Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C

Time bar (total: 1.3s)

analyze12.0ms (0.9%)

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%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (71% of total)
ival-div: 1.0ms (35.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample606.0ms (46.1%)

Results
358.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-mult: 76.0ms (46.4% of total)
ival-div: 75.0ms (45.8% of total)
const: 10.0ms (6.1% of total)
backward-pass: 3.0ms (1.8% of total)
Bogosity

preprocess45.0ms (3.4%)

Algorithm
2×egg-herbie
Rules
516×times-frac
316×associate-*r*
312×associate-*l*
252×associate-/r*
156×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
14230
210430
332830
497030
5158830
6182030
7185530
8189330
9192530
055
185
2105
0105
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ x (* y 2))
Outputs
(/ x (* y 2))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
Call 2
Inputs
(/ x (* y 2))
(/ (neg x) (* y 2))
(/ x (* (neg y) 2))
(neg (/ (neg x) (* y 2)))
(neg (/ x (* (neg y) 2)))
(/ y (* x 2))
Outputs
(/ x (* y 2))
(* x (/ 1/2 y))
(/ (neg x) (* y 2))
(* x (/ -1/2 y))
(/ x (* (neg y) 2))
(* x (/ -1/2 y))
(neg (/ (neg x) (* y 2)))
(* x (/ 1/2 y))
(neg (/ x (* (neg y) 2)))
(* x (/ 1/2 y))
(/ y (* x 2))
(* y (/ 1/2 x))
Symmetry

(negabs x)

(negabs y)

explain55.0ms (4.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 x (*.f64 y #s(literal 2 binary64)))
00-0-x
00-0-(*.f64 y #s(literal 2 binary64))
00-0-y
00-0-#s(literal 2 binary64)
Results
36.0ms512×0valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (52.7% of total)
ival-div: 5.0ms (37.6% of total)
const: 1.0ms (7.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize32.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff0
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
✓accuracy100.0%
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
Rules
10×/-lowering-/.f32
10×/-lowering-/.f64
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1711
21011
01011
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (/ x 2) y)
(/ x 2)
x
2
y
Outputs
(/ (/ x 2) y)
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
y
Results
16.0ms256×0valid
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 6.0ms (97.3% of total)
const: 1.0ms (16.2% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.4%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (/ x 2)>
#<alt (/ (/ x 2) y)>
Outputs
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (/ x 2) y)
1.0ms
x
@0
(/ (/ x 2) y)
0.0ms
y
@0
(/ (/ x 2) y)
0.0ms
y
@inf
(/ (/ x 2) y)
0.0ms
x
@-inf
(/ x 2)

rewrite338.0ms (25.7%)

Algorithm
1×batch-egg-rewrite
Rules
2288×/-lowering-/.f32
2288×/-lowering-/.f64
1976×*-lowering-*.f32
1976×*-lowering-*.f64
1112×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1248
21228
36278
432058
092208
Stop Event
1×iter limit
1×node limit
Counts
2 → 294
Calls
Call 1
Inputs
(/ x 2)
(/ (/ x 2) y)
Outputs
(+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 2 binary64)))) (log.f64 (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)) (/.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(neg.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (/.f64 x y)) (/.f64 y #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (/.f64 x #s(literal 2 binary64))) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y))) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) y) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 y #s(literal 1/2 binary64))) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 1/2 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 y #s(literal 1/2 binary64)) y)))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64))) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (/.f64 y #s(literal 1/2 binary64)) x) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64))) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (/.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y))) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 x y)))) (/.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (/.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x #s(literal 2 binary64)))) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64))) (*.f64 y (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 y x) (*.f64 y (/.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64))) (*.f64 y (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 y (/.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y))) (*.f64 y (/.f64 #s(literal 2 binary64) (/.f64 x y)))) (/.f64 y (*.f64 y (/.f64 #s(literal 2 binary64) (/.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) y)) (/.f64 y x)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(neg.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))
(/.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 x x))))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (neg.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) y))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (neg.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (neg.f64 (*.f64 y (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 y #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64))) (*.f64 y (-.f64 #s(literal 0 binary64) x))) (*.f64 y (/.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64))) (*.f64 (/.f64 y #s(literal 1/2 binary64)) x)) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 y #s(literal 1/2 binary64)) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64))) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y))) (/.f64 y #s(literal 1/2 binary64))) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (*.f64 y (/.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x #s(literal 2 binary64)))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y))) y) (*.f64 y (/.f64 #s(literal 2 binary64) (/.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x y))) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) y))) (/.f64 y x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) y))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (*.f64 (/.f64 y #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) x)
(/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (*.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (*.f64 x x) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64))) (*.f64 y (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (*.f64 y (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64))) (*.f64 (/.f64 y #s(literal 1/2 binary64)) x))) (neg.f64 (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 x #s(literal 2 binary64))))) (neg.f64 (*.f64 (/.f64 y #s(literal 1/2 binary64)) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64))) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y))) (/.f64 y #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y))) y)) (neg.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (*.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 x x) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64))) (*.f64 y x))) (neg.f64 (*.f64 y (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x #s(literal 2 binary64))))) (*.f64 y y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x y)))) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 y x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) y))) (/.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))) (-.f64 (*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))) (-.f64 (*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) y))
(*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) y) (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) y) (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) y))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) y)

simplify8.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
6×*-commutative
6×/-lowering-/.f32
6×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06156
19156
211156
312156
012156
Stop Event
1×iter limit
1×saturated
Counts
36 → 36
Calls
Call 1
Inputs
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)

eval63.0ms (4.8%)

Compiler

Compiled 4085 to 2525 computations (38.2% saved)

prune44.0ms (3.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New3300330
Fresh000
Picked011
Done000
Total3301331
Accuracy
100.0%
Counts
331 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.6%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
Outputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Calls

4 calls:

4.0ms
(*.f64 y #s(literal 2 binary64))
1.0ms
y
1.0ms
x
1.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
100.0%1(*.f64 y #s(literal 2 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness0.0ms (0%)

Stop Event
1×done
Compiler

Compiled 7 to 5 computations (28.6% saved)

preprocess96.0ms (7.3%)

Remove

(negabs y)

(negabs x)

Compiler

Compiled 84 to 60 computations (28.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...