Octave 3.8, oct_fill_randg

Time bar (total: 12.2s)

analyze23.0ms (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: 11.0ms
ival-mult: 5.0ms (46.5% of total)
ival-div: 2.0ms (18.6% of total)
ival-sub: 1.0ms (9.3% of total)
ival-add: 1.0ms (9.3% of total)
ival-sqrt: 1.0ms (9.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.5s (12.7%)

Results
1.2s8256×0valid
41.0ms489×0invalid
Precisions
Click to see histograms. Total time spent on operations: 632.0ms
ival-mult: 216.0ms (34.2% of total)
ival-div: 183.0ms (29% of total)
ival-sub: 76.0ms (12% of total)
ival-sqrt: 75.0ms (11.9% of total)
ival-add: 58.0ms (9.2% of total)
const: 21.0ms (3.3% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess314.0ms (2.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03592
111084
239874
3155272
4592972
01414
13313
28512
322812
455312
599912
6161312
7281812
8739612
9783512
10799212
0811912
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
Outputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
Call 2
Inputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand)))
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand))))
(neg (* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand))))
(neg (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand)))))
(* (- rand (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- rand (/ 1 3))))) a)))
Outputs
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(* (+ a -1/3) (fma (rsqrt (fma a 9 -3)) rand 1))
(* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand)))
(* (+ a 1/3) (fnmsub rand (rsqrt (fma a -9 -3)) 1))
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand))))
(* (+ a -1/3) (fnmsub (rsqrt (fma a 9 -3)) rand -1))
(neg (* (- (neg a) (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- (neg a) (/ 1 3))))) rand))))
(* (- -1/3 a) (fnmsub rand (rsqrt (fma a -9 -3)) 1))
(neg (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (neg rand)))))
(* (+ a -1/3) (fmsub (rsqrt (fma a 9 -3)) rand 1))
(* (- rand (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- rand (/ 1 3))))) a)))
(* (+ rand -1/3) (fma a (rsqrt (fma 9 rand -3)) 1))

explain175.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
00-0-(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
00-0-(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
00-0-#s(literal 9 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-rand
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))
00-0-a
Results
96.0ms482×0valid
11.0ms14×2valid
4.0ms4×5exit
4.0ms12×1valid
Compiler

Compiled 196 to 41 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 30.0ms (53.6% of total)
ival-div: 9.0ms (16.1% of total)
ival-sqrt: 6.0ms (10.7% of total)
ival-sub: 3.0ms (5.4% of total)
ival-add: 3.0ms (5.4% of total)
backward-pass: 2.0ms (3.6% of total)
const: 1.0ms (1.8% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 11 computations (31.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
▶99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
Compiler

Compiled 38 to 24 computations (36.8% saved)

simplify188.0ms (1.5%)

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

Useful iterations: 2 (0.0ms)

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

localize131.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (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)
✓accuracy99.4%
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
✓accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))
✓accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
✓accuracy99.7%
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))
✓accuracy99.4%
(sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64)))
Results
87.0ms241×0valid
7.0ms7×2valid
4.0ms2×5exit
3.0ms6×1valid
Compiler

Compiled 138 to 21 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
...c/correct-round.rkt:119:19: 18.0ms (32.1% of total)
ival-sqrt: 14.0ms (25% of total)
ival-mult: 9.0ms (16.1% of total)
ival-div: 6.0ms (10.7% of total)
ival-add: 6.0ms (10.7% of total)
backward-pass: 2.0ms (3.6% of total)
const: 1.0ms (1.8% of total)
ival-sub: 1.0ms (1.8% of total)

series20.0ms (0.2%)

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

48 calls:

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

rewrite326.0ms (2.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02184
112281
286272
0906572
Stop Event
1×iter limit
1×node limit
Counts
12 → 649
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))
(+ a -1/3)
(+ 1 (/ rand (sqrt (* (+ a -1/3) 9))))
(/ rand (sqrt (* (+ a -1/3) 9)))
(/ 1 3)
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(- a (/ 1 3))
(sqrt (* (+ a -1/3) 9))
(* (+ a -1/3) 9)
(sqrt (* 9 (- a (/ 1 3))))
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))))
(+.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) a)) (+.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) #s(literal -1/3 binary64))) (+.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) a)) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) a))
(+.f64 (/.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) (+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 (/.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand))) (+.f64 a #s(literal -1/3 binary64))))
(+.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 -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (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 #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) a))) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) #s(literal -1/3 binary64)))) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 rand #s(literal 3 binary64)) a)))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 a (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 3 binary64) rand)))) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #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 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))) a) #s(literal -1/3 binary64))
(+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 a #s(literal -1/3 binary64)))))))
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(/.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
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(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 9 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a)) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 a #s(literal 9 binary64)) (*.f64 a #s(literal 9 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)) #s(literal -27 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal -27 binary64)) (+.f64 (*.f64 (*.f64 a #s(literal 9 binary64)) (*.f64 a #s(literal 9 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a))) (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 a #s(literal 9 binary64)) (*.f64 a #s(literal 9 binary64)))) (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) a) (*.f64 #s(literal 9 binary64) a)) #s(literal 9 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 a #s(literal 9 binary64)) (*.f64 a #s(literal 9 binary64))) #s(literal 9 binary64)) (-.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))
(*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 #s(literal 9 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 9 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))
(*.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))))
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) #s(literal 9 binary64)))
(*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 9 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 9 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 9 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal -3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))) (sqrt.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) #s(literal 9 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) #s(literal 9 binary64))) (sqrt.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) #s(literal 9 binary64))) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 #s(literal 3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)))
(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))
(/.f64 (neg.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -3 binary64))
(pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal -1/4 binary64)))

simplify301.0ms (2.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03563530
111863029
244242972
081432972
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
(+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 3 (sqrt -1/3))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
-3
(- (* 9 a) 3)
(- (* 9 a) 3)
(- (* 9 a) 3)
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* 3 (sqrt -1/3))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(* 1/3 (sqrt -3))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(* 1/3 (sqrt (/ 1 a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
Outputs
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64))) (*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) a))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) a) (+.f64 #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))))))))))
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-1/3
#s(literal -1/3 binary64)
(- a 1/3)
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(- a 1/3)
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(- a 1/3)
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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
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
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(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
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(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt -3)))
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(* 1/3 (* (sqrt (/ 1 a)) rand))
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(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
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(* 1/3 (* rand (sqrt -3)))
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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)))))
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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 (+ 1 (* 1/3 (* rand (sqrt -3)))))
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(- a 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* 3 (sqrt -1/3))
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 a #s(literal 3/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -9 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/72 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64)))))))
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))
(- (* 9 a) 3)
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))
(- (* 9 a) 3)
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* 3 (sqrt -1/3))
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 a #s(literal 3/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -9 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/72 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64)))))))
(* 1/3 (sqrt -3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64)))))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -27/8 binary64) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -135/16 binary64) a) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (+.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(+.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))) #s(literal 1/6 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/18 binary64)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (*.f64 a (*.f64 a a))))

eval116.0ms (1%)

Compiler

Compiled 26803 to 2670 computations (90% saved)

prune141.0ms (1.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New94911960
Fresh000
Picked112
Done000
Total95012962
Accuracy
100.0%
Counts
962 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
88.4%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal -3 binary64)))))
▶99.8%
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
▶66.3%
(+.f64 #s(literal -1/3 binary64) a)
60.6%
(*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.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)))))))
▶99.8%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
▶98.6%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
✓99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
98.6%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
99.8%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))))
34.5%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
▶98.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
Compiler

Compiled 364 to 259 computations (28.8% saved)

simplify119.0ms (1%)

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 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
✓cost-diff0
(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
✓cost-diff0
(+.f64 a #s(literal -1/3 binary64))
✓cost-diff0
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
✓cost-diff0
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
✓cost-diff0
(+.f64 #s(literal -1/3 binary64) a)
✓cost-diff0
(+.f64 #s(literal -1/3 binary64) a)
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓cost-diff0
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
Rules
2290×fma-define
1708×fma-lowering-fma.f32
1708×fma-lowering-fma.f64
908×*-lowering-*.f32
908×*-lowering-*.f64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
027164
172162
2189162
3600162
41276162
52409162
62719162
73146162
83230162
93284162
103354158
113740158
123743158
133744158
03744158
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (sqrt (+ -1/3 a)) (* 1/3 rand)) (+ -1/3 a))
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(sqrt (+ -1/3 a))
(+ -1/3 a)
-1/3
a
(* 1/3 rand)
1/3
rand
(+ -1/3 a)
-1/3
a
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
a
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))
1
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(/ 1 a)
(* 1/3 rand)
1/3
rand
(* (+ a -1/3) (+ 1 (/ rand (* 3 (sqrt a)))))
(+ a -1/3)
a
-1/3
(+ 1 (/ rand (* 3 (sqrt a))))
1
(/ rand (* 3 (sqrt a)))
rand
(* 3 (sqrt a))
3
(sqrt a)
(* (+ a -1/3) (+ (/ (/ rand 3) (sqrt (+ a -1/3))) 1))
(+ a -1/3)
a
-1/3
(+ (/ (/ rand 3) (sqrt (+ a -1/3))) 1)
(/ (/ rand 3) (sqrt (+ a -1/3)))
(/ rand 3)
rand
3
(sqrt (+ a -1/3))
1
Outputs
(+ (* (sqrt (+ -1/3 a)) (* 1/3 rand)) (+ -1/3 a))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(sqrt (+ -1/3 a))
(sqrt.f64 (+.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
(* 1/3 rand)
(/.f64 rand #s(literal 3 binary64))
1/3
#s(literal 1/3 binary64)
rand
(+ -1/3 a)
(+.f64 #s(literal -1/3 binary64) a)
-1/3
#s(literal -1/3 binary64)
a
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 rand #s(literal 3 binary64)))))
a
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 rand #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(* (sqrt (/ 1 a)) (* 1/3 rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* 1/3 rand)
(/.f64 rand #s(literal 3 binary64))
1/3
#s(literal 1/3 binary64)
rand
(* (+ a -1/3) (+ 1 (/ rand (* 3 (sqrt a)))))
(*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))))
(+ a -1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
-1/3
#s(literal -1/3 binary64)
(+ 1 (/ rand (* 3 (sqrt a))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)))
1
#s(literal 1 binary64)
(/ rand (* 3 (sqrt a)))
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
rand
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
3
#s(literal 3 binary64)
(sqrt a)
(sqrt.f64 a)
(* (+ a -1/3) (+ (/ (/ rand 3) (sqrt (+ a -1/3))) 1))
(*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))
(+ a -1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
-1/3
#s(literal -1/3 binary64)
(+ (/ (/ rand 3) (sqrt (+ a -1/3))) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))
(/ (/ rand 3) (sqrt (+ a -1/3)))
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(/ rand 3)
(/.f64 rand #s(literal 3 binary64))
rand
3
#s(literal 3 binary64)
(sqrt (+ a -1/3))
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
1
#s(literal 1 binary64)

localize181.0ms (1.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.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 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
✓accuracy99.5%
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
✓accuracy99.7%
(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
✓accuracy99.9%
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
✓accuracy99.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) a)
✓accuracy100.0%
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓accuracy99.5%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
Results
126.0ms256×0valid
Compiler

Compiled 173 to 28 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 12.0ms (26.8% of total)
ival-div: 8.0ms (17.9% of total)
ival-add: 8.0ms (17.9% of total)
...c/correct-round.rkt:119:19: 8.0ms (17.9% of total)
ival-sqrt: 8.0ms (17.9% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series29.0ms (0.2%)

Counts
19 → 360
Calls
Call 1
Inputs
#<alt (+ (* (sqrt (+ -1/3 a)) (* 1/3 rand)) (+ -1/3 a))>
#<alt (* (sqrt (+ -1/3 a)) (* 1/3 rand))>
#<alt (sqrt (+ -1/3 a))>
#<alt (+ -1/3 a)>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))>
#<alt (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))>
#<alt (* (sqrt (/ 1 a)) (* 1/3 rand))>
#<alt (sqrt (/ 1 a))>
#<alt (* (+ a -1/3) (+ 1 (/ rand (* 3 (sqrt a)))))>
#<alt (+ a -1/3)>
#<alt (+ 1 (/ rand (* 3 (sqrt a))))>
#<alt (/ rand (* 3 (sqrt a)))>
#<alt (* (+ a -1/3) (+ (/ (/ rand 3) (sqrt (+ a -1/3))) 1))>
#<alt (+ (/ (/ rand 3) (sqrt (+ a -1/3))) 1)>
#<alt (/ (/ rand 3) (sqrt (+ a -1/3)))>
#<alt (* 1/3 rand)>
#<alt (* 3 (sqrt a))>
#<alt (sqrt 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)))>
#<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 (* (sqrt a) rand))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt a>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (+ a (* 1/3 (* (sqrt a) rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (/ (+ a (* 1/3 (* (sqrt a) rand))) a)>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (sqrt (/ 1 a))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (* -1/9 (* (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 (* 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)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) 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 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (* -1/3 (+ 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 (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (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 (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

90 calls:

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

rewrite388.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
3658×/-lowering-/.f32
3658×/-lowering-/.f64
2978×*-lowering-*.f32
2978×*-lowering-*.f64
1608×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027129
1185118
22044116
08608116
Stop Event
1×iter limit
1×node limit
Counts
19 → 1107
Calls
Call 1
Inputs
(+ (* (sqrt (+ -1/3 a)) (* 1/3 rand)) (+ -1/3 a))
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(sqrt (+ -1/3 a))
(+ -1/3 a)
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(* (+ a -1/3) (+ 1 (/ rand (* 3 (sqrt a)))))
(+ a -1/3)
(+ 1 (/ rand (* 3 (sqrt a))))
(/ rand (* 3 (sqrt a)))
(* (+ a -1/3) (+ (/ (/ rand 3) (sqrt (+ a -1/3))) 1))
(+ (/ (/ rand 3) (sqrt (+ a -1/3))) 1)
(/ (/ rand 3) (sqrt (+ a -1/3)))
(* 1/3 rand)
(* 3 (sqrt a))
(sqrt a)
(sqrt (+ a -1/3))
Outputs
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a)
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) a))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) rand))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 3 binary64) rand))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) rand)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -3 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand)) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) rand))) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) rand) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal -1/3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1/2 binary64)))
(sqrt.f64 a)
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 a) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 a)) #s(literal -1 binary64))
(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))
(*.f64 #s(literal 1 binary64) (sqrt.f64 a))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) a)
(*.f64 (sqrt.f64 a) #s(literal 1 binary64))
(*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.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 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 a a) (-.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 #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 #s(literal -1/3 binary64) a)))))
(/.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (+.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 #s(literal -1/3 binary64) a)))))
(/.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 (*.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 #s(literal -1/3 binary64) a)))))
(/.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 (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 #s(literal -1/3 binary64) a))))))
(/.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 #s(literal -1/3 binary64) a))))))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (neg.f64 (pow.f64 (+.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(*.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 #s(literal -1/3 binary64) a)))) #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 #s(literal -1/3 binary64) a))))))
(*.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)))

simplify385.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
4170×*-lowering-*.f32
4170×*-lowering-*.f64
2558×+-lowering-+.f64
2558×+-lowering-+.f32
1356×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04314352
114373827
258253780
081643780
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
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 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
1
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(sqrt (/ 1 a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* -1/9 (* (sqrt (/ 1 a)) rand))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
-1/3
(- 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 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(* -1/3 (+ 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))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(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)))
(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 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))))))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/8 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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (+.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 #s(literal 1/48 binary64) (*.f64 a (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))))))))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a 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 1/3 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 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) (*.f64 rand #s(literal -1/18 binary64))) (/.f64 #s(literal -1/3 binary64) a)))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) (-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 binary64))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/216 binary64)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) a)) a)) (-.f64 #s(literal 0 binary64) a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 a (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 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))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt -1/3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/8 binary64)))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (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 #s(literal 1/48 binary64) (*.f64 a (/.f64 rand (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 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a)))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a)))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))) (*.f64 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a)))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal 1/18 binary64))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal 1/18 binary64)))) (*.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 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal 1/18 binary64)))) (*.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))))) (-.f64 #s(literal 0 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (-.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 a (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal -1/6 binary64)) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal -1/6 binary64)) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64))))) (-.f64 #s(literal 0 binary64) a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
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(* 1/3 (* (sqrt (/ 1 a)) rand))
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1
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(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
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(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 rand #s(literal 405/8 binary64)))) (sqrt.f64 #s(literal -3 binary64))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal 1/18 binary64))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal 1/18 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/54 binary64))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal 1/18 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/54 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64)))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) (*.f64 rand #s(literal -1/18 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) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/54 binary64)))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(-.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (-.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 a (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal -1/6 binary64)) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal -1/6 binary64)) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64))))) (-.f64 #s(literal 0 binary64) a))

eval275.0ms (2.3%)

Compiler

Compiled 40316 to 3694 computations (90.8% saved)

prune254.0ms (2.1%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New1772141786
Fresh516
Picked235
Done011
Total1779191798
Accuracy
100.0%
Counts
1798 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.6%
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
19.9%
(/.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)))))
36.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
▶99.9%
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
89.1%
(+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (+.f64 #s(literal -1/3 binary64) a))
98.1%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
✓99.8%
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
99.3%
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
▶98.1%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
✓66.3%
(+.f64 #s(literal -1/3 binary64) a)
▶36.5%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓99.8%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
✓99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
▶19.9%
(*.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))))))
34.5%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
98.1%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
33.3%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
65.8%
a
▶1.5%
#s(literal -1/3 binary64)
Compiler

Compiled 401 to 287 computations (28.4% saved)

simplify164.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 16 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 a)
✓cost-diff0
(*.f64 a (*.f64 a a))
✓cost-diff0
(+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))
✓cost-diff128
(*.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))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
✓cost-diff0
(*.f64 a a)
✓cost-diff0
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓cost-diff128
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓cost-diff0
(*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand)
✓cost-diff0
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64))
✓cost-diff0
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
✓cost-diff64
(pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))
Rules
2358×fnmadd-define
2038×fma-define
1662×sum3-define
1586×fma-lowering-fma.f32
1586×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030140
170133
2140133
3263133
4442133
5673133
61099133
72147133
84697133
96363133
08016133
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ (* (pow (+ -1/3 a) 1/2) rand) 3) (+ -1/3 a))
(/ (* (pow (+ -1/3 a) 1/2) rand) 3)
(* (pow (+ -1/3 a) 1/2) rand)
(pow (+ -1/3 a) 1/2)
(+ -1/3 a)
-1/3
a
1/2
rand
3
-1/3
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
(- 1/9 (* a a))
1/9
(* a a)
a
(/ 1 (- -1/3 a))
1
(- -1/3 a)
-1/3
(* (+ -1/27 (* a (* a a))) (/ 1 (+ 1/9 (* a (+ a 1/3)))))
(+ -1/27 (* a (* a a)))
-1/27
(* a (* a a))
a
(* a a)
(/ 1 (+ 1/9 (* a (+ a 1/3))))
1
(+ 1/9 (* a (+ a 1/3)))
1/9
(* a (+ a 1/3))
(+ a 1/3)
1/3
(+ a (* 1/3 (* rand (sqrt a))))
a
(* 1/3 (* rand (sqrt a)))
1/3
(* rand (sqrt a))
rand
(sqrt a)
Outputs
(+ (/ (* (pow (+ -1/3 a) 1/2) rand) 3) (+ -1/3 a))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64))))
(/ (* (pow (+ -1/3 a) 1/2) rand) 3)
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(* (pow (+ -1/3 a) 1/2) rand)
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) rand)
(pow (+ -1/3 a) 1/2)
(sqrt.f64 (+.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
1/2
#s(literal 1/2 binary64)
rand
3
#s(literal 3 binary64)
-1/3
#s(literal -1/3 binary64)
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(- 1/9 (* a a))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
1/9
#s(literal 1/9 binary64)
(* a a)
(*.f64 a a)
a
(/ 1 (- -1/3 a))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
1
#s(literal 1 binary64)
(- -1/3 a)
(-.f64 #s(literal -1/3 binary64) a)
-1/3
#s(literal -1/3 binary64)
(* (+ -1/27 (* a (* a a))) (/ 1 (+ 1/9 (* a (+ a 1/3)))))
(/.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)))))
(+ -1/27 (* 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 a)
(*.f64 a a)
(/ 1 (+ 1/9 (* a (+ a 1/3))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
1
#s(literal 1 binary64)
(+ 1/9 (* a (+ a 1/3)))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))
1/9
#s(literal 1/9 binary64)
(* a (+ a 1/3))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(+ a 1/3)
(+.f64 a #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ a (* 1/3 (* rand (sqrt a))))
(+.f64 a (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64))))
a
(* 1/3 (* rand (sqrt a)))
(*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(* rand (sqrt a))
(*.f64 rand (sqrt.f64 a))
rand
(sqrt a)
(sqrt.f64 a)

localize208.0ms (1.7%)

Localize:

Found 16 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))
✓accuracy99.5%
(*.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))
✓accuracy98.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
✓accuracy39.9%
(*.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))))))
✓accuracy100.0%
(-.f64 #s(literal -1/3 binary64) a)
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓accuracy54.0%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓accuracy100.0%
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))
✓accuracy99.6%
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64))
✓accuracy99.6%
(*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand)
Results
158.0ms256×0valid
Compiler

Compiled 161 to 31 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
...c/correct-round.rkt:119:19: 24.0ms (34.8% of total)
ival-add: 13.0ms (18.9% of total)
ival-mult: 13.0ms (18.9% of total)
ival-div: 7.0ms (10.2% of total)
ival-pow: 7.0ms (10.2% of total)
ival-sub: 2.0ms (2.9% of total)
ival-sqrt: 2.0ms (2.9% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.2%)

Counts
18 → 288
Calls
Call 1
Inputs
#<alt (pow (+ -1/3 a) 1/2)>
#<alt (+ (/ (* (pow (+ -1/3 a) 1/2) rand) 3) (+ -1/3 a))>
#<alt (/ (* (pow (+ -1/3 a) 1/2) rand) 3)>
#<alt (* (pow (+ -1/3 a) 1/2) rand)>
#<alt (* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))>
#<alt (- 1/9 (* a a))>
#<alt (* a a)>
#<alt (/ 1 (- -1/3 a))>
#<alt (* (+ -1/27 (* a (* a a))) (/ 1 (+ 1/9 (* a (+ a 1/3)))))>
#<alt (+ -1/27 (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (+ a (* 1/3 (* rand (sqrt a))))>
#<alt (* 1/3 (* rand (sqrt a)))>
#<alt (* rand (sqrt a))>
#<alt (sqrt a)>
#<alt (- -1/3 a)>
#<alt (/ 1 (+ 1/9 (* a (+ a 1/3))))>
#<alt (* a (+ a 1/3))>
Outputs
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* 1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (sqrt -1/3))>
#<alt (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))>
#<alt (* (sqrt a) rand)>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt 1/9>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt -3>
#<alt (- (* 9 a) 3)>
#<alt (- (* a (+ 9 (* -27 a))) 3)>
#<alt (- (* a (+ 9 (* a (- (* 81 a) 27)))) 3)>
#<alt (/ -1 a)>
#<alt (/ (- (* 1/3 (/ 1 a)) 1) a)>
#<alt (/ (- (* 1/3 (/ 1 a)) (+ 1 (/ 1/9 (pow a 2)))) a)>
#<alt (/ (- (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))) (+ 1 (/ 1/9 (pow a 2)))) a)>
#<alt (/ -1 a)>
#<alt (* -1 (/ (- 1 (* 1/3 (/ 1 a))) a))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 a))) a))) a))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 a))) a))) a))) a))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt -1/27>
#<alt (- (pow a 3) 1/27)>
#<alt (- (pow a 3) 1/27)>
#<alt (- (pow a 3) 1/27)>
#<alt (pow a 3)>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (pow a 3)>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (* 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 -1/3>
#<alt (- (* -1 a) 1/3)>
#<alt (- (* -1 a) 1/3)>
#<alt (- (* -1 a) 1/3)>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))>
#<alt 9>
#<alt (+ 9 (* -27 a))>
#<alt (+ 9 (* a (- (* 243 (pow a 2)) 27)))>
#<alt (+ 9 (* a (- (* (pow a 2) (+ 243 (* -729 a))) 27)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (- 1 (* 1/3 (/ 1 a))) (pow a 2))>
#<alt (/ (- (+ 1 (/ 1/27 (pow a 3))) (* 1/3 (/ 1 a))) (pow a 2))>
#<alt (/ (- (+ 1 (/ 1/27 (pow a 3))) (+ (* 1/3 (/ 1 a)) (* 1/81 (/ 1 (pow a 4))))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (- 1 (* 1/3 (/ 1 a))) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow a 2)))) a))) (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow a 3))) (* 1/27 (/ 1 (pow a 2)))) a))) (pow a 2))>
#<alt (* 1/3 a)>
#<alt (* a (+ 1/3 a))>
#<alt (* a (+ 1/3 a))>
#<alt (* a (+ 1/3 a))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))>
Calls

72 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
(/ 1 (+ 1/9 (* a (+ a 1/3))))
4.0ms
a
@inf
(+ -1/27 (* a (* a a)))
1.0ms
a
@-inf
(pow (+ -1/3 a) 1/2)
1.0ms
a
@-inf
(* (+ -1/27 (* a (* a a))) (/ 1 (+ 1/9 (* a (+ a 1/3)))))
1.0ms
a
@0
(* (+ -1/27 (* a (* a a))) (/ 1 (+ 1/9 (* a (+ a 1/3)))))

rewrite537.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
4874×*-lowering-*.f32
4874×*-lowering-*.f64
2824×+-lowering-+.f64
2824×+-lowering-+.f32
2758×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03090
118387
2177487
0935087
Stop Event
1×iter limit
1×node limit
Counts
18 → 1003
Calls
Call 1
Inputs
(pow (+ -1/3 a) 1/2)
(+ (/ (* (pow (+ -1/3 a) 1/2) rand) 3) (+ -1/3 a))
(/ (* (pow (+ -1/3 a) 1/2) rand) 3)
(* (pow (+ -1/3 a) 1/2) rand)
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
(- 1/9 (* a a))
(* a a)
(/ 1 (- -1/3 a))
(* (+ -1/27 (* a (* a a))) (/ 1 (+ 1/9 (* a (+ a 1/3)))))
(+ -1/27 (* a (* a a)))
(* a (* a a))
(+ a (* 1/3 (* rand (sqrt a))))
(* 1/3 (* rand (sqrt a)))
(* rand (sqrt a))
(sqrt a)
(- -1/3 a)
(/ 1 (+ 1/9 (* a (+ a 1/3))))
(* a (+ a 1/3))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -1/3 binary64) a))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/4 binary64)) (*.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
(/.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 #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 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (sqrt.f64 (+.f64 #s(literal 1/9 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 #s(literal -1/3 binary64) a)))))
(/.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 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))) (sqrt.f64 (*.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 (sqrt.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))) (sqrt.f64 (*.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 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (sqrt.f64 (-.f64 a #s(literal -1/3 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))) (+.f64 (neg.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 (neg.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (sqrt.f64 (*.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 (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (sqrt.f64 (*.f64 (+.f64 (neg.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (sqrt.f64 (*.f64 (+.f64 (neg.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (sqrt.f64 (+.f64 (neg.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (neg.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))))))) (sqrt.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (sqrt.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (sqrt.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.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))))))) (sqrt.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.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))))))) (sqrt.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (sqrt.f64 (+.f64 (neg.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))) (sqrt.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal -1/3 binary64) a)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #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 #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)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64))))))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
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(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64))))))) (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))))
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(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 rand #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))) a)
(+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) a) #s(literal -1/3 binary64))
(-.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal -3 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 rand #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))))
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(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 1/3 binary64) (+.f64 #s(literal -1/3 binary64) a))
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(-.f64 #s(literal -1/3 binary64) (/.f64 a #s(literal 1 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 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a)))) (/.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a)))))
(fma.f64 #s(literal -1 binary64) a #s(literal -1/3 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/3 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))))
(/.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) a)))))
(/.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 #s(literal -1/3 binary64) a)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (neg.f64 (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64))
(*.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 #s(literal -1/3 binary64) a)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (neg.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64))))
(/.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64)))
(pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))) #s(literal -1 binary64))
(*.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 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/9 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64)))))) (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 binary64)))
(+.f64 (*.f64 a a) (*.f64 a #s(literal 1/3 binary64)))
(+.f64 (*.f64 a a) (neg.f64 (*.f64 #s(literal -1/3 binary64) a)))
(+.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) a)))
(+.f64 (*.f64 a (-.f64 a #s(literal -1/3 binary64))) (fma.f64 #s(literal 1/3 binary64) a (*.f64 #s(literal -1/3 binary64) a)))
(+.f64 (*.f64 a #s(literal 1/3 binary64)) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 #s(literal -1/3 binary64) a))
(fma.f64 a a (*.f64 a #s(literal 1/3 binary64)))
(fma.f64 a a (neg.f64 (*.f64 #s(literal -1/3 binary64) a)))
(fma.f64 a #s(literal 1/3 binary64) (*.f64 a a))
(fma.f64 a (+.f64 a #s(literal 1/3 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) a)))
(fma.f64 a (-.f64 a #s(literal -1/3 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) a)))
(fma.f64 #s(literal 1/3 binary64) a (*.f64 a a))
(fma.f64 (+.f64 a #s(literal 1/3 binary64)) a (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 (*.f64 a #s(literal 1/3 binary64)) (*.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/3 binary64))))))
(/.f64 (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a)) (*.f64 (*.f64 a a) (*.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a #s(literal 1/3 binary64)) (*.f64 a #s(literal 1/3 binary64)))) (-.f64 (*.f64 a a) (*.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal -1/3 binary64) a))) (*.f64 a (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 (*.f64 a (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64))) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (*.f64 a (+.f64 (*.f64 a a) #s(literal -1/9 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)) a) (+.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)) a) (+.f64 #s(literal -1/3 binary64) a))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(*.f64 a (-.f64 a #s(literal -1/3 binary64)))
(*.f64 (+.f64 a #s(literal 1/3 binary64)) a)

simplify344.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
4518×*-lowering-*.f32
4518×*-lowering-*.f64
3804×+-lowering-+.f64
3804×+-lowering-+.f32
1374×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03912518
112882244
247242207
084812207
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (sqrt -1/3))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(* (sqrt a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1/9
(+ 1/9 (* -1 (pow a 2)))
(+ 1/9 (* -1 (pow a 2)))
(+ 1/9 (* -1 (pow a 2)))
(* -1 (pow a 2))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
-3
(- (* 9 a) 3)
(- (* a (+ 9 (* -27 a))) 3)
(- (* a (+ 9 (* a (- (* 81 a) 27)))) 3)
(/ -1 a)
(/ (- (* 1/3 (/ 1 a)) 1) a)
(/ (- (* 1/3 (/ 1 a)) (+ 1 (/ 1/9 (pow a 2)))) a)
(/ (- (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))) (+ 1 (/ 1/9 (pow a 2)))) a)
(/ -1 a)
(* -1 (/ (- 1 (* 1/3 (/ 1 a))) a))
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 a))) a))) a))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 a))) a))) a))) a))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
-1/27
(- (pow a 3) 1/27)
(- (pow a 3) 1/27)
(- (pow a 3) 1/27)
(pow a 3)
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(pow a 3)
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(* 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)))
-1/3
(- (* -1 a) 1/3)
(- (* -1 a) 1/3)
(- (* -1 a) 1/3)
(* -1 a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
9
(+ 9 (* -27 a))
(+ 9 (* a (- (* 243 (pow a 2)) 27)))
(+ 9 (* a (- (* (pow a 2) (+ 243 (* -729 a))) 27)))
(/ 1 (pow a 2))
(/ (- 1 (* 1/3 (/ 1 a))) (pow a 2))
(/ (- (+ 1 (/ 1/27 (pow a 3))) (* 1/3 (/ 1 a))) (pow a 2))
(/ (- (+ 1 (/ 1/27 (pow a 3))) (+ (* 1/3 (/ 1 a)) (* 1/81 (/ 1 (pow a 4))))) (pow a 2))
(/ 1 (pow a 2))
(/ (- 1 (* 1/3 (/ 1 a))) (pow a 2))
(/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow a 2)))) a))) (pow a 2))
(/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow a 3))) (* 1/27 (/ 1 (pow a 2)))) a))) (pow a 2))
(* 1/3 a)
(* a (+ 1/3 a))
(* a (+ 1/3 a))
(* a (+ 1/3 a))
(pow a 2)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
Outputs
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 a (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a)))) (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a)))) (+.f64 (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (*.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a))) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a))) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)) (/.f64 (*.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) a))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(+.f64 (*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 a (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))))
(- (+ (* 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 #s(literal 1 binary64) (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 a (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 (*.f64 (*.f64 a rand) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))) (+.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.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))) (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a)) #s(literal -1/18 binary64)))))))
(* 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 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a)) (*.f64 rand #s(literal -1/18 binary64))) (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64))))))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/3 binary64)))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 1/18 binary64))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/216 binary64)) (*.f64 (sqrt.f64 a) #s(literal 1/18 binary64)))) a)) a)))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt -1/3)))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a 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 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 a (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 (*.f64 (*.f64 a rand) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (*.f64 rand (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a)) #s(literal -1/18 binary64)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
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(* 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))))))
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(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* rand (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
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(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
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(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
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(* rand (sqrt (- a 1/3)))
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(* rand (sqrt (- a 1/3)))
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(* rand (sqrt (- a 1/3)))
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-1/3
#s(literal -1/3 binary64)
(- 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
(* a (- 1 (* 1/3 (/ 1 a))))
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a
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1/9
#s(literal 1/9 binary64)
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(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
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(* -1 (pow a 2))
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(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
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(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
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(pow a 2)
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(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
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(- (* a (+ 9 (* -27 a))) 3)
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(- (* a (+ 9 (* a (- (* 81 a) 27)))) 3)
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(/ -1 a)
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(/ (- (* 1/3 (/ 1 a)) 1) a)
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(/ (- (* 1/3 (/ 1 a)) (+ 1 (/ 1/9 (pow a 2)))) a)
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(* -1 (/ (- 1 (* 1/3 (/ 1 a))) a))
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#s(literal -1/3 binary64)
(- a 1/3)
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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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#s(literal -1/27 binary64)
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(- (pow a 3) 1/27)
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(- (pow a 3) 1/27)
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(pow a 3)
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(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
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(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
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(pow a 3)
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(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(pow a 3)
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(* 1/3 (* (sqrt a) rand))
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(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/3 binary64)))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/3 binary64)))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/3 binary64)))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/3 binary64)))))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) rand)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
-1/3
#s(literal -1/3 binary64)
(- (* -1 a) 1/3)
(-.f64 #s(literal -1/3 binary64) a)
(- (* -1 a) 1/3)
(-.f64 #s(literal -1/3 binary64) a)
(- (* -1 a) 1/3)
(-.f64 #s(literal -1/3 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
(* -1 (* a (+ 1 (* 1/3 (/ 1 a)))))
(-.f64 #s(literal -1/3 binary64) a)
9
#s(literal 9 binary64)
(+ 9 (* -27 a))
(+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))
(+ 9 (* a (- (* 243 (pow a 2)) 27)))
(+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64)))))
(+ 9 (* a (- (* (pow a 2) (+ 243 (* -729 a))) 27)))
(+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))
(/ 1 (pow a 2))
(/.f64 (/.f64 #s(literal 1 binary64) a) a)
(/ (- 1 (* 1/3 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 a a))
(/ (- (+ 1 (/ 1/27 (pow a 3))) (* 1/3 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))) (*.f64 a a))
(/ (- (+ 1 (/ 1/27 (pow a 3))) (+ (* 1/3 (/ 1 a)) (* 1/81 (/ 1 (pow a 4))))) (pow a 2))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))) (/.f64 #s(literal -1/81 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 (/.f64 #s(literal 1 binary64) a) a)
(/ (- 1 (* 1/3 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 a a))
(/ (+ 1 (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow a 2)))) a))) (pow a 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal -1/27 binary64) a) a)) a)) (*.f64 a a))
(/ (+ 1 (* -1 (/ (- (+ 1/3 (/ 1/81 (pow a 3))) (* 1/27 (/ 1 (pow a 2)))) a))) (pow a 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a a)))) (/.f64 (/.f64 #s(literal -1/27 binary64) a) a)) a)) (*.f64 a a))
(* 1/3 a)
(*.f64 a #s(literal 1/3 binary64))
(* a (+ 1/3 a))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* a (+ 1/3 a))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* a (+ 1/3 a))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))
(* (pow a 2) (+ 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal 1/3 binary64)))

eval168.0ms (1.4%)

Compiler

Compiled 44748 to 3701 computations (91.7% saved)

prune234.0ms (1.9%)

Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1292191311
Fresh4610
Picked325
Done134
Total1300301330
Accuracy
100.0%
Counts
1330 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.4%
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
6.2%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
36.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
98.6%
(+.f64 (/.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
98.1%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
✓99.8%
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
99.3%
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
▶99.9%
(+.f64 (*.f64 rand (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
57.8%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (*.f64 a a) #s(literal 1/4 binary64)))))
✓98.1%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
✓66.3%
(+.f64 #s(literal -1/3 binary64) a)
19.3%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
36.0%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
5.8%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
9.7%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
4.7%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
9.9%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
✓99.8%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
19.4%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
13.4%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)) a) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))))
10.2%
(*.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 #s(literal 1/3 binary64)))))
10.4%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64))))))
▶6.4%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
▶5.7%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
9.9%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
▶34.5%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
98.1%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
33.3%
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
▶65.8%
a
✓1.5%
#s(literal -1/3 binary64)
Compiler

Compiled 890 to 592 computations (33.5% saved)

simplify319.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) rand)
✓cost-diff0
(+.f64 #s(literal -1/3 binary64) a)
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓cost-diff0
(*.f64 a a)
✓cost-diff0
(*.f64 a (*.f64 a a))
✓cost-diff0
(+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))
✓cost-diff0
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
✓cost-diff0
(*.f64 a a)
✓cost-diff0
(*.f64 a (*.f64 a a))
✓cost-diff0
(+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))
✓cost-diff0
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
✓cost-diff0
(/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))
✓cost-diff0
(*.f64 rand (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
✓cost-diff0
(+.f64 (*.f64 rand (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
✓cost-diff64
(pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))
Rules
3462×*-lowering-*.f32
3462×*-lowering-*.f64
3460×sum3-define
1404×+-lowering-+.f64
1404×+-lowering-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033188
183173
2240173
3814173
44148173
56734173
66849173
76983173
87047173
97047173
08569173
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* rand (/ (pow (+ -1/3 a) 1/2) 3)) (+ -1/3 a))
(* rand (/ (pow (+ -1/3 a) 1/2) 3))
rand
(/ (pow (+ -1/3 a) 1/2) 3)
(pow (+ -1/3 a) 1/2)
(+ -1/3 a)
-1/3
a
1/2
3
a
(* (+ -1/27 (* a (* a a))) (+ 9 (* a -27)))
(+ -1/27 (* a (* a a)))
-1/27
(* a (* a a))
a
(* a a)
(+ 9 (* a -27))
9
(* a -27)
-27
(* (+ -1/27 (* a (* a a))) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))
(+ -1/27 (* a (* a a)))
-1/27
(* a (* a a))
a
(* a a)
(+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729)))))))
9
(* a (+ -27 (* a (* a (+ 243 (* a -729))))))
(+ -27 (* a (* a (+ 243 (* a -729)))))
-27
(* a (* a (+ 243 (* a -729))))
(* a (+ 243 (* a -729)))
(+ 243 (* a -729))
243
(* a -729)
-729
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(sqrt (+ -1/3 a))
(+ -1/3 a)
-1/3
a
(* 1/3 rand)
1/3
rand
Outputs
(+ (* rand (/ (pow (+ -1/3 a) 1/2) 3)) (+ -1/3 a))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(* rand (/ (pow (+ -1/3 a) 1/2) 3))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
rand
(/ (pow (+ -1/3 a) 1/2) 3)
(/.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64))
(pow (+ -1/3 a) 1/2)
(sqrt.f64 (+.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
1/2
#s(literal 1/2 binary64)
3
#s(literal 3 binary64)
a
(* (+ -1/27 (* a (* a a))) (+ 9 (* a -27)))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 a a) a)) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -27 binary64) a)))
(+ -1/27 (* a (* a a)))
(+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 a a) a))
-1/27
#s(literal -1/27 binary64)
(* a (* a a))
(*.f64 (*.f64 a a) a)
a
(* a a)
(*.f64 a a)
(+ 9 (* a -27))
(+.f64 #s(literal 9 binary64) (*.f64 #s(literal -27 binary64) a))
9
#s(literal 9 binary64)
(* a -27)
(*.f64 #s(literal -27 binary64) a)
-27
#s(literal -27 binary64)
(* (+ -1/27 (* a (* a a))) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 a a) a)) (+.f64 #s(literal 9 binary64) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 #s(literal -729 binary64) a)))) a)))
(+ -1/27 (* a (* a a)))
(+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 a a) a))
-1/27
#s(literal -1/27 binary64)
(* a (* a a))
(*.f64 (*.f64 a a) a)
a
(* a a)
(*.f64 a a)
(+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729)))))))
(+.f64 #s(literal 9 binary64) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 #s(literal -729 binary64) a)))) a))
9
#s(literal 9 binary64)
(* a (+ -27 (* a (* a (+ 243 (* a -729))))))
(*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 #s(literal -729 binary64) a)))) a)
(+ -27 (* a (* a (+ 243 (* a -729)))))
(+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 #s(literal -729 binary64) a))))
-27
#s(literal -27 binary64)
(* a (* a (+ 243 (* a -729))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 #s(literal -729 binary64) a)))
(* a (+ 243 (* a -729)))
(*.f64 (+.f64 #s(literal 243 binary64) (*.f64 #s(literal -729 binary64) a)) a)
(+ 243 (* a -729))
(+.f64 #s(literal 243 binary64) (*.f64 #s(literal -729 binary64) a))
243
#s(literal 243 binary64)
(* a -729)
(*.f64 #s(literal -729 binary64) a)
-729
#s(literal -729 binary64)
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)))
(sqrt (+ -1/3 a))
(sqrt.f64 (+.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
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
rand

localize196.0ms (1.6%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) a)
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓accuracy99.5%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy99.9%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
✓accuracy99.9%
(*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))
✓accuracy99.8%
(*.f64 a (*.f64 a a))
✓accuracy99.8%
(*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))
✓accuracy100.0%
(*.f64 a #s(literal -27 binary64))
✓accuracy100.0%
(+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))
✓accuracy99.9%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
✓accuracy99.8%
(*.f64 a (*.f64 a a))
✓accuracy100.0%
(+.f64 (*.f64 rand (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))
✓accuracy99.6%
(*.f64 rand (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
✓accuracy99.6%
(/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))
Results
132.0ms251×0valid
5.0ms3×2valid
3.0ms2×1valid
Compiler

Compiled 215 to 34 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 19.0ms (34.3% of total)
...c/correct-round.rkt:119:19: 13.0ms (23.5% of total)
ival-add: 9.0ms (16.3% of total)
ival-pow: 7.0ms (12.6% of total)
ival-div: 3.0ms (5.4% of total)
ival-sqrt: 2.0ms (3.6% of total)
const: 1.0ms (1.8% of total)
backward-pass: 1.0ms (1.8% of total)

series11.0ms (0.1%)

Counts
17 → 240
Calls
Call 1
Inputs
#<alt (pow (+ -1/3 a) 1/2)>
#<alt (+ (* rand (/ (pow (+ -1/3 a) 1/2) 3)) (+ -1/3 a))>
#<alt (* rand (/ (pow (+ -1/3 a) 1/2) 3))>
#<alt (/ (pow (+ -1/3 a) 1/2) 3)>
#<alt (* (+ -1/27 (* a (* a a))) (+ 9 (* a -27)))>
#<alt (+ -1/27 (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (* (+ -1/27 (* a (* a a))) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))>
#<alt (* (sqrt (+ -1/3 a)) (* 1/3 rand))>
#<alt (sqrt (+ -1/3 a))>
#<alt (+ -1/3 a)>
#<alt (* 1/3 rand)>
#<alt (+ 9 (* a -27))>
#<alt (* a -27)>
#<alt (* a (+ 243 (* a -729)))>
#<alt (* a (* a (+ 243 (* a -729))))>
Outputs
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (- 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 (- (+ (* 1/3 (* 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 (* 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 (* 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 (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 -1/3>
#<alt (- a 1/3)>
#<alt (- (* a (+ 1 (* 9 (pow a 2)))) 1/3)>
#<alt (- (* a (+ 1 (* (pow a 2) (+ 9 (* -27 a))))) 1/3)>
#<alt (* -27 (pow a 4))>
#<alt (* (pow a 4) (- (* 9 (/ 1 a)) 27))>
#<alt (* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) 27))>
#<alt (* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) (+ 27 (* 1/3 (/ 1 (pow a 4))))))>
#<alt (* -27 (pow a 4))>
#<alt (* (pow a 4) (- (* 9 (/ 1 a)) 27))>
#<alt (* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) 27))>
#<alt (* (pow a 4) (- (* -1 (/ (- (/ 1/3 (pow a 3)) (+ 9 (/ 1 (pow a 2)))) a)) 27))>
#<alt -1/27>
#<alt (- (pow a 3) 1/27)>
#<alt (- (pow a 3) 1/27)>
#<alt (- (pow a 3) 1/27)>
#<alt (pow a 3)>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))>
#<alt (pow a 3)>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- (* a (+ 1 (* 243 (pow a 5)))) 1/3)>
#<alt (- (* a (+ 1 (* (pow a 5) (+ 243 (* -729 a))))) 1/3)>
#<alt (* -729 (pow a 7))>
#<alt (* (pow a 7) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 7) (- (+ (* 243 (/ 1 a)) (/ 1 (pow a 6))) 729))>
#<alt (* (pow a 7) (- (+ (* 243 (/ 1 a)) (/ 1 (pow a 6))) (+ 729 (* 1/3 (/ 1 (pow a 7))))))>
#<alt (* -729 (pow a 7))>
#<alt (* -1 (* (pow a 7) (- 729 (* 243 (/ 1 a)))))>
#<alt (* -1 (* (pow a 7) (+ 729 (* -1 (/ (+ 243 (/ 1 (pow a 5))) a)))))>
#<alt (* -1 (* (pow a 7) (+ 729 (* -1 (/ (+ 243 (* -1 (/ (- (* 1/3 (/ 1 a)) 1) (pow a 5)))) a)))))>
#<alt (* 1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt 9>
#<alt (+ 9 (* -27 a))>
#<alt (+ 9 (* -27 a))>
#<alt (+ 9 (* -27 a))>
#<alt (* -27 a)>
#<alt (* a (- (* 9 (/ 1 a)) 27))>
#<alt (* a (- (* 9 (/ 1 a)) 27))>
#<alt (* a (- (* 9 (/ 1 a)) 27))>
#<alt (* -27 a)>
#<alt (* -1 (* a (- 27 (* 9 (/ 1 a)))))>
#<alt (* -1 (* a (- 27 (* 9 (/ 1 a)))))>
#<alt (* -1 (* a (- 27 (* 9 (/ 1 a)))))>
#<alt (* -27 a)>
#<alt (* -27 a)>
#<alt (* -27 a)>
#<alt (* -27 a)>
#<alt (* -27 a)>
#<alt (* -27 a)>
#<alt (* -27 a)>
#<alt (* -27 a)>
#<alt (* -27 a)>
#<alt (* -27 a)>
#<alt (* -27 a)>
#<alt (* -27 a)>
#<alt (* 243 a)>
#<alt (* a (+ 243 (* -729 a)))>
#<alt (* a (+ 243 (* -729 a)))>
#<alt (* a (+ 243 (* -729 a)))>
#<alt (* -729 (pow a 2))>
#<alt (* (pow a 2) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 2) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 2) (- (* 243 (/ 1 a)) 729))>
#<alt (* -729 (pow a 2))>
#<alt (* (pow a 2) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 2) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 2) (- (* 243 (/ 1 a)) 729))>
#<alt (* 243 (pow a 2))>
#<alt (* (pow a 2) (+ 243 (* -729 a)))>
#<alt (* (pow a 2) (+ 243 (* -729 a)))>
#<alt (* (pow a 2) (+ 243 (* -729 a)))>
#<alt (* -729 (pow a 3))>
#<alt (* (pow a 3) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 3) (- (* 243 (/ 1 a)) 729))>
#<alt (* (pow a 3) (- (* 243 (/ 1 a)) 729))>
#<alt (* -729 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))>
#<alt (* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))>
#<alt (* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))>
Calls

60 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(* (+ -1/27 (* a (* a a))) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))
1.0ms
a
@-inf
(/ (pow (+ -1/3 a) 1/2) 3)
1.0ms
a
@-inf
(* (+ -1/27 (* a (* a a))) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))
0.0ms
a
@0
(* (+ -1/27 (* a (* a a))) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))
0.0ms
a
@inf
(/ (pow (+ -1/3 a) 1/2) 3)

rewrite478.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
3868×*-lowering-*.f32
3868×*-lowering-*.f64
3448×/-lowering-/.f32
3448×/-lowering-/.f64
2602×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033111
1188104
21713104
09606104
Stop Event
1×iter limit
1×node limit
Counts
17 → 684
Calls
Call 1
Inputs
(pow (+ -1/3 a) 1/2)
(+ (* rand (/ (pow (+ -1/3 a) 1/2) 3)) (+ -1/3 a))
(* rand (/ (pow (+ -1/3 a) 1/2) 3))
(/ (pow (+ -1/3 a) 1/2) 3)
(* (+ -1/27 (* a (* a a))) (+ 9 (* a -27)))
(+ -1/27 (* a (* a a)))
(* a (* a a))
(* a a)
(* (+ -1/27 (* a (* a a))) (+ 9 (* a (+ -27 (* a (* a (+ 243 (* a -729))))))))
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(sqrt (+ -1/3 a))
(+ -1/3 a)
(* 1/3 rand)
(+ 9 (* a -27))
(* a -27)
(* a (+ 243 (* a -729)))
(* a (* a (+ 243 (* a -729))))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal -1/3 binary64) a))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/4 binary64)) (*.f64 (log.f64 (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.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 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (pow.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))))
(/.f64 (pow.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (sqrt.f64 (*.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 (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 1/9 binary64) (*.f64 a a)))) (sqrt.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (sqrt.f64 (-.f64 a #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 #s(literal -1/3 binary64) a)))
(*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))))
(*.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))))
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) a)
(+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))) a) #s(literal -1/3 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 #s(literal -1/3 binary64) a))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))))) (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (-.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) a)) (/.f64 (*.f64 a a) (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) a)))
(fma.f64 rand (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) rand (+.f64 #s(literal -1/3 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 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (+.f64 #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 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 1/3 binary64) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/4 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)))) (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3/2 binary64))))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3/2 binary64))))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))))) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))))) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)))) (neg.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64))) (+.f64 #s(literal -1/3 binary64) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (+.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) a))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (*.f64 rand #s(literal 1/3 binary64))))) (-.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (*.f64 a a)) (-.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)))) a))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) rand)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (neg.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (*.f64 rand #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) rand))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1 binary64) rand))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) rand)) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 3 binary64)) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal -3 binary64)) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) (neg.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal -3 binary64)) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) (*.f64 rand #s(literal 1 binary64)))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal -3 binary64)) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) rand))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1 binary64) rand))) (*.f64 (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) rand)) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) #s(literal -3 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) (neg.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) #s(literal -3 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) (*.f64 rand #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) #s(literal -3 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) rand))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) (*.f64 #s(literal 1 binary64) rand))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (/.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)))) rand)) (*.f64 (/.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 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (/.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)))) #s(literal 1 binary64))) (*.f64 (/.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 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 3 binary64) (*.f64 (/.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 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (/.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)))) #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 (/.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)))) (neg.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (/.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)))) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 (/.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 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (/.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)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (/.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 #s(literal 1 binary64)))) (*.f64 (/.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 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 (/.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 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) rand))) (*.f64 (/.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)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (/.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 #s(literal 1 binary64) rand))) (*.f64 (/.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 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) rand)) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 3 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (neg.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 rand #s(literal 1 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) rand))) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 #s(literal 1 binary64) rand))) (*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (*.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)))) rand)) (*.f64 (*.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 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (*.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)))) #s(literal 1 binary64))) (*.f64 (*.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 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))) #s(literal 3 binary64)) (*.f64 (*.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 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (*.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)))) #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))) #s(literal -3 binary64)) (*.f64 (*.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)))) (neg.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (*.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)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))) #s(literal -3 binary64)) (*.f64 (*.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 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (*.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)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (*.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 #s(literal 1 binary64)))) (*.f64 (*.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 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))) #s(literal -3 binary64)) (*.f64 (*.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 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) rand))) (*.f64 (*.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)))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (*.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 #s(literal 1 binary64) rand))) (*.f64 (*.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 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) rand)) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (neg.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 rand #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) rand))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1 binary64) rand))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) rand)) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) #s(literal 3 binary64)) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) #s(literal -3 binary64)) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (neg.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) #s(literal -3 binary64)) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (*.f64 rand #s(literal 1 binary64)))) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) #s(literal -3 binary64)) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) rand))) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (*.f64 #s(literal 1 binary64) rand))) (*.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) rand)) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal 3 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -3 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) (neg.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -3 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) #s(literal -3 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) rand))) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1 binary64) rand))) (*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (-.f64 a #s(literal -1/3 binary64)) rand)) (*.f64 (-.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #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 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 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 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #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)) (neg.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #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 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #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)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (-.f64 a #s(literal -1/3 binary64)) (*.f64 rand #s(literal 1 binary64)))) (*.f64 (-.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 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 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) rand))) (*.f64 (-.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (-.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1 binary64) rand))) (*.f64 (-.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 rand (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (*.f64 rand (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a)))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (+.f64 (*.f64 rand (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))))
(/.f64 (+.f64 (*.f64 rand (/.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 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 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 (+.f64 (*.f64 rand (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (+.f64 (*.f64 rand (*.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 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 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 (+.f64 (*.f64 rand (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 rand (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (+.f64 (*.f64 rand (neg.f64 (-.f64 #s(literal -1/3 binary64) a))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (+.f64 (*.f64 rand (-.f64 a #s(literal -1/3 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (-.f64 a #s(literal -1/3 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.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 #s(literal -1/3 binary64) a)))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))))
(/.f64 (+.f64 (*.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 (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 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))))))
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(/.f64 (+.f64 (*.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 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))))) #s(literal 3 binary64)) (*.f64 #s(literal 3 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))))))
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(/.f64 (+.f64 (*.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 3 binary64) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (*.f64 #s(literal 3 binary64) (neg.f64 (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (+.f64 (*.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (-.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))))
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(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal -3 binary64) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (*.f64 #s(literal -3 binary64) (neg.f64 (-.f64 #s(literal -1/3 binary64) a))))
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(/.f64 (+.f64 (*.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (*.f64 #s(literal -3 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -3 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a)))) (*.f64 #s(literal -3 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -3 binary64) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (+.f64 (*.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))) (*.f64 #s(literal -3 binary64) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))))) (*.f64 #s(literal -3 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 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))))) #s(literal -3 binary64)) (*.f64 #s(literal -3 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 (+.f64 (*.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) #s(literal -3 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(/.f64 (+.f64 (*.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 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 #s(literal -3 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))))) (*.f64 #s(literal -3 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 (+.f64 (*.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (+.f64 (*.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))) (*.f64 #s(literal -3 binary64) (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal -3 binary64) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal -3 binary64) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (*.f64 #s(literal -3 binary64) (neg.f64 (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (+.f64 (*.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)))) (-.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))))
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(*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))
(*.f64 (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))) (*.f64 a a))
(*.f64 (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))) a)

simplify270.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
4400×*-lowering-*.f32
4400×*-lowering-*.f64
3288×+-lowering-+.f64
3288×+-lowering-+.f32
1622×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03982679
113092350
250522332
082722332
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(- 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)
(- (+ (* 1/3 (* 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)))
(* 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 (* 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 (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))))))))
-1/3
(- a 1/3)
(- (* a (+ 1 (* 9 (pow a 2)))) 1/3)
(- (* a (+ 1 (* (pow a 2) (+ 9 (* -27 a))))) 1/3)
(* -27 (pow a 4))
(* (pow a 4) (- (* 9 (/ 1 a)) 27))
(* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) 27))
(* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) (+ 27 (* 1/3 (/ 1 (pow a 4))))))
(* -27 (pow a 4))
(* (pow a 4) (- (* 9 (/ 1 a)) 27))
(* (pow a 4) (- (+ (* 9 (/ 1 a)) (/ 1 (pow a 3))) 27))
(* (pow a 4) (- (* -1 (/ (- (/ 1/3 (pow a 3)) (+ 9 (/ 1 (pow a 2)))) a)) 27))
-1/27
(- (pow a 3) 1/27)
(- (pow a 3) 1/27)
(- (pow a 3) 1/27)
(pow a 3)
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(* (pow a 3) (- 1 (* 1/27 (/ 1 (pow a 3)))))
(pow a 3)
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(* -1 (* (pow a 3) (- (* 1/27 (/ 1 (pow a 3))) 1)))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
-1/3
(- a 1/3)
(- (* a (+ 1 (* 243 (pow a 5)))) 1/3)
(- (* a (+ 1 (* (pow a 5) (+ 243 (* -729 a))))) 1/3)
(* -729 (pow a 7))
(* (pow a 7) (- (* 243 (/ 1 a)) 729))
(* (pow a 7) (- (+ (* 243 (/ 1 a)) (/ 1 (pow a 6))) 729))
(* (pow a 7) (- (+ (* 243 (/ 1 a)) (/ 1 (pow a 6))) (+ 729 (* 1/3 (/ 1 (pow a 7))))))
(* -729 (pow a 7))
(* -1 (* (pow a 7) (- 729 (* 243 (/ 1 a)))))
(* -1 (* (pow a 7) (+ 729 (* -1 (/ (+ 243 (/ 1 (pow a 5))) a)))))
(* -1 (* (pow a 7) (+ 729 (* -1 (/ (+ 243 (* -1 (/ (- (* 1/3 (/ 1 a)) 1) (pow a 5)))) a)))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
9
(+ 9 (* -27 a))
(+ 9 (* -27 a))
(+ 9 (* -27 a))
(* -27 a)
(* a (- (* 9 (/ 1 a)) 27))
(* a (- (* 9 (/ 1 a)) 27))
(* a (- (* 9 (/ 1 a)) 27))
(* -27 a)
(* -1 (* a (- 27 (* 9 (/ 1 a)))))
(* -1 (* a (- 27 (* 9 (/ 1 a)))))
(* -1 (* a (- 27 (* 9 (/ 1 a)))))
(* -27 a)
(* -27 a)
(* -27 a)
(* -27 a)
(* -27 a)
(* -27 a)
(* -27 a)
(* -27 a)
(* -27 a)
(* -27 a)
(* -27 a)
(* -27 a)
(* 243 a)
(* a (+ 243 (* -729 a)))
(* a (+ 243 (* -729 a)))
(* a (+ 243 (* -729 a)))
(* -729 (pow a 2))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(* -729 (pow a 2))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(* 243 (pow a 2))
(* (pow a 2) (+ 243 (* -729 a)))
(* (pow a 2) (+ 243 (* -729 a)))
(* (pow a 2) (+ 243 (* -729 a)))
(* -729 (pow a 3))
(* (pow a 3) (- (* 243 (/ 1 a)) 729))
(* (pow a 3) (- (* 243 (/ 1 a)) 729))
(* (pow a 3) (- (* 243 (/ 1 a)) 729))
(* -729 (pow a 3))
(* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))
(* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))
(* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))
Outputs
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64)))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (*.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 a (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)))))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (*.f64 #s(literal -1/432 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
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-1/3
#s(literal -1/3 binary64)
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a
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a
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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(* 1/3 rand)
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9
#s(literal 9 binary64)
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(* -27 a)
(*.f64 a #s(literal -27 binary64))
(* -27 a)
(*.f64 a #s(literal -27 binary64))
(* -27 a)
(*.f64 a #s(literal -27 binary64))
(* 243 a)
(*.f64 a #s(literal 243 binary64))
(* a (+ 243 (* -729 a)))
(*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))
(* a (+ 243 (* -729 a)))
(*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))
(* a (+ 243 (* -729 a)))
(*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))
(* -729 (pow a 2))
(*.f64 (*.f64 a a) #s(literal -729 binary64))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(*.f64 a (*.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(*.f64 a (*.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(*.f64 a (*.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* -729 (pow a 2))
(*.f64 (*.f64 a a) #s(literal -729 binary64))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(*.f64 a (*.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(*.f64 a (*.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* (pow a 2) (- (* 243 (/ 1 a)) 729))
(*.f64 a (*.f64 a (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a))))
(* 243 (pow a 2))
(*.f64 a (*.f64 a #s(literal 243 binary64)))
(* (pow a 2) (+ 243 (* -729 a)))
(*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))
(* (pow a 2) (+ 243 (* -729 a)))
(*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))
(* (pow a 2) (+ 243 (* -729 a)))
(*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))
(* -729 (pow a 3))
(*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))
(* (pow a 3) (- (* 243 (/ 1 a)) 729))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a)))
(* (pow a 3) (- (* 243 (/ 1 a)) 729))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a)))
(* (pow a 3) (- (* 243 (/ 1 a)) 729))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -729 binary64) (/.f64 #s(literal 243 binary64) a)))
(* -729 (pow a 3))
(*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))
(* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 729 binary64) (/.f64 #s(literal -243 binary64) a))))
(* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 729 binary64) (/.f64 #s(literal -243 binary64) a))))
(* -1 (* (pow a 3) (- 729 (* 243 (/ 1 a)))))
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 729 binary64) (/.f64 #s(literal -243 binary64) a))))

eval170.0ms (1.4%)

Compiler

Compiled 37431 to 3056 computations (91.8% saved)

prune194.0ms (1.6%)

Pruning

40 alts after pruning (34 fresh and 6 done)

PrunedKeptTotal
New1089171106
Fresh31720
Picked325
Done145
Total1096401136
Accuracy
100.0%
Counts
1136 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
1.7%
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) #s(literal 729 binary64))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
0.2%
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 a (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))))
34.5%
(/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))
36.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
2.6%
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))))
98.1%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
✓99.8%
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
99.3%
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
✓98.1%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
5.7%
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
9.9%
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
✓66.3%
(+.f64 #s(literal -1/3 binary64) a)
6.4%
(*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -729 binary64))
34.5%
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) rand)
19.3%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
36.0%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
5.8%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
9.7%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
4.7%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
9.9%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
19.4%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
5.7%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
2.9%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -19683 binary64))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
13.4%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)) a) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))))
10.2%
(*.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 #s(literal 1/3 binary64)))))
10.4%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64))))))
6.4%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))))))
10.4%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
5.7%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
9.9%
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
✓34.5%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
33.3%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
98.1%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
34.5%
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64))))
33.3%
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
9.7%
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
65.6%
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
✓65.8%
a
✓1.5%
#s(literal -1/3 binary64)
Compiler

Compiled 1696 to 727 computations (57.1% saved)

regimes87.0ms (0.7%)

Counts
63 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.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 #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(/.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 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -19683 binary64))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)) a) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) #s(literal 729 binary64))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 a (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))))
(*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -729 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) rand)
(/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(+.f64 (/.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (*.f64 a a) #s(literal 1/4 binary64)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (*.f64 rand (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (/.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(*.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)))
(*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 rand #s(literal -3 binary64)))))
Outputs
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
Calls

4 calls:

26.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
19.0ms
rand
18.0ms
a
18.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Results
AccuracySegmentsBranch
99.9%1a
99.9%1rand
99.9%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
99.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes37.0ms (0.3%)

Counts
54 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.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 #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(/.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 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -19683 binary64))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)) a) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) #s(literal 729 binary64))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 a (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))))
(*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -729 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) rand)
(/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(+.f64 (/.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (*.f64 a a) #s(literal 1/4 binary64)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (*.f64 rand (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
Outputs
(+.f64 (*.f64 rand (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
Calls

2 calls:

15.0ms
a
15.0ms
rand
Results
AccuracySegmentsBranch
99.9%1a
99.9%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes42.0ms (0.3%)

Counts
53 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.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 #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(/.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 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -19683 binary64))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)) a) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) #s(literal 729 binary64))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 a (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))))
(*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -729 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) rand)
(/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(+.f64 (/.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (*.f64 a a) #s(literal 1/4 binary64)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
Outputs
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
Calls

2 calls:

20.0ms
rand
14.0ms
a
Results
AccuracySegmentsBranch
99.8%1a
99.8%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes34.0ms (0.3%)

Counts
52 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.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 #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(/.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 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -19683 binary64))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)) a) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) #s(literal 729 binary64))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 a (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))))
(*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -729 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) rand)
(/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(+.f64 (/.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (pow.f64 (*.f64 a a) #s(literal 1/4 binary64)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 a #s(literal 9 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
Outputs
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
Calls

2 calls:

15.0ms
a
14.0ms
rand
Results
AccuracySegmentsBranch
99.3%1a
99.3%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes33.0ms (0.3%)

Counts
46 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.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 #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(/.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 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -19683 binary64))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)) a) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) #s(literal 729 binary64))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 a (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))))
(*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -729 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)) rand)
(/.f64 (*.f64 rand (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
Outputs
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
Calls

2 calls:

13.0ms
rand
12.0ms
a
Results
AccuracySegmentsBranch
98.1%1a
98.1%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts
40 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.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 #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(/.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 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -19683 binary64))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)) a) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) #s(literal 729 binary64))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 a (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))))
(*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -729 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
Outputs
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
Calls

2 calls:

12.0ms
a
11.0ms
rand
Results
AccuracySegmentsBranch
68.9%2a
92.7%3rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
39 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.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 #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(/.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 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -19683 binary64))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)) a) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) #s(literal 729 binary64))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 a (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))))
(*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -729 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
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:

12.0ms
rand
Results
AccuracySegmentsBranch
91.9%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts
36 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.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 #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(/.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 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -19683 binary64))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)) a) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) #s(literal 729 binary64))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 a (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))))
(*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -729 binary64))
Outputs
(*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -729 binary64))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
Calls

1 calls:

11.0ms
rand
Results
AccuracySegmentsBranch
77.5%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
35 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.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 #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(/.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 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 729 binary64)) #s(literal 81 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -19683 binary64))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 a #s(literal -27 binary64)) (-.f64 (*.f64 a #s(literal -27 binary64)) #s(literal 9 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))) (*.f64 (-.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)) a) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 a a) #s(literal 729 binary64))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (-.f64 a #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 a (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))))) (+.f64 #s(literal -1/19683 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64))))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64))))))
Outputs
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64)))))))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
Calls

1 calls:

11.0ms
rand
Results
AccuracySegmentsBranch
77.5%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
24 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.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 #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(/.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 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
Outputs
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
Calls

1 calls:

7.0ms
rand
Results
AccuracySegmentsBranch
76.8%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
23 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.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 #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(/.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 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 a a) #s(literal 243 binary64))))))
Outputs
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))
Calls

1 calls:

7.0ms
rand
Results
AccuracySegmentsBranch
76.7%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (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 -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.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 #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(/.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 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal 243 binary64) (*.f64 a #s(literal -729 binary64)))))))))
(*.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))))))
Outputs
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
Calls

1 calls:

7.0ms
rand
Results
AccuracySegmentsBranch
76.0%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
16 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(+.f64 #s(literal -1/3 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.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 #s(literal 1/3 binary64)))))
Outputs
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))
Calls

1 calls:

5.0ms
rand
Results
AccuracySegmentsBranch
76.0%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
rand
Results
AccuracySegmentsBranch
70.9%2rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
Outputs
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
Calls

1 calls:

3.0ms
rand
Results
AccuracySegmentsBranch
70.5%2rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))
Outputs
(+.f64 #s(literal -1/3 binary64) a)
Calls

2 calls:

2.0ms
rand
2.0ms
a
Results
AccuracySegmentsBranch
66.3%1a
66.3%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
rand
2.0ms
a
Results
AccuracySegmentsBranch
65.8%1a
65.8%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

bsearch34.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
8.793905779627119e+62
2.9511958280306888e+63
20.0ms
-4.5618560001974963e+73
-1.6585267306150398e+68
Results
23.0ms224×0valid
Compiler

Compiled 265 to 213 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (31.6% of total)
ival-mult: 4.0ms (31.6% of total)
ival-sqrt: 2.0ms (15.8% of total)
ival-sub: 1.0ms (7.9% of total)
ival-add: 1.0ms (7.9% of total)
const: 1.0ms (7.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
8.793905779627119e+62
2.9511958280306888e+63
19.0ms
-4.5618560001974963e+73
-1.6585267306150398e+68
Results
21.0ms224×0valid
Compiler

Compiled 237 to 185 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (37.3% of total)
ival-div: 4.0ms (29.8% of total)
ival-sqrt: 2.0ms (14.9% of total)
ival-sub: 1.0ms (7.5% of total)
ival-add: 1.0ms (7.5% of total)
const: 1.0ms (7.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch58.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.3597813600725137e+128
5.5163248104605355e+147
31.0ms
-1.8671404933036663e+150
-6.971727653155541e+147
Results
43.0ms304×0valid
Compiler

Compiled 447 to 344 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 20.0ms (63.3% of total)
ival-div: 5.0ms (15.8% of total)
ival-sqrt: 3.0ms (9.5% of total)
ival-sub: 2.0ms (6.3% of total)
ival-add: 2.0ms (6.3% of total)
const: 1.0ms (3.2% 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
1.3597813600725137e+128
5.5163248104605355e+147
17.0ms
-1.8671404933036663e+150
-6.971727653155541e+147
Results
29.0ms304×0valid
Compiler

Compiled 575 to 416 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.5% of total)
ival-div: 5.0ms (27.5% of total)
ival-sub: 2.0ms (11% of total)
ival-add: 2.0ms (11% of total)
ival-sqrt: 2.0ms (11% of total)
const: 1.0ms (5.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.3597813600725137e+128
5.5163248104605355e+147
19.0ms
-1.8671404933036663e+150
-6.971727653155541e+147
Results
31.0ms304×0valid
Compiler

Compiled 559 to 424 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 6.0ms (30.3% of total)
ival-div: 5.0ms (25.3% of total)
ival-sqrt: 5.0ms (25.3% of total)
ival-sub: 2.0ms (10.1% of total)
ival-add: 2.0ms (10.1% of total)
const: 1.0ms (5.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch49.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
29.0ms
1.3597813600725137e+128
5.5163248104605355e+147
16.0ms
-1.8671404933036663e+150
-6.971727653155541e+147
Results
28.0ms304×0valid
Compiler

Compiled 495 to 368 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.1% of total)
ival-div: 5.0ms (29.3% of total)
ival-sub: 2.0ms (11.7% of total)
ival-add: 2.0ms (11.7% of total)
ival-sqrt: 2.0ms (11.7% of total)
const: 1.0ms (5.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
1.3597813600725137e+128
5.5163248104605355e+147
21.0ms
-1.8671404933036663e+150
-6.971727653155541e+147
Results
38.0ms304×0valid
Compiler

Compiled 451 to 346 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 11.0ms (49.4% of total)
ival-div: 5.0ms (22.5% of total)
ival-sub: 2.0ms (9% of total)
ival-add: 2.0ms (9% of total)
ival-sqrt: 2.0ms (9% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
1.3597813600725137e+128
5.5163248104605355e+147
21.0ms
-1.8671404933036663e+150
-6.971727653155541e+147
Results
38.0ms304×0valid
Compiler

Compiled 385 to 291 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 11.0ms (48.5% of total)
ival-div: 5.0ms (22% of total)
ival-sub: 2.0ms (8.8% of total)
ival-add: 2.0ms (8.8% of total)
ival-sqrt: 2.0ms (8.8% of total)
const: 1.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
1.3597813600725137e+128
5.5163248104605355e+147
Results
26.0ms176×0valid
Compiler

Compiled 225 to 171 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 3.0ms (30.8% of total)
ival-mult: 3.0ms (30.8% of total)
ival-sub: 1.0ms (10.3% of total)
ival-add: 1.0ms (10.3% of total)
ival-sqrt: 1.0ms (10.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
1.3597813600725137e+128
5.5163248104605355e+147
Results
16.0ms176×0valid
Compiler

Compiled 203 to 160 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 3.0ms (30.8% of total)
ival-mult: 3.0ms (30.8% of total)
ival-sub: 1.0ms (10.3% of total)
ival-add: 1.0ms (10.3% of total)
ival-sqrt: 1.0ms (10.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify128.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0104373
1157373
2165373
3169373
4171373
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (*.f64 rand (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -6300000000000000073824163987161966705211001993195792415079943433617408 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 2700000000000000174485262311999105011508182869726146928765304832 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(if (<=.f64 rand #s(literal -699999999999999980277210587239577103826898837838342922400747488389627904 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 2899999999999999930294067767636488291342012882211626576611639296 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -14199999999999999900489662668817355691602708572631603770884363467426260910146158183665266341282347147840743800298546097937150740591376595279381790720 binary64)) (*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -729 binary64)) (if (<=.f64 rand #s(literal 5499999999999999701529242807384979945988023606915548924315420023278690854849398049012329572267892952275363485620520927845573876157192708120154996736 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -14199999999999999900489662668817355691602708572631603770884363467426260910146158183665266341282347147840743800298546097937150740591376595279381790720 binary64)) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64))))))) (if (<=.f64 rand #s(literal 1349999999999999988040202290011056336694363029297267161035739163113732399050364430709926536677405681315023361427468354406235633767069907339175788544 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -6999999999999999491072955992139319194516751655959893525541827066680325952782366128316954946842743848671653897578893545815794023087460830658854649856 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 5499999999999999701529242807384979945988023606915548924315420023278690854849398049012329572267892952275363485620520927845573876157192708120154996736 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -114999999999999991436254722243737785609325482593446985611122047153688485440383794211680529898633603371539043185179041968993144663259909535619073703936 binary64)) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 5499999999999999701529242807384979945988023606915548924315420023278690854849398049012329572267892952275363485620520927845573876157192708120154996736 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -6999999999999999491072955992139319194516751655959893525541827066680325952782366128316954946842743848671653897578893545815794023087460830658854649856 binary64)) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 162000000000000002113841483275969780663693719218819199722928156054693104104257594871906458392489479248970043184594862493409026082644960821788016640 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))))
(if (<=.f64 rand #s(literal -6999999999999999491072955992139319194516751655959893525541827066680325952782366128316954946842743848671653897578893545815794023087460830658854649856 binary64)) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 16999999999999999103983430977936825648565535956017111201219025724980016691052046320555281645786405200210878613959854740136357885730207091916800 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))))
(if (<=.f64 rand #s(literal 16999999999999999103983430977936825648565535956017111201219025724980016691052046320555281645786405200210878613959854740136357885730207091916800 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64)))
(if (<=.f64 rand #s(literal 2999999999999999933989147216972980523094471668403403242316759734907791817687322477280778148269781541909304805246611232406515296920193439186091507712 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
a
#s(literal -1/3 binary64)
Outputs
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) rand) #s(literal 3 binary64)))
(+.f64 (*.f64 rand (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 rand (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) a)
(+.f64 a (*.f64 (sqrt.f64 (+.f64 #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))))
(if (<=.f64 rand #s(literal -6300000000000000073824163987161966705211001993195792415079943433617408 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 2700000000000000174485262311999105011508182869726146928765304832 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(if (<=.f64 rand #s(literal -6300000000000000073824163987161966705211001993195792415079943433617408 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))) (if (<=.f64 rand #s(literal 2700000000000000174485262311999105011508182869726146928765304832 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 -699999999999999980277210587239577103826898837838342922400747488389627904 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 2899999999999999930294067767636488291342012882211626576611639296 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -14199999999999999900489662668817355691602708572631603770884363467426260910146158183665266341282347147840743800298546097937150740591376595279381790720 binary64)) (*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -729 binary64)) (if (<=.f64 rand #s(literal 5499999999999999701529242807384979945988023606915548924315420023278690854849398049012329572267892952275363485620520927845573876157192708120154996736 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -14199999999999999900489662668817355691602708572631603770884363467426260910146158183665266341282347147840743800298546097937150740591376595279381790720 binary64)) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -729 binary64))))))) (if (<=.f64 rand #s(literal 1349999999999999988040202290011056336694363029297267161035739163113732399050364430709926536677405681315023361427468354406235633767069907339175788544 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -14199999999999999900489662668817355691602708572631603770884363467426260910146158183665266341282347147840743800298546097937150740591376595279381790720 binary64)) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 #s(literal -729 binary64) (*.f64 a a))))))) (if (<=.f64 rand #s(literal 1349999999999999988040202290011056336694363029297267161035739163113732399050364430709926536677405681315023361427468354406235633767069907339175788544 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -6999999999999999491072955992139319194516751655959893525541827066680325952782366128316954946842743848671653897578893545815794023087460830658854649856 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 5499999999999999701529242807384979945988023606915548924315420023278690854849398049012329572267892952275363485620520927845573876157192708120154996736 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -114999999999999991436254722243737785609325482593446985611122047153688485440383794211680529898633603371539043185179041968993144663259909535619073703936 binary64)) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 5499999999999999701529242807384979945988023606915548924315420023278690854849398049012329572267892952275363485620520927845573876157192708120154996736 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a (*.f64 a #s(literal 243 binary64)))))))))
(if (<=.f64 rand #s(literal -6999999999999999491072955992139319194516751655959893525541827066680325952782366128316954946842743848671653897578893545815794023087460830658854649856 binary64)) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 162000000000000002113841483275969780663693719218819199722928156054693104104257594871906458392489479248970043184594862493409026082644960821788016640 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))))
(if (<=.f64 rand #s(literal -6999999999999999491072955992139319194516751655959893525541827066680325952782366128316954946842743848671653897578893545815794023087460830658854649856 binary64)) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 162000000000000002113841483275969780663693719218819199722928156054693104104257594871906458392489479248970043184594862493409026082644960821788016640 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))))))
(if (<=.f64 rand #s(literal -6999999999999999491072955992139319194516751655959893525541827066680325952782366128316954946842743848671653897578893545815794023087460830658854649856 binary64)) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (*.f64 a #s(literal -27 binary64))) (if (<=.f64 rand #s(literal 16999999999999999103983430977936825648565535956017111201219025724980016691052046320555281645786405200210878613959854740136357885730207091916800 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64))))
(if (<=.f64 rand #s(literal 16999999999999999103983430977936825648565535956017111201219025724980016691052046320555281645786405200210878613959854740136357885730207091916800 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) #s(literal 9 binary64)))
(if (<=.f64 rand #s(literal 2999999999999999933989147216972980523094471668403403242316759734907791817687322477280778148269781541909304805246611232406515296920193439186091507712 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
a
#s(literal -1/3 binary64)

soundness2.9s (24%)

Rules
4874×*-lowering-*.f32
4874×*-lowering-*.f64
4588×*-lowering-*.f32
4588×*-lowering-*.f64
4518×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03982679
113092350
250522332
082722332
03090
118387
2177487
0935087
03563530
111863029
244242972
081432972
04314352
114373827
258253780
081643780
01414
13313
28512
322812
455312
599912
6161312
7281812
8739612
9783512
10799212
0811912
027129
1185118
22044116
08608116
03912518
112882244
247242207
084812207
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1858 to 1164 computations (37.4% saved)

preprocess88.0ms (0.7%)

Compiler

Compiled 818 to 234 computations (71.4% saved)

end0.0ms (0%)

Profiling

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