Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

Time bar (total: 8.1s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 7 computations (30% saved)

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

sample762.0ms (9.5%)

Results
459.0ms7633×0valid
45.0ms147×3valid
45.0ms185×2valid
28.0ms291×1valid
Precisions
Click to see histograms. Total time spent on operations: 272.0ms
ival-sub: 94.0ms (34.6% of total)
ival-div: 80.0ms (29.4% of total)
ival-add: 71.0ms (26.1% of total)
backward-pass: 15.0ms (5.5% of total)
const: 12.0ms (4.4% of total)
Bogosity

preprocess137.0ms (1.7%)

Algorithm
egg-herbie
Rules
1382×fnmadd-define
1274×fmsub-define
1268×fnmsub-define
1178×sum5-define
1078×fmm-def
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01948
15142
215842
355142
4155636
5370736
6488436
7498836
067
1127
2237
3467
4927
52277
66547
712006
820876
926566
1028066
028066
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ x (/ (- x y) 2))
Outputs
(+ x (/ (- x y) 2))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
Call 2
Inputs
(+ x (/ (- x y) 2))
(+ (neg x) (/ (- (neg x) y) 2))
(+ x (/ (- x (neg y)) 2))
(neg (+ (neg x) (/ (- (neg x) y) 2)))
(neg (+ x (/ (- x (neg y)) 2)))
(+ y (/ (- y x) 2))
Outputs
(+ x (/ (- x y) 2))
(fnmsub x -3/2 (* y 1/2))
(+ (neg x) (/ (- (neg x) y) 2))
(fnmsub x 3/2 (* y 1/2))
(+ x (/ (- x (neg y)) 2))
(fma (+ x y) 1/2 x)
(neg (+ (neg x) (/ (- (neg x) y) 2)))
(fma (+ x y) 1/2 x)
(neg (+ x (/ (- x (neg y)) 2)))
(fnmsub x 3/2 (* y 1/2))
(+ y (/ (- y x) 2))
(fnmsub x 1/2 (* y -3/2))

explain81.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 x y)
00-0-(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 x y) #s(literal 2 binary64))
Results
50.0ms468×0valid
3.0ms12×3valid
3.0ms14×2valid
2.0ms18×1valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 10.0ms (49.5% of total)
ival-div: 4.0ms (19.8% of total)
ival-sub: 4.0ms (19.8% of total)
const: 1.0ms (4.9% of total)
backward-pass: 1.0ms (4.9% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify66.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) #s(literal 2 binary64))
cost-diff0
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Rules
756×sum5-define
664×fnmadd-define
596×sum4-define
580×fmsub-define
578×fnmsub-define
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0618
11218
22318
34618
49218
522718
665418
7120017
8208717
9265617
10280617
0280617
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ x (/ (- x y) 2))
x
(/ (- x y) 2)
(- x y)
y
2
Outputs
(+ x (/ (- x y) 2))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
x
(/ (- x y) 2)
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(- x y)
(-.f64 x y)
y
2
#s(literal 2 binary64)

localize35.0ms (0.4%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
accuracy100.0%
(-.f64 x y)
accuracy99.9%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Results
24.0ms234×0valid
1.0ms3valid
1.0ms2valid
1.0ms1valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (29.4% of total)
ival-sub: 2.0ms (29.4% of total)
backward-pass: 1.0ms (14.7% of total)
ival-add: 1.0ms (14.7% of total)
const: 0.0ms (0% of total)

series3.0ms (0%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (+ x (/ (- x y) 2))>
#<alt (/ (- x y) 2)>
#<alt (- x y)>
Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
Calls

18 calls:

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

rewrite344.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
3066×*-lowering-*.f32
3066×*-lowering-*.f64
2724×/-lowering-/.f32
2724×/-lowering-/.f64
2152×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0615
14514
242314
3557414
0829714
Stop Event
iter limit
node limit
Counts
3 → 295
Calls
Call 1
Inputs
(+ x (/ (- x y) 2))
(/ (- x y) 2)
(- x y)
Outputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)
(+.f64 (/.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) x))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (neg.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))))))
(+.f64 (+.f64 x (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal -2 binary64)))
(-.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))
(-.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 2 binary64)) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))))
(-.f64 (+.f64 x (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)))
(fma.f64 x #s(literal 1 binary64) (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (neg.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))))))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (neg.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))))))
(fma.f64 #s(literal 1 binary64) x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))))) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 x y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))) #s(literal 1/64 binary64)))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))) #s(literal 1/64 binary64))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))) #s(literal 1/64 binary64))) (*.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))))))))
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/16 binary64))) (*.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (*.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))))) (*.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)))
(/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x) (-.f64 (/.f64 y #s(literal 2 binary64)) x)) (*.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 2 binary64)) x)))))
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(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 x y) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 y y))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (+.f64 (*.f64 x x) (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))

simplify188.0ms (2.3%)

Algorithm
egg-herbie
Rules
1944×*-lowering-*.f32
1944×*-lowering-*.f64
1368×fma-define
1288×sum5-define
1108×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058315
1185315
2558315
31629297
44972297
57556297
08018297
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

eval48.0ms (0.6%)

Compiler

Compiled 8380 to 1040 computations (87.6% saved)

prune190.0ms (2.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New35611367
Fresh000
Picked011
Done000
Total35612368
Accuracy
99.9%
Counts
368 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.3%
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
48.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))))
51.0%
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (+.f64 x y)))
87.1%
(+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))))
99.9%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
99.8%
(+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
99.7%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
48.1%
(+.f64 x (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -1/2 binary64))))
57.9%
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
48.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))))
52.5%
(*.f64 #s(literal 3/2 binary64) x)
49.3%
(*.f64 #s(literal -1/2 binary64) y)
Compiler

Compiled 359 to 208 computations (42.1% saved)

simplify184.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))
cost-diff0
(-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))
cost-diff0
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
cost-diff0
(-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
cost-diff128
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))
cost-diff512
(/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))
cost-diff512
(+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff128
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
cost-diff640
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
cost-diff640
(/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64))
cost-diff640
(+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
Rules
2308×*-lowering-*.f32
2308×*-lowering-*.f64
1712×+-lowering-+.f64
1712×+-lowering-+.f32
1544×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028224
180210
2221141
3902137
44178135
08317135
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2))
x
(/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2)
(* (+ x y) (* (- x y) (/ 1 (+ x y))))
(+ x y)
y
(* (- x y) (/ 1 (+ x y)))
(- x y)
(/ 1 (+ x y))
1
2
(* -1/2 y)
-1/2
y
(+ x (* -1/2 y))
x
(* -1/2 y)
-1/2
y
(+ x (/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y))))
x
(/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y)))
(- (* x (/ 2 y)) 2)
(* x (/ 2 y))
(/ 2 y)
2
y
(* 2 (/ 2 y))
(/ (- (/ (- x y) (/ 4 (- x y))) (* x x)) (- (/ (- x y) 2) x))
(- (/ (- x y) (/ 4 (- x y))) (* x x))
(/ (- x y) (/ 4 (- x y)))
(- x y)
x
y
(/ 4 (- x y))
4
(* x x)
(- (/ (- x y) 2) x)
(/ (- x y) 2)
2
Outputs
(+ x (/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) x))
x
(/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2)
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(* (+ x y) (* (- x y) (/ 1 (+ x y))))
(-.f64 x y)
(+ x y)
(+.f64 x y)
y
(* (- x y) (/ 1 (+ x y)))
(/.f64 (-.f64 x y) (+.f64 x y))
(- x y)
(-.f64 x y)
(/ 1 (+ x y))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(* -1/2 y)
(/.f64 y #s(literal -2 binary64))
-1/2
#s(literal -1/2 binary64)
y
(+ x (* -1/2 y))
(-.f64 x (/.f64 y #s(literal 2 binary64)))
x
(* -1/2 y)
(/.f64 y #s(literal -2 binary64))
-1/2
#s(literal -1/2 binary64)
y
(+ x (/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y))))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 3/2 binary64) x))
x
(/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(- (* x (/ 2 y)) 2)
(+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64))
(* x (/ 2 y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
(* 2 (/ 2 y))
(/.f64 #s(literal 4 binary64) y)
(/ (- (/ (- x y) (/ 4 (- x y))) (* x x)) (- (/ (- x y) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
(- (/ (- x y) (/ 4 (- x y))) (* x x))
(-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))
(/ (- x y) (/ 4 (- x y)))
(/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))
(- x y)
(-.f64 x y)
x
y
(/ 4 (- x y))
(/.f64 #s(literal 4 binary64) (-.f64 x y))
4
#s(literal 4 binary64)
(* x x)
(*.f64 x x)
(- (/ (- x y) 2) x)
(-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)
(/ (- x y) 2)
(/.f64 (-.f64 x y) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize201.0ms (2.5%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)
accuracy99.8%
(/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))
accuracy73.9%
(-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))
accuracy50.9%
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))
accuracy99.9%
(+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))))
accuracy99.7%
(*.f64 x (/.f64 #s(literal 2 binary64) y))
accuracy87.4%
(/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))
accuracy100.0%
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) y)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x y))
accuracy100.0%
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
accuracy99.9%
(+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
accuracy99.7%
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
Results
87.0ms210×0valid
14.0ms10×3valid
14.0ms16×2valid
11.0ms18×1valid
6.0ms5exit
Compiler

Compiled 209 to 29 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 22.0ms (34.9% of total)
ival-mult: 21.0ms (33.3% of total)
ival-sub: 7.0ms (11.1% of total)
ival-add: 7.0ms (11.1% of total)
backward-pass: 5.0ms (7.9% of total)
const: 1.0ms (1.6% of total)

series38.0ms (0.5%)

Counts
17 → 384
Calls
Call 1
Inputs
#<alt (+ x (/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2))>
#<alt (/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2)>
#<alt (* (+ x y) (* (- x y) (/ 1 (+ x y))))>
#<alt (* (- x y) (/ 1 (+ x y)))>
#<alt (* -1/2 y)>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y))))>
#<alt (/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y)))>
#<alt (* 2 (/ 2 y))>
#<alt (- (* x (/ 2 y)) 2)>
#<alt (/ (- (/ (- x y) (/ 4 (- x y))) (* x x)) (- (/ (- x y) 2) x))>
#<alt (- (/ (- x y) (/ 4 (- x y))) (* x x))>
#<alt (/ (- x y) (/ 4 (- x y)))>
#<alt (- x y)>
#<alt (/ 1 (+ x y))>
#<alt (* x (/ 2 y))>
#<alt (- (/ (- x y) 2) x)>
Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt -1>
#<alt (- (* 2 (/ x y)) 1)>
#<alt (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)>
#<alt (- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))>
#<alt (- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ y x))) (/ y x))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ y x)))>
#<alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))>
#<alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt -2>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (* 2 (/ x y))>
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* 2 (/ x y))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* 2 (/ x y))>
#<alt (/ (+ (* -2 y) (* 2 x)) y)>
#<alt (/ (+ (* -2 y) (* 2 x)) y)>
#<alt (/ (+ (* -2 y) (* 2 x)) y)>
#<alt -2>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (- (* 2 (/ x y)) 2)>
#<alt -2>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (- (+ 3/2 (/ y x)) (* 3/2 (/ y x))))>
#<alt (* x (- (+ 3/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) (+ (* 3/2 (/ y x)) (/ (* y (- y (* 3/2 y))) (pow x 2)))))>
#<alt (* x (- (+ 3/2 (+ (* -1 (/ (* y (- (* -1/2 (pow y 2)) (* y (- y (* 3/2 y))))) (pow x 3))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ (* 3/2 (/ y x)) (/ (* y (- y (* 3/2 y))) (pow x 2)))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (- y (* 3/2 y)) x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (- (* 1/2 (pow y 2)) (* -1 (* y (- y (* 3/2 y))))) x))) (* 3/2 y)) x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (- (* 1/2 (pow y 2)) (* -1 (* y (- y (* 3/2 y)))))) x)) (* 1/2 (pow y 2))) (* -1 (* y (- y (* 3/2 y))))) x))) (* 3/2 y)) x)) 3/2)))>
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 x) x))>
#<alt (- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) x))) (* y (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))))) (/ (pow x 2) (- (* 1/2 x) x)))>
#<alt (- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) x))) (* y (- (+ (* -1/2 (/ x (- (* 1/2 x) x))) (* y (- (* 1/4 (/ 1 (- (* 1/2 x) x))) (* -1/2 (/ (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))) (- (* 1/2 x) x)))))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))))) (/ (pow x 2) (- (* 1/2 x) x)))>
#<alt (- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) x))) (* y (- (+ (* -1/2 (/ x (- (* 1/2 x) x))) (* y (- (+ (* 1/4 (/ 1 (- (* 1/2 x) x))) (* 1/2 (/ (* y (- (* 1/4 (/ 1 (- (* 1/2 x) x))) (* -1/2 (/ (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))) (- (* 1/2 x) x))))) (- (* 1/2 x) x)))) (* -1/2 (/ (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))) (- (* 1/2 x) x)))))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))))) (/ (pow x 2) (- (* 1/2 x) x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 2 (/ x y)) (+ 1/2 (* 1/2 (/ x y)))))>
#<alt (* y (- (+ (* -2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow y 2))) (* 2 (/ x y))) (+ 1/2 (+ (* -2 (/ (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))) (pow y 2))) (* 1/2 (/ x y))))))>
#<alt (* y (- (+ (* -2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow y 2))) (+ (* 2 (/ x y)) (* 2 (/ (* (- (* -2 (- (* 1/4 (pow x 2)) (pow x 2))) (* -2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))))) (- (* 1/2 x) x)) (pow y 3))))) (+ 1/2 (+ (* -2 (/ (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))) (pow y 2))) (* 1/2 (/ x y))))))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (* 2 x) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 2 (- (* 1/4 (pow x 2)) (pow x 2))) (* 2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))))) y)) (* 2 x)) (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (- (* 1/4 (pow x 2)) (pow x 2))) (* 2 (/ (* (- (* 1/2 x) x) (- (* 2 (- (* 1/4 (pow x 2)) (pow x 2))) (* 2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x)))))) y))) (* 2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))))) y)) (* 2 x)) (* 1/2 x)) y)))))>
#<alt (* 1/4 (pow y 2))>
#<alt (+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))>
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))>
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))>
#<alt (* -3/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (/ y x)) 3/4))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))>
#<alt (* -3/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (/ y x)) 3/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))>
#<alt (- (* 1/4 (pow x 2)) (pow x 2))>
#<alt (- (+ (* -1/2 (* x y)) (* 1/4 (pow x 2))) (pow x 2))>
#<alt (- (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) (pow x 2))>
#<alt (- (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) (pow x 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))>
#<alt (* (pow y 2) (- (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))) (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))) (/ (pow x 2) (pow y 2))))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))>
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y))))>
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y))))>
#<alt (* 1/4 (pow y 2))>
#<alt (+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))>
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x))))>
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))>
#<alt (* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x))))>
#<alt (* 1/4 (pow x 2))>
#<alt (+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))>
#<alt (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))>
#<alt (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))>
#<alt (* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))>
#<alt (* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))>
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))>
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ x (pow y 2))) (/ 1 y))>
#<alt (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ y x))) x)>
#<alt (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)>
#<alt (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ y x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (/ x y))) y)>
#<alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)>
#<alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ x y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 x) (* -1/2 y))>
#<alt (+ (* -1/2 x) (* -1/2 y))>
#<alt (+ (* -1/2 x) (* -1/2 y))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/2 (/ y x)) 1/2))>
#<alt (* x (- (* -1/2 (/ y x)) 1/2))>
#<alt (* x (- (* -1/2 (/ y x)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))>
#<alt (- (* 1/2 x) x)>
#<alt (- (+ (* -1/2 y) (* 1/2 x)) x)>
#<alt (- (+ (* -1/2 y) (* 1/2 x)) x)>
#<alt (- (+ (* -1/2 y) (* 1/2 x)) x)>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))>
#<alt (* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))>
#<alt (* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))>
Calls

96 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
(* (- x y) (/ 1 (+ x y)))
2.0ms
y
@0
(/ (- x y) (/ 4 (- x y)))
1.0ms
x
@-inf
(+ x (/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y))))
1.0ms
y
@0
(/ (- (/ (- x y) (/ 4 (- x y))) (* x x)) (- (/ (- x y) 2) x))
1.0ms
x
@0
(/ (- (/ (- x y) (/ 4 (- x y))) (* x x)) (- (/ (- x y) 2) x))

rewrite432.0ms (5.4%)

Algorithm
batch-egg-rewrite
Rules
5110×*-lowering-*.f32
5110×*-lowering-*.f64
3292×/-lowering-/.f32
3292×/-lowering-/.f64
2612×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028148
121297
2230092
01037692
Stop Event
iter limit
node limit
Counts
17 → 685
Calls
Call 1
Inputs
(+ x (/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2))
(/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2)
(* (+ x y) (* (- x y) (/ 1 (+ x y))))
(* (- x y) (/ 1 (+ x y)))
(* -1/2 y)
(+ x (* -1/2 y))
(+ x (/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y))))
(/ (- (* x (/ 2 y)) 2) (* 2 (/ 2 y)))
(* 2 (/ 2 y))
(- (* x (/ 2 y)) 2)
(/ (- (/ (- x y) (/ 4 (- x y))) (* x x)) (- (/ (- x y) 2) x))
(- (/ (- x y) (/ 4 (- x y))) (* x x))
(/ (- x y) (/ 4 (- x y)))
(- x y)
(/ 1 (+ x y))
(* x (/ 2 y))
(- (/ (- x y) 2) x)
Outputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)
(+.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)))))
(+.f64 (fma.f64 (-.f64 x y) (/.f64 (/.f64 (-.f64 x y) #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (neg.f64 (*.f64 (/.f64 x (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) x))) (fma.f64 (neg.f64 (/.f64 x (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))) x (*.f64 (/.f64 x (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) x)))
(+.f64 (fma.f64 (-.f64 x y) (/.f64 (/.f64 (-.f64 x y) #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (*.f64 x x))))
(+.f64 (fma.f64 (-.f64 x y) (/.f64 (/.f64 (-.f64 x y) #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))))) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 (-.f64 x y) (/.f64 (/.f64 (-.f64 x y) #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (neg.f64 (*.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)))))) (fma.f64 (neg.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))) (*.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))))))
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(fma.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))) (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))) (neg.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))) (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))))))

simplify352.0ms (4.4%)

Algorithm
egg-herbie
Rules
3380×*-lowering-*.f32
3380×*-lowering-*.f64
2374×+-lowering-+.f64
2374×+-lowering-+.f32
1826×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05063570
117663134
258543077
082073077
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
-1
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(+ x (* -1/2 y))
x
(* x (+ 1 (* -1/2 (/ y x))))
(* x (+ 1 (* -1/2 (/ y x))))
(* x (+ 1 (* -1/2 (/ y x))))
x
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
x
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(* -1/2 y)
(* y (- (/ x y) 1/2))
(* y (- (/ x y) 1/2))
(* y (- (/ x y) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
-2
(- (* 2 (/ x y)) 2)
(- (* 2 (/ x y)) 2)
(- (* 2 (/ x y)) 2)
(* 2 (/ x y))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))
(* 2 (/ x y))
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* 2 (/ x y))
(/ (+ (* -2 y) (* 2 x)) y)
(/ (+ (* -2 y) (* 2 x)) y)
(/ (+ (* -2 y) (* 2 x)) y)
-2
(- (* 2 (/ x y)) 2)
(- (* 2 (/ x y)) 2)
(- (* 2 (/ x y)) 2)
-2
(- (* 2 (/ x y)) 2)
(- (* 2 (/ x y)) 2)
(- (* 2 (/ x y)) 2)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (- (+ 3/2 (/ y x)) (* 3/2 (/ y x))))
(* x (- (+ 3/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) (+ (* 3/2 (/ y x)) (/ (* y (- y (* 3/2 y))) (pow x 2)))))
(* x (- (+ 3/2 (+ (* -1 (/ (* y (- (* -1/2 (pow y 2)) (* y (- y (* 3/2 y))))) (pow x 3))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ (* 3/2 (/ y x)) (/ (* y (- y (* 3/2 y))) (pow x 2)))))
(* 3/2 x)
(* -1 (* x (- (* -1 (/ (- y (* 3/2 y)) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (- (* 1/2 (pow y 2)) (* -1 (* y (- y (* 3/2 y))))) x))) (* 3/2 y)) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (- (* 1/2 (pow y 2)) (* -1 (* y (- y (* 3/2 y)))))) x)) (* 1/2 (pow y 2))) (* -1 (* y (- y (* 3/2 y))))) x))) (* 3/2 y)) x)) 3/2)))
(/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 x) x))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) x))) (* y (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))))) (/ (pow x 2) (- (* 1/2 x) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) x))) (* y (- (+ (* -1/2 (/ x (- (* 1/2 x) x))) (* y (- (* 1/4 (/ 1 (- (* 1/2 x) x))) (* -1/2 (/ (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))) (- (* 1/2 x) x)))))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))))) (/ (pow x 2) (- (* 1/2 x) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 x) x))) (* y (- (+ (* -1/2 (/ x (- (* 1/2 x) x))) (* y (- (+ (* 1/4 (/ 1 (- (* 1/2 x) x))) (* 1/2 (/ (* y (- (* 1/4 (/ 1 (- (* 1/2 x) x))) (* -1/2 (/ (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))) (- (* 1/2 x) x))))) (- (* 1/2 x) x)))) (* -1/2 (/ (- (* -1/2 (/ x (- (* 1/2 x) x))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))) (- (* 1/2 x) x)))))) (* -1/2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow (- (* 1/2 x) x) 2)))))) (/ (pow x 2) (- (* 1/2 x) x)))
(* -1/2 y)
(* y (- (* 2 (/ x y)) (+ 1/2 (* 1/2 (/ x y)))))
(* y (- (+ (* -2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow y 2))) (* 2 (/ x y))) (+ 1/2 (+ (* -2 (/ (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))) (pow y 2))) (* 1/2 (/ x y))))))
(* y (- (+ (* -2 (/ (- (* 1/4 (pow x 2)) (pow x 2)) (pow y 2))) (+ (* 2 (/ x y)) (* 2 (/ (* (- (* -2 (- (* 1/4 (pow x 2)) (pow x 2))) (* -2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))))) (- (* 1/2 x) x)) (pow y 3))))) (+ 1/2 (+ (* -2 (/ (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))) (pow y 2))) (* 1/2 (/ x y))))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 2 x) (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 2 (- (* 1/4 (pow x 2)) (pow x 2))) (* 2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))))) y)) (* 2 x)) (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (- (* 1/4 (pow x 2)) (pow x 2))) (* 2 (/ (* (- (* 1/2 x) x) (- (* 2 (- (* 1/4 (pow x 2)) (pow x 2))) (* 2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x)))))) y))) (* 2 (* (- (* 1/2 x) x) (- (* 2 x) (* 1/2 x))))) y)) (* 2 x)) (* 1/2 x)) y)))))
(* 1/4 (pow y 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))
(* -3/4 (pow x 2))
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4))
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))
(* -3/4 (pow x 2))
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4))
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))
(- (* 1/4 (pow x 2)) (pow x 2))
(- (+ (* -1/2 (* x y)) (* 1/4 (pow x 2))) (pow x 2))
(- (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) (pow x 2))
(- (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) (pow x 2))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(* (pow y 2) (- (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))) (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))) (/ (pow x 2) (pow y 2))))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y))))
(* 1/4 (pow y 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))
(+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x))))
(+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x))))
(* 1/4 (pow x 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))
(+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ 1 x)
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(/ 1 x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ 1 y)
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* -1/2 y)
(+ (* -1/2 x) (* -1/2 y))
(+ (* -1/2 x) (* -1/2 y))
(+ (* -1/2 x) (* -1/2 y))
(* -1/2 x)
(* x (- (* -1/2 (/ y x)) 1/2))
(* x (- (* -1/2 (/ y x)) 1/2))
(* x (- (* -1/2 (/ y x)) 1/2))
(* -1/2 x)
(* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))
(* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))
(* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))
(- (* 1/2 x) x)
(- (+ (* -1/2 y) (* 1/2 x)) x)
(- (+ (* -1/2 y) (* 1/2 x)) x)
(- (+ (* -1/2 y) (* 1/2 x)) x)
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))
Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) #s(literal -3/2 binary64))))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) #s(literal -3/2 binary64))))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) #s(literal -3/2 binary64))))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 y (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) y))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) y) y) (/.f64 #s(literal 2 binary64) y))))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -2 binary64) (*.f64 y y)))))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(+.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -2 binary64)))) (*.f64 x (*.f64 x x))) (/.f64 y x)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (*.f64 y (*.f64 y #s(literal -2 binary64))) (*.f64 x x))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -2 binary64))) x) (*.f64 y #s(literal -2 binary64))) x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y #s(literal -2 binary64))) x)) (*.f64 y (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) x)) (*.f64 y #s(literal -2 binary64))) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -2 binary64))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)))))
-1
#s(literal -1 binary64)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(-.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) y) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) y) y))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) y) (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) y)))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) y)) (-.f64 #s(literal 0 binary64) y)) (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) y)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ x (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) x)
(+ x (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) x)
(+ x (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) x)
x
(* x (+ 1 (* -1/2 (/ y x))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64)))
(* x (+ 1 (* -1/2 (/ y x))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64)))
(* x (+ 1 (* -1/2 (/ y x))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64)))
x
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
x
(+ x (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) x)
(+ x (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) x)
(+ x (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) x)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (/ x y) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
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(* x (- (* -1/2 (/ y x)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(- (* 1/2 x) x)
(*.f64 #s(literal -1/2 binary64) x)
(- (+ (* -1/2 y) (* 1/2 x)) x)
(*.f64 #s(literal -1/2 binary64) (+.f64 y x))
(- (+ (* -1/2 y) (* 1/2 x)) x)
(*.f64 #s(literal -1/2 binary64) (+.f64 y x))
(- (+ (* -1/2 y) (* 1/2 x)) x)
(*.f64 #s(literal -1/2 binary64) (+.f64 y x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1/2 binary64)))
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1/2 binary64)))
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1/2 binary64)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (-.f64 #s(literal 0 binary64) y))

eval233.0ms (2.9%)

Compiler

Compiled 34646 to 3056 computations (91.2% saved)

prune149.0ms (1.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New128491293
Fresh336
Picked325
Done011
Total1290151305
Accuracy
100.0%
Counts
1305 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.1%
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x (/.f64 #s(literal 4 binary64) y)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
46.4%
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (*.f64 y (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1/2 binary64))))
25.4%
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) x))
51.0%
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (+.f64 x y)))
87.0%
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))))
87.1%
(+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) y)))
99.9%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
52.8%
(+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
99.7%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
57.9%
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
48.3%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)))
87.0%
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
52.5%
(*.f64 #s(literal 3/2 binary64) x)
49.3%
(*.f64 #s(literal -1/2 binary64) y)
11.8%
x
Compiler

Compiled 385 to 245 computations (36.4% saved)

simplify256.0ms (3.2%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))
cost-diff128
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
cost-diff640
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))
cost-diff640
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
cost-diff256
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
cost-diff640
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) x))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
cost-diff128
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 #s(literal 2 binary64) (-.f64 x y))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
cost-diff128
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
Rules
3142×*-lowering-*.f32
3142×*-lowering-*.f64
1704×/-lowering-/.f32
1704×/-lowering-/.f64
1668×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028123
184118
2219107
3656107
42856107
08342107
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (/ 1 (/ 2 (- x y))))
x
(/ 1 (/ 2 (- x y)))
1
(/ 2 (- x y))
2
(- x y)
y
x
(* y (+ -1/2 (* 3/2 (/ x y))))
y
(+ -1/2 (* 3/2 (/ x y)))
-1/2
(* 3/2 (/ x y))
3/2
(/ x y)
x
(/ (- (* (* x x) 1/4) (* x x)) (* -1/2 x))
(- (* (* x x) 1/4) (* x x))
(* (* x x) 1/4)
(* x x)
x
1/4
(* -1/2 x)
-1/2
(+ x (/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y))))
x
(/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y)))
(- (/ 1 (/ y (* x 2))) 2)
(/ 1 (/ y (* x 2)))
1
(/ y (* x 2))
y
(* x 2)
2
(* 2 (/ 2 y))
(/ 2 y)
Outputs
(+ x (/ 1 (/ 2 (- x y))))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
x
(/ 1 (/ 2 (- x y)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
1
#s(literal 1 binary64)
(/ 2 (- x y))
(/.f64 #s(literal 2 binary64) (-.f64 x y))
2
#s(literal 2 binary64)
(- x y)
(-.f64 x y)
y
x
(* y (+ -1/2 (* 3/2 (/ x y))))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
y
(+ -1/2 (* 3/2 (/ x y)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 3/2 binary64)) y))
-1/2
#s(literal -1/2 binary64)
(* 3/2 (/ x y))
(/.f64 (*.f64 x #s(literal 3/2 binary64)) y)
3/2
#s(literal 3/2 binary64)
(/ x y)
(/.f64 x y)
x
(/ (- (* (* x x) 1/4) (* x x)) (* -1/2 x))
(*.f64 x #s(literal 3/2 binary64))
(- (* (* x x) 1/4) (* x x))
(*.f64 x (*.f64 x #s(literal -3/4 binary64)))
(* (* x x) 1/4)
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
(* x x)
(*.f64 x x)
x
1/4
#s(literal 1/4 binary64)
(* -1/2 x)
(/.f64 x #s(literal -2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ x (/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y))))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
x
(/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(- (/ 1 (/ y (* x 2))) 2)
(+.f64 (/.f64 x (/.f64 y #s(literal 2 binary64))) #s(literal -2 binary64))
(/ 1 (/ y (* x 2)))
(/.f64 x (/.f64 y #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(/ y (* x 2))
(/.f64 y (/.f64 x #s(literal 1/2 binary64)))
y
(* x 2)
(/.f64 x #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(* 2 (/ 2 y))
(/.f64 #s(literal 4 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)

localize229.0ms (2.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))
accuracy99.9%
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))
accuracy88.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) x)
accuracy76.7%
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
accuracy56.7%
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) x))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
accuracy99.6%
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
accuracy88.3%
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(/.f64 #s(literal 2 binary64) (-.f64 x y))
accuracy99.9%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
Results
66.0ms67×1valid
42.0ms161×0valid
40.0ms17×5exit
14.0ms11×3valid
Compiler

Compiled 164 to 29 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-div: 39.0ms (41.4% of total)
ival-mult: 20.0ms (21.3% of total)
ival-sub: 18.0ms (19.1% of total)
backward-pass: 9.0ms (9.6% of total)
ival-add: 7.0ms (7.4% of total)
const: 1.0ms (1.1% of total)

series16.0ms (0.2%)

Counts
18 → 360
Calls
Call 1
Inputs
#<alt (+ x (/ 1 (/ 2 (- x y))))>
#<alt (/ 1 (/ 2 (- x y)))>
#<alt (/ 2 (- x y))>
#<alt (- x y)>
#<alt (* y (+ -1/2 (* 3/2 (/ x y))))>
#<alt (+ -1/2 (* 3/2 (/ x y)))>
#<alt (* 3/2 (/ x y))>
#<alt (/ x y)>
#<alt (/ (- (* (* x x) 1/4) (* x x)) (* -1/2 x))>
#<alt (- (* (* x x) 1/4) (* x x))>
#<alt (* (* x x) 1/4)>
#<alt (* x x)>
#<alt (+ x (/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y))))>
#<alt (/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y)))>
#<alt (- (/ 1 (/ y (* x 2))) 2)>
#<alt (/ 1 (/ y (* x 2)))>
#<alt (* -1/2 x)>
#<alt (* 2 (/ 2 y))>
Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (/ -2 y)>
#<alt (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 2 (/ y x))) x)>
#<alt (/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)>
#<alt (/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* -2 (/ y x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))>
#<alt (/ 2 x)>
#<alt (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))>
#<alt (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (/ -2 y)>
#<alt (/ (- (* -2 (/ x y)) 2) y)>
#<alt (/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)>
#<alt (/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* 2 (/ x y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt -1/2>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (* 3/2 (/ x y))>
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* 3/2 (/ x y))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))>
#<alt (* 3/2 (/ x y))>
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)>
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)>
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)>
#<alt -1/2>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt -1/2>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 2 (/ x y))>
#<alt (/ (+ (* -2 y) (* 2 x)) y)>
#<alt (/ (+ (* -2 y) (* 2 x)) y)>
#<alt (/ (+ (* -2 y) (* 2 x)) y)>
#<alt -2>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (- (* 2 (/ x y)) 2)>
#<alt -2>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (- (* 2 (/ x y)) 2)>
#<alt -2>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (- (* 2 (/ x y)) 2)>
#<alt (* 2 (/ x y))>
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* 2 (/ x y))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<alt (* 2 (/ x y))>
#<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 (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
Calls

90 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(/ 1 (/ y (* x 2)))
1.0ms
x
@0
(/ (- (* (* x x) 1/4) (* x x)) (* -1/2 x))
1.0ms
x
@-inf
(/ 2 (- x y))
0.0ms
y
@-inf
(* y (+ -1/2 (* 3/2 (/ x y))))
0.0ms
y
@0
(* y (+ -1/2 (* 3/2 (/ x y))))

rewrite411.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
3094×*-lowering-*.f32
3094×*-lowering-*.f64
3068×/-lowering-/.f32
3068×/-lowering-/.f64
1482×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02898
120492
2184691
0846991
Stop Event
iter limit
node limit
Counts
18 → 855
Calls
Call 1
Inputs
(+ x (/ 1 (/ 2 (- x y))))
(/ 1 (/ 2 (- x y)))
(/ 2 (- x y))
(- x y)
(* y (+ -1/2 (* 3/2 (/ x y))))
(+ -1/2 (* 3/2 (/ x y)))
(* 3/2 (/ x y))
(/ x y)
(/ (- (* (* x x) 1/4) (* x x)) (* -1/2 x))
(- (* (* x x) 1/4) (* x x))
(* (* x x) 1/4)
(* x x)
(+ x (/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y))))
(/ (- (/ 1 (/ y (* x 2))) 2) (* 2 (/ 2 y)))
(- (/ 1 (/ y (* x 2))) 2)
(/ 1 (/ y (* x 2)))
(* -1/2 x)
(* 2 (/ 2 y))
Outputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)
(-.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 4 binary64) y)) (-.f64 (/.f64 y #s(literal 2 binary64)) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))
(-.f64 (+.f64 x (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 4 binary64) y))) (/.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)) x)
(fma.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/4 binary64) y) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) y) x)
(fma.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 x y))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y)) x)
(fma.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) y) (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 2 binary64) y)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) y)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) y x)
(fma.f64 (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) #s(literal 4 binary64)) y x)
(fma.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal 2 binary64)) x)
(fma.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 4 binary64)) y (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 x y)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)))) (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))) (neg.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)))) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))) (*.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))) (*.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)))))) (neg.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y))))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))
(+.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) y (/.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (/.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (/.f64 y #s(literal 2 binary64))))
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(*.f64 (pow.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) y)
(*.f64 (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) #s(literal 4 binary64)) y)
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))))
(+.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))))) (/.f64 #s(literal 8 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))))
(fma.f64 x (/.f64 #s(literal 2 binary64) y) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64))
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))
(fma.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64)))) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal -4 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -8 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -8 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal -4 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -8 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -8 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal -4 binary64))) (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))))) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))) #s(literal 8 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))))))
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))))))
(*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) y)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) y) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) y)
(/.f64 #s(literal 4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))

simplify349.0ms (4.3%)

Algorithm
egg-herbie
Rules
4858×*-lowering-*.f32
4858×*-lowering-*.f64
1562×/-lowering-/.f32
1562×/-lowering-/.f64
1372×fnmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02212111
17291999
220831970
371991967
083701967
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(/ -2 y)
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ 2 x)
(/ (+ 2 (* 2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)
(/ 2 x)
(* -1 (/ (- (* -2 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))
(/ 2 x)
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/ -2 y)
(/ (- (* -2 (/ x y)) 2) y)
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* 2 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(* 3/2 (/ x y))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* 3/2 (/ x y))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* 3/2 (/ x y))
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(/ (+ (* -1/2 y) (* 3/2 x)) y)
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 2 (/ x y))
(/ (+ (* -2 y) (* 2 x)) y)
(/ (+ (* -2 y) (* 2 x)) y)
(/ (+ (* -2 y) (* 2 x)) y)
-2
(- (* 2 (/ x y)) 2)
(- (* 2 (/ x y)) 2)
(- (* 2 (/ x y)) 2)
-2
(- (* 2 (/ x y)) 2)
(- (* 2 (/ x y)) 2)
(- (* 2 (/ x y)) 2)
-2
(- (* 2 (/ x y)) 2)
(- (* 2 (/ x y)) 2)
(- (* 2 (/ x y)) 2)
(* 2 (/ x y))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))
(* 2 (/ x y))
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* -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)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) y)
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)))) y)
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) y)) (*.f64 x x)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) y))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 2 (/ y x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) x)
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x)))) x)
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x))))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* -2 (/ y x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x)))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))))) x) (*.f64 y #s(literal 2 binary64))) x)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) x)
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x)))) x)
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x)))) x))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ (- (* -2 (/ x y)) 2) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) y)
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)))) y)
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)
(/.f64 (+.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 y (*.f64 y y))))) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* -1 (/ (+ 2 (* 2 (/ x y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)))) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))) y) (*.f64 x #s(literal -2 binary64))) y)) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (* 3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (* 3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
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(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* 2 (/ x y))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(* -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)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)

eval153.0ms (1.9%)

Compiler

Compiled 23328 to 2316 computations (90.1% saved)

prune103.0ms (1.3%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New122671233
Fresh527
Picked415
Done033
Total1235131248
Accuracy
100.0%
Counts
1248 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.1%
(fma.f64 (/.f64 x y) (*.f64 #s(literal 3/2 binary64) y) (*.f64 y #s(literal -1/2 binary64)))
81.1%
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x (/.f64 #s(literal 4 binary64) y)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
80.2%
(+.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 3/2 binary64))) y) (*.f64 y #s(literal -1/2 binary64)))
99.9%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
52.4%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
87.2%
(+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
57.9%
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
27.4%
(*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x)))
87.1%
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))))
39.7%
(*.f64 y (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
52.5%
(*.f64 #s(literal 3/2 binary64) x)
49.3%
(*.f64 #s(literal -1/2 binary64) y)
11.8%
x
Compiler

Compiled 228 to 159 computations (30.3% saved)

simplify222.0ms (2.8%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal -1/2 binary64))
cost-diff0
(*.f64 #s(literal 3/2 binary64) y)
cost-diff0
(/.f64 x y)
cost-diff6528
(fma.f64 (/.f64 x y) (*.f64 #s(literal 3/2 binary64) y) (*.f64 y #s(literal -1/2 binary64)))
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff128
(-.f64 (*.f64 x #s(literal 1/4 binary64)) x)
cost-diff128
(*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x))
cost-diff512
(*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x)))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
cost-diff256
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
cost-diff0
(*.f64 #s(literal 3/2 binary64) x)
cost-diff0
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
cost-diff128
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
cost-diff256
(+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
Rules
3458×*-lowering-*.f32
3458×*-lowering-*.f64
1838×/-lowering-/.f32
1838×/-lowering-/.f64
1800×neg-lowering-neg.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028102
16696
215894
334685
473085
5152285
6449185
0815785
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (* y (+ -1/2 (* x (/ 1/2 y)))))
x
(* y (+ -1/2 (* x (/ 1/2 y))))
y
(+ -1/2 (* x (/ 1/2 y)))
-1/2
(* x (/ 1/2 y))
(/ 1/2 y)
1/2
(* 3/2 x)
3/2
x
(+ x (/ 1 (/ 2 x)))
x
(/ 1 (/ 2 x))
1
(/ 2 x)
2
(* (/ -2 x) (* x (- (* x 1/4) x)))
(/ -2 x)
-2
x
(* x (- (* x 1/4) x))
(- (* x 1/4) x)
(* x 1/4)
1/4
(+ (* (/ x y) (* 3/2 y)) (* y -1/2))
(/ x y)
x
y
(* 3/2 y)
3/2
(* y -1/2)
-1/2
Outputs
(+ x (* y (+ -1/2 (* x (/ 1/2 y)))))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
x
(* y (+ -1/2 (* x (/ 1/2 y))))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x #s(literal 2 binary64)))
y
(+ -1/2 (* x (/ 1/2 y)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x (/ 1/2 y))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)
x
(+ x (/ 1 (/ 2 x)))
(*.f64 x #s(literal 3/2 binary64))
x
(/ 1 (/ 2 x))
(/.f64 x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(* (/ -2 x) (* x (- (* x 1/4) x)))
(*.f64 x #s(literal 3/2 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x
(* x (- (* x 1/4) x))
(*.f64 (*.f64 x x) #s(literal -3/4 binary64))
(- (* x 1/4) x)
(*.f64 x #s(literal -3/4 binary64))
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(+ (* (/ x y) (* 3/2 y)) (* y -1/2))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(/ x y)
(/.f64 x y)
x
y
(* 3/2 y)
(*.f64 y #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize248.0ms (3.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 #s(literal 3/2 binary64) y)
accuracy92.3%
(fma.f64 (/.f64 x y) (*.f64 #s(literal 3/2 binary64) y) (*.f64 y #s(literal -1/2 binary64)))
accuracy100.0%
(-.f64 (*.f64 x #s(literal 1/4 binary64)) x)
accuracy100.0%
(*.f64 x #s(literal 1/4 binary64))
accuracy99.9%
(*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x))
accuracy71.6%
(*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x)))
accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
accuracy100.0%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
accuracy100.0%
(*.f64 #s(literal 3/2 binary64) x)
accuracy100.0%
(+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
accuracy100.0%
(+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
accuracy99.8%
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
accuracy92.3%
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
Results
140.0ms95×5exit
43.0ms161×0valid
Compiler

Compiled 120 to 28 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-mult: 36.0ms (31.1% of total)
ival-div: 28.0ms (24.2% of total)
backward-pass: 23.0ms (19.8% of total)
ival-add: 13.0ms (11.2% of total)
compiled-spec: 10.0ms (8.6% of total)
ival-sub: 4.0ms (3.5% of total)
const: 3.0ms (2.6% of total)

series15.0ms (0.2%)

Counts
17 → 276
Calls
Call 1
Inputs
#<alt (+ x (* y (+ -1/2 (* x (/ 1/2 y)))))>
#<alt (* y (+ -1/2 (* x (/ 1/2 y))))>
#<alt (+ -1/2 (* x (/ 1/2 y)))>
#<alt (* x (/ 1/2 y))>
#<alt (* 3/2 x)>
#<alt (+ x (/ 1 (/ 2 x)))>
#<alt (/ 1 (/ 2 x))>
#<alt (/ 2 x)>
#<alt (* (/ -2 x) (* x (- (* x 1/4) x)))>
#<alt (* x (- (* x 1/4) x))>
#<alt (- (* x 1/4) x)>
#<alt (/ -2 x)>
#<alt (+ (* (/ x y) (* 3/2 y)) (* y -1/2))>
#<alt (/ x y)>
#<alt (* 3/2 y)>
#<alt (* y -1/2)>
#<alt (* x 1/4)>
Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt -1/2>
#<alt (- (* 1/2 (/ x y)) 1/2)>
#<alt (- (* 1/2 (/ x y)) 1/2)>
#<alt (- (* 1/2 (/ x y)) 1/2)>
#<alt (* 1/2 (/ x y))>
#<alt (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/2 y) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/2 y) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/2 y) (* 1/2 x)) y)>
#<alt -1/2>
#<alt (- (* 1/2 (/ x y)) 1/2)>
#<alt (- (* 1/2 (/ x y)) 1/2)>
#<alt (- (* 1/2 (/ x y)) 1/2)>
#<alt -1/2>
#<alt (- (* 1/2 (/ x y)) 1/2)>
#<alt (- (* 1/2 (/ x y)) 1/2)>
#<alt (- (* 1/2 (/ x y)) 1/2)>
#<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))>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 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)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (* -3/4 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 3/2 y)>
#<alt (* 3/2 y)>
#<alt (* 3/2 y)>
#<alt (* 3/2 y)>
#<alt (* 3/2 y)>
#<alt (* 3/2 y)>
#<alt (* 3/2 y)>
#<alt (* 3/2 y)>
#<alt (* 3/2 y)>
#<alt (* 3/2 y)>
#<alt (* 3/2 y)>
#<alt (* 3/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
Calls

69 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(+ (* (/ x y) (* 3/2 y)) (* y -1/2))
0.0ms
y
@-inf
(+ x (* y (+ -1/2 (* x (/ 1/2 y)))))
0.0ms
x
@0
(* (/ -2 x) (* x (- (* x 1/4) x)))
0.0ms
x
@0
(+ x (* y (+ -1/2 (* x (/ 1/2 y)))))
0.0ms
y
@0
(+ x (* y (+ -1/2 (* x (/ 1/2 y)))))

rewrite320.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
3062×/-lowering-/.f32
3062×/-lowering-/.f64
2980×*-lowering-*.f32
2980×*-lowering-*.f64
2028×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02889
115484
2129679
0830279
Stop Event
iter limit
node limit
Counts
17 → 479
Calls
Call 1
Inputs
(+ x (* y (+ -1/2 (* x (/ 1/2 y)))))
(* y (+ -1/2 (* x (/ 1/2 y))))
(+ -1/2 (* x (/ 1/2 y)))
(* x (/ 1/2 y))
(* 3/2 x)
(+ x (/ 1 (/ 2 x)))
(/ 1 (/ 2 x))
(/ 2 x)
(* (/ -2 x) (* x (- (* x 1/4) x)))
(* x (- (* x 1/4) x))
(- (* x 1/4) x)
(/ -2 x)
(+ (* (/ x y) (* 3/2 y)) (* y -1/2))
(/ x y)
(* 3/2 y)
(* y -1/2)
(* x 1/4)
Outputs
(+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(+.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x)
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))))
(+.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x)))
(fma.f64 y #s(literal -1/2 binary64) (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x)
(fma.f64 #s(literal -1/2 binary64) y (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) y x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x) (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))) (neg.f64 (+.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (*.f64 (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (*.f64 (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x)))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (pow.f64 (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 (*.f64 (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x) (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x)) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (+.f64 x (*.f64 y #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x) (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x))) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) x)))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (+.f64 x (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) x)))))
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(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (*.f64 x (*.f64 y #s(literal 3/2 binary64)))) (*.f64 (*.f64 x (*.f64 y #s(literal 3/2 binary64))) (*.f64 y #s(literal -1/2 binary64)))) y)))
(/.f64 (*.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (*.f64 x (*.f64 y #s(literal 3/2 binary64)))) (*.f64 (*.f64 x (*.f64 y #s(literal 3/2 binary64))) (*.f64 y #s(literal -1/2 binary64)))) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64)))))) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (*.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))))) (neg.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (/.f64 (/.f64 (/.f64 x y) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (/.f64 (/.f64 (/.f64 x y) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (/.f64 (/.f64 (/.f64 x y) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (/.f64 (/.f64 (/.f64 x y) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (*.f64 x (*.f64 y #s(literal 3/2 binary64)))) (*.f64 (*.f64 x (*.f64 y #s(literal 3/2 binary64))) (*.f64 y #s(literal -1/2 binary64)))) y))))
(*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)) (/.f64 y (*.f64 x (*.f64 y #s(literal 3/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 y x)))))
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))) y) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 y #s(literal 3/2 binary64))
(*.f64 #s(literal 3/2 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)

simplify168.0ms (2.1%)

Algorithm
egg-herbie
Rules
2008×*-lowering-*.f32
2008×*-lowering-*.f64
1974×sum3-define
1200×fma-define
1090×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0721116
12131104
26011104
315161104
447591086
579041086
086371086
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
-1/2
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(* 1/2 (/ x y))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* 1/2 (/ x y))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* 1/2 (/ x y))
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(/ (+ (* -1/2 y) (* 1/2 x)) y)
-1/2
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
-1/2
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(- (* 1/2 (/ x y)) 1/2)
(* 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))
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 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)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(* -3/4 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 3/2 y)
(* 3/2 y)
(* 3/2 y)
(* 3/2 y)
(* 3/2 y)
(* 3/2 y)
(* 3/2 y)
(* 3/2 y)
(* 3/2 y)
(* 3/2 y)
(* 3/2 y)
(* 3/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (/ x y)) 1/2)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(- (* 1/2 (/ x y)) 1/2)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(- (* 1/2 (/ x y)) 1/2)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(/ (+ (* -1/2 y) (* 1/2 x)) y)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (/ x y)) 1/2)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(- (* 1/2 (/ x y)) 1/2)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(- (* 1/2 (/ x y)) 1/2)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (/ x y)) 1/2)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(- (* 1/2 (/ x y)) 1/2)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(- (* 1/2 (/ x y)) 1/2)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -3/4 (pow x 2))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(* -3/4 (pow x 2))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(* -3/4 (pow x 2))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(* -3/4 (pow x 2))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(* -3/4 (pow x 2))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(* -3/4 (pow x 2))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(* -3/4 (pow x 2))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(* -3/4 (pow x 2))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(* -3/4 (pow x 2))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(* -3/4 (pow x 2))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(* -3/4 (pow x 2))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(* -3/4 (pow x 2))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(* -3/4 x)
(*.f64 x #s(literal -3/4 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 3/2 y)
(*.f64 y #s(literal 3/2 binary64))
(* 3/2 y)
(*.f64 y #s(literal 3/2 binary64))
(* 3/2 y)
(*.f64 y #s(literal 3/2 binary64))
(* 3/2 y)
(*.f64 y #s(literal 3/2 binary64))
(* 3/2 y)
(*.f64 y #s(literal 3/2 binary64))
(* 3/2 y)
(*.f64 y #s(literal 3/2 binary64))
(* 3/2 y)
(*.f64 y #s(literal 3/2 binary64))
(* 3/2 y)
(*.f64 y #s(literal 3/2 binary64))
(* 3/2 y)
(*.f64 y #s(literal 3/2 binary64))
(* 3/2 y)
(*.f64 y #s(literal 3/2 binary64))
(* 3/2 y)
(*.f64 y #s(literal 3/2 binary64))
(* 3/2 y)
(*.f64 y #s(literal 3/2 binary64))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))

eval88.0ms (1.1%)

Compiler

Compiled 13118 to 1358 computations (89.6% saved)

prune89.0ms (1.1%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New7532755
Fresh134
Picked235
Done044
Total75612768
Accuracy
100.0%
Counts
768 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (*.f64 y #s(literal -1/2 binary64)))
80.2%
(+.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 3/2 binary64))) y) (*.f64 y #s(literal -1/2 binary64)))
99.9%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
52.4%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
87.2%
(+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
57.9%
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
27.4%
(*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x #s(literal -3/4 binary64))))
87.1%
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))))
39.7%
(*.f64 y (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
52.5%
(*.f64 #s(literal 3/2 binary64) x)
49.3%
(*.f64 #s(literal -1/2 binary64) y)
11.8%
x
Compiler

Compiled 483 to 193 computations (60% saved)

regimes40.0ms (0.5%)

Counts
30 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))))
(*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x #s(literal -3/4 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x)))
(+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 3/2 binary64))) y) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))))
(+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (+.f64 x y)))
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (*.f64 y (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (/.f64 x y) (*.f64 #s(literal 3/2 binary64) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x (/.f64 #s(literal 4 binary64) y)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(+.f64 x (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -1/2 binary64))))
Outputs
(fma.f64 x (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (*.f64 y #s(literal -1/2 binary64)))
Calls

3 calls:

19.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
10.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes25.0ms (0.3%)

Counts
26 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))))
(*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x #s(literal -3/4 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) x)))
(+.f64 x (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 3/2 binary64))) y) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(+.f64 x (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))))
(+.f64 x (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (+.f64 x y)))
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (*.f64 y (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 1/2 binary64))))
Outputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Calls

3 calls:

9.0ms
y
8.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
8.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
Outputs
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal 3/2 binary64) x)
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
80.8%3x
81.6%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
Outputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) y)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
78.9%3x
80.2%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
51.1%2x
52.4%3y
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
x
Outputs
x
Calls

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
11.8%1y
11.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch28.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.7203558733680584e+52
3.354976316003921e+53
16.0ms
-1.3088063108905112e+38
-3.6211100586841377e+27
Results
11.0ms244×0valid
2.0ms15×2valid
1.0ms13×1valid
Compiler

Compiled 252 to 197 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (29% of total)
ival-add: 2.0ms (29% of total)
ival-sub: 2.0ms (29% of total)
backward-pass: 1.0ms (14.5% of total)
const: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
1.7203558733680584e+52
3.354976316003921e+53
15.0ms
-1.3088063108905112e+38
-3.6211100586841377e+27
Results
14.0ms257×0valid
1.0ms2valid
1.0ms1valid
Compiler

Compiled 218 to 180 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (32.4% of total)
ival-sub: 2.0ms (32.4% of total)
ival-add: 1.0ms (16.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-8.80941971864045e+169
-5.4389248909642515e+163
Results
7.0ms119×0valid
2.0ms3valid
1.0ms10×1valid
1.0ms2valid
Compiler

Compiled 104 to 82 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (51.3% of total)
ival-div: 1.0ms (17.1% of total)
backward-pass: 1.0ms (17.1% of total)
ival-add: 1.0ms (17.1% of total)
const: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
if-if-or-not_binary32
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03058
14358
24858
35058
45158
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -6199999999999999879315674985752690688 binary64)) (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 23999999999999999837302768184679071435081002606657536 binary64)) (*.f64 #s(literal 3/2 binary64) x) (+.f64 x (*.f64 #s(literal -1/2 binary64) y))))
(if (<=.f64 y #s(literal -1549999999999999876009931309056 binary64)) (*.f64 #s(literal -1/2 binary64) y) (if (<=.f64 y #s(literal 39999999999999999728837946974465119058468337677762560 binary64)) (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)))
(if (<=.f64 x #s(literal -2149999999999999899699463675768011245268521084718481913388157757312785695790277354025751324060903088923323474160925032703759225581675256423531719573951047610218080894976 binary64)) x (*.f64 #s(literal -1/2 binary64) y))
x
Outputs
(fma.f64 x (/.f64 (*.f64 y #s(literal 3/2 binary64)) y) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -6199999999999999879315674985752690688 binary64)) (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 23999999999999999837302768184679071435081002606657536 binary64)) (*.f64 #s(literal 3/2 binary64) x) (+.f64 x (*.f64 #s(literal -1/2 binary64) y))))
(if (<=.f64 y #s(literal -6199999999999999879315674985752690688 binary64)) (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 23999999999999999837302768184679071435081002606657536 binary64)) (*.f64 x #s(literal 3/2 binary64)) (+.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -1549999999999999876009931309056 binary64)) (*.f64 #s(literal -1/2 binary64) y) (if (<=.f64 y #s(literal 39999999999999999728837946974465119058468337677762560 binary64)) (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)))
(if (<=.f64 y #s(literal -1549999999999999876009931309056 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 39999999999999999728837946974465119058468337677762560 binary64)) (*.f64 x #s(literal 3/2 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 x #s(literal -2149999999999999899699463675768011245268521084718481913388157757312785695790277354025751324060903088923323474160925032703759225581675256423531719573951047610218080894976 binary64)) x (*.f64 #s(literal -1/2 binary64) y))
(if (<=.f64 x #s(literal -2149999999999999899699463675768011245268521084718481913388157757312785695790277354025751324060903088923323474160925032703759225581675256423531719573951047610218080894976 binary64)) x (*.f64 y #s(literal -1/2 binary64)))
x

soundness1.7s (21.6%)

Rules
3380×*-lowering-*.f32
3380×*-lowering-*.f64
3094×*-lowering-*.f32
3094×*-lowering-*.f64
3068×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02898
120492
2184691
0846991
05063570
117663134
258543077
082073077
0615
14514
242314
3557414
0829714
058315
1185315
2558315
31629297
44972297
57556297
08018297
02889
115484
2129679
0830279
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 158 to 93 computations (41.1% saved)

preprocess45.0ms (0.6%)

Compiler

Compiled 168 to 84 computations (50% saved)

end0.0ms (0%)

Profiling

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