Octave 3.8, oct_fill_randg

Time bar (total: 10.8s)

analyze22.0ms (0.2%)

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

Compiled 23 to 14 computations (39.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (40.5% of total)
ival-sub: 3.0ms (24.3% of total)
ival-div: 2.0ms (16.2% of total)
ival-add: 1.0ms (8.1% of total)
ival-sqrt: 1.0ms (8.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.6s (14.4%)

Results
953.0ms8256×0valid
38.0ms470×0invalid
Precisions
Click to see histograms. Total time spent on operations: 701.0ms
ival-div: 246.0ms (35.1% of total)
ival-mult: 238.0ms (34% of total)
ival-sqrt: 73.0ms (10.4% of total)
ival-add: 63.0ms (9% of total)
ival-sub: 56.0ms (8% of total)
const: 21.0ms (3% of total)
backward-pass: 4.0ms (0.6% of total)
Bogosity

preprocess215.0ms (2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03592
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))

explain198.0ms (1.8%)

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
89.0ms474×0valid
8.0ms22×2valid
4.0ms6×5exit
2.0ms10×1valid
Compiler

Compiled 196 to 41 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 17.0ms (40.8% of total)
ival-div: 9.0ms (21.6% of total)
ival-sqrt: 5.0ms (12% of total)
ival-sub: 3.0ms (7.2% of total)
ival-add: 3.0ms (7.2% of total)
backward-pass: 2.0ms (4.8% of total)
const: 1.0ms (2.4% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 11 computations (31.3% saved)

prune1.0ms (0%)

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

Compiled 38 to 24 computations (36.8% saved)

simplify140.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 2 (0.0ms)

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

localize117.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
✓accuracy99.4%
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
✓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))))))
✓accuracy99.9%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))
✓accuracy99.5%
(/.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
51.0ms237×0valid
22.0ms5×1valid
8.0ms11×2valid
5.0ms3×5exit
Compiler

Compiled 138 to 21 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 10.0ms (27.5% of total)
ival-div: 6.0ms (16.5% of total)
...c/correct-round.rkt:119:19: 6.0ms (16.5% of total)
ival-sqrt: 5.0ms (13.7% of total)
ival-add: 5.0ms (13.7% of total)
ival-sub: 2.0ms (5.5% of total)
backward-pass: 2.0ms (5.5% of total)
const: 1.0ms (2.7% of total)

series18.0ms (0.2%)

Counts
13 → 228
Calls
Call 1
Inputs
#<alt (* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))>
#<alt (+ a -1/3)>
#<alt (+ 1 (/ rand (sqrt (* (+ a -1/3) 9))))>
#<alt (/ rand (sqrt (* (+ a -1/3) 9)))>
#<alt (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))>
#<alt (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))>
#<alt (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)>
#<alt (- a (/ 1 3))>
#<alt (sqrt (* (+ a -1/3) 9))>
#<alt (* (+ a -1/3) 9)>
#<alt (sqrt (* 9 (- a (/ 1 3))))>
#<alt (/ 1 (sqrt (* 9 (- a (/ 1 3)))))>
#<alt (* 9 (- a (/ 1 3)))>
Outputs
#<alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt -3))))>
#<alt (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))>
#<alt (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt -3))))>
#<alt (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))>
#<alt (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))>
#<alt (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* 3 (sqrt -1/3))>
#<alt (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))>
#<alt (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))>
#<alt -3>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (* 9 a)>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* 9 a)>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* 3 (sqrt -1/3))>
#<alt (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))>
#<alt (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))>
#<alt (* 1/3 (sqrt -3))>
#<alt (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))>
#<alt (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))>
#<alt (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))>
#<alt (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))>
#<alt -3>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (* 9 a)>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* 9 a)>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
Calls

57 calls:

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

rewrite356.0ms (3.3%)

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
02198
112294
286083
0903783
Stop Event
1×iter limit
1×node limit
Counts
13 → 758
Calls
Call 1
Inputs
(* (+ a -1/3) (+ 1 (/ rand (sqrt (* (+ a -1/3) 9)))))
(+ a -1/3)
(+ 1 (/ rand (sqrt (* (+ a -1/3) 9))))
(/ rand (sqrt (* (+ a -1/3) 9)))
(* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(- a (/ 1 3))
(sqrt (* (+ a -1/3) 9))
(* (+ a -1/3) 9)
(sqrt (* 9 (- a (/ 1 3))))
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(* 9 (- a (/ 1 3)))
Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a)) (+.f64 (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal -1/3 binary64))) (+.f64 (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a)) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) a))
(+.f64 (*.f64 (*.f64 a (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) rand) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
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(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a))) (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a)))
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(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))) (/.f64 (*.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))))
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal 1/3 binary64))
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(fma.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) a))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(fma.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) rand (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))) (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))) (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
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(+.f64 (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a)) (+.f64 (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal -1/3 binary64))) (+.f64 (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a)) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) a))
(+.f64 (*.f64 (*.f64 a (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) rand) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (+.f64 (*.f64 (*.f64 a (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) rand) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a))) (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal -1/3 binary64)))) (*.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) a)))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (*.f64 a (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) rand)) (*.f64 #s(literal -1/9 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))) (*.f64 (*.f64 a (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) rand))
(+.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal -1/3 binary64))
(+.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(-.f64 (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) (-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))) (/.f64 (*.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))))
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) a) #s(literal 1/3 binary64))
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(-.f64 (+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(fma.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) a))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(fma.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) rand (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))) (+.f64 a #s(literal 1/3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))) (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))))) (*.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 3/2 binary64))) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))) (+.f64 a #s(literal -1/3 binary64)))))
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(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))))
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(*.f64 #s(literal 3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) #s(literal 1 binary64))
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(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))
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(*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal -3 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
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(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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -3 binary64)))
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(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
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(+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))
(+.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))
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(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 a a)) #s(literal -1 binary64))))
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(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
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(/.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 a a)) #s(literal -1 binary64)) (+.f64 a #s(literal 1/3 binary64)))
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(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 a a)) #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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 9 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 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) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #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) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a)))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))
(*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)))
(*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/27 binary64)) (*.f64 (/.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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64))))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
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(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal -3 binary64))
(*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 9 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)) #s(literal -3 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))

simplify338.0ms (3.1%)

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
03564072
111863499
244213441
081403441
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
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))))))))))
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(- a 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
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a
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1
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(- 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))))
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1
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* 3 (sqrt a))
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(* 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))))))
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(* -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)
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(* 3 (sqrt -1/3))
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(* 3 (sqrt a))
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(* 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))))
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(* -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)))))))
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(* 1/3 (sqrt -3))
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(* 1/3 (sqrt (/ 1 a)))
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(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
-3
(- (* 9 a) 3)
(- (* 9 a) 3)
(- (* 9 a) 3)
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
Outputs
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64))) (*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) a))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) a) (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(*.f64 a (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))) a) (+.f64 (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) #s(literal 0 binary64)) #s(literal 1 binary64))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(*.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -9 binary64)))) a)))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 0 binary64)) a)) a)))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+.f64 #s(literal 1 binary64) (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -3 binary64)))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 rand #s(literal 405/8 binary64)))) (sqrt.f64 #s(literal -3 binary64)))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+.f64 #s(literal 1 binary64) (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand))) (*.f64 #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 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))
(+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))))
(+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/18 binary64))))
(+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 a (*.f64 a a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
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(* 1/3 (* rand (sqrt -3)))
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(* 1/3 (* (sqrt (/ 1 a)) rand))
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(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
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(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
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(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
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(- a 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand))) (*.f64 #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 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))))
(+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
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(+ 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))))))
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(+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 a (*.f64 a a))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
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(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))))))
(* 1/3 (* rand (sqrt -3)))
(*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+.f64 (*.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
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(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+.f64 (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/54 binary64) rand))) (*.f64 #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)))))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
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(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(-.f64 (*.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64)))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 a (*.f64 a a))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a))) (*.f64 #s(literal 1/3 binary64) rand))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* 3 (sqrt -1/3))
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
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(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
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(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
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(* -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))))))
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(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/72 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64)))))))
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))
(- (* 9 a) 3)
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))
(- (* 9 a) 3)
(+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* 3 (sqrt -1/3))
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 a #s(literal 3/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -9 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(*.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -9 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/72 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64)))))))
(* 1/3 (sqrt -3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64)))))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -27/8 binary64) a) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -135/16 binary64) a) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))))))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (+.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))
(+.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))) #s(literal 1/6 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/54 binary64))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/18 binary64))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 a #s(literal -1/36 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (*.f64 a (*.f64 a a))))
-3
#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)))

eval135.0ms (1.2%)

Compiler

Compiled 31329 to 2986 computations (90.5% saved)

prune121.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New109771104
Fresh000
Picked112
Done000
Total109881106
Accuracy
100.0%
Counts
1106 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
▶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))
▶58.4%
(+.f64 #s(literal -1/3 binary64) a)
▶98.4%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
✓99.8%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
▶41.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
82.6%
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
▶97.7%
(*.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 200 to 141 computations (29.5% saved)

simplify57.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓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) 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 #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
2172×fma-define
944×fma-lowering-fma.f32
944×fma-lowering-fma.f64
584×*-lowering-*.f32
584×*-lowering-*.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
022139
159137
2145137
3415137
4812137
51421135
62104135
72482135
82520135
02520135
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
(* (sqrt (+ -1/3 a)) (* 1/3 rand))
(sqrt (+ -1/3 a))
(+ -1/3 a)
-1/3
a
(* 1/3 rand)
1/3
rand
(* a (+ 1 (* (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)
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
(* (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
(* 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 rand (*.f64 #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 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
1
#s(literal 1 binary64)
(/ rand (* 3 (sqrt a)))
(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
rand
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
3
#s(literal 3 binary64)
(sqrt a)
(sqrt.f64 a)

localize148.0ms (1.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.8%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
✓accuracy99.6%
(/.f64 rand (*.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))
✓accuracy99.5%
(*.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%
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓accuracy99.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) a)
✓accuracy100.0%
(sqrt.f64 (+.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))
✓accuracy99.6%
(*.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
109.0ms256×0valid
Compiler

Compiled 148 to 23 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-div: 19.0ms (34.9% of total)
ival-mult: 15.0ms (27.6% of total)
...c/correct-round.rkt:119:19: 8.0ms (14.7% of total)
ival-add: 7.0ms (12.9% of total)
ival-sqrt: 6.0ms (11% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.2%)

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

69 calls:

TimeVariablePointExpression
4.0ms
a
@0
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
1.0ms
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))))

rewrite390.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
3858×/-lowering-/.f32
3858×/-lowering-/.f64
2666×*-lowering-*.f32
2666×*-lowering-*.f64
1578×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02296
113786
2152484
0831384
Stop Event
1×iter limit
1×node limit
Counts
15 → 620
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 rand)
(* a (+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand))))
(+ 1 (* (sqrt (/ 1 a)) (* 1/3 rand)))
(* (sqrt (/ 1 a)) (* 1/3 rand))
(sqrt (/ 1 a))
(* (+ a -1/3) (+ 1 (/ rand (* 3 (sqrt a)))))
(+ a -1/3)
(+ 1 (/ rand (* 3 (sqrt a))))
(/ rand (* 3 (sqrt a)))
(* 3 (sqrt a))
(sqrt a)
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 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 rand #s(literal 3 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))) (neg.f64 (/.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 #s(literal 3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) #s(literal -1/3 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 rand #s(literal 3 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 (+.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 #s(literal 3 binary64) rand)) (+.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 #s(literal 3 binary64) rand)))) (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 rand #s(literal 3 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) (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))) #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 #s(literal 3 binary64) rand))) 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 #s(literal 3 binary64) rand))) a)))
(fma.f64 a #s(literal 1 binary64) (+.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))))
(fma.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))
(fma.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))
(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 rand (*.f64 (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 #s(literal 1 binary64) 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))))
(fma.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 #s(literal 3 binary64) rand)))
(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 #s(literal 3 binary64) rand)))
(fma.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (-.f64 #s(literal 1/9 binary64) (*.f64 #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)))
(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 #s(literal 3 binary64) rand)))
(fma.f64 (+.f64 (*.f64 a a) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand)))
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) rand (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (/.f64 rand #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))
(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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal 3 binary64) rand)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 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 #s(literal 3 binary64) rand)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.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 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) (*.f64 (/.f64 rand #s(literal 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 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) #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 (pow.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))) #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 #s(literal 3 binary64) rand))) 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 #s(literal 3 binary64) rand))) #s(literal 3 binary64)) (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (+.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 3 binary64)) (/.f64 #s(literal 3 binary64) rand))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (pow.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))) #s(literal 2 binary64)) (*.f64 a a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 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 #s(literal 3 binary64) rand))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) #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 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (*.f64 (/.f64 rand #s(literal 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 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) #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 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3/2 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) (*.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 #s(literal 3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) #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 0 binary64) (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) #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 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)))) (-.f64 #s(literal 0 binary64) (-.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 (pow.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))) #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 #s(literal 3 binary64) rand))) #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 #s(literal 3 binary64) rand))) 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 #s(literal 3 binary64) rand))) #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 #s(literal 3 binary64) rand))) 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 3 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 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) #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 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a)) (*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 3/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) a) (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand))) (*.f64 (+.f64 #s(literal -1/3 binary64) a) (+.f64 #s(literal -1/3 binary64) a))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.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 (neg.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 #s(literal 3 binary64) rand))) #s(literal 3 binary64)) (*.f64 a (*.f64 a a)))) (neg.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 #s(literal 3 binary64) rand))) #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 #s(literal 3 binary64) rand))) a)))))
(/.f64 (neg.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 3 binary64)) (/.f64 #s(literal 3 binary64) rand))))) (neg.f64 (-.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 (neg.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 #s(literal 3 binary64) rand))) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (-.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)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) #s(literal 3/2 binary64))) (+.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) #s(literal -1 binary64)) (+.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))))) (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))) (/.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))) (/.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))) (/.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))) (/.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) rand)) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 a) #s(literal -3 binary64))) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))
(neg.f64 (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))
(/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 rand (sqrt.f64 a))))
(/.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))
(/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 rand #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 a)))
(/.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 3 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 rand #s(literal 3 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 a))))
(/.f64 (neg.f64 (/.f64 rand (sqrt.f64 a))) #s(literal -3 binary64))
(pow.f64 (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) rand) (sqrt.f64 a)))
(*.f64 #s(literal -1/3 binary64) (/.f64 rand (-.f64 #s(literal 0 binary64) (sqrt.f64 a))))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)))
(*.f64 rand (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 rand (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) rand) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 a) #s(literal -3 binary64))))
(*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64)) rand)
(*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
(*.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 rand #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 a))))
(*.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))
(*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 a)) (/.f64 rand #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 a #s(literal 1/4 binary64))))
(*.f64 (/.f64 rand (pow.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 a))) (/.f64 (-.f64 #s(literal 0 binary64) rand) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1/4 binary64))) (/.f64 (/.f64 rand #s(literal 3 binary64)) (pow.f64 a #s(literal 1/4 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 a) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 a) #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.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 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(/.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 (-.f64 #s(literal 0 binary64) (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)))

simplify270.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
4582×+-lowering-+.f64
4582×+-lowering-+.f32
4118×*-lowering-*.f32
4118×*-lowering-*.f64
1134×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02882740
19332461
236072423
080562423
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(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)
(* 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))
(* 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)))
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 #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (/.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 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))))) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 (*.f64 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 binary64))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(*.f64 a (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/216 binary64)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) a)) a)))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt -1/3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 a (+.f64 (/.f64 (*.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 (*.f64 (*.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))))
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 (*.f64 rand a) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (*.f64 rand (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (*.f64 rand (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 rand (-.f64 #s(literal 0 binary64) a)) (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64)))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64))) (+.f64 (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/1296 binary64)))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (+.f64 (*.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 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (-.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) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (+.f64 (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)))) (-.f64 #s(literal 0 binary64) a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 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 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(* -1/9 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)))
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (* 1/3 (* (sqrt a) rand)) 1/3))) a)
(/.f64 (+.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal -1/9 binary64))) (*.f64 a (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/.f64 (+.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal -1/9 binary64))) (*.f64 a (+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))) a)
(/ (+ (* -1/9 (* (sqrt a) rand)) (* a (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3))) a)
(/.f64 (+.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal -1/9 binary64))) (*.f64 a (+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #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)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #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)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #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 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #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 0 binary64) a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #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 0 binary64) a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #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 0 binary64) a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))) 1/3)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 #s(literal -1/3 binary64) a))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal -1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal -1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))
(* rand (- (+ (* 1/3 (* (sqrt (/ 1 a)) (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal -1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))
(* 1/3 (* (sqrt (/ 1 a)) (* rand (- a 1/3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (+.f64 #s(literal -1/3 binary64) a))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(*.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal -1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(*.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal -1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (* (sqrt (/ 1 a)) (- a 1/3))))))
(*.f64 rand (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal -1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) a)
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(* 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)

eval173.0ms (1.6%)

Compiler

Compiled 25086 to 2027 computations (91.9% saved)

prune137.0ms (1.3%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1177161193
Fresh202
Picked415
Done011
Total1183181201
Accuracy
100.0%
Counts
1201 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.6%
(/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
34.3%
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
17.8%
(/.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)))))
58.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
97.8%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
▶98.4%
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
97.8%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
✓58.4%
(+.f64 #s(literal -1/3 binary64) a)
▶34.1%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓99.8%
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
97.8%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
17.7%
(*.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))))))
▶41.6%
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) rand)
41.7%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
▶40.2%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
40.2%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
57.8%
a
▶1.6%
#s(literal -1/3 binary64)
Compiler

Compiled 355 to 267 computations (24.8% saved)

simplify203.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal -1/3 binary64) a)
✓cost-diff64
(pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))
✓cost-diff64
(*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))
✓cost-diff64
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) rand)
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) rand)
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
✓cost-diff0
(*.f64 a a)
✓cost-diff0
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓cost-diff128
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) rand)
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
✓cost-diff0
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
Rules
2424×fnmadd-define
1592×fma-define
1508×fnmsub-define
1508×fmsub-define
1412×sum3-define
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
02097
14596
29094
317194
430494
550294
691194
7188594
8364794
9407694
10455393
11528093
12643793
13690293
14759893
15777693
16778093
17781493
18787093
19789493
0789493
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (sqrt a) (* 1/3 rand)) (+ -1/3 a))
(* (sqrt a) (* 1/3 rand))
(sqrt a)
a
(* 1/3 rand)
1/3
rand
(+ -1/3 a)
-1/3
-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
(* (sqrt a) (* 1/3 rand))
(sqrt a)
a
(* 1/3 rand)
1/3
rand
(* (* (pow (+ -1/3 a) 1/2) 1/3) rand)
(* (pow (+ -1/3 a) 1/2) 1/3)
(pow (+ -1/3 a) 1/2)
(+ -1/3 a)
-1/3
a
1/2
1/3
rand
Outputs
(+ (* (sqrt a) (* 1/3 rand)) (+ -1/3 a))
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(* (sqrt a) (* 1/3 rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt a)
(sqrt.f64 a)
a
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
1/3
#s(literal 1/3 binary64)
rand
(+ -1/3 a)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
-1/3
#s(literal -1/3 binary64)
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(- 1/9 (* a a))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
1/9
#s(literal 1/9 binary64)
(* a a)
(*.f64 a a)
a
(/ 1 (- -1/3 a))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
1
#s(literal 1 binary64)
(- -1/3 a)
(-.f64 #s(literal -1/3 binary64) a)
-1/3
#s(literal -1/3 binary64)
(* (sqrt a) (* 1/3 rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt a)
(sqrt.f64 a)
a
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
1/3
#s(literal 1/3 binary64)
rand
(* (* (pow (+ -1/3 a) 1/2) 1/3) rand)
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(* (pow (+ -1/3 a) 1/2) 1/3)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(pow (+ -1/3 a) 1/2)
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ -1/3 a)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
a
1/2
#s(literal 1/2 binary64)
1/3
#s(literal 1/3 binary64)
rand

localize132.0ms (1.2%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64))
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) a)
✓accuracy99.7%
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) rand)
✓accuracy99.3%
(*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 1/3 binary64))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy99.6%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
✓accuracy56.4%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy100.0%
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
✓accuracy99.6%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
✓accuracy99.5%
(*.f64 #s(literal 1/3 binary64) rand)
Results
77.0ms256×0valid
Compiler

Compiled 106 to 21 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-pow: 12.0ms (27.1% of total)
ival-mult: 11.0ms (24.8% of total)
...c/correct-round.rkt:119:19: 10.0ms (22.5% of total)
ival-add: 3.0ms (6.8% of total)
ival-sub: 3.0ms (6.8% of total)
ival-div: 2.0ms (4.5% of total)
ival-sqrt: 2.0ms (4.5% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
12 → 180
Calls
Call 1
Inputs
#<alt (+ (* (sqrt a) (* 1/3 rand)) (+ -1/3 a))>
#<alt (* (sqrt a) (* 1/3 rand))>
#<alt (sqrt a)>
#<alt (* 1/3 rand)>
#<alt (* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))>
#<alt (- 1/9 (* a a))>
#<alt (* a a)>
#<alt (/ 1 (- -1/3 a))>
#<alt (* (* (pow (+ -1/3 a) 1/2) 1/3) rand)>
#<alt (* (pow (+ -1/3 a) 1/2) 1/3)>
#<alt (pow (+ -1/3 a) 1/2)>
#<alt (+ -1/3 a)>
Outputs
#<alt (- (* 1/3 (* (sqrt a) rand)) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt 1/9>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt -3>
#<alt (- (* 9 a) 3)>
#<alt (- (* a (+ 9 (* -27 a))) 3)>
#<alt (- (* a (+ 9 (* a (- (* 81 a) 27)))) 3)>
#<alt (/ -1 a)>
#<alt (/ (- (* 1/3 (/ 1 a)) 1) a)>
#<alt (/ (- (* 1/3 (/ 1 a)) (+ 1 (/ 1/9 (pow a 2)))) a)>
#<alt (/ (- (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))) (+ 1 (/ 1/9 (pow a 2)))) a)>
#<alt (/ -1 a)>
#<alt (* -1 (/ (- 1 (* 1/3 (/ 1 a))) a))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 a))) a))) a))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 a))) a))) a))) a))>
#<alt (* 1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (sqrt -1/3))>
#<alt (+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))>
#<alt (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))>
#<alt (* 1/3 (sqrt a))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))>
#<alt (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/3 (sqrt (/ 1 a)))))))>
#<alt (* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* (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>
#<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)))>
Calls

45 calls:

TimeVariablePointExpression
2.0ms
a
@0
(* (pow (+ -1/3 a) 1/2) 1/3)
1.0ms
a
@-inf
(pow (+ -1/3 a) 1/2)
1.0ms
a
@-inf
(* (pow (+ -1/3 a) 1/2) 1/3)
0.0ms
a
@inf
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
0.0ms
a
@0
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))

rewrite360.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
4644×*-lowering-*.f32
4644×*-lowering-*.f64
2680×/-lowering-/.f32
2680×/-lowering-/.f64
2450×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02056
110556
284555
0903055
Stop Event
1×iter limit
1×node limit
Counts
12 → 528
Calls
Call 1
Inputs
(+ (* (sqrt a) (* 1/3 rand)) (+ -1/3 a))
(* (sqrt a) (* 1/3 rand))
(sqrt a)
(* 1/3 rand)
(* (- 1/9 (* a a)) (/ 1 (- -1/3 a)))
(- 1/9 (* a a))
(* a a)
(/ 1 (- -1/3 a))
(* (* (pow (+ -1/3 a) 1/2) 1/3) rand)
(* (pow (+ -1/3 a) 1/2) 1/3)
(pow (+ -1/3 a) 1/2)
(+ -1/3 a)
Outputs
(+.f64 a (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 #s(literal -1/3 binary64) (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(+.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) a)
(+.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))) (neg.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64))))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 1/9 binary64)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 a a)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))))
(+.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a) #s(literal -1/3 binary64))
(+.f64 (+.f64 a (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))) #s(literal -1/3 binary64))
(+.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) #s(literal 1/9 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 a a)))
(+.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)))
(-.f64 (/.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))))
(-.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))) (/.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (-.f64 #s(literal -1/3 binary64) a))) (/.f64 (*.f64 a a) (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (-.f64 #s(literal -1/3 binary64) a))))
(-.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) a))) (/.f64 (*.f64 a a) (-.f64 #s(literal -1/3 binary64) a)))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) #s(literal 3/2 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))))))))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 a))) (+.f64 a #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) #s(literal 3/2 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (-.f64 (*.f64 a (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))))) (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) #s(literal 3/2 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 a (-.f64 a (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64))))) (+.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))) (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (-.f64 #s(literal -1/3 binary64) a)) (-.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 a a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) #s(literal 3/2 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) #s(literal 3/2 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (-.f64 (*.f64 a (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) #s(literal 3/2 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) #s(literal 3/2 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (+.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (-.f64 (*.f64 a (*.f64 #s(literal 1/3 binary64) rand)) (*.f64 (sqrt.f64 a) (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 a))) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (+.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 a (-.f64 a (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 a a)) (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (-.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))) (*.f64 (-.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (*.f64 (-.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) #s(literal 3/2 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (neg.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 a))) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 a (-.f64 a (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (*.f64 (*.f64 a #s(literal 1/9 binary64)) (*.f64 rand rand)))) (neg.f64 (-.f64 (+.f64 a #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (-.f64 #s(literal -1/3 binary64) a))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 a a) (-.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 a (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 (+.f64 a (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (+.f64 a (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))) (+.f64 a (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))) (*.f64 #s(literal -1/3 binary64) (+.f64 a (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a) (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a)) (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a) #s(literal -1/3 binary64)))))
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(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (-.f64 #s(literal -1/3 binary64) a)))
(*.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal -1/3 binary64) a) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (+.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 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal -1/3 binary64)))))

simplify397.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
3714×*-lowering-*.f32
3714×*-lowering-*.f64
3572×+-lowering-+.f64
3572×+-lowering-+.f32
1744×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02981674
19581498
234391481
372561479
082921479
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(- (* 1/3 (* (sqrt a) rand)) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(* 1/3 (* (sqrt a) rand))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* (sqrt a) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1/9
(+ 1/9 (* -1 (pow a 2)))
(+ 1/9 (* -1 (pow a 2)))
(+ 1/9 (* -1 (pow a 2)))
(* -1 (pow a 2))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
-3
(- (* 9 a) 3)
(- (* a (+ 9 (* -27 a))) 3)
(- (* a (+ 9 (* a (- (* 81 a) 27)))) 3)
(/ -1 a)
(/ (- (* 1/3 (/ 1 a)) 1) a)
(/ (- (* 1/3 (/ 1 a)) (+ 1 (/ 1/9 (pow a 2)))) a)
(/ (- (+ (* 1/3 (/ 1 a)) (* 1/27 (/ 1 (pow a 3)))) (+ 1 (/ 1/9 (pow a 2)))) a)
(/ -1 a)
(* -1 (/ (- 1 (* 1/3 (/ 1 a))) a))
(* -1 (/ (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 a))) a))) a))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 a))) a))) a))) a))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (sqrt -1/3))
(+ (* 1/6 (/ a (sqrt -1/3))) (* 1/3 (sqrt -1/3)))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* 1/3 (sqrt -1/3)) (* a (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/6 (/ 1 (sqrt -1/3))))))
(* 1/3 (sqrt a))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (* 1/3 (sqrt (/ 1 a)))))))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* (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
(- 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)))
Outputs
(- (* 1/3 (* (sqrt a) rand)) 1/3)
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(*.f64 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 (* 1/3 (* (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 (* 1/3 (* (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))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64)))) (-.f64 #s(literal 0 binary64) a))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* (sqrt a) rand))) 1/3)
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* 1/3 (sqrt a)) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* (sqrt a) rand))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
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(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (neg.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) (*.f64 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 (+ (* -1/6 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (+.f64 (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)))

eval124.0ms (1.1%)

Compiler

Compiled 20435 to 1949 computations (90.5% saved)

prune156.0ms (1.4%)

Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New89315908
Fresh4711
Picked235
Done022
Total89927926
Accuracy
100.0%
Counts
926 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.6%
(/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
▶34.1%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
34.3%
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
9.2%
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.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))))))
58.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
97.8%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
✓98.4%
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
97.8%
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a)
▶97.8%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
✓58.4%
(+.f64 #s(literal -1/3 binary64) a)
▶17.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
17.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
9.0%
(*.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)))
9.5%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
9.2%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
28.5%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
17.7%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
8.2%
(*.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 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))))))
97.8%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
41.6%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
40.2%
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
40.2%
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
▶41.7%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
✓40.2%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
▶57.8%
a
✓1.6%
#s(literal -1/3 binary64)
Compiler

Compiled 684 to 461 computations (32.6% saved)

simplify293.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 rand #s(literal 3 binary64))
✓cost-diff0
(+.f64 #s(literal -1/3 binary64) a)
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
✓cost-diff0
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
✓cost-diff896
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.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 1/9 binary64) (*.f64 a a)))
✓cost-diff0
(-.f64 #s(literal -1/3 binary64) a)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
✓cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
✓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))))
Rules
4180×*-lowering-*.f32
4180×*-lowering-*.f64
2808×+-lowering-+.f64
2808×+-lowering-+.f32
1544×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031180
177174
2178163
3578153
41989153
08668153
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ a (* 1/3 (* rand (sqrt a))))
a
(* 1/3 (* rand (sqrt a)))
1/3
(* rand (sqrt a))
rand
(sqrt a)
a
(/ (/ 1 (- -1/3 a)) (/ 1 (- 1/9 (* a a))))
(/ 1 (- -1/3 a))
1
(- -1/3 a)
-1/3
a
(/ 1 (- 1/9 (* a a)))
(- 1/9 (* a a))
1/9
(* a a)
(* (/ 1 (/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a))))) (/ (- 1/9 (* a a)) (+ 1/9 (* a (+ a 1/3)))))
(/ 1 (/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a)))))
1
(/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a))))
(- 1/9 (* a a))
1/9
(* a a)
a
(+ -1/27 (* a (* a a)))
-1/27
(* a (* a a))
(/ (- 1/9 (* a a)) (+ 1/9 (* a (+ a 1/3))))
(+ 1/9 (* a (+ a 1/3)))
(* a (+ a 1/3))
(+ a 1/3)
1/3
(* (sqrt (+ -1/3 a)) (/ rand 3))
(sqrt (+ -1/3 a))
(+ -1/3 a)
-1/3
a
(/ rand 3)
rand
3
Outputs
(+ a (* 1/3 (* rand (sqrt a))))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
a
(* 1/3 (* rand (sqrt a)))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
1/3
#s(literal 1/3 binary64)
(* rand (sqrt a))
(*.f64 rand (sqrt.f64 a))
rand
(sqrt a)
(sqrt.f64 a)
a
(/ (/ 1 (- -1/3 a)) (/ 1 (- 1/9 (* a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) 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)
a
(/ 1 (- 1/9 (* a a)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a 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)
(* (/ 1 (/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a))))) (/ (- 1/9 (* a a)) (+ 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 (/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a)))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
1
#s(literal 1 binary64)
(/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a 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
(+ -1/27 (* 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))
(/ (- 1/9 (* a a)) (+ 1/9 (* a (+ a 1/3))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(+ 1/9 (* a (+ a 1/3)))
(+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 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)
(* (sqrt (+ -1/3 a)) (/ rand 3))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 rand #s(literal 3 binary64)))
(sqrt (+ -1/3 a))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(+ -1/3 a)
(+.f64 a #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
a
(/ rand 3)
(/.f64 rand #s(literal 3 binary64))
rand
3
#s(literal 3 binary64)

localize230.0ms (2.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 rand #s(literal 3 binary64))
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) a)
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
✓accuracy99.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
✓accuracy99.8%
(*.f64 a (*.f64 a a))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))))
✓accuracy53.8%
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
✓accuracy35.2%
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))
✓accuracy100.0%
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
✓accuracy57.3%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy100.0%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
✓accuracy99.7%
(*.f64 rand (sqrt.f64 a))
✓accuracy99.6%
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
Results
131.0ms256×0valid
Compiler

Compiled 199 to 32 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
...c/correct-round.rkt:119:19: 28.0ms (42.4% of total)
ival-mult: 13.0ms (19.7% of total)
ival-div: 12.0ms (18.2% of total)
ival-add: 6.0ms (9.1% of total)
ival-sqrt: 4.0ms (6.1% of total)
ival-sub: 3.0ms (4.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
18 → 264
Calls
Call 1
Inputs
#<alt (+ a (* 1/3 (* rand (sqrt a))))>
#<alt (* 1/3 (* rand (sqrt a)))>
#<alt (* rand (sqrt a))>
#<alt (sqrt a)>
#<alt (/ (/ 1 (- -1/3 a)) (/ 1 (- 1/9 (* a a))))>
#<alt (/ 1 (- -1/3 a))>
#<alt (- -1/3 a)>
#<alt (/ 1 (- 1/9 (* a a)))>
#<alt (* (/ 1 (/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a))))) (/ (- 1/9 (* a a)) (+ 1/9 (* a (+ a 1/3)))))>
#<alt (/ 1 (/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a)))))>
#<alt (/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a))))>
#<alt (- 1/9 (* a a))>
#<alt (* (sqrt (+ -1/3 a)) (/ rand 3))>
#<alt (sqrt (+ -1/3 a))>
#<alt (+ -1/3 a)>
#<alt (/ rand 3)>
#<alt (/ (- 1/9 (* a a)) (+ 1/9 (* a (+ a 1/3))))>
#<alt (* a (* a a))>
Outputs
#<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 (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt -3>
#<alt (- (* 9 a) 3)>
#<alt (- (* a (+ 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 (- (* -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 (* 81 (pow a 2)))>
#<alt (+ 9 (* (pow a 2) (+ 81 (* 729 (pow a 2)))))>
#<alt (+ 9 (* (pow a 2) (+ 81 (* (pow a 2) (+ 729 (* 6561 (pow a 2)))))))>
#<alt (/ -1 (pow a 2))>
#<alt (* -1 (/ (+ 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2)))>
#<alt (/ (- (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow a 2)))) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (+ 1/81 (* 1/729 (/ 1 (pow a 2)))) (pow a 4))) (+ 1 (* 1/9 (/ 1 (pow a 2))))) (pow a 2))>
#<alt (/ -1 (pow a 2))>
#<alt (* -1 (/ (+ 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2)))>
#<alt (/ (- (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow a 2)))) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (+ 1/81 (* 1/729 (/ 1 (pow a 2)))) (pow a 4))) (+ 1 (* 1/9 (/ 1 (pow a 2))))) (pow a 2))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt -1/3>
#<alt (- (* -3 (pow a 2)) 1/3)>
#<alt (- (* (pow a 2) (- (* 9 a) 3)) 1/3)>
#<alt (- (* (pow a 2) (- (* a (+ 9 (* -27 a))) 3)) 1/3)>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* 1/9 (/ 1 (pow a 2))))))>
#<alt (* a (- (/ 1/27 (pow a 3)) (+ 1 (* 1/9 (/ 1 (pow a 2))))))>
#<alt (* a (- (/ 1/27 (pow a 3)) (+ 1 (+ (* 1/9 (/ 1 (pow a 2))) (* 1/81 (/ 1 (pow a 4)))))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* 1/9 (/ 1 (pow a 2))))))>
#<alt (* -1 (* a (- (+ 1 (* 1/9 (/ 1 (pow a 2)))) (/ 1/27 (pow a 3)))))>
#<alt (* -1 (* a (+ 1 (+ (* -1 (/ (- 1/27 (* 1/81 (/ 1 a))) (pow a 3))) (* 1/9 (/ 1 (pow a 2)))))))>
#<alt -3>
#<alt (- (* 27 (pow a 2)) 3)>
#<alt (- (* (pow a 2) (+ 27 (* -81 a))) 3)>
#<alt (- (* (pow a 2) (+ 27 (* a (- (* 729 (pow a 2)) 81)))) 3)>
#<alt (/ -1 a)>
#<alt (/ (- (* 1/9 (/ 1 (pow a 2))) 1) a)>
#<alt (/ (- (* 1/9 (/ 1 (pow a 2))) (+ 1 (/ 1/27 (pow a 3)))) a)>
#<alt (/ (- (+ (* 1/9 (/ 1 (pow a 2))) (* 1/243 (/ 1 (pow a 5)))) (+ 1 (/ 1/27 (pow a 3)))) a)>
#<alt (/ -1 a)>
#<alt (* -1 (/ (- 1 (* 1/9 (/ 1 (pow a 2)))) a))>
#<alt (* -1 (/ (- (+ 1 (/ 1/27 (pow a 3))) (* 1/9 (/ 1 (pow a 2)))) a))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (* 1/243 (/ 1 (pow a 2))) 1/27) (pow a 3)))) (* 1/9 (/ 1 (pow a 2)))) a))>
#<alt 1/9>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* 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 1>
#<alt (+ 1 (* -3 a))>
#<alt (+ 1 (* a (- (* -9 a) 3)))>
#<alt (+ 1 (* a (- (* a (- (* 54 a) 9)) 3)))>
#<alt -1>
#<alt (- (* 1/3 (/ 1 a)) 1)>
#<alt (- (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a))) 1)>
#<alt (- (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a))) (+ 1 (* 2/27 (/ 1 (pow a 3)))))>
#<alt -1>
#<alt (- (* 1/3 (/ 1 a)) 1)>
#<alt (- (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a))) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 2/27 (/ 1 a))) a)) 1/3) a)) 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)>
Calls

66 calls:

TimeVariablePointExpression
5.0ms
a
@0
(/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a))))
1.0ms
a
@-inf
(* (/ 1 (/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a))))) (/ (- 1/9 (* a a)) (+ 1/9 (* a (+ a 1/3)))))
1.0ms
a
@inf
(* (/ 1 (/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a))))) (/ (- 1/9 (* a a)) (+ 1/9 (* a (+ a 1/3)))))
1.0ms
a
@0
(* (/ 1 (/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a))))) (/ (- 1/9 (* a a)) (+ 1/9 (* a (+ a 1/3)))))
0.0ms
a
@-inf
(* a (* a a))

rewrite507.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
4734×/-lowering-/.f32
4734×/-lowering-/.f64
3940×*-lowering-*.f32
3940×*-lowering-*.f64
1638×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031125
120098
2173593
0891693
Stop Event
1×iter limit
1×node limit
Counts
18 → 1779
Calls
Call 1
Inputs
(+ a (* 1/3 (* rand (sqrt a))))
(* 1/3 (* rand (sqrt a)))
(* rand (sqrt a))
(sqrt a)
(/ (/ 1 (- -1/3 a)) (/ 1 (- 1/9 (* a a))))
(/ 1 (- -1/3 a))
(- -1/3 a)
(/ 1 (- 1/9 (* a a)))
(* (/ 1 (/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a))))) (/ (- 1/9 (* a a)) (+ 1/9 (* a (+ a 1/3)))))
(/ 1 (/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a)))))
(/ (- 1/9 (* a a)) (+ -1/27 (* a (* a a))))
(- 1/9 (* a a))
(* (sqrt (+ -1/3 a)) (/ rand 3))
(sqrt (+ -1/3 a))
(+ -1/3 a)
(/ rand 3)
(/ (- 1/9 (* a a)) (+ 1/9 (* a (+ a 1/3))))
(* a (* a a))
Outputs
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) a)
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))) (/.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))))
(-.f64 (/.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) a)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)) a)
(fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) a)
(fma.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)) a)
(fma.f64 (*.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) a)
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a) a)
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand a)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))) (*.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))) (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) (-.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))) (*.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))) (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) (-.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))) (-.f64 (+.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))) (*.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))))
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))) (+.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))) (-.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(/.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))) (*.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (-.f64 (*.f64 a a) (*.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))))) (neg.f64 (-.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))))
(/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a a)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) a))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (-.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))) (*.f64 (-.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))))) (*.f64 (-.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) (-.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))) (*.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (-.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) (*.f64 a a))) (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) a)))
(pow.f64 (/.f64 (-.f64 (+.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64))))) (*.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))) (+.f64 (*.f64 a (*.f64 a a)) (pow.f64 (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))) (-.f64 (*.f64 a a) (*.f64 a (*.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 rand #s(literal 3 binary64)))))) #s(literal -1 binary64))
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(*.f64 (pow.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 a) (*.f64 a (*.f64 a (*.f64 a a)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (+.f64 a #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 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 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.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 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.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))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 a)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 3/2 binary64)))
(pow.f64 a #s(literal 3 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64))
(*.f64 a (*.f64 a a))
(*.f64 (*.f64 a a) a)
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))

simplify356.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
4290×+-lowering-+.f64
4290×+-lowering-+.f32
4144×*-lowering-*.f32
4144×*-lowering-*.f64
1068×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03672020
111761859
240331821
081281821
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(* 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
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
-3
(- (* 9 a) 3)
(- (* a (+ 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
(- (* -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 (* 81 (pow a 2)))
(+ 9 (* (pow a 2) (+ 81 (* 729 (pow a 2)))))
(+ 9 (* (pow a 2) (+ 81 (* (pow a 2) (+ 729 (* 6561 (pow a 2)))))))
(/ -1 (pow a 2))
(* -1 (/ (+ 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2)))
(/ (- (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow a 2)))) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (+ 1/81 (* 1/729 (/ 1 (pow a 2)))) (pow a 4))) (+ 1 (* 1/9 (/ 1 (pow a 2))))) (pow a 2))
(/ -1 (pow a 2))
(* -1 (/ (+ 1 (* 1/9 (/ 1 (pow a 2)))) (pow a 2)))
(/ (- (* -1 (/ (+ 1/9 (* 1/81 (/ 1 (pow a 2)))) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (+ 1/81 (* 1/729 (/ 1 (pow a 2)))) (pow a 4))) (+ 1 (* 1/9 (/ 1 (pow a 2))))) (pow a 2))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
-1/3
(- (* -3 (pow a 2)) 1/3)
(- (* (pow a 2) (- (* 9 a) 3)) 1/3)
(- (* (pow a 2) (- (* a (+ 9 (* -27 a))) 3)) 1/3)
(* -1 a)
(* -1 (* a (+ 1 (* 1/9 (/ 1 (pow a 2))))))
(* a (- (/ 1/27 (pow a 3)) (+ 1 (* 1/9 (/ 1 (pow a 2))))))
(* a (- (/ 1/27 (pow a 3)) (+ 1 (+ (* 1/9 (/ 1 (pow a 2))) (* 1/81 (/ 1 (pow a 4)))))))
(* -1 a)
(* -1 (* a (+ 1 (* 1/9 (/ 1 (pow a 2))))))
(* -1 (* a (- (+ 1 (* 1/9 (/ 1 (pow a 2)))) (/ 1/27 (pow a 3)))))
(* -1 (* a (+ 1 (+ (* -1 (/ (- 1/27 (* 1/81 (/ 1 a))) (pow a 3))) (* 1/9 (/ 1 (pow a 2)))))))
-3
(- (* 27 (pow a 2)) 3)
(- (* (pow a 2) (+ 27 (* -81 a))) 3)
(- (* (pow a 2) (+ 27 (* a (- (* 729 (pow a 2)) 81)))) 3)
(/ -1 a)
(/ (- (* 1/9 (/ 1 (pow a 2))) 1) a)
(/ (- (* 1/9 (/ 1 (pow a 2))) (+ 1 (/ 1/27 (pow a 3)))) a)
(/ (- (+ (* 1/9 (/ 1 (pow a 2))) (* 1/243 (/ 1 (pow a 5)))) (+ 1 (/ 1/27 (pow a 3)))) a)
(/ -1 a)
(* -1 (/ (- 1 (* 1/9 (/ 1 (pow a 2)))) a))
(* -1 (/ (- (+ 1 (/ 1/27 (pow a 3))) (* 1/9 (/ 1 (pow a 2)))) a))
(* -1 (/ (- (+ 1 (* -1 (/ (- (* 1/243 (/ 1 (pow a 2))) 1/27) (pow a 3)))) (* 1/9 (/ 1 (pow a 2)))) a))
1/9
(+ 1/9 (* -1 (pow a 2)))
(+ 1/9 (* -1 (pow a 2)))
(+ 1/9 (* -1 (pow a 2)))
(* -1 (pow a 2))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(* 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)
1
(+ 1 (* -3 a))
(+ 1 (* a (- (* -9 a) 3)))
(+ 1 (* a (- (* a (- (* 54 a) 9)) 3)))
-1
(- (* 1/3 (/ 1 a)) 1)
(- (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a))) 1)
(- (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a))) (+ 1 (* 2/27 (/ 1 (pow a 3)))))
-1
(- (* 1/3 (/ 1 a)) 1)
(- (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a))) 1)
(- (* -1 (/ (- (* -1 (/ (- 1/9 (* 2/27 (/ 1 a))) a)) 1/3) a)) 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)
Outputs
(* 1/3 (* (sqrt a) rand))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) a))
a
(+ a (* 1/3 (* (sqrt a) rand)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (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 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* 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 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
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a
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a
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a
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a
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(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(*.f64 a (*.f64 rand (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(*.f64 a (*.f64 rand (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(*.f64 a (*.f64 rand (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64)))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64))) (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) rand) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal 1/18 binary64))) (+.f64 (*.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/1296 binary64)))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (*.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 a (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 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 #s(literal 0 binary64) a) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))) #s(literal -1/6 binary64)) (+.f64 (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)))))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a #s(literal -1/3 binary64))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(+.f64 a #s(literal -1/3 binary64))
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
1
#s(literal 1 binary64)
(+ 1 (* -3 a))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))
(+ 1 (* a (- (* -9 a) 3)))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64)))))
(+ 1 (* a (- (* a (- (* 54 a) 9)) 3)))
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal -9 binary64) (*.f64 a #s(literal 54 binary64)))))))
-1
#s(literal -1 binary64)
(- (* 1/3 (/ 1 a)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a))
(- (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) a))))
(- (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a))) (+ 1 (* 2/27 (/ 1 (pow a 3)))))
(+.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -2/27 binary64) a)) a) a) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/3 (/ 1 a)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) a))
(- (+ (/ 1/9 (pow a 2)) (* 1/3 (/ 1 a))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) a))))
(- (* -1 (/ (- (* -1 (/ (- 1/9 (* 2/27 (/ 1 a))) a)) 1/3) a)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -2/27 binary64) a)) a)) a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))

eval387.0ms (3.6%)

Compiler

Compiled 76393 to 5292 computations (93.1% saved)

prune329.0ms (3%)

Pruning

41 alts after pruning (33 fresh and 8 done)

PrunedKeptTotal
New2196172213
Fresh11617
Picked145
Done145
Total2199412240
Accuracy
100.0%
Counts
2240 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.6%
(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
33.9%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
16.3%
(/.f64 (/.f64 #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 a #s(literal -1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
28.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
34.3%
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
9.2%
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.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))))))
9.0%
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
9.5%
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
9.2%
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
41.7%
(/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
58.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
8.2%
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
97.8%
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
✓98.4%
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
97.8%
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a)
✓97.8%
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
✓58.4%
(+.f64 #s(literal -1/3 binary64) a)
41.7%
(*.f64 (/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) rand)))
12.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
✓17.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
2.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal -9 binary64) (*.f64 a #s(literal 54 binary64))))))))
3.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64))))))
2.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
2.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
17.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
9.0%
(*.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)))
9.5%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
9.2%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
28.5%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
17.7%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
8.2%
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
97.8%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
2.7%
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 a (*.f64 a #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
41.6%
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
40.2%
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
40.2%
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
✓41.7%
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
40.2%
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
✓40.2%
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
✓57.8%
a
✓1.6%
#s(literal -1/3 binary64)
Compiler

Compiled 1472 to 648 computations (56% saved)

regimes91.0ms (0.8%)

Counts
57 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.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 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 #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 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 a (*.f64 a #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64))))))
(/.f64 (/.f64 #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 a #s(literal -1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal -9 binary64) (*.f64 a #s(literal 54 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.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 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) rand)
(/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.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 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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)))
(*.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 #s(literal 1 binary64) (/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Outputs
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
Calls

4 calls:

37.0ms
(*.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)))
17.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
16.0ms
rand
16.0ms
a
Results
AccuracySegmentsBranch
99.8%1a
99.8%1rand
99.8%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)))
99.8%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes39.0ms (0.4%)

Counts
51 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.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 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 #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 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 a (*.f64 a #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64))))))
(/.f64 (/.f64 #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 a #s(literal -1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal -9 binary64) (*.f64 a #s(literal 54 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.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 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) rand)
(/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
Outputs
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
Calls

2 calls:

17.0ms
a
16.0ms
rand
Results
AccuracySegmentsBranch
98.4%1a
98.4%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes36.0ms (0.3%)

Counts
50 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.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 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 #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 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 a (*.f64 a #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64))))))
(/.f64 (/.f64 #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 a #s(literal -1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal -9 binary64) (*.f64 a #s(literal 54 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.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 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) rand)
(/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))))
Outputs
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
Calls

2 calls:

16.0ms
a
15.0ms
rand
Results
AccuracySegmentsBranch
98.4%1a
98.4%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes35.0ms (0.3%)

Counts
48 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.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 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 #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 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 a (*.f64 a #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64))))))
(/.f64 (/.f64 #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 a #s(literal -1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal -9 binary64) (*.f64 a #s(literal 54 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.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 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) a)
(+.f64 (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 a)) a)
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) rand)
(/.f64 (*.f64 rand (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(/.f64 (pow.f64 (+.f64 #s(literal -1/3 binary64) a) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(/.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3 binary64) rand))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) a)
Outputs
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
Calls

2 calls:

16.0ms
rand
14.0ms
a
Results
AccuracySegmentsBranch
97.8%1a
97.8%1rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.3%)

Counts
40 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.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 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 #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 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 a (*.f64 a #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64))))))
(/.f64 (/.f64 #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 a #s(literal -1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal -9 binary64) (*.f64 a #s(literal 54 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.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 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
Outputs
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))
Calls

2 calls:

12.0ms
a
12.0ms
rand
Results
AccuracySegmentsBranch
66.5%4a
92.5%3rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes61.0ms (0.6%)

Counts
38 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.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 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 #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 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 a (*.f64 a #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64))))))
(/.f64 (/.f64 #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 a #s(literal -1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal -9 binary64) (*.f64 a #s(literal 54 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.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 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.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

1 calls:

57.0ms
rand
Results
AccuracySegmentsBranch
92.5%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts
37 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.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 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 #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 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 a (*.f64 a #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64))))))
(/.f64 (/.f64 #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 a #s(literal -1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal -9 binary64) (*.f64 a #s(literal 54 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.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 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand))
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
Outputs
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))
Calls

1 calls:

11.0ms
rand
Results
AccuracySegmentsBranch
91.5%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
34 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 #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 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 a (*.f64 a #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64))))))
(/.f64 (/.f64 #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 a #s(literal -1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal -9 binary64) (*.f64 a #s(literal 54 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.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 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))
(*.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:

10.0ms
rand
Results
AccuracySegmentsBranch
91.4%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
32 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.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 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (+.f64 #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 1/9 binary64) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 a #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64)))))) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 a (*.f64 a #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a (+.f64 #s(literal -27 binary64) (*.f64 a #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal -9 binary64))))))
(/.f64 (/.f64 #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 a #s(literal -1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal -3 binary64) (*.f64 a (+.f64 #s(literal -9 binary64) (*.f64 a #s(literal 54 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 a (*.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 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/81 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (+.f64 #s(literal -1/27 binary64) (*.f64 a (*.f64 a a))))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 #s(literal 1/9 binary64) (*.f64 a (+.f64 a #s(literal 1/3 binary64))))))
Outputs
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a (+.f64 #s(literal 9 binary64) (*.f64 a #s(literal -27 binary64)))) #s(literal -3 binary64)))
Calls

1 calls:

10.0ms
rand
Results
AccuracySegmentsBranch
71.6%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
13 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
a
(+.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 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(/.f64 (+.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 a a))))
Outputs
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64)))
(+.f64 #s(literal -1/3 binary64) a)
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))
Calls

1 calls:

6.0ms
rand
Results
AccuracySegmentsBranch
69.7%3rand
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

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

2 calls:

3.0ms
rand
3.0ms
a
Results
AccuracySegmentsBranch
58.4%1a
61.4%2rand
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
rand
2.0ms
a
Results
AccuracySegmentsBranch
58.4%1a
58.4%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
a
2.0ms
rand
Results
AccuracySegmentsBranch
57.8%1rand
57.8%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
a
1.0ms
rand
Results
AccuracySegmentsBranch
1.6%1rand
1.6%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch37.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
3.684836467847496e+74
1.0746977913301816e+77
16.0ms
-1.5604099945706092e+93
-7.743010734667115e+89
Results
22.0ms256×0valid
Compiler

Compiled 299 to 241 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (33.5% of total)
ival-div: 4.0ms (26.8% of total)
ival-sqrt: 2.0ms (13.4% of total)
ival-sub: 1.0ms (6.7% of total)
ival-add: 1.0ms (6.7% of total)
const: 1.0ms (6.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
3.684836467847496e+74
1.0746977913301816e+77
17.0ms
-1.5604099945706092e+93
-7.743010734667115e+89
Results
23.0ms256×0valid
Compiler

Compiled 299 to 241 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 5.0ms (32.1% of total)
ival-div: 4.0ms (25.7% of total)
ival-sqrt: 3.0ms (19.3% of total)
ival-sub: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
const: 1.0ms (6.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch81.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
3.684836467847496e+74
1.0746977913301816e+77
53.0ms
-5.447904438945183e+95
-1.3162942222223437e+94
Results
30.0ms240×0valid
Compiler

Compiled 252 to 197 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (36.8% of total)
ival-div: 4.0ms (29.4% of total)
ival-sqrt: 2.0ms (14.7% of total)
ival-sub: 1.0ms (7.4% of total)
ival-add: 1.0ms (7.4% of total)
const: 1.0ms (7.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
3.684836467847496e+74
1.0746977913301816e+77
14.0ms
-5.447904438945183e+95
-1.3162942222223437e+94
Results
22.0ms240×0valid
Compiler

Compiled 252 to 197 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (33.4% of total)
ival-div: 4.0ms (26.7% of total)
ival-sub: 2.0ms (13.4% of total)
ival-sqrt: 2.0ms (13.4% of total)
ival-add: 1.0ms (6.7% of total)
const: 1.0ms (6.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.0749845029751992e+151
8.020289710936506e+157
21.0ms
-1.1645394729656739e+148
-2.7643332124025878e+132
Results
27.0ms304×0valid
Compiler

Compiled 443 to 348 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (32.8% of total)
ival-div: 5.0ms (27.3% of total)
ival-sub: 3.0ms (16.4% of total)
ival-sqrt: 3.0ms (16.4% of total)
ival-add: 2.0ms (10.9% of total)
const: 1.0ms (5.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.781418510230797e+145
7.472045173492893e+148
20.0ms
-1.1645394729656739e+148
-2.7643332124025878e+132
Results
30.0ms288×0valid
Compiler

Compiled 355 to 281 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (43.6% of total)
ival-div: 5.0ms (27.2% of total)
ival-sqrt: 2.0ms (10.9% of total)
ival-sub: 1.0ms (5.4% of total)
ival-add: 1.0ms (5.4% of total)
const: 1.0ms (5.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2.781418510230797e+145
7.472045173492893e+148
Results
12.0ms128×0valid
Compiler

Compiled 155 to 121 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (40.8% of total)
ival-div: 2.0ms (27.2% of total)
ival-sub: 1.0ms (13.6% of total)
ival-add: 1.0ms (13.6% of total)
ival-sqrt: 1.0ms (13.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
34×*-commutative_binary64
22×+-commutative_binary64
6×sub-neg_binary64
6×if-if-or-not_binary32
4×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079208
1119208
2126208
3130208
4132208
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -780000000000000021350457019304812818062681972213347597766913333917797803549930490681098240 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64))) (if (<=.f64 rand #s(literal 22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -880000000000000006691047076269543113712096576720681646768983853644754447115388725476982784 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 21499999999999998922773434125280237962302422983401872864335333582400550600704 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 -22999999999999999723964848805763130026395911378327617785240965832684482262429241464606020337664 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 4300000000000000105942295676854102700852903064912895077307665473038677180416 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -20999999999999998942457719432627585338389414676296292042037510260168864399904375195244594987008 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 3199999999999999845274201977689350332326274905696427365350618232436801142784 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -359999999999999995296563276357558414637441823070184214674315759346118440367343796535695692718198222936491560729473955618533156002732179456 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 649999999999999971916104939728745337062066139527609726905967871822826776880351796550849180162488397262648748827097743979974356480562636995357757770039296 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 -179999999999999997978809622573903506794678565551477627251360221155199829825996295905050741977254784380840385584594620233062184013877768880128 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 1359999999999999962977045654745131796615420178269915189052985500196108524915158463327188879233232704016550365418533105428298767875961215215520972800 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))))
(if (<=.f64 rand #s(literal 43999999999999997612233942459079839567904188855324391394523360186229526838795184392098636578143143618202907884964167422764591009257541664961239973888 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 (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 #s(literal 1/3 binary64) rand)))
(*.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 #s(literal -1/3 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (+.f64 #s(literal -1/3 binary64) a) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 a)))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))))
(if (<=.f64 rand #s(literal -780000000000000021350457019304812818062681972213347597766913333917797803549930490681098240 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64))) (if (<=.f64 rand #s(literal 22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 rand #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -880000000000000006691047076269543113712096576720681646768983853644754447115388725476982784 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) (if (<=.f64 rand #s(literal 21499999999999998922773434125280237962302422983401872864335333582400550600704 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 -22999999999999999723964848805763130026395911378327617785240965832684482262429241464606020337664 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 4300000000000000105942295676854102700852903064912895077307665473038677180416 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (sqrt.f64 a) (/.f64 rand #s(literal 3 binary64)))))
(if (<=.f64 rand #s(literal -20999999999999998942457719432627585338389414676296292042037510260168864399904375195244594987008 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand #s(literal 3199999999999999845274201977689350332326274905696427365350618232436801142784 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -359999999999999995296563276357558414637441823070184214674315759346118440367343796535695692718198222936491560729473955618533156002732179456 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 649999999999999971916104939728745337062066139527609726905967871822826776880351796550849180162488397262648748827097743979974356480562636995357757770039296 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 -359999999999999995296563276357558414637441823070184214674315759346118440367343796535695692718198222936491560729473955618533156002732179456 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 649999999999999971916104939728745337062066139527609726905967871822826776880351796550849180162488397262648748827097743979974356480562636995357757770039296 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 -179999999999999997978809622573903506794678565551477627251360221155199829825996295905050741977254784380840385584594620233062184013877768880128 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (+.f64 (*.f64 a #s(literal 9 binary64)) #s(literal -3 binary64))) (if (<=.f64 rand #s(literal 1359999999999999962977045654745131796615420178269915189052985500196108524915158463327188879233232704016550365418533105428298767875961215215520972800 binary64)) (+.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) #s(literal -3 binary64))))
(if (<=.f64 rand #s(literal 43999999999999997612233942459079839567904188855324391394523360186229526838795184392098636578143143618202907884964167422764591009257541664961239973888 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)

soundness2.1s (19.8%)

Rules
4588×*-lowering-*.f32
4588×*-lowering-*.f64
4582×+-lowering-+.f64
4582×+-lowering-+.f32
4290×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02981674
19581498
234391481
372561479
082921479
03672020
111761859
240331821
081281821
02882740
19332461
236072423
080562423
01414
13313
28512
322812
455312
599912
6161312
7281812
8739612
9783512
10799212
0811912
02296
113786
2152484
0831384
03564072
111863499
244213441
081403441
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
Compiler

Compiled 968 to 619 computations (36.1% saved)

preprocess93.0ms (0.9%)

Compiler

Compiled 502 to 182 computations (63.7% saved)

end0.0ms (0%)

Profiling

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