Octave 3.8, oct_fill_randg

Time bar (total: 12.6s)

analyze24.0ms (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: 13.0ms
ival-mult: 6.0ms (48% of total)
ival-div: 2.0ms (16% 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)

sample1.4s (11.2%)

Results
988.0ms8256×0valid
71.0ms481×0invalid
Precisions
Click to see histograms. Total time spent on operations: 671.0ms
ival-mult: 214.0ms (31.9% of total)
ival-div: 180.0ms (26.8% of total)
ival-sqrt: 100.0ms (14.9% of total)
ival-add: 94.0ms (14% of total)
ival-sub: 59.0ms (8.8% of total)
const: 20.0ms (3% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess276.0ms (2.2%)

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
111984
240774
3155972
4593972
01414
13613
28812
323112
456012
5100712
6162212
7282512
8740612
9783312
10798812
0811212
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 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))))
Call 2
Inputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand)))
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand))))
(neg (* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand))))
(neg (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand)))))
(* (- rand (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- rand (/ 1 3))))) a)))
Outputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(* (+ a -1/3) (fma (fast-isqrt (fma a 9 -3)) rand 1))
(* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand)))
(* (- -1/3 a) (fma rand (fast-isqrt (fma a -9 -3)) 1))
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand))))
(* (+ a -1/3) (fnmsub (fast-isqrt (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 (fast-isqrt (fma a -9 -3)) 1))
(neg (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand)))))
(* (+ a -1/3) (fmsub (fast-isqrt (fma a 9 -3)) rand 1))
(* (- rand (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- rand (/ 1 3))))) a)))
(* (+ rand -1/3) (fma a (fast-isqrt (fma 9 rand -3)) 1))

explain223.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
00-0-(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
00-0-#s(literal 9 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-rand
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))
00-0-a
Results
151.0ms488×0valid
6.0ms6×5exit
4.0ms12×1valid
3.0ms6×2valid
Compiler

Compiled 196 to 41 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 11.0ms (28.9% of total)
ival-div: 10.0ms (26.3% of total)
ival-add: 6.0ms (15.8% of total)
ival-sqrt: 5.0ms (13.1% of total)
ival-sub: 3.0ms (7.9% of total)
backward-pass: 2.0ms (5.3% of total)
const: 1.0ms (2.6% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 13 computations (18.8% saved)

prune4.0ms (0%)

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

Compiled 38 to 26 computations (31.6% saved)

simplify160.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
✓cost-diff128
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓cost-diff0
(/.f64 rand (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #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 #s(literal -3 binary64) (*.f64 a #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: 1 (0.0ms)

IterNodesCost
023113
15398
214098
332398
467898
5112198
6174798
7297598
8758198
0801498
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ -3 (* a 9))))))
(+ a -1/3)
a
-1/3
(+ 1 (/ rand (sqrt (+ -3 (* a 9)))))
1
(/ rand (sqrt (+ -3 (* a 9))))
rand
(sqrt (+ -3 (* a 9)))
(+ -3 (* a 9))
-3
(* a 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 (+ -3 (* a 9))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 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 (+ -3 (* a 9)))))
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))))
1
#s(literal 1 binary64)
(/ rand (sqrt (+ -3 (* a 9))))
(/.f64 rand (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
rand
(sqrt (+ -3 (* a 9)))
(sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(+ -3 (* a 9))
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))
-3
#s(literal -3 binary64)
(* a 9)
(*.f64 a #s(literal 9 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 #s(literal -3 binary64) (*.f64 a #s(literal 9 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 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))))
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(/.f64 rand (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(sqrt (* 9 (- a (/ 1 3))))
(sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(* 9 (- a (/ 1 3)))
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))
9
#s(literal 9 binary64)
rand

localize152.0ms (1.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
✓accuracy99.7%
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
✓accuracy99.9%
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))
✓accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))))
✓accuracy99.7%
(sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
✓accuracy99.7%
(/.f64 rand (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
Results
107.0ms244×0valid
5.0ms3×5exit
4.0ms6×1valid
3.0ms3×2valid
Compiler

Compiled 142 to 23 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 37.0ms (58.8% of total)
ival-div: 6.0ms (9.5% of total)
ival-add: 6.0ms (9.5% of total)
...c/correct-round.rkt:119:19: 5.0ms (7.9% of total)
ival-sqrt: 4.0ms (6.4% of total)
ival-sub: 2.0ms (3.2% of total)
backward-pass: 2.0ms (3.2% of total)
const: 1.0ms (1.6% of total)

series79.0ms (0.6%)

Counts
12 → 192
Calls
Call 1
Inputs
#<alt (* (+ a -1/3) (+ 1 (/ rand (sqrt (+ -3 (* a 9))))))>
#<alt (+ a -1/3)>
#<alt (+ 1 (/ rand (sqrt (+ -3 (* a 9)))))>
#<alt (/ rand (sqrt (+ -3 (* a 9))))>
#<alt (/ 1 3)>
#<alt (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)>
#<alt (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))>
#<alt (- a (/ 1 3))>
#<alt (sqrt (+ -3 (* a 9)))>
#<alt (+ -3 (* a 9))>
#<alt (/ 1 (sqrt (* 9 (- a (/ 1 3)))))>
#<alt (sqrt (* 9 (- a (/ 1 3))))>
Outputs
#<alt (* -1/3 (+ 1 (* rand (sqrt -1/3))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt 1>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (+ 1 (* rand (sqrt -1/3)))>
#<alt (+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt -1/3))>
#<alt (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (sqrt -3)>
#<alt (+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))>
#<alt (+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))>
#<alt -3>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (* 9 a)>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* 9 a)>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* 1/3 (sqrt -3))>
#<alt (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))>
#<alt (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))>
#<alt (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))>
#<alt (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))>
#<alt (* 3 (sqrt -1/3))>
#<alt (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))>
#<alt (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))>
Calls

48 calls:

TimeVariablePointExpression
40.0ms
a
@0
(+ 1 (/ rand (sqrt (+ -3 (* a 9)))))
3.0ms
a
@-inf
(sqrt (* 9 (- a (/ 1 3))))
2.0ms
a
@inf
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
2.0ms
rand
@0
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ -3 (* a 9))))))
1.0ms
a
@0
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ -3 (* a 9))))))

rewrite306.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
2948×*-lowering-*.f32
2948×*-lowering-*.f64
2738×/-lowering-/.f32
2738×/-lowering-/.f64
1304×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02384
113372
2135772
0865272
Stop Event
1×iter limit
1×node limit
Counts
12 → 590
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ -3 (* a 9))))))
(+ a -1/3)
(+ 1 (/ rand (sqrt (+ -3 (* a 9)))))
(/ rand (sqrt (+ -3 (* a 9))))
(/ 1 3)
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(- a (/ 1 3))
(sqrt (+ -3 (* a 9)))
(+ -3 (* a 9))
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(sqrt (* 9 (- a (/ 1 3))))
Outputs
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) a))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (*.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.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 a (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))))
(fma.f64 #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)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 rand (*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) a))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 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 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) (+.f64 a #s(literal -1/3 binary64)))
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(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 rand #s(literal -3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (/.f64 rand #s(literal -3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (*.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 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) rand))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) rand))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
(/.f64 rand (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) rand)))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 rand #s(literal -1 binary64)) (*.f64 #s(literal -3 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 (neg.f64 (*.f64 rand #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 (neg.f64 (/.f64 rand #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 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 -1/3 binary64) (/.f64 rand (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))
(*.f64 rand (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) rand)
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 1 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) rand))))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 (*.f64 rand #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.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 (/.f64 rand (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64))))
(*.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) rand) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) rand) #s(literal -1/2 binary64)))
#s(literal 1/3 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) rand)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 rand #s(literal -3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (/.f64 rand #s(literal -3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (*.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 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) rand))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) rand))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))))
(/.f64 rand (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) rand)))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 rand #s(literal -1 binary64)) (*.f64 #s(literal -3 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 (neg.f64 (*.f64 rand #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 (neg.f64 (/.f64 rand #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 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 -1/3 binary64) (/.f64 rand (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))
(*.f64 rand (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) rand)
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 1 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) rand))))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 (*.f64 rand #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.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 (/.f64 rand (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64))))
(*.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) rand) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) rand) #s(literal -1/2 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)) (/.f64 rand #s(literal 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)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) a))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (*.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.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 a (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))))
(fma.f64 #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)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 rand (*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) a))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 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 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
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(*.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 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64))))))
(*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -27 binary64) a)))))
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -9 binary64) a))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -9 binary64) 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 #s(literal 9 binary64) (+.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 #s(literal 9 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 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 a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 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 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 9 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 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 a #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 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 a #s(literal 9 binary64))) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/4 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 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -9 binary64) a))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) #s(literal -1 binary64)))
(sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -9 binary64) a))) (sqrt.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)))) (sqrt.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -27 binary64) a)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64)))) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -9 binary64) a))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -9 binary64) a)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 81 binary64)) #s(literal -9 binary64))) (sqrt.f64 (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 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 a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))) (sqrt.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 9 binary64))) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -9 binary64) a)))))
(pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 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 #s(literal -3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 729 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -9 binary64) a))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -9 binary64) a)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a a) #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -9 binary64) a)))))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64)))

simplify264.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
4734×*-lowering-*.f32
4734×*-lowering-*.f64
3032×+-lowering-+.f64
3032×+-lowering-+.f32
1848×sum4-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05253380
118152893
271102893
082362893
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* -1/3 (+ 1 (* rand (sqrt -1/3))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(- a 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(+ 1 (* rand (sqrt -1/3)))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt -1/3))
(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
-3
(- (* 9 a) 3)
(- (* 9 a) 3)
(- (* 9 a) 3)
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* 1/3 (sqrt -3))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(* 1/3 (sqrt (/ 1 a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(* 3 (sqrt -1/3))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
Outputs
(* -1/3 (+ 1 (* rand (sqrt -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 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 15/16 binary64) rand) (sqrt.f64 #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 rand #s(literal 1/3 binary64)))))
(* 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 rand #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 -1/9 binary64))) a)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/9 binary64))) a) (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 0 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/9 binary64))) a) (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))))
(* -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 rand #s(literal 1/3 binary64))))) 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 (-.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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/18 binary64))) #s(literal -1/3 binary64)) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/9 binary64))) a)) (neg.f64 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 #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 (+.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 #s(literal 1/18 binary64) (*.f64 rand (sqrt.f64 a))) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64))) a)) a))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (+.f64 a (*.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (+.f64 a (*.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(+.f64 #s(literal -1/3 binary64) (+.f64 a (*.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (*.f64 (neg.f64 rand) #s(literal -1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (*.f64 (neg.f64 rand) #s(literal -1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (*.f64 (neg.f64 rand) #s(literal -1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+.f64 #s(literal 1 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+.f64 #s(literal 1 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+.f64 #s(literal 1 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(+ 1 (* rand (sqrt -1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) rand) a) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 rand #s(literal 45/8 binary64)))) (sqrt.f64 #s(literal -1/3 binary64))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+.f64 #s(literal 1 binary64) (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))
(+.f64 (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (*.f64 #s(literal 3/2 binary64) (*.f64 rand (*.f64 (+.f64 #s(literal 1/243 binary64) (*.f64 a #s(literal -1/324 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))))
(+ 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)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/54 binary64) (*.f64 rand (sqrt.f64 a))) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (+.f64 #s(literal 1/243 binary64) (*.f64 a #s(literal -1/324 binary64))) #s(literal 3/2 binary64)))) (*.f64 a (*.f64 a a)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(* rand (sqrt -1/3))
(*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+.f64 (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+.f64 (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) rand) a) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
(+.f64 (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 rand #s(literal 45/8 binary64)))) (sqrt.f64 #s(literal -1/3 binary64))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (+.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)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand)) (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (*.f64 #s(literal 3/2 binary64) (*.f64 rand (*.f64 (+.f64 #s(literal 1/243 binary64) (*.f64 a #s(literal -1/324 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (+.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)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(-.f64 (*.f64 rand (+.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 #s(literal 1/54 binary64) (*.f64 rand (sqrt.f64 a))) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (+.f64 #s(literal 1/243 binary64) (*.f64 a #s(literal -1/324 binary64))) #s(literal 3/2 binary64)))) (*.f64 a (*.f64 a 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 (*.f64 rand a) #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 rand #s(literal -27/8 binary64)) a) (sqrt.f64 #s(literal -3 binary64))))))
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(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
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(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* -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)))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
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(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
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(* -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)))))
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(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))) (/.f64 (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 rand (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 a))) (*.f64 (*.f64 rand (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) #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)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* -1 (* 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))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a)) #s(literal -1 binary64)))
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
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(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
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(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -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 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 a (+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.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)))) (neg.f64 a))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) (+.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)))) (neg.f64 a))
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))
(- (* 9 a) 3)
(+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))
(- (* 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))))
(*.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 (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) a)) (neg.f64 a))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) a)) (neg.f64 a))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) a)) (neg.f64 a))
(* 1/3 (sqrt -3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64)))))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -27/8 binary64) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -135/16 binary64) a) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+.f64 (+.f64 (*.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)))) #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 (*.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))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.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 -1/18 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 (*.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 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 a (*.f64 a a))))
(* 3 (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 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 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 a (+.f64 (*.f64 #s(literal 9/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 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 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 a (+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 a)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.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))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (*.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))))) (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))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(*.f64 (+.f64 (*.f64 (*.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))))) (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))))) (neg.f64 a))

eval157.0ms (1.3%)

Compiler

Compiled 24869 to 2561 computations (89.7% saved)

prune96.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New8279836
Fresh000
Picked202
Done000
Total8299838
Accuracy
100.0%
Counts
838 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
▶99.8%
(+.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1/3 binary64)))
▶67.2%
(+.f64 #s(literal -1/3 binary64) a)
▶99.8%
(*.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))))))
98.4%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
▶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))))))
28.5%
(*.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
34.8%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
▶72.7%
(*.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))
Compiler

Compiled 248 to 182 computations (26.6% saved)

simplify237.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓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 a #s(literal -1/3 binary64))
✓cost-diff0
(*.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))))))
✓cost-diff0
(+.f64 #s(literal -1/3 binary64) a)
✓cost-diff0
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
✓cost-diff0
(+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
✓cost-diff128
(*.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))
✓cost-diff0
(/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #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 a #s(literal 9 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 rand #s(literal 1/3 binary64)))
✓cost-diff0
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1/3 binary64))
✓cost-diff0
(+.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1/3 binary64)))
Rules
2162×*-lowering-*.f32
2162×*-lowering-*.f64
2048×sum4-define
1852×+-lowering-+.f64
1852×+-lowering-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028180
168179
2163179
3523179
41044179
52148179
64165179
76964179
87944179
08104179
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ a (+ (* (sqrt (+ -1/3 a)) (* rand 1/3)) -1/3))
a
(+ (* (sqrt (+ -1/3 a)) (* rand 1/3)) -1/3)
(* (sqrt (+ -1/3 a)) (* rand 1/3))
(sqrt (+ -1/3 a))
(+ -1/3 a)
-1/3
(* rand 1/3)
rand
1/3
(+ -1/3 a)
-1/3
a
(* (+ a -1/3) (+ 1 (/ rand (sqrt (* a 9)))))
(+ a -1/3)
a
-1/3
(+ 1 (/ rand (sqrt (* a 9))))
1
(/ rand (sqrt (* a 9)))
rand
(sqrt (* a 9))
(* a 9)
9
(* rand (+ (/ (+ -1/3 a) rand) (* 1/3 (sqrt (+ -1/3 a)))))
rand
(+ (/ (+ -1/3 a) rand) (* 1/3 (sqrt (+ -1/3 a))))
(/ (+ -1/3 a) rand)
(+ -1/3 a)
-1/3
a
(* 1/3 (sqrt (+ -1/3 a)))
1/3
(sqrt (+ -1/3 a))
(* (+ a -1/3) (+ 1 (/ (/ rand 3) (sqrt (+ a -1/3)))))
(+ a -1/3)
a
-1/3
(+ 1 (/ (/ rand 3) (sqrt (+ a -1/3))))
1
(/ (/ rand 3) (sqrt (+ a -1/3)))
(/ rand 3)
rand
3
(sqrt (+ a -1/3))
Outputs
(+ a (+ (* (sqrt (+ -1/3 a)) (* rand 1/3)) -1/3))
(+.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
a
(+ (* (sqrt (+ -1/3 a)) (* rand 1/3)) -1/3)
(+.f64 #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)) (* rand 1/3))
(*.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)
(* rand 1/3)
(/.f64 rand #s(literal 3 binary64))
rand
1/3
#s(literal 1/3 binary64)
(+ -1/3 a)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
a
(* (+ a -1/3) (+ 1 (/ rand (sqrt (* a 9)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
(+ 1 (/ rand (sqrt (* a 9))))
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64)))))
1
#s(literal 1 binary64)
(/ rand (sqrt (* a 9)))
(/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))
rand
(sqrt (* a 9))
(sqrt.f64 (*.f64 a #s(literal 9 binary64)))
(* a 9)
(*.f64 a #s(literal 9 binary64))
9
#s(literal 9 binary64)
(* rand (+ (/ (+ -1/3 a) rand) (* 1/3 (sqrt (+ -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)))
rand
(+ (/ (+ -1/3 a) rand) (* 1/3 (sqrt (+ -1/3 a))))
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(/ (+ -1/3 a) rand)
(/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
(+ -1/3 a)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
a
(* 1/3 (sqrt (+ -1/3 a)))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(sqrt (+ -1/3 a))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(* (+ a -1/3) (+ 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 (/ (/ 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)))))
1
#s(literal 1 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)))

localize203.0ms (1.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
✓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 #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
✓accuracy99.6%
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓accuracy100.0%
(+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
✓accuracy72.8%
(*.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))
✓accuracy100.0%
(*.f64 a #s(literal 9 binary64))
✓accuracy99.8%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
✓accuracy99.7%
(sqrt.f64 (*.f64 a #s(literal 9 binary64)))
✓accuracy99.6%
(/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) a)
✓accuracy100.0%
(+.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1/3 binary64)))
✓accuracy100.0%
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1/3 binary64))
✓accuracy99.5%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
✓accuracy99.5%
(*.f64 rand #s(literal 1/3 binary64))
Results
133.0ms256×0valid
Compiler

Compiled 188 to 29 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 11.0ms (24.8% of total)
ival-add: 10.0ms (22.6% of total)
...c/correct-round.rkt:119:19: 9.0ms (20.3% of total)
ival-div: 7.0ms (15.8% of total)
ival-sqrt: 6.0ms (13.5% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series43.0ms (0.3%)

Counts
20 → 384
Calls
Call 1
Inputs
#<alt (+ a (+ (* (sqrt (+ -1/3 a)) (* rand 1/3)) -1/3))>
#<alt (+ (* (sqrt (+ -1/3 a)) (* rand 1/3)) -1/3)>
#<alt (* (sqrt (+ -1/3 a)) (* rand 1/3))>
#<alt (sqrt (+ -1/3 a))>
#<alt (+ -1/3 a)>
#<alt (* (+ a -1/3) (+ 1 (/ rand (sqrt (* a 9)))))>
#<alt (+ a -1/3)>
#<alt (+ 1 (/ rand (sqrt (* a 9))))>
#<alt (/ rand (sqrt (* a 9)))>
#<alt (* rand (+ (/ (+ -1/3 a) rand) (* 1/3 (sqrt (+ -1/3 a)))))>
#<alt (+ (/ (+ -1/3 a) rand) (* 1/3 (sqrt (+ -1/3 a))))>
#<alt (/ (+ -1/3 a) rand)>
#<alt (* (+ a -1/3) (+ 1 (/ (/ rand 3) (sqrt (+ a -1/3)))))>
#<alt (+ 1 (/ (/ rand 3) (sqrt (+ a -1/3))))>
#<alt (/ (/ rand 3) (sqrt (+ a -1/3)))>
#<alt (* rand 1/3)>
#<alt (sqrt (* a 9))>
#<alt (* a 9)>
#<alt (* 1/3 (sqrt (+ -1/3 a)))>
#<alt (sqrt (+ a -1/3))>
Outputs
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) 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)))))) 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)))))))) 1/3)>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (- (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ (* -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 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a)))))>
#<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)))))))>
#<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)))))))>
#<alt -1/3>
#<alt (- (* 1/3 (* rand (sqrt (- a 1/3)))) 1/3)>
#<alt (- (* 1/3 (* rand (sqrt (- a 1/3)))) 1/3)>
#<alt (- (* 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))) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (* 1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (* 1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand)))))>
#<alt (* -1 (* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand)))))>
#<alt (* -1 (* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand)))))>
#<alt (* 1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt -1/3>
#<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 (* (sqrt (/ 1 a)) rand))>
#<alt (/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)>
#<alt (/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)>
#<alt (/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)>
#<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)) (* 1/3 (* (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 (* (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))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- 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 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))>
#<alt (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))>
#<alt (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))>
#<alt (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))>
#<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 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))>
#<alt (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))>
#<alt (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))>
#<alt (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))>
#<alt (+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))>
#<alt (+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))>
#<alt (+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))>
#<alt (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))>
#<alt (* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))>
#<alt (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))>
#<alt (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))>
#<alt (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (* 1/3 (sqrt (- a 1/3)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (* 1/3 (sqrt (- a 1/3)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (/ -1/3 rand)>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (/ a rand)>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (/ a rand)>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<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 (* 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 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 (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))>
#<alt (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))>
#<alt (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))>
#<alt (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))>
#<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 (* 1/3 (sqrt -1/3))>
#<alt (+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))>
#<alt (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/3 (sqrt (/ 1 a)))))))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
Calls

96 calls:

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

rewrite419.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
3756×/-lowering-/.f32
3756×/-lowering-/.f64
2600×*-lowering-*.f32
2600×*-lowering-*.f64
1586×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028141
1185137
22080137
08300137
Stop Event
1×iter limit
1×node limit
Counts
20 → 1225
Calls
Call 1
Inputs
(+ a (+ (* (sqrt (+ -1/3 a)) (* rand 1/3)) -1/3))
(+ (* (sqrt (+ -1/3 a)) (* rand 1/3)) -1/3)
(* (sqrt (+ -1/3 a)) (* rand 1/3))
(sqrt (+ -1/3 a))
(+ -1/3 a)
(* (+ a -1/3) (+ 1 (/ rand (sqrt (* a 9)))))
(+ a -1/3)
(+ 1 (/ rand (sqrt (* a 9))))
(/ rand (sqrt (* a 9)))
(* rand (+ (/ (+ -1/3 a) rand) (* 1/3 (sqrt (+ -1/3 a)))))
(+ (/ (+ -1/3 a) rand) (* 1/3 (sqrt (+ -1/3 a))))
(/ (+ -1/3 a) rand)
(* (+ a -1/3) (+ 1 (/ (/ rand 3) (sqrt (+ a -1/3)))))
(+ 1 (/ (/ rand 3) (sqrt (+ a -1/3))))
(/ (/ rand 3) (sqrt (+ a -1/3)))
(* rand 1/3)
(sqrt (* a 9))
(* a 9)
(* 1/3 (sqrt (+ -1/3 a)))
(sqrt (+ a -1/3))
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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 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 #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(+.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 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 (*.f64 a 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 (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 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)))
(-.f64 (/.f64 (pow.f64 (+.f64 a (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) #s(literal 2 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 #s(literal 1/9 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 (+.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))))
(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 (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 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand (/.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 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(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 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 (pow.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) #s(literal 3/2 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal -1/9 binary64)))) a)
(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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.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 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (+.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) #s(literal 1/3 binary64))) a)
(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 (+.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 (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 rand (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand #s(literal 3 binary64))) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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))) (-.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 (*.f64 a a)) (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 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 a #s(literal 1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) (-.f64 (*.f64 a a) (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 (*.f64 a (*.f64 a a)) (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 3 binary64))) (+.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))) (-.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 (*.f64 a (*.f64 a a)) (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 3 binary64))) (+.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 a a) (*.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 (-.f64 (*.f64 a a) (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 a #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 binary64) (neg.f64 (/.f64 (+.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))) (-.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 (*.f64 a a)) (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 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 a #s(literal 1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) (-.f64 (*.f64 a a) (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 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.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 1/9 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 #s(literal -1/27 binary64) (*.f64 a (*.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 (*.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 #s(literal -1/27 binary64) (*.f64 a (*.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 1/9 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 #s(literal -1/27 binary64) (*.f64 a (*.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 (*.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 #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 (*.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 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 -1/27 binary64) (*.f64 a (*.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 1/9 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 #s(literal -1/27 binary64) (*.f64 a (*.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 (*.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 #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) (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))))
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
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(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
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(*.f64 (/.f64 rand (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
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(*.f64 (/.f64 rand (/.f64 rand (+.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 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))))
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal -1/2 binary64)))) a) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal -1/2 binary64)))) #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 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))))) (/.f64 (pow.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))) #s(literal 2 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal -1/2 binary64))))))
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(fma.f64 rand (*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal -1/2 binary64)))) a (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal -1/2 binary64)))) #s(literal -1/3 binary64)))
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(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 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))))
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(exp.f64 (*.f64 (log.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand) (/.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)) rand))
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(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) rand)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand)))
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(-.f64 (/.f64 (*.f64 a a) (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) rand)))
(neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
(/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (-.f64 #s(literal 0 binary64) rand))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 rand (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (*.f64 rand (+.f64 a #s(literal 1/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) rand))
(/.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) rand))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1/3 binary64) a) rand))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(/.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (neg.f64 (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (neg.f64 (*.f64 rand (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (neg.f64 (*.f64 rand (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (neg.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (neg.f64 (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))))
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(/.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))
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(+.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)))))))
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(-.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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(-.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 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 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 -1/3 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (sqrt.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (sqrt.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (sqrt.f64 (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (neg.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 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 a #s(literal -1/3 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (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 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (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 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (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 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (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 #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 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))

simplify315.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
4778×*-lowering-*.f32
4778×*-lowering-*.f64
3688×+-lowering-+.f64
3688×+-lowering-+.f32
1660×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05985365
120734722
083754722
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
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))) 1/3)
(- (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) 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)
(- (+ (* 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)
(* 1/3 (* (sqrt a) rand))
(* a (- (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -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))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 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 (* 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)))))))
-1/3
(- (* 1/3 (* rand (sqrt (- a 1/3)))) 1/3)
(- (* 1/3 (* rand (sqrt (- a 1/3)))) 1/3)
(- (* 1/3 (* rand (sqrt (- a 1/3)))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (* 1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))
(* rand (- (* 1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))
(* rand (- (* 1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand)))))
(* -1 (* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand)))))
(* -1 (* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand)))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
-1/3
(- 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 (* (sqrt (/ 1 a)) rand))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (* (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))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
-1/3
(- 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 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(* 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))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(/ (- a 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(* 1/3 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(* 1/3 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(/ -1/3 rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/ a rand)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(/ a rand)
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(* -1/3 (+ 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 (* 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 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 9 a)
(* 1/3 (sqrt -1/3))
(+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))
(* 1/3 (sqrt a))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/3 (sqrt (/ 1 a)))))))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
Outputs
(- (* 1/3 (* 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 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))))) (+.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))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(+.f64 (*.f64 a (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #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 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -1/18 binary64) rand)) (+.f64 (+.f64 (*.f64 rand (+.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))))))) #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 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (neg.f64 a))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(*.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))) (neg.f64 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 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 binary64))) a))) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
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(*.f64 (+.f64 (*.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) a)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)))) (neg.f64 a))
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(*.f64 (+.f64 (+.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) a)) #s(literal -1 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)))) (neg.f64 a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 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 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64)) (neg.f64 a))
(* -1/9 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)
(/.f64 (+.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) #s(literal -1/9 binary64)) (*.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))) a)
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(/.f64 (+.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) #s(literal -1/9 binary64)) (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (+.f64 #s(literal -1/3 binary64) a)))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/.f64 (+.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) #s(literal -1/9 binary64)) (*.f64 a (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (+.f64 #s(literal -1/3 binary64) a)))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)))) a)))
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)))) a)))
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)))) a)))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) a) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) a) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) a) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) (neg.f64 a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 #s(literal -1/3 binary64) a))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal -1/3 binary64) a)))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal -1/3 binary64) a)))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal -1/3 binary64) a)))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 #s(literal -1/3 binary64) a))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(*.f64 (neg.f64 rand) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) (+.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 (/ 1 a)) (- a 1/3))))))
(*.f64 (neg.f64 rand) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) (+.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 (/ 1 a)) (- a 1/3))))))
(*.f64 (neg.f64 rand) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64)) (neg.f64 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))
(*.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 (neg.f64 rand) (+.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal -1 binary64) rand)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(*.f64 (neg.f64 rand) (+.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal -1 binary64) rand)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(*.f64 (neg.f64 rand) (+.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal -1 binary64) 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)))
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(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
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(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
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(+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
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(* 1/3 (* (sqrt (/ 1 a)) rand))
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(* 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))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(- 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))))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(- a 1/3)
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1
#s(literal 1 binary64)
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
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(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt -3)))
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(* 1/3 (* (sqrt (/ 1 a)) rand))
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(*.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)))))))
(+ (* -1/18 (* (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) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -1/18 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 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(+ (* -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 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (/.f64 (+.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/54 binary64)) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))) #s(literal 1/6 binary64)))) (*.f64 a (*.f64 a a))))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.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)
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 a)))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 a)))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 a)))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 a)))
(* 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))
(* 1/3 (sqrt -1/3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))))))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (-.f64 (/.f64 (*.f64 a #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(*.f64 a (+.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)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))
(*.f64 a (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 #s(literal 1/3 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)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/3 (sqrt (/ 1 a)))))))
(*.f64 a (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 #s(literal 1/3 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 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))))))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 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 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/216 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/18 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 1/216 binary64)) (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))) (neg.f64 a))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (*.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 (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 (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)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.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)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (+.f64 (*.f64 (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) a)) #s(literal -1 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 (* 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) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)))) (neg.f64 a))

eval411.0ms (3.3%)

Compiler

Compiled 51531 to 5024 computations (90.3% saved)

prune278.0ms (2.2%)

Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New2172182190
Fresh314
Picked325
Done000
Total2178212199
Accuracy
100.0%
Counts
2199 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.0%
(/.f64 (+.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)))))
▶70.4%
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
41.0%
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
▶21.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
98.4%
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))) (+.f64 a #s(literal -1/3 binary64)))
▶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)))
99.9%
(+.f64 a (+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
98.6%
(+.f64 a (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
▶97.2%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
✓67.2%
(+.f64 #s(literal -1/3 binary64) a)
40.0%
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
67.0%
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
25.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
13.0%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
✓99.8%
(*.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))))))
98.4%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
34.8%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
34.8%
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
97.2%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
66.0%
a
▶1.5%
#s(literal -1/3 binary64)
Compiler

Compiled 489 to 349 computations (28.6% saved)

simplify163.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓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 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
✓cost-diff0
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
✓cost-diff0
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
✓cost-diff256
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff0
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 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
3384×*-lowering-*.f32
3384×*-lowering-*.f64
2904×+-lowering-+.f64
2904×+-lowering-+.f32
1772×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027129
158124
2125123
3202123
4293123
5440123
61059123
72760123
87063123
08001123
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
-1/3
(/ (* (+ a -1/3) rand) rand)
(* (+ a -1/3) rand)
(+ a -1/3)
a
-1/3
rand
(/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a)))))
1
(/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a))))
(+ 1/9 (* a (+ a 1/3)))
1/9
(* a (+ a 1/3))
a
(+ a 1/3)
1/3
(+ -1/27 (* a (* a a)))
-1/27
(* a (* a a))
(* a a)
(+ a (* 1/3 (* rand (sqrt a))))
a
(* 1/3 (* rand (sqrt a)))
1/3
(* rand (sqrt a))
rand
(sqrt a)
Outputs
(+ (/ (sqrt (+ a -1/3)) (/ 3 rand)) (+ a -1/3))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))))
(/ (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
-1/3
#s(literal -1/3 binary64)
(/ (* (+ a -1/3) rand) rand)
(+.f64 a #s(literal -1/3 binary64))
(* (+ a -1/3) rand)
(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
rand
(/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a)))))
(/.f64 (+.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)))))
1
#s(literal 1 binary64)
(/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a))))
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))
(+ 1/9 (* a (+ a 1/3)))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
1/9
#s(literal 1/9 binary64)
(* a (+ a 1/3))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
a
(+ a 1/3)
(+.f64 a #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ -1/27 (* a (* a a)))
(+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))
-1/27
#s(literal -1/27 binary64)
(* a (* a a))
(*.f64 a (*.f64 a a))
(* a a)
(*.f64 a a)
(+ a (* 1/3 (* rand (sqrt a))))
(+.f64 a (*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))))
a
(* 1/3 (* rand (sqrt a)))
(*.f64 (sqrt.f64 a) (/.f64 rand #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)

localize159.0ms (1.3%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy100.0%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
✓accuracy99.6%
(*.f64 rand (sqrt.f64 a))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
✓accuracy100.0%
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
✓accuracy99.8%
(*.f64 a (*.f64 a a))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
✓accuracy31.7%
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
✓accuracy77.6%
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 (+.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)))
✓accuracy99.2%
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))
Results
115.0ms256×0valid
Compiler

Compiled 146 to 28 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 14.0ms (28.4% of total)
...c/correct-round.rkt:119:19: 14.0ms (28.4% of total)
ival-div: 9.0ms (18.2% of total)
ival-add: 8.0ms (16.2% of total)
ival-sqrt: 4.0ms (8.1% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
15 → 264
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 (/ (* (+ a -1/3) rand) rand)>
#<alt (* (+ a -1/3) rand)>
#<alt (/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a)))))>
#<alt (/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a))))>
#<alt (+ 1/9 (* a (+ a 1/3)))>
#<alt (* a (+ a 1/3))>
#<alt (+ a (* 1/3 (* rand (sqrt a))))>
#<alt (* 1/3 (* rand (sqrt a)))>
#<alt (* rand (sqrt a))>
#<alt (sqrt a)>
#<alt (* a (* a a))>
Outputs
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* 1/3 (* 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)>
#<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 (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (* -1/3 rand)>
#<alt (+ (* -1/3 rand) (* a rand))>
#<alt (+ (* -1/3 rand) (* a rand))>
#<alt (+ (* -1/3 rand) (* a rand))>
#<alt (* a rand)>
#<alt (* a (+ rand (* -1/3 (/ rand a))))>
#<alt (* a (+ rand (* -1/3 (/ rand a))))>
#<alt (* a (+ rand (* -1/3 (/ rand a))))>
#<alt (* a rand)>
#<alt (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))>
#<alt (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))>
#<alt (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- 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>
#<alt (- (* -9 a) 3)>
#<alt (- (* a (- (* -27 a) 9)) 3)>
#<alt (- (* a (- (* a (- (* -81 a) 27)) 9)) 3)>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* 1/3 (/ 1 a))) a)>
#<alt (/ (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))) a)>
#<alt (/ (+ 1 (+ (/ 1/9 (pow a 2)) (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))))) a)>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* 1/3 (/ 1 a))) a)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 a))) a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow a 2)) (* 1/9 (/ 1 a)))) a)) 1) a))>
#<alt 1/9>
#<alt (+ 1/9 (* 1/3 a))>
#<alt (+ 1/9 (* a (+ 1/3 a)))>
#<alt (+ 1/9 (* a (+ 1/3 a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))>
#<alt (* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))>
#<alt (* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))>
#<alt (* 1/3 a)>
#<alt (* a (+ 1/3 a))>
#<alt (* a (+ 1/3 a))>
#<alt (* a (+ 1/3 a))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt a) 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 (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

66 calls:

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

rewrite387.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
4664×*-lowering-*.f32
4664×*-lowering-*.f64
3324×/-lowering-/.f32
3324×/-lowering-/.f64
1754×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027101
116693
2151693
0859693
Stop Event
1×iter limit
1×node limit
Counts
15 → 504
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) rand) rand)
(* (+ a -1/3) rand)
(/ 1 (/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a)))))
(/ (+ 1/9 (* a (+ a 1/3))) (+ -1/27 (* a (* a a))))
(+ 1/9 (* a (+ a 1/3)))
(* a (+ a 1/3))
(+ a (* 1/3 (* rand (sqrt a))))
(* 1/3 (* rand (sqrt a)))
(* rand (sqrt a))
(sqrt a)
(* 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 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) rand) (/.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 (+.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 #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 -1/27 binary64) (*.f64 a (*.f64 a a))) (/.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 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 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 (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))) #s(literal 1 binary64)) (/.f64 rand #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(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)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) rand) (/.f64 #s(literal 3 binary64) rand))) (-.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 #s(literal 3 binary64) rand) (/.f64 #s(literal 3 binary64) rand))) #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 #s(literal 3 binary64) rand) (/.f64 #s(literal 3 binary64) rand))) (*.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 #s(literal 3 binary64) rand) (/.f64 #s(literal 3 binary64) rand))) #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 #s(literal 3 binary64) rand) (/.f64 #s(literal 3 binary64) rand))) (-.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 #s(literal 3 binary64) rand) (/.f64 #s(literal 3 binary64) rand))) #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 #s(literal 3 binary64) rand) (/.f64 #s(literal 3 binary64) rand))) (/.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 #s(literal 3 binary64) rand) (/.f64 #s(literal 3 binary64) rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 3 binary64) rand)) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (+.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 3 binary64) rand)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal -3 binary64) rand)) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.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 a) (-.f64 #s(literal 1/9 binary64) (*.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) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 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) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 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 (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 #s(literal 3 binary64) rand) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 #s(literal 3 binary64) rand) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.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 #s(literal 1 binary64) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) rand) (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))))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal -3 binary64) rand) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 #s(literal -3 binary64) rand) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (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 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) rand) (/.f64 #s(literal 3 binary64) rand))) #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)))))) (neg.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) rand) (/.f64 #s(literal 3 binary64) rand))) (-.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 (neg.f64 (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) rand) (/.f64 #s(literal 3 binary64) rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (neg.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 (pow.f64 (+.f64 a (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 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 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) rand) (/.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 (pow.f64 (+.f64 a (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) #s(literal 2 binary64)) #s(literal 1/9 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 #s(literal 3 binary64) rand) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) rand) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) rand)) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -3 binary64) rand)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) rand) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) rand)))
(/.f64 (+.f64 (/.f64 #s(literal 3 binary64) rand) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)))) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (+.f64 (/.f64 #s(literal 3 binary64) rand) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 3 binary64) rand)))
(/.f64 (+.f64 #s(literal 3 binary64) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand))) (*.f64 (/.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) #s(literal 3 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 3 binary64) rand) (*.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 #s(literal 3 binary64) rand)))
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(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand))) (neg.f64 (-.f64 #s(literal 0 binary64) rand)))
(/.f64 (*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 1 binary64)) rand)
(/.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal 1/3 binary64)))
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(*.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
(*.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand))
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(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal -1/3 binary64)))))
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(*.f64 rand (+.f64 a #s(literal -1/3 binary64)))
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(+.f64 (*.f64 (*.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 #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)))))))
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(fma.f64 (*.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 #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)))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
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(pow.f64 (/.f64 (-.f64 (+.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))) (*.f64 (*.f64 a #s(literal 1/3 binary64)) (*.f64 rand (sqrt.f64 a)))) (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 a (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 a)))) (-.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))) (*.f64 (*.f64 a #s(literal 1/3 binary64)) (*.f64 rand (sqrt.f64 a))))))
(*.f64 (-.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 a (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 a))))))
(*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)
(*.f64 rand (sqrt.f64 a))
(*.f64 (sqrt.f64 a) rand)
(exp.f64 (*.f64 (log.f64 a) #s(literal 1/2 binary64)))
(sqrt.f64 a)
(pow.f64 a #s(literal 1/2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 a)))
(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)))

simplify290.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
4110×+-lowering-+.f64
4110×+-lowering-+.f32
4064×*-lowering-*.f32
4064×*-lowering-*.f64
1084×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03062194
19771981
235701954
081531954
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
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
(* 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)))
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(* -1/3 rand)
(+ (* -1/3 rand) (* a rand))
(+ (* -1/3 rand) (* a rand))
(+ (* -1/3 rand) (* a rand))
(* a rand)
(* a (+ rand (* -1/3 (/ rand a))))
(* a (+ rand (* -1/3 (/ rand a))))
(* a (+ rand (* -1/3 (/ rand a))))
(* a rand)
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
-3
(- (* -9 a) 3)
(- (* a (- (* -27 a) 9)) 3)
(- (* a (- (* a (- (* -81 a) 27)) 9)) 3)
(/ 1 a)
(/ (+ 1 (* 1/3 (/ 1 a))) a)
(/ (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))) a)
(/ (+ 1 (+ (/ 1/9 (pow a 2)) (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))))) a)
(/ 1 a)
(/ (+ 1 (* 1/3 (/ 1 a))) a)
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 a))) a)) 1) a))
(* -1 (/ (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow a 2)) (* 1/9 (/ 1 a)))) a)) 1) a))
1/9
(+ 1/9 (* 1/3 a))
(+ 1/9 (* a (+ 1/3 a)))
(+ 1/9 (* a (+ 1/3 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(* 1/3 a)
(* a (+ 1/3 a))
(* a (+ 1/3 a))
(* a (+ 1/3 a))
(pow a 2)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt a) 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)))
(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 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/8 binary64)))))))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 a (+.f64 #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 #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (*.f64 rand (+.f64 (*.f64 #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 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #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 a (*.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)) #s(literal -1 binary64)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 a (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64)) (+.f64 (/.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) #s(literal 1 binary64)))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 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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(* 1/3 (* rand (sqrt -1/3)))
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(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
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(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
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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 -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))))))
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(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)))))))
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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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-1/3
#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))))
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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 (* a (- (* 1/3 (/ 1 a)) 1)))
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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))))
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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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(- a 1/3)
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(- a 1/3)
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(- 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 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 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
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(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(* -1/3 rand)
(*.f64 rand #s(literal -1/3 binary64))
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(* a rand)
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(* a (+ rand (* -1/3 (/ rand a))))
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(* a (+ rand (* -1/3 (/ rand a))))
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(* a rand)
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(* rand (- a 1/3))
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(* rand (- a 1/3))
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(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
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(- 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
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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-3
#s(literal -3 binary64)
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(- (* a (- (* -27 a) 9)) 3)
(+.f64 (*.f64 a (+.f64 #s(literal -9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64))
(- (* a (- (* a (- (* -81 a) 27)) 9)) 3)
(+.f64 (*.f64 a (+.f64 #s(literal -9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal -81 binary64)))))) #s(literal -3 binary64))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* 1/3 (/ 1 a))) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)
(/ (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))) a)
(/ (+ 1 (+ (/ 1/9 (pow a 2)) (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))))) a)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 a a)) a))) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* 1/3 (/ 1 a))) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 a))) a)) 1) a))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow a 2)) (* 1/9 (/ 1 a)))) a)) 1) a))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) a) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 a a)))) a)) (-.f64 #s(literal 0 binary64) a))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 a))
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a))
(+ 1/9 (* a (+ 1/3 a)))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal 1/3 binary64) a)))
(+ 1/9 (* a (+ 1/3 a)))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal 1/3 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(* (pow a 2) (+ 1 (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a)))))
(*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(* 1/3 a)
(*.f64 #s(literal 1/3 binary64) a)
(* a (+ 1/3 a))
(*.f64 a (+.f64 #s(literal 1/3 binary64) a))
(* a (+ 1/3 a))
(*.f64 a (+.f64 #s(literal 1/3 binary64) a))
(* a (+ 1/3 a))
(*.f64 a (+.f64 #s(literal 1/3 binary64) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 (sqrt.f64 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))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 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 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 rand (sqrt.f64 a))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 rand (sqrt.f64 a))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 rand (sqrt.f64 a))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 rand (sqrt.f64 a))
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(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))

eval107.0ms (0.9%)

Compiler

Compiled 20770 to 2164 computations (89.6% saved)

prune151.0ms (1.2%)

Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New83711848
Fresh8614
Picked325
Done022
Total84821869
Accuracy
100.0%
Counts
869 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.6%
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
69.2%
(/.f64 (*.f64 rand a) rand)
▶41.0%
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
11.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
65.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
11.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
99.9%
(+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
98.7%
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
▶99.9%
(+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) rand) (+.f64 a #s(literal -1/3 binary64)))
▶97.2%
(+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
✓97.2%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
✓67.2%
(+.f64 #s(literal -1/3 binary64) a)
40.0%
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
▶25.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
✓99.8%
(*.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))))))
98.4%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
33.5%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
39.9%
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
34.8%
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
▶66.0%
a
✓1.5%
#s(literal -1/3 binary64)
Compiler

Compiled 414 to 295 computations (28.7% saved)

simplify198.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(/.f64 rand #s(literal 3 binary64))
✓cost-diff0
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
✓cost-diff0
(+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
✓cost-diff0
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓cost-diff0
(/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(/.f64 rand (+.f64 a #s(literal -1/3 binary64)))
✓cost-diff256
(/.f64 rand (/.f64 rand (+.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))) #s(literal 3 binary64))
✓cost-diff0
(*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) rand)
✓cost-diff0
(+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) rand) (+.f64 a #s(literal -1/3 binary64)))
Rules
3724×*-lowering-*.f32
3724×*-lowering-*.f64
1952×+-lowering-+.f64
1952×+-lowering-+.f32
1706×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024118
156116
2126111
3310111
41021111
53422111
08821111
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)) 3)
(sqrt (+ a -1/3))
(+ a -1/3)
a
-1/3
3
rand
a
(/ rand (/ rand (+ a -1/3)))
rand
(/ rand (+ a -1/3))
(+ a -1/3)
a
-1/3
(* (/ 1 (/ rand (- 1/9 (* a a)))) (/ rand (- -1/3 a)))
(/ 1 (/ rand (- 1/9 (* a a))))
1
(/ rand (- 1/9 (* a a)))
rand
(- 1/9 (* a a))
1/9
(* a a)
a
(/ rand (- -1/3 a))
(- -1/3 a)
-1/3
(+ a (* (/ rand 3) (sqrt a)))
a
(* (/ rand 3) (sqrt a))
(/ rand 3)
rand
3
(sqrt a)
Outputs
(+ (* (/ (sqrt (+ a -1/3)) 3) rand) (+ a -1/3))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)))))
(* (/ (sqrt (+ a -1/3)) 3) rand)
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)))
(/ (sqrt (+ a -1/3)) 3)
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ a -1/3)
(+.f64 a #s(literal -1/3 binary64))
a
-1/3
#s(literal -1/3 binary64)
3
#s(literal 3 binary64)
rand
a
(/ rand (/ rand (+ a -1/3)))
(+.f64 a #s(literal -1/3 binary64))
rand
(/ rand (+ a -1/3))
(/.f64 rand (+.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 (- 1/9 (* a a)))) (/ rand (- -1/3 a)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(/ 1 (/ rand (- 1/9 (* a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand)
1
#s(literal 1 binary64)
(/ rand (- 1/9 (* a a)))
(/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
rand
(- 1/9 (* a a))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
1/9
#s(literal 1/9 binary64)
(* a a)
(*.f64 a a)
a
(/ rand (- -1/3 a))
(/.f64 rand (-.f64 #s(literal -1/3 binary64) a))
(- -1/3 a)
(-.f64 #s(literal -1/3 binary64) a)
-1/3
#s(literal -1/3 binary64)
(+ a (* (/ rand 3) (sqrt a)))
(+.f64 a (/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64)))
a
(* (/ rand 3) (sqrt a))
(/.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))
(/ rand 3)
(/.f64 rand #s(literal 3 binary64))
rand
3
#s(literal 3 binary64)
(sqrt a)
(sqrt.f64 a)

localize201.0ms (1.6%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 rand #s(literal 3 binary64))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy100.0%
(+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
✓accuracy99.5%
(*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
✓accuracy100.0%
(/.f64 rand (-.f64 #s(literal -1/3 binary64) a))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
✓accuracy87.5%
(/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
✓accuracy52.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
✓accuracy100.0%
(+.f64 a #s(literal -1/3 binary64))
✓accuracy100.0%
(/.f64 rand (+.f64 a #s(literal -1/3 binary64)))
✓accuracy73.7%
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
✓accuracy100.0%
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓accuracy100.0%
(+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) rand) (+.f64 a #s(literal -1/3 binary64)))
✓accuracy99.6%
(*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) rand)
✓accuracy99.6%
(/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
Results
167.0ms256×0valid
Compiler

Compiled 133 to 25 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 17.0ms (32.5% of total)
...c/correct-round.rkt:119:19: 14.0ms (26.8% of total)
ival-mult: 7.0ms (13.4% of total)
ival-add: 6.0ms (11.5% of total)
ival-sub: 4.0ms (7.6% of total)
ival-sqrt: 4.0ms (7.6% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.1%)

Counts
16 → 312
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)) 3)>
#<alt (sqrt (+ a -1/3))>
#<alt (/ rand (/ rand (+ a -1/3)))>
#<alt (/ rand (+ a -1/3))>
#<alt (+ a -1/3)>
#<alt (* (/ 1 (/ rand (- 1/9 (* a a)))) (/ rand (- -1/3 a)))>
#<alt (/ 1 (/ rand (- 1/9 (* a a))))>
#<alt (/ rand (- 1/9 (* a a)))>
#<alt (- 1/9 (* a a))>
#<alt (+ a (* (/ rand 3) (sqrt a)))>
#<alt (* (/ rand 3) (sqrt a))>
#<alt (/ rand 3)>
#<alt (sqrt a)>
#<alt (/ rand (- -1/3 a))>
Outputs
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (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 (* 1/3 (sqrt -1/3))>
#<alt (+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))>
#<alt (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/3 (sqrt (/ 1 a)))))))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- 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 (/ rand (- a 1/3))>
#<alt (/ rand (- a 1/3))>
#<alt (/ rand (- a 1/3))>
#<alt (/ rand (- a 1/3))>
#<alt (/ rand (- a 1/3))>
#<alt (/ rand (- a 1/3))>
#<alt (/ rand (- a 1/3))>
#<alt (/ rand (- a 1/3))>
#<alt (/ rand (- a 1/3))>
#<alt (/ rand (- a 1/3))>
#<alt (/ rand (- a 1/3))>
#<alt (/ rand (- a 1/3))>
#<alt (* -3 rand)>
#<alt (+ (* -9 (* a rand)) (* -3 rand))>
#<alt (+ (* -3 rand) (* a (- (* -27 (* a rand)) (* 9 rand))))>
#<alt (+ (* -3 rand) (* a (- (* a (- (* -81 (* a rand)) (* 27 rand))) (* 9 rand))))>
#<alt (/ rand a)>
#<alt (/ (+ rand (* 1/3 (/ rand a))) a)>
#<alt (/ (- (+ rand (* 1/9 (/ rand (pow a 2)))) (* -1/3 (/ rand a))) a)>
#<alt (/ (- (+ rand (* 1/27 (/ rand (pow a 3)))) (+ (* -1/3 (/ rand a)) (* -1/9 (/ rand (pow a 2))))) a)>
#<alt (/ rand a)>
#<alt (* -1 (/ (+ (* -1 rand) (* -1/3 (/ rand a))) a))>
#<alt (* -1 (/ (+ (* -1 rand) (* -1 (/ (+ (* 1/9 (/ rand a)) (* 1/3 rand)) a))) a))>
#<alt (* -1 (/ (+ (* -1 rand) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 rand) (* -1/27 (/ rand a))) a)) (* 1/3 rand)) a))) a))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt (* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))>
#<alt -1/3>
#<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 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ (- 1/9 (pow a 2)) rand)>
#<alt (/ 1/9 rand)>
#<alt (+ (* -1 (/ (pow a 2) rand)) (* 1/9 (/ 1 rand)))>
#<alt (+ (* -1 (/ (pow a 2) rand)) (* 1/9 (/ 1 rand)))>
#<alt (+ (* -1 (/ (pow a 2) rand)) (* 1/9 (/ 1 rand)))>
#<alt (* -1 (/ (pow a 2) rand))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))>
#<alt (* -1 (/ (pow a 2) rand))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (/ rand (- 1/9 (pow a 2)))>
#<alt (* 9 rand)>
#<alt (+ (* 9 rand) (* 81 (* (pow a 2) rand)))>
#<alt (+ (* 9 rand) (* (pow a 2) (- (* 729 (* (pow a 2) rand)) (* -81 rand))))>
#<alt (+ (* 9 rand) (* (pow a 2) (- (* (pow a 2) (- (* 6561 (* (pow a 2) rand)) (* -729 rand))) (* -81 rand))))>
#<alt (* -1 (/ rand (pow a 2)))>
#<alt (/ (+ (* -1 rand) (* -1/9 (/ rand (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ (* -1 rand) (* -1/81 (/ rand (pow a 4)))) (* 1/9 (/ rand (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ (* -1 rand) (* -1/729 (/ rand (pow a 6)))) (+ (* 1/81 (/ rand (pow a 4))) (* 1/9 (/ rand (pow a 2))))) (pow a 2))>
#<alt (* -1 (/ rand (pow a 2)))>
#<alt (/ (+ (* -1 rand) (* -1/9 (/ rand (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ (* -1 rand) (* -1/81 (/ rand (pow a 4)))) (* 1/9 (/ rand (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ (* -1 rand) (* -1/729 (/ rand (pow a 6)))) (+ (* 1/81 (/ rand (pow a 4))) (* 1/9 (/ rand (pow a 2))))) (pow a 2))>
#<alt 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 (* 1/3 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -1 (/ rand (+ 1/3 a)))>
#<alt (* -3 rand)>
#<alt (+ (* -3 rand) (* 9 (* a rand)))>
#<alt (+ (* -3 rand) (* a (+ (* -27 (* a rand)) (* 9 rand))))>
#<alt (+ (* -3 rand) (* a (+ (* 9 rand) (* a (+ (* -27 rand) (* 81 (* a rand)))))))>
#<alt (* -1 (/ rand a))>
#<alt (/ (+ (* -1 rand) (* 1/3 (/ rand a))) a)>
#<alt (/ (+ (* -1 rand) (+ (* -1/9 (/ rand (pow a 2))) (* 1/3 (/ rand a)))) a)>
#<alt (/ (+ (* -1 rand) (+ (* -1/9 (/ rand (pow a 2))) (+ (* 1/27 (/ rand (pow a 3))) (* 1/3 (/ rand a))))) a)>
#<alt (* -1 (/ rand a))>
#<alt (* -1 (/ (+ rand (* -1/3 (/ rand a))) a))>
#<alt (* -1 (/ (+ rand (* -1 (/ (- (* -1/9 (/ rand a)) (* -1/3 rand)) a))) a))>
#<alt (* -1 (/ (+ rand (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ rand a)) (* -1/9 rand)) a)) (* -1/3 rand)) a))) a))>
Calls

78 calls:

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

rewrite537.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
4716×/-lowering-/.f32
4716×/-lowering-/.f64
3486×*-lowering-*.f32
3486×*-lowering-*.f64
1780×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02496
116588
2141582
0871782
Stop Event
1×iter limit
1×node limit
Counts
16 → 1168
Calls
Call 1
Inputs
(+ (* (/ (sqrt (+ a -1/3)) 3) rand) (+ a -1/3))
(* (/ (sqrt (+ a -1/3)) 3) rand)
(/ (sqrt (+ a -1/3)) 3)
(sqrt (+ a -1/3))
(/ rand (/ rand (+ a -1/3)))
(/ rand (+ a -1/3))
(+ a -1/3)
(* (/ 1 (/ rand (- 1/9 (* a a)))) (/ rand (- -1/3 a)))
(/ 1 (/ rand (- 1/9 (* a a))))
(/ rand (- 1/9 (* a a)))
(- 1/9 (* a a))
(+ a (* (/ rand 3) (sqrt a)))
(* (/ rand 3) (sqrt a))
(/ rand 3)
(sqrt a)
(/ rand (- -1/3 a))
Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal -1/3 binary64))
(+.f64 (+.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) a)
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 2 binary64)) #s(literal 9 binary64)) (-.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64)))))
(-.f64 (/.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 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 2 binary64)) #s(literal 9 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (-.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal -1/3 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 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64)))) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 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)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))) (+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) #s(literal 27 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 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 3 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a 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 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 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)) rand)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.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) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 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) (+.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal -1/3 binary64)))) (+.f64 (pow.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 2 binary64)) #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal -1/3 binary64)) (-.f64 (pow.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) #s(literal 27 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 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) #s(literal 27 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 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 3 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a 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 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 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)) rand))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (*.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 a)) (*.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (*.f64 #s(literal 3 binary64) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a 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 (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (neg.f64 (-.f64 (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 (pow.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (+.f64 a (/.f64 rand (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))) #s(literal -1/3 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (/.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand) #s(literal 2 binary64)) #s(literal 9 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (/.f64 #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) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
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(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64)))) (neg.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64)))
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(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal -3 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal -3 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) rand))) (*.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal -3 binary64)))
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(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) #s(literal -3 binary64)) (*.f64 (neg.f64 (+.f64 a #s(literal 1/3 binary64))) (neg.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) rand)))) (*.f64 (neg.f64 (+.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) #s(literal -3 binary64)) (*.f64 (neg.f64 (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (neg.f64 (+.f64 a #s(literal 1/3 binary64))) #s(literal -3 binary64)))
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(-.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a 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 #s(literal -1/3 binary64) a)))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 rand (neg.f64 (*.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) rand) (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand)) (/.f64 (/.f64 (*.f64 a a) rand) (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand)))
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(/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (+.f64 a #s(literal 1/3 binary64))) (*.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
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(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
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(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
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(/.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (neg.f64 (*.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand))
(/.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
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(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) rand)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
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(/.f64 (*.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (*.f64 rand (+.f64 a #s(literal 1/3 binary64))))
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(/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) rand)
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand))) (/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64)))))
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(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) rand))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
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(*.f64 (/.f64 (/.f64 rand (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) rand) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 (/.f64 rand (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 rand (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) rand)) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (/.f64 rand (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) rand))
(*.f64 (/.f64 (/.f64 rand (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (/.f64 rand (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
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(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) rand) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (/.f64 (pow.f64 (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -1/2 binary64)) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (pow.f64 (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) rand)) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (/.f64 rand (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) rand) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) rand) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 rand (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 rand (+.f64 a #s(literal -1/3 binary64)))
(/.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
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(/.f64 (-.f64 #s(literal 0 binary64) rand) (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
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(pow.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))) rand)
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (/.f64 rand (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
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(+.f64 a #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) a)
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal -1/3 binary64) (*.f64 a #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) a) #s(literal -1/3 binary64))
(+.f64 (*.f64 a #s(literal 1 binary64)) #s(literal -1/3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)))
(-.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a 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 #s(literal -1/3 binary64) a)))
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal -1/3 binary64) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))) (/.f64 rand (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 rand (neg.f64 (*.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) rand) (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand)) (/.f64 (/.f64 (*.f64 a a) rand) (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fma.f64 a #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) a #s(literal -1/3 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64))
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
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(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
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(*.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))))
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(*.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (+.f64 a #s(literal 1/3 binary64))))
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(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal 1/3 binary64))))
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(*.f64 (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) rand))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) rand) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.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 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
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(*.f64 (/.f64 (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 a #s(literal -1/3 binary64)))
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))) rand))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 rand (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.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))))))
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(*.f64 (/.f64 (/.f64 rand (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
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(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 1 binary64)))
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 rand (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))) (+.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 0 binary64) rand)) (/.f64 rand (/.f64 #s(literal 1 binary64) (-.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 rand (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) (/.f64 rand (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
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(*.f64 (/.f64 (/.f64 rand (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
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(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 1 binary64)))
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(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))))
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(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))))
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(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal 1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) rand) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
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(exp.f64 (*.f64 (log.f64 (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/9 binary64) rand) (/.f64 (*.f64 a a) rand))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) rand)) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) rand)))
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(-.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))) rand) (/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a 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))))) rand))
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(-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
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(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
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(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) rand)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal 0 binary64) rand))
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(/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand)))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) rand)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) rand))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(pow.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) rand) #s(literal -1 binary64))
(*.f64 rand (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) rand) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 rand (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 rand (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))))

simplify312.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
4154×*-lowering-*.f32
4154×*-lowering-*.f64
2288×+-lowering-+.f64
2288×+-lowering-+.f32
1406×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04563046
114812691
252392655
080962655
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
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))))
(* 1/3 (sqrt -1/3))
(+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))
(* 1/3 (sqrt a))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/3 (sqrt (/ 1 a)))))))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- 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)))
(/ rand (- a 1/3))
(/ rand (- a 1/3))
(/ rand (- a 1/3))
(/ rand (- a 1/3))
(/ rand (- a 1/3))
(/ rand (- a 1/3))
(/ rand (- a 1/3))
(/ rand (- a 1/3))
(/ rand (- a 1/3))
(/ rand (- a 1/3))
(/ rand (- a 1/3))
(/ rand (- a 1/3))
(* -3 rand)
(+ (* -9 (* a rand)) (* -3 rand))
(+ (* -3 rand) (* a (- (* -27 (* a rand)) (* 9 rand))))
(+ (* -3 rand) (* a (- (* a (- (* -81 (* a rand)) (* 27 rand))) (* 9 rand))))
(/ rand a)
(/ (+ rand (* 1/3 (/ rand a))) a)
(/ (- (+ rand (* 1/9 (/ rand (pow a 2)))) (* -1/3 (/ rand a))) a)
(/ (- (+ rand (* 1/27 (/ rand (pow a 3)))) (+ (* -1/3 (/ rand a)) (* -1/9 (/ rand (pow a 2))))) a)
(/ rand a)
(* -1 (/ (+ (* -1 rand) (* -1/3 (/ rand a))) a))
(* -1 (/ (+ (* -1 rand) (* -1 (/ (+ (* 1/9 (/ rand a)) (* 1/3 rand)) a))) a))
(* -1 (/ (+ (* -1 rand) (* -1 (/ (+ (* -1 (/ (+ (* -1/9 rand) (* -1/27 (/ rand a))) a)) (* 1/3 rand)) a))) a))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
(* -1 (/ (- 1/9 (pow a 2)) (+ 1/3 a)))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ (- 1/9 (pow a 2)) rand)
(/ 1/9 rand)
(+ (* -1 (/ (pow a 2) rand)) (* 1/9 (/ 1 rand)))
(+ (* -1 (/ (pow a 2) rand)) (* 1/9 (/ 1 rand)))
(+ (* -1 (/ (pow a 2) rand)) (* 1/9 (/ 1 rand)))
(* -1 (/ (pow a 2) rand))
(* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))
(* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))
(* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))
(* -1 (/ (pow a 2) rand))
(* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))
(* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))
(* (pow a 2) (- (* 1/9 (/ 1 (* (pow a 2) rand))) (/ 1 rand)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(/ rand (- 1/9 (pow a 2)))
(* 9 rand)
(+ (* 9 rand) (* 81 (* (pow a 2) rand)))
(+ (* 9 rand) (* (pow a 2) (- (* 729 (* (pow a 2) rand)) (* -81 rand))))
(+ (* 9 rand) (* (pow a 2) (- (* (pow a 2) (- (* 6561 (* (pow a 2) rand)) (* -729 rand))) (* -81 rand))))
(* -1 (/ rand (pow a 2)))
(/ (+ (* -1 rand) (* -1/9 (/ rand (pow a 2)))) (pow a 2))
(/ (- (+ (* -1 rand) (* -1/81 (/ rand (pow a 4)))) (* 1/9 (/ rand (pow a 2)))) (pow a 2))
(/ (- (+ (* -1 rand) (* -1/729 (/ rand (pow a 6)))) (+ (* 1/81 (/ rand (pow a 4))) (* 1/9 (/ rand (pow a 2))))) (pow a 2))
(* -1 (/ rand (pow a 2)))
(/ (+ (* -1 rand) (* -1/9 (/ rand (pow a 2)))) (pow a 2))
(/ (- (+ (* -1 rand) (* -1/81 (/ rand (pow a 4)))) (* 1/9 (/ rand (pow a 2)))) (pow a 2))
(/ (- (+ (* -1 rand) (* -1/729 (/ rand (pow a 6)))) (+ (* 1/81 (/ rand (pow a 4))) (* 1/9 (/ rand (pow a 2))))) (pow a 2))
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))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -1 (/ rand (+ 1/3 a)))
(* -3 rand)
(+ (* -3 rand) (* 9 (* a rand)))
(+ (* -3 rand) (* a (+ (* -27 (* a rand)) (* 9 rand))))
(+ (* -3 rand) (* a (+ (* 9 rand) (* a (+ (* -27 rand) (* 81 (* a rand)))))))
(* -1 (/ rand a))
(/ (+ (* -1 rand) (* 1/3 (/ rand a))) a)
(/ (+ (* -1 rand) (+ (* -1/9 (/ rand (pow a 2))) (* 1/3 (/ rand a)))) a)
(/ (+ (* -1 rand) (+ (* -1/9 (/ rand (pow a 2))) (+ (* 1/27 (/ rand (pow a 3))) (* 1/3 (/ rand a))))) a)
(* -1 (/ rand a))
(* -1 (/ (+ rand (* -1/3 (/ rand a))) a))
(* -1 (/ (+ rand (* -1 (/ (- (* -1/9 (/ rand a)) (* -1/3 rand)) a))) a))
(* -1 (/ (+ rand (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ rand a)) (* -1/9 rand)) a)) (* -1/3 rand)) a))) a))
Outputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 #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 (*.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 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 rand a) (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 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))))))) (+.f64 #s(literal -1/3 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #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 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (*.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 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -1/18 binary64) rand)) (*.f64 rand (+.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 a (+.f64 #s(literal 1 binary64) (neg.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) (/.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)))))
(- 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 (*.f64 a #s(literal 1/6 binary64)) rand) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 rand a) (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #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 a (*.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))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -1/18 binary64) rand)) (*.f64 rand (+.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 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))) (*.f64 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* -1/3 (* (sqrt a) (* rand (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 (-.f64 #s(literal 0 binary64) rand) (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 1/216 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -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 (-.f64 #s(literal 0 binary64) rand) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.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))
(* 1/3 (sqrt -1/3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 a #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (-.f64 (/.f64 (*.f64 a #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(*.f64 a (+.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)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))
(*.f64 a (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 #s(literal 1/3 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)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/3 (sqrt (/ 1 a)))))))
(*.f64 a (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 #s(literal 1/3 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 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))))))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 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))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/216 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a 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 -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/216 binary64)))) (-.f64 #s(literal 0 binary64) 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 (/.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))))))
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(/.f64 (+.f64 (/.f64 (*.f64 rand #s(literal -1/81 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 (/.f64 (*.f64 rand #s(literal -1/9 binary64)) (*.f64 a a)) rand)) (*.f64 a a))
(/ (- (+ (* -1 rand) (* -1/729 (/ rand (pow a 6)))) (+ (* 1/81 (/ rand (pow a 4))) (* 1/9 (/ rand (pow a 2))))) (pow a 2))
(/.f64 (+.f64 (/.f64 (*.f64 rand #s(literal -1/729 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 rand #s(literal -1/81 binary64)) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 (/.f64 (*.f64 rand #s(literal -1/9 binary64)) (*.f64 a a)) rand))) (*.f64 a a))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1 (pow a 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(+ 1/9 (* -1 (pow a 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(+ 1/9 (* -1 (pow a 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(* -1 (pow a 2))
(-.f64 #s(literal 0 binary64) (*.f64 a a))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(*.f64 (*.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))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))
(* -1 (/ rand (+ 1/3 a)))
(/.f64 rand (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))
(* -3 rand)
(*.f64 rand #s(literal -3 binary64))
(+ (* -3 rand) (* 9 (* a rand)))
(*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(+ (* -3 rand) (* a (+ (* -27 (* a rand)) (* 9 rand))))
(+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64)))))
(+ (* -3 rand) (* a (+ (* 9 rand) (* a (+ (* -27 rand) (* 81 (* a rand)))))))
(+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64)))))
(* -1 (/ rand a))
(-.f64 #s(literal 0 binary64) (/.f64 rand a))
(/ (+ (* -1 rand) (* 1/3 (/ rand a))) a)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) a) rand) a)
(/ (+ (* -1 rand) (+ (* -1/9 (/ rand (pow a 2))) (* 1/3 (/ rand a)))) a)
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 (/.f64 rand a) #s(literal -1/9 binary64))) a) rand) a)
(/ (+ (* -1 rand) (+ (* -1/9 (/ rand (pow a 2))) (+ (* 1/27 (/ rand (pow a 3))) (* 1/3 (/ rand a))))) a)
(/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 (/.f64 rand a) #s(literal -1/9 binary64))) a) rand) (/.f64 (*.f64 rand #s(literal 1/27 binary64)) (*.f64 a (*.f64 a a)))) a)
(* -1 (/ rand a))
(-.f64 #s(literal 0 binary64) (/.f64 rand a))
(* -1 (/ (+ rand (* -1/3 (/ rand a))) a))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) rand) a) rand) a)
(* -1 (/ (+ rand (* -1 (/ (- (* -1/9 (/ rand a)) (* -1/3 rand)) a))) a))
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) rand) (*.f64 (/.f64 rand a) #s(literal -1/9 binary64))) a) rand) a)
(* -1 (/ (+ rand (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ rand a)) (* -1/9 rand)) a)) (* -1/3 rand)) a))) a))
(/.f64 (+.f64 rand (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 rand a) #s(literal -1/27 binary64)) (*.f64 rand #s(literal 1/9 binary64))) a) (*.f64 rand #s(literal -1/3 binary64))) a)) (-.f64 #s(literal 0 binary64) a))

eval399.0ms (3.2%)

Compiler

Compiled 43360 to 4353 computations (90% saved)

prune306.0ms (2.4%)

Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New1930161946
Fresh11112
Picked235
Done134
Total1934331967
Accuracy
100.0%
Counts
1967 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.6%
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
69.2%
(/.f64 (*.f64 rand a) rand)
30.5%
(/.f64 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
39.8%
(/.f64 rand (/.f64 rand a))
27.3%
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
26.7%
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
1.5%
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
65.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
11.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
99.9%
(+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
98.7%
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
97.2%
(+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))
✓97.2%
(+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
97.2%
(+.f64 a (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))))
✓67.2%
(+.f64 #s(literal -1/3 binary64) a)
27.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
40.0%
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
✓25.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
7.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64))))))
11.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
20.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
25.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
7.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
10.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
39.9%
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
✓99.8%
(*.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))))))
98.4%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
33.5%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
39.9%
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
34.8%
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
33.5%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
✓66.0%
a
✓1.5%
#s(literal -1/3 binary64)
Compiler

Compiled 1102 to 492 computations (55.4% saved)

regimes70.0ms (0.6%)

Counts
56 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 a (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
(+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(+.f64 a (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
(+.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1/3 binary64)))
(+.f64 a (+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) rand) (+.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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))
(*.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 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 #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand))) (+.f64 a #s(literal -1/3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.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))) #s(literal 3 binary64)) rand) (+.f64 a #s(literal -1/3 binary64)))
Calls

4 calls:

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

Compiled 35 to 23 computations (34.3% saved)

regimes30.0ms (0.2%)

Counts
46 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 a (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
(+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(+.f64 a (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
(+.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1/3 binary64)))
(+.f64 a (+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
Outputs
(+.f64 a (+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
Calls

2 calls:

14.0ms
a
12.0ms
rand
Results
AccuracySegmentsBranch
99.9%1a
99.9%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes59.0ms (0.5%)

Counts
45 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 a (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
(+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(+.f64 a (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
(+.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1/3 binary64)))
Outputs
(+.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1/3 binary64)))
Calls

2 calls:

14.0ms
rand
12.0ms
a
Results
AccuracySegmentsBranch
99.8%1a
99.8%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts
44 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 a (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
(+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(+.f64 a (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
Outputs
(+.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)) a)
Calls

2 calls:

12.0ms
a
12.0ms
rand
Results
AccuracySegmentsBranch
98.7%1a
98.7%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes57.0ms (0.4%)

Counts
40 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 a (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
(+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(+.f64 a (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
Outputs
(+.f64 a (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
Calls

2 calls:

42.0ms
rand
11.0ms
a
Results
AccuracySegmentsBranch
98.6%1a
98.6%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.2%)

Counts
39 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 a (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(+.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
(+.f64 a (/.f64 (sqrt.f64 a) (/.f64 #s(literal 3 binary64) rand)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
Outputs
(+.f64 a (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))))
Calls

2 calls:

14.0ms
rand
13.0ms
a
Results
AccuracySegmentsBranch
97.2%1a
97.2%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts
35 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+.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:

13.0ms
rand
10.0ms
a
Results
AccuracySegmentsBranch
97.2%1a
97.2%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.2%)

Counts
34 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
Outputs
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
Calls

2 calls:

11.0ms
a
10.0ms
rand
Results
AccuracySegmentsBranch
95.7%3rand
70.4%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (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 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
Outputs
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
Calls

1 calls:

9.0ms
rand
Results
AccuracySegmentsBranch
95.7%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
32 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
Outputs
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
Calls

1 calls:

10.0ms
rand
Results
AccuracySegmentsBranch
94.6%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
31 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
Outputs
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
Calls

1 calls:

11.0ms
rand
Results
AccuracySegmentsBranch
94.6%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
30 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.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 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 a a) (*.f64 rand (+.f64 (*.f64 a #s(literal 81 binary64)) #s(literal -27 binary64))))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
Calls

1 calls:

9.0ms
rand
Results
AccuracySegmentsBranch
80.6%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
27 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) rand))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))))
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 (*.f64 rand a) rand)
Calls

1 calls:

9.0ms
rand
Results
AccuracySegmentsBranch
80.6%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
21 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
Outputs
(/.f64 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 (*.f64 rand a) rand)
Calls

1 calls:

6.0ms
rand
Results
AccuracySegmentsBranch
79.0%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
20 → 2
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
(/.f64 (*.f64 rand a) rand)
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(/.f64 rand (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
(*.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal -1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (*.f64 (/.f64 rand (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) rand) (*.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (+.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)))))
Outputs
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 (*.f64 rand a) rand)
Calls

1 calls:

7.0ms
rand
Results
AccuracySegmentsBranch
73.5%2rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 rand (*.f64 rand #s(literal -3 binary64)))
(/.f64 rand (/.f64 rand a))
Outputs
(+.f64 #s(literal -1/3 binary64) a)
Calls

2 calls:

3.0ms
rand
3.0ms
a
Results
AccuracySegmentsBranch
67.2%1a
67.2%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

2 calls:

2.0ms
a
2.0ms
rand
Results
AccuracySegmentsBranch
66.0%1rand
66.0%1a
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
rand
1.0ms
a
Results
AccuracySegmentsBranch
1.5%1rand
1.5%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch49.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
4.211096334832192e+58
3.1050664424030953e+60
19.0ms
-7.86304221664936e+89
-2.9954814574657673e+84
Results
36.0ms256×0valid
Compiler

Compiled 299 to 241 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (34.6% of total)
ival-div: 4.0ms (27.7% of total)
ival-sqrt: 2.0ms (13.8% of total)
ival-sub: 1.0ms (6.9% of total)
ival-add: 1.0ms (6.9% of total)
const: 1.0ms (6.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
4.211096334832192e+58
3.1050664424030953e+60
26.0ms
-7.86304221664936e+89
-2.9954814574657673e+84
Results
31.0ms256×0valid
Compiler

Compiled 299 to 241 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sqrt: 10.0ms (45.4% of total)
ival-mult: 5.0ms (22.7% of total)
ival-div: 4.0ms (18.1% of total)
ival-sub: 1.0ms (4.5% of total)
ival-add: 1.0ms (4.5% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
4.211096334832192e+58
3.1050664424030953e+60
20.0ms
-7.86304221664936e+89
-2.9954814574657673e+84
Results
24.0ms256×0valid
Compiler

Compiled 267 to 209 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (34.5% of total)
ival-div: 4.0ms (27.6% of total)
ival-sqrt: 2.0ms (13.8% of total)
ival-sub: 1.0ms (6.9% of total)
ival-add: 1.0ms (6.9% of total)
const: 1.0ms (6.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch70.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
4.211096334832192e+58
3.1050664424030953e+60
51.0ms
-7.86304221664936e+89
-2.9954814574657673e+84
Results
24.0ms256×0valid
Compiler

Compiled 267 to 209 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (34.1% of total)
ival-div: 4.0ms (27.3% of total)
ival-sqrt: 2.0ms (13.6% of total)
ival-sub: 1.0ms (6.8% of total)
ival-add: 1.0ms (6.8% of total)
const: 1.0ms (6.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
3.55042782476416e+151
7.639236646219111e+154
16.0ms
-3.53868393676574e+123
-1.1055598322713138e+121
Results
31.0ms256×0valid
Compiler

Compiled 491 to 369 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 12.0ms (56.4% of total)
ival-div: 4.0ms (18.8% of total)
ival-sqrt: 2.0ms (9.4% of total)
ival-sub: 1.0ms (4.7% of total)
ival-add: 1.0ms (4.7% of total)
const: 1.0ms (4.7% 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
17.0ms
3.55042782476416e+151
7.639236646219111e+154
16.0ms
-3.53868393676574e+123
-1.1055598322713138e+121
Results
23.0ms256×0valid
Compiler

Compiled 347 to 257 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (34.6% of total)
ival-div: 4.0ms (27.7% of total)
ival-sqrt: 2.0ms (13.9% of total)
ival-sub: 1.0ms (6.9% of total)
ival-add: 1.0ms (6.9% of total)
const: 1.0ms (6.9% 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
3.55042782476416e+151
7.639236646219111e+154
19.0ms
-6.938866983206951e+127
-3.53868393676574e+123
Results
27.0ms256×0valid
Compiler

Compiled 339 to 249 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 5.0ms (28.3% of total)
ival-sqrt: 5.0ms (28.3% of total)
ival-div: 4.0ms (22.7% of total)
ival-sub: 1.0ms (5.7% of total)
ival-add: 1.0ms (5.7% of total)
const: 1.0ms (5.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
3.55042782476416e+151
7.639236646219111e+154
Results
12.0ms128×0valid
Compiler

Compiled 139 to 97 computations (30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (27.9% of total)
ival-mult: 2.0ms (27.9% of total)
ival-sub: 1.0ms (13.9% of total)
ival-add: 1.0ms (13.9% of total)
ival-sqrt: 1.0ms (13.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify84.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
510×distribute-lft-neg-in_binary64
298×cancel-sign-sub_binary64
282×neg-mul-1_binary64
268×neg-sub0_binary64
196×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
099285
1165285
2194283
3240283
4350283
5520283
6759283
71051283
81296283
91469283
101546283
111558283
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) rand) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 a (+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #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 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+.f64 a (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -880000000000000012875011802993888267253637829320896452165177492709420800541010430001152 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (if (<=.f64 rand #s(literal 199999999999999994337576099120928401699872656732354315812864 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))))
(if (<=.f64 rand #s(literal -30499999999999999065886935177470869957635138674466888817775834574601478077155175825408 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))) (if (<=.f64 rand #s(literal 3100000000000000057187273326823440646330194951565841683972096 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
(if (<=.f64 rand #s(literal -1850000000000000013263293483167387532425067802995560954763212011923350163539575751835648 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 3100000000000000057187273326823440646330194951565841683972096 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 2750000000000000039220583655198537016435769961473769748824064 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -3499999999999999995376849771596742216749213691249007626362371282703715477717282461654064990776790569137245026772351696502784 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))) (if (<=.f64 rand #s(literal 260000000000000007373513317859034532887515937743959970215605982324473053958289817644705447767982196055550397803186375947510295712639209896628904800550912 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))))
(if (<=.f64 rand #s(literal -3499999999999999995376849771596742216749213691249007626362371282703715477717282461654064990776790569137245026772351696502784 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))) (if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand a) rand)))
(if (<=.f64 rand #s(literal -67999999999999995492234691281617285232744651926839294386042098631849892499420414521260628005211361981810987558629364171408408576 binary64)) (/.f64 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand a) rand)))
(if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand a) rand))
(+.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))) #s(literal 3 binary64)) rand) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 a (+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))))
(+.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1/3 binary64)))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(+.f64 (/.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 a (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(+.f64 a (*.f64 rand (/.f64 (sqrt.f64 a) #s(literal 3 binary64))))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -880000000000000012875011802993888267253637829320896452165177492709420800541010430001152 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (if (<=.f64 rand #s(literal 199999999999999994337576099120928401699872656732354315812864 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))))
(if (<=.f64 rand #s(literal -880000000000000012875011802993888267253637829320896452165177492709420800541010430001152 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) (if (<=.f64 rand #s(literal 199999999999999994337576099120928401699872656732354315812864 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))))
(if (<=.f64 rand #s(literal -30499999999999999065886935177470869957635138674466888817775834574601478077155175825408 binary64)) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))) (if (<=.f64 rand #s(literal 3100000000000000057187273326823440646330194951565841683972096 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
(if (<=.f64 rand #s(literal -30499999999999999065886935177470869957635138674466888817775834574601478077155175825408 binary64)) (*.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) (if (<=.f64 rand #s(literal 3100000000000000057187273326823440646330194951565841683972096 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))))
(if (<=.f64 rand #s(literal -1850000000000000013263293483167387532425067802995560954763212011923350163539575751835648 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 3100000000000000057187273326823440646330194951565841683972096 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -1850000000000000013263293483167387532425067802995560954763212011923350163539575751835648 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a)) (if (<=.f64 rand #s(literal 3100000000000000057187273326823440646330194951565841683972096 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 2750000000000000039220583655198537016435769961473769748824064 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -4500000000000000259087026248172714687538357589147660435384799763034907183680845237977088 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 2750000000000000039220583655198537016435769961473769748824064 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -3499999999999999995376849771596742216749213691249007626362371282703715477717282461654064990776790569137245026772351696502784 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))) (if (<=.f64 rand #s(literal 260000000000000007373513317859034532887515937743959970215605982324473053958289817644705447767982196055550397803186375947510295712639209896628904800550912 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))))
(if (<=.f64 rand #s(literal -3499999999999999995376849771596742216749213691249007626362371282703715477717282461654064990776790569137245026772351696502784 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 rand (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))) (if (<=.f64 rand #s(literal 260000000000000007373513317859034532887515937743959970215605982324473053958289817644705447767982196055550397803186375947510295712639209896628904800550912 binary64)) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 rand (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (+.f64 (*.f64 rand #s(literal -3 binary64)) (*.f64 a (*.f64 rand (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))))))))
(if (<=.f64 rand #s(literal -3499999999999999995376849771596742216749213691249007626362371282703715477717282461654064990776790569137245026772351696502784 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))) (if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand a) rand)))
(if (<=.f64 rand #s(literal -3499999999999999995376849771596742216749213691249007626362371282703715477717282461654064990776790569137245026772351696502784 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 rand (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (*.f64 rand (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))) (if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 a rand) rand)))
(if (<=.f64 rand #s(literal -67999999999999995492234691281617285232744651926839294386042098631849892499420414521260628005211361981810987558629364171408408576 binary64)) (/.f64 (neg.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand a) rand)))
(if (<=.f64 rand #s(literal -67999999999999995492234691281617285232744651926839294386042098631849892499420414521260628005211361981810987558629364171408408576 binary64)) (/.f64 (/.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (/.f64 rand (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 a rand) rand)))
(if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 rand a) rand))
(if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 a rand) rand))
(+.f64 #s(literal -1/3 binary64) a)
(+.f64 a #s(literal -1/3 binary64))
a
#s(literal -1/3 binary64)

soundness3.4s (26.8%)

Rules
4778×*-lowering-*.f32
4778×*-lowering-*.f64
4734×*-lowering-*.f32
4734×*-lowering-*.f64
4716×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04563046
114812691
252392655
080962655
03062194
19771981
235701954
081531954
028141
1185137
22080137
08300137
01414
13613
28812
323112
456012
5100712
6162212
7282512
8740612
9783312
10798812
0811212
02496
116588
2141582
0871782
05253380
118152893
271102893
082362893
05985365
120734722
083754722
027101
116693
2151693
0859693
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
1×iter limit
1×node limit
Compiler

Compiled 1231 to 787 computations (36.1% saved)

preprocess79.0ms (0.6%)

Compiler

Compiled 652 to 214 computations (67.2% saved)

end0.0ms (0%)

Profiling

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