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

Time bar (total: 7.7s)

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)

sample778.0ms (10.1%)

Results
414.0ms7660×0valid
84.0ms120×3valid
40.0ms216×2valid
30.0ms260×1valid
Precisions
Click to see histograms. Total time spent on operations: 253.0ms
ival-div: 76.0ms (30.1% of total)
ival-sub: 63.0ms (24.9% of total)
ival-add: 55.0ms (21.8% of total)
backward-pass: 46.0ms (18.2% of total)
const: 12.0ms (4.7% of total)
Bogosity

preprocess127.0ms (1.6%)

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))

explain80.0ms (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
39.0ms470×0valid
4.0ms16×2valid
3.0ms20×1valid
3.0ms3valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (29.1% of total)
ival-sub: 4.0ms (29.1% of total)
ival-add: 3.0ms (21.9% of total)
backward-pass: 2.0ms (14.6% of total)
const: 1.0ms (7.3% 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 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 3/2 binary64))
cost-diff0
(/.f64 y #s(literal -2 binary64))
cost-diff0
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
Rules
fma-lowering-fma.f32
fma-define
+-lowering-+.f64
*-lowering-*.f32
*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
1916
21116
01116
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (/ y -2) (* x 3/2))
(/ y -2)
y
-2
(* x 3/2)
x
3/2
Outputs
(+ (/ y -2) (* x 3/2))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(/ y -2)
(/.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(* x 3/2)
(*.f64 x #s(literal 3/2 binary64))
x
3/2
#s(literal 3/2 binary64)

localize55.0ms (0.7%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y #s(literal -2 binary64))
accuracy100.0%
(*.f64 x #s(literal 3/2 binary64))
accuracy99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
Results
20.0ms235×0valid
2.0ms2valid
2.0ms10×1valid
1.0ms3valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (27.5% of total)
ival-mult: 2.0ms (27.5% of total)
ival-add: 2.0ms (27.5% of total)
const: 1.0ms (13.7% of total)
backward-pass: 1.0ms (13.7% of total)

series3.0ms (0%)

Counts
3 → 48
Calls
Call 1
Inputs
#<alt (+ (/ y -2) (* x 3/2))>
#<alt (/ y -2)>
#<alt (* x 3/2)>
Outputs
#<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 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 (* 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)>
Calls

12 calls:

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

rewrite255.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
2380×*-lowering-*.f32
2380×*-lowering-*.f64
1878×fma-lowering-fma.f32
1878×fma-lowering-fma.f64
1728×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
13212
228812
3476212
0855612
Stop Event
iter limit
node limit
Counts
3 → 97
Calls
Call 1
Inputs
(+ (/ y -2) (* x 3/2))
(/ y -2)
(* x 3/2)
Outputs
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
(-.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 y (/.f64 (*.f64 #s(literal 1/4 binary64) y) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (/.f64 y #s(literal -2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 #s(literal 3/2 binary64) x (/.f64 y #s(literal -2 binary64)))
(fma.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (/.f64 y (/.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 #s(literal -27/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (+.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))))
(neg.f64 (/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y)))))
(/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 #s(literal -27/8 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/16 binary64))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64))))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 #s(literal -27/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/16 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y)))) (neg.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) (*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))) (+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))
(/.f64 (*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 #s(literal -27/8 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 #s(literal 729/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))
(*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))))
(*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))) (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(*.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (/.f64 y (/.f64 #s(literal 4 binary64) y))))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64)) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))) (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))
(*.f64 (/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 #s(literal -27/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (+.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 2 binary64)))
(neg.f64 (/.f64 y #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))
(pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1/2 binary64)))
(*.f64 x #s(literal 3/2 binary64))
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))

simplify184.0ms (2.4%)

Algorithm
egg-herbie
Rules
1944×*-lowering-*.f32
1944×*-lowering-*.f64
1924×fnmadd-define
1686×fma-define
1644×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026198
172198
2196198
3440198
4890198
52174198
65703198
08193198
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 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 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)
(* 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)
Outputs
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.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)
(* 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)

eval32.0ms (0.4%)

Compiler

Compiled 2970 to 283 computations (90.5% saved)

prune46.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New13510145
Fresh000
Picked011
Done000
Total13511146
Accuracy
100.0%
Counts
146 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
56.2%
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
36.2%
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))
56.2%
(/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
56.2%
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))))
99.6%
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
47.5%
(*.f64 #s(literal 3/2 binary64) x)
54.2%
(*.f64 #s(literal -1/2 binary64) y)
Compiler

Compiled 379 to 253 computations (33.2% saved)

simplify228.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y #s(literal -2 binary64))
cost-diff0
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
cost-diff1024
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
cost-diff1152
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
cost-diff0
(*.f64 x #s(literal 9/4 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 9/4 binary64)))
cost-diff0
(-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y)))
cost-diff0
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
cost-diff0
(/.f64 y #s(literal -2 binary64))
cost-diff0
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
(/.f64 y #s(literal -2 binary64))
cost-diff6272
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
Rules
2770×*-lowering-*.f32
2770×*-lowering-*.f64
2020×+-lowering-+.f64
2020×+-lowering-+.f32
1760×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030152
163147
2134144
3389144
41740144
54916144
67518144
08205144
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* x 3/2) (/ y -2))
x
3/2
(/ y -2)
y
-2
(* -1/2 y)
-1/2
y
(/ 1 (/ 1 (+ (/ y -2) (* x 3/2))))
1
(/ 1 (+ (/ y -2) (* x 3/2)))
(+ (/ y -2) (* x 3/2))
(/ y -2)
y
-2
(* x 3/2)
x
3/2
(/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2)))
(- (* x (* x 9/4)) (/ y (/ 4 y)))
(* x (* x 9/4))
x
(* x 9/4)
9/4
(/ y (/ 4 y))
y
(/ 4 y)
4
(+ (* x 3/2) (/ y 2))
(* x 3/2)
3/2
(/ y 2)
2
(* (+ (/ y -2) (* x 3/2)) (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2)))))
(+ (/ y -2) (* x 3/2))
(/ y -2)
y
-2
(* x 3/2)
x
3/2
(* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2))))
(+ (/ y -2) (* x -3/2))
(* x -3/2)
-3/2
(/ 1 (+ (/ y -2) (* x -3/2)))
1
Outputs
(+ (* x 3/2) (/ y -2))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
x
3/2
#s(literal 3/2 binary64)
(/ y -2)
(/.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(* -1/2 y)
(/.f64 y #s(literal -2 binary64))
-1/2
#s(literal -1/2 binary64)
y
(/ 1 (/ 1 (+ (/ y -2) (* x 3/2))))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(/ 1 (+ (/ y -2) (* x 3/2)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))))
(+ (/ y -2) (* x 3/2))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(/ y -2)
(/.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(* x 3/2)
(*.f64 x #s(literal 3/2 binary64))
x
3/2
#s(literal 3/2 binary64)
(/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2)))
(/.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 x (*.f64 x #s(literal -9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(- (* x (* x 9/4)) (/ y (/ 4 y)))
(+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal -4 binary64) y)))
(* x (* x 9/4))
(*.f64 x (*.f64 x #s(literal 9/4 binary64)))
x
(* x 9/4)
(*.f64 x #s(literal 9/4 binary64))
9/4
#s(literal 9/4 binary64)
(/ y (/ 4 y))
(/.f64 (*.f64 y y) #s(literal 4 binary64))
y
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
(+ (* x 3/2) (/ y 2))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
(* x 3/2)
(*.f64 x #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)
(/ y 2)
(/.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (+ (/ y -2) (* x 3/2)) (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2)))))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(+ (/ y -2) (* x 3/2))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(/ y -2)
(/.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(* x 3/2)
(*.f64 x #s(literal 3/2 binary64))
x
3/2
#s(literal 3/2 binary64)
(* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2))))
#s(literal 1 binary64)
(+ (/ y -2) (* x -3/2))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))
(* x -3/2)
(*.f64 x #s(literal -3/2 binary64))
-3/2
#s(literal -3/2 binary64)
(/ 1 (+ (/ y -2) (* x -3/2)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
1
#s(literal 1 binary64)

localize255.0ms (3.3%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))
accuracy99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
accuracy99.7%
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
accuracy99.8%
(/.f64 y (/.f64 #s(literal 4 binary64) y))
accuracy99.7%
(*.f64 x (*.f64 x #s(literal 9/4 binary64)))
accuracy96.2%
(-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y)))
accuracy57.5%
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
accuracy100.0%
(*.f64 x #s(literal 3/2 binary64))
accuracy99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) y)
accuracy100.0%
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
accuracy100.0%
(/.f64 y #s(literal -2 binary64))
Results
103.0ms211×0valid
21.0ms23×1valid
16.0ms11×2valid
14.0ms5exit
12.0ms3valid
Compiler

Compiled 204 to 31 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 21.0ms (32.9% of total)
ival-div: 19.0ms (29.8% of total)
backward-pass: 8.0ms (12.5% of total)
ival-add: 7.0ms (11% of total)
compiled-spec: 6.0ms (9.4% of total)
const: 2.0ms (3.1% of total)
ival-sub: 2.0ms (3.1% of total)

series25.0ms (0.3%)

Counts
16 → 312
Calls
Call 1
Inputs
#<alt (+ (* x 3/2) (/ y -2))>
#<alt (/ y -2)>
#<alt (* -1/2 y)>
#<alt (/ 1 (/ 1 (+ (/ y -2) (* x 3/2))))>
#<alt (/ 1 (+ (/ y -2) (* x 3/2)))>
#<alt (+ (/ y -2) (* x 3/2))>
#<alt (/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2)))>
#<alt (- (* x (* x 9/4)) (/ y (/ 4 y)))>
#<alt (* x (* x 9/4))>
#<alt (* x 9/4)>
#<alt (* (+ (/ y -2) (* x 3/2)) (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2)))))>
#<alt (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2))))>
#<alt (* x 3/2)>
#<alt (/ y (/ 4 y))>
#<alt (/ 1 (+ (/ y -2) (* x -3/2)))>
#<alt (+ (/ y -2) (* x -3/2))>
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 (* 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)>
#<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 (* -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 (* 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 (/ 2/3 x)>
#<alt (+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))>
#<alt (+ (* y (+ (* 2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))>
#<alt (+ (* y (+ (* y (+ (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))>
#<alt (/ -2 y)>
#<alt (/ (- (* -6 (/ x y)) 2) y)>
#<alt (/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* 6 (/ x y)))) y)>
#<alt (/ (- (* -54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* 6 (/ x y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* 6 x)) y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* 6 x)) y))) y))>
#<alt (/ -2 y)>
#<alt (- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (/ 2/3 x)>
#<alt (/ (+ 2/3 (* 2/9 (/ y x))) x)>
#<alt (/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x)>
#<alt (/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 2/3 x)>
#<alt (* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x))>
#<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 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 (* -1/4 (pow y 2))>
#<alt (- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (* 9/4 (pow x 2))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* 9/4 (pow x 2))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* 9/4 (pow x 2))>
#<alt (+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))>
#<alt (+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))>
#<alt (+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))>
#<alt (* -1/4 (pow y 2))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* -1/4 (pow y 2))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<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>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<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 (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (/ -2/3 x)>
#<alt (- (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))>
#<alt (- (* y (+ (* -2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))>
#<alt (- (* y (+ (* y (- (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))>
#<alt (/ -2 y)>
#<alt (/ (- (* 6 (/ x y)) 2) y)>
#<alt (/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* -6 (/ x y)))) y)>
#<alt (/ (- (* 54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* -6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* -6 (/ x y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* -6 x)) y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* -54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* -6 x)) y))) y))>
#<alt (/ -2 y)>
#<alt (- (* 6 (/ x (pow y 2))) (* 2 (/ 1 y)))>
#<alt (- (* x (+ (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (- (* x (+ (* x (- (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (/ -2/3 x)>
#<alt (/ (- (* 2/9 (/ y x)) 2/3) x)>
#<alt (/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x)>
#<alt (/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x)>
#<alt (/ -2/3 x)>
#<alt (* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x))>
#<alt (* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x))>
#<alt (* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x))>
#<alt (* -3/2 x)>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<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 (+ (* -3/2 x) (* -1/2 y))>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (* -3/2 x)>
#<alt (* x (- (* -1/2 (/ y x)) 3/2))>
#<alt (* x (- (* -1/2 (/ y x)) 3/2))>
#<alt (* x (- (* -1/2 (/ y x)) 3/2))>
#<alt (* -3/2 x)>
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))>
Calls

78 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
(/ 1 (+ (/ y -2) (* x 3/2)))
1.0ms
y
@inf
(/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2)))
1.0ms
x
@0
(/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2)))
1.0ms
y
@0
(/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2)))
1.0ms
y
@-inf
(/ 1 (+ (/ y -2) (* x 3/2)))

rewrite377.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
3696×*-lowering-*.f32
3696×*-lowering-*.f64
2520×/-lowering-/.f32
2520×/-lowering-/.f64
2078×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03085
116979
2179479
0833279
Stop Event
iter limit
node limit
Counts
16 → 1096
Calls
Call 1
Inputs
(+ (* x 3/2) (/ y -2))
(/ y -2)
(* -1/2 y)
(/ 1 (/ 1 (+ (/ y -2) (* x 3/2))))
(/ 1 (+ (/ y -2) (* x 3/2)))
(+ (/ y -2) (* x 3/2))
(/ (- (* x (* x 9/4)) (/ y (/ 4 y))) (+ (* x 3/2) (/ y 2)))
(- (* x (* x 9/4)) (/ y (/ 4 y)))
(* x (* x 9/4))
(* x 9/4)
(* (+ (/ y -2) (* x 3/2)) (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2)))))
(* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2))))
(* x 3/2)
(/ y (/ 4 y))
(/ 1 (+ (/ y -2) (* x -3/2)))
(+ (/ y -2) (* x -3/2))
Outputs
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (neg.f64 (*.f64 x #s(literal -3/2 binary64))))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) #s(literal -3/2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))
(+.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(+.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(+.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (*.f64 (neg.f64 x) #s(literal -3/2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal -4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))) (/.f64 y #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
(-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal -4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 x (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal -4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(fma.f64 #s(literal 3/2 binary64) x (/.f64 y #s(literal -2 binary64)))
(fma.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (neg.f64 (*.f64 x #s(literal -3/2 binary64))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal -3/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 (*.f64 x #s(literal -3/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 x) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (neg.f64 (*.f64 x #s(literal -3/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) #s(literal -3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (*.f64 (neg.f64 x) #s(literal -3/2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(fma.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(fma.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) #s(literal 1 binary64) (+.f64 (*.f64 (neg.f64 x) #s(literal -3/2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(fma.f64 (*.f64 x #s(literal 9/4 binary64)) (/.f64 x (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal -4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (+.f64 (/.f64 y (/.f64 #s(literal -4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 (+.f64 (/.f64 y (/.f64 #s(literal -4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(fma.f64 (+.f64 (/.f64 y (/.f64 #s(literal -4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 (neg.f64 x) #s(literal -3/2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
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(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) y) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal -1/2 binary64)) y)
(*.f64 (/.f64 y #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) y))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (neg.f64 (*.f64 x #s(literal 3/2 binary64))))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(+.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(+.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (+.f64 (*.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(+.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (+.f64 (*.f64 (neg.f64 x) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(+.f64 (neg.f64 (*.f64 x #s(literal 3/2 binary64))) (/.f64 y #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) #s(literal -1 binary64))))
(-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))
(fma.f64 x #s(literal -3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal -3/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (neg.f64 (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal -3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (neg.f64 (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (+.f64 (*.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (+.f64 (*.f64 (neg.f64 x) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 #s(literal -3/2 binary64) x (/.f64 y #s(literal -2 binary64)))
(fma.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal 1 binary64) (+.f64 (*.f64 (neg.f64 x) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 (neg.f64 x) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (*.f64 x #s(literal -3/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (neg.f64 (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(fma.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))) (+.f64 (*.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))) (+.f64 (*.f64 (neg.f64 x) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))) (+.f64 (*.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))) (+.f64 (*.f64 (neg.f64 x) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(neg.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))))
(/.f64 (+.f64 (/.f64 y (/.f64 #s(literal -4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(/.f64 (+.f64 (/.f64 y (/.f64 #s(literal -4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64))))
(/.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64))))))
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64))) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) y)))))
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 #s(literal -2 binary64) y))))
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))))
(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64)))) (neg.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))) (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 (*.f64 (*.f64 x #s(literal 3/2 binary64)) y) #s(literal -2 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64))))))
(pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))))
(*.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

simplify294.0ms (3.8%)

Algorithm
egg-herbie
Rules
3976×*-lowering-*.f32
3976×*-lowering-*.f64
1820×fma-lowering-fma.f32
1820×fma-lowering-fma.f64
1582×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02802153
19341977
226051926
375361926
082921926
Stop Event
iter limit
node limit
Counts
312 → 312
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)))
(* 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)
(* -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)
(* -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)
(* 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)))
(/ 2/3 x)
(+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))
(+ (* y (+ (* 2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(+ (* y (+ (* y (+ (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(/ -2 y)
(/ (- (* -6 (/ x y)) 2) y)
(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* 6 (/ x y)))) y)
(/ (- (* -54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* 6 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* 6 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* 6 x)) y))) y))
(/ -2 y)
(- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ 2/3 x)
(/ (+ 2/3 (* 2/9 (/ y x))) x)
(/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x)
(/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x)
(/ 2/3 x)
(* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))
(* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x))
(* 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 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)))))
(* -1/4 (pow y 2))
(- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))
(- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))
(- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))
(* 9/4 (pow x 2))
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))
(* 9/4 (pow x 2))
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))
(* 9/4 (pow x 2))
(+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))
(+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))
(+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))
(* -1/4 (pow y 2))
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))
(* -1/4 (pow y 2))
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(* 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)
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(/ -2/3 x)
(- (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))
(- (* y (+ (* -2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(- (* y (+ (* y (- (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(/ -2 y)
(/ (- (* 6 (/ x y)) 2) y)
(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* -6 (/ x y)))) y)
(/ (- (* 54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* -6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* -6 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* -6 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* -54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* -6 x)) y))) y))
(/ -2 y)
(- (* 6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (+ (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (+ (* x (- (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ -2/3 x)
(/ (- (* 2/9 (/ y x)) 2/3) x)
(/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x)
(/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x)
(/ -2/3 x)
(* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x))
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x))
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x))
(* -3/2 x)
(+ (* -3/2 x) (* -1/2 y))
(+ (* -3/2 x) (* -1/2 y))
(+ (* -3/2 x) (* -1/2 y))
(* -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)
(+ (* -3/2 x) (* -1/2 y))
(+ (* -3/2 x) (* -1/2 y))
(+ (* -3/2 x) (* -1/2 y))
(* -3/2 x)
(* x (- (* -1/2 (/ y x)) 3/2))
(* x (- (* -1/2 (/ y x)) 3/2))
(* x (- (* -1/2 (/ y x)) 3/2))
(* -3/2 x)
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))
(* -1 (* x (+ 3/2 (* 1/2 (/ y 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 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)))
(* 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))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -3/2 (/ 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)
(*.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)
(* -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)
(* 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))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -3/2 (/ 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) (* 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)))
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))
(/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 y x) #s(literal 2/9 binary64))) x)
(+ (* y (+ (* 2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 2/27 binary64) (/.f64 (*.f64 y y) x)) x) x) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 y x) #s(literal 2/9 binary64))) x))
(+ (* y (+ (* y (+ (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 y #s(literal 2/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 2/27 binary64) (*.f64 x x)) x)) (*.f64 y y)) (/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 y x) #s(literal 2/9 binary64))) x))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ (- (* -6 (/ x y)) 2) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -6 binary64)) y)) y)
(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* 6 (/ x y)))) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -18 binary64))) y) (*.f64 x #s(literal -6 binary64))) y)) y)
(/ (- (* -54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -54 binary64))) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -18 binary64))) y) (*.f64 x #s(literal -6 binary64))) y))) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* -1 (/ (+ 2 (* 6 (/ x y))) y))
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(* 1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/4 binary64))
(* 1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/4 binary64))
(* 1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/4 binary64))
(* 1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/4 binary64))
(* 1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/4 binary64))
(* 1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/4 binary64))
(* 1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/4 binary64))
(* 1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/4 binary64))
(* 1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/4 binary64))
(* 1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/4 binary64))
(* 1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/4 binary64))
(/ -2/3 x)
(/.f64 #s(literal -2/3 binary64) x)
(- (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))
(/.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 y x) #s(literal 2/9 binary64))) x)
(- (* y (+ (* -2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2/27 binary64) (/.f64 (*.f64 y y) x)) (*.f64 y #s(literal 2/9 binary64))) x)) x)
(- (* y (+ (* y (- (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(+.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 y #s(literal 2/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -2/27 binary64) (*.f64 x x)) x))) (/.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 y x) #s(literal 2/9 binary64))) x))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ (- (* 6 (/ x y)) 2) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal 6 binary64)) y)) y)
(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* -6 (/ x y)))) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -18 binary64))) y) (*.f64 x #s(literal 6 binary64))) y)) y)
(/ (- (* 54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* -6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)
(/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 54 binary64))) y) y) y)) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -18 binary64))) y) (*.f64 x #s(literal 6 binary64))) y)) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* -1 (/ (+ 2 (* -6 (/ x y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal 6 binary64)) y)) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* -6 x)) y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -18 binary64))) y) (*.f64 x #s(literal 6 binary64))) y)) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* -54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* -6 x)) y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -54 binary64))) y) (*.f64 x (*.f64 x #s(literal 18 binary64)))) y)) y)) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* 6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal 6 binary64)) y)) y)
(- (* x (+ (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -18 binary64))) y) (*.f64 x #s(literal 6 binary64))) y)) y)
(- (* x (+ (* x (- (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 x #s(literal 54 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -18 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal 6 binary64)) y)) y))
(/ -2/3 x)
(/.f64 #s(literal -2/3 binary64) x)
(/ (- (* 2/9 (/ y x)) 2/3) x)
(/.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 y x) #s(literal 2/9 binary64))) x)
(/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x)
(/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2/27 binary64) (/.f64 (*.f64 y y) x)) (*.f64 y #s(literal 2/9 binary64))) x)) x)
(/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 2/81 binary64) (/.f64 (*.f64 y (*.f64 y (/.f64 (/.f64 y x) x))) x)) #s(literal -2/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 2/27 binary64) (/.f64 (*.f64 y y) x)) (*.f64 y #s(literal -2/9 binary64))) x)) x)
(/ -2/3 x)
(/.f64 #s(literal -2/3 binary64) x)
(* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x))
(/.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 y x) #s(literal 2/9 binary64))) x)
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x))
(/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2/27 binary64) (/.f64 (*.f64 y y) x)) (*.f64 y #s(literal 2/9 binary64))) x)) x)
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x))
(/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal -2/27 binary64))) (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 2/81 binary64)))) x)) x) (*.f64 y #s(literal 2/9 binary64))) x)) x)
(* -3/2 x)
(*.f64 x #s(literal -3/2 binary64))
(+ (* -3/2 x) (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64)))
(+ (* -3/2 x) (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64)))
(+ (* -3/2 x) (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64)))
(* -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 (/.f64 x y) #s(literal -3/2 binary64))))
(* y (- (* -3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -3/2 binary64))))
(* y (- (* -3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -3/2 binary64))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -3/2 binary64))))
(* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -3/2 binary64))))
(* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -3/2 binary64))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -3/2 x) (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64)))
(+ (* -3/2 x) (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64)))
(+ (* -3/2 x) (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64)))
(* -3/2 x)
(*.f64 x #s(literal -3/2 binary64))
(* x (- (* -1/2 (/ y x)) 3/2))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal -3/2 binary64)))
(* x (- (* -1/2 (/ y x)) 3/2))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal -3/2 binary64)))
(* x (- (* -1/2 (/ y x)) 3/2))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal -3/2 binary64)))
(* -3/2 x)
(*.f64 x #s(literal -3/2 binary64))
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal -3/2 binary64)))
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal -3/2 binary64)))
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal -3/2 binary64)))

eval256.0ms (3.3%)

Compiler

Compiled 46237 to 2279 computations (95.1% saved)

prune209.0ms (2.7%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New181241816
Fresh235
Picked235
Done011
Total1816111827
Accuracy
100.0%
Counts
1827 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
56.2%
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
36.2%
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))
35.7%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal -1/4 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
24.7%
(/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
47.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))))
90.0%
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
47.5%
(*.f64 #s(literal 3/2 binary64) x)
54.2%
(*.f64 #s(literal -1/2 binary64) y)
Compiler

Compiled 281 to 202 computations (28.1% saved)

simplify193.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y #s(literal -2 binary64))
cost-diff0
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))))
cost-diff0
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 9/4 binary64))
cost-diff0
(/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(literal 2/3 binary64) x)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
cost-diff0
(*.f64 #s(literal 3/2 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))))
Rules
4726×*-lowering-*.f32
4726×*-lowering-*.f64
2714×associate-/r/
2406×fma-define
1984×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034147
175139
2161136
3316134
4457134
51002134
62987134
73787134
84061134
94256134
104363134
114455134
125178134
136624134
08187134
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* 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
(* 3/2 x)
3/2
x
(/ 1 (/ 2/3 x))
1
(/ 2/3 x)
2/3
x
(/ (* (* x x) 9/4) (+ (* x 3/2) (/ y 2)))
(* (* x x) 9/4)
(* x x)
x
9/4
(+ (* x 3/2) (/ y 2))
(* x 3/2)
3/2
(/ y 2)
y
2
(* (/ 1 (+ (/ y -2) (* x -3/2))) (+ (/ y (/ 4 y)) (* (* x x) -9/4)))
(/ 1 (+ (/ y -2) (* x -3/2)))
1
(+ (/ y -2) (* x -3/2))
(/ y -2)
y
-2
(* x -3/2)
x
-3/2
(+ (/ y (/ 4 y)) (* (* x x) -9/4))
(/ y (/ 4 y))
(/ 4 y)
4
(* (* x x) -9/4)
(* x x)
-9/4
Outputs
(* y (+ -1/2 (* 3/2 (/ x y))))
(+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal -2 binary64)))
y
(+ -1/2 (* 3/2 (/ x y)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))
-1/2
#s(literal -1/2 binary64)
(* 3/2 (/ x y))
(/.f64 #s(literal 3/2 binary64) (/.f64 y x))
3/2
#s(literal 3/2 binary64)
(/ x y)
(/.f64 x y)
x
(* 3/2 x)
(/.f64 x #s(literal 2/3 binary64))
3/2
#s(literal 3/2 binary64)
x
(/ 1 (/ 2/3 x))
(/.f64 x #s(literal 2/3 binary64))
1
#s(literal 1 binary64)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
2/3
#s(literal 2/3 binary64)
x
(/ (* (* x x) 9/4) (+ (* x 3/2) (/ y 2)))
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64))))
(* (* x x) 9/4)
(*.f64 x (*.f64 x #s(literal 9/4 binary64)))
(* x x)
(*.f64 x x)
x
9/4
#s(literal 9/4 binary64)
(+ (* x 3/2) (/ y 2))
(+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64)))
(* x 3/2)
(/.f64 x #s(literal 2/3 binary64))
3/2
#s(literal 3/2 binary64)
(/ y 2)
(/.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
(* (/ 1 (+ (/ y -2) (* x -3/2))) (+ (/ y (/ 4 y)) (* (* x x) -9/4)))
(/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal -9/4 binary64)))) (+.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64))))
(/ 1 (+ (/ y -2) (* x -3/2)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ (/ y -2) (* x -3/2))
(+.f64 (*.f64 x #s(literal -3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(/ y -2)
(/.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(* x -3/2)
(*.f64 x #s(literal -3/2 binary64))
x
-3/2
#s(literal -3/2 binary64)
(+ (/ y (/ 4 y)) (* (* x x) -9/4))
(+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 x #s(literal -9/4 binary64))))
(/ y (/ 4 y))
(/.f64 y (/.f64 #s(literal 4 binary64) y))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
(* (* x x) -9/4)
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* x x)
(*.f64 x x)
-9/4
#s(literal -9/4 binary64)

localize527.0ms (6.8%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 (*.f64 x x) #s(literal -9/4 binary64))
accuracy99.8%
(/.f64 y (/.f64 #s(literal 4 binary64) y))
accuracy97.2%
(+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))
accuracy73.4%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 x #s(literal 3/2 binary64))
accuracy99.9%
(*.f64 (*.f64 x x) #s(literal 9/4 binary64))
accuracy81.2%
(/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
accuracy99.6%
(/.f64 #s(literal 2/3 binary64) x)
accuracy100.0%
(*.f64 #s(literal 3/2 binary64) x)
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
accuracy99.7%
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
accuracy93.1%
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
Results
302.0ms92×5exit
132.0ms164×0valid
Compiler

Compiled 163 to 35 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
ival-div: 64.0ms (35.4% of total)
ival-mult: 37.0ms (20.5% of total)
backward-pass: 34.0ms (18.8% of total)
...c/correct-round.rkt:119:19: 30.0ms (16.6% of total)
ival-add: 13.0ms (7.2% of total)
const: 3.0ms (1.7% of total)

series19.0ms (0.3%)

Counts
19 → 348
Calls
Call 1
Inputs
#<alt (* y (+ -1/2 (* 3/2 (/ x y))))>
#<alt (+ -1/2 (* 3/2 (/ x y)))>
#<alt (* 3/2 (/ x y))>
#<alt (/ x y)>
#<alt (* 3/2 x)>
#<alt (/ 1 (/ 2/3 x))>
#<alt (/ 2/3 x)>
#<alt (/ (* (* x x) 9/4) (+ (* x 3/2) (/ y 2)))>
#<alt (* (* x x) 9/4)>
#<alt (* x x)>
#<alt (+ (* x 3/2) (/ y 2))>
#<alt (* (/ 1 (+ (/ y -2) (* x -3/2))) (+ (/ y (/ 4 y)) (* (* x x) -9/4)))>
#<alt (/ 1 (+ (/ y -2) (* x -3/2)))>
#<alt (+ (/ y -2) (* x -3/2))>
#<alt (/ y -2)>
#<alt (* x 3/2)>
#<alt (+ (/ y (/ 4 y)) (* (* x x) -9/4))>
#<alt (/ y (/ 4 y))>
#<alt (* (* x x) -9/4)>
Outputs
#<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 (* 3/2 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 (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))>
#<alt (* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))>
#<alt (+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)>
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y)>
#<alt (/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y)>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (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 (* 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 (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<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 (* -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 (/ -2/3 x)>
#<alt (- (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))>
#<alt (- (* y (+ (* -2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))>
#<alt (- (* y (+ (* y (- (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))>
#<alt (/ -2 y)>
#<alt (/ (- (* 6 (/ x y)) 2) y)>
#<alt (/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* -6 (/ x y)))) y)>
#<alt (/ (- (* 54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* -6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* -6 (/ x y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* -6 x)) y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* -54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* -6 x)) y))) y))>
#<alt (/ -2 y)>
#<alt (- (* 6 (/ x (pow y 2))) (* 2 (/ 1 y)))>
#<alt (- (* x (+ (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (- (* x (+ (* x (- (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (/ -2/3 x)>
#<alt (/ (- (* 2/9 (/ y x)) 2/3) x)>
#<alt (/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x)>
#<alt (/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x)>
#<alt (/ -2/3 x)>
#<alt (* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x))>
#<alt (* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x))>
#<alt (* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x))>
#<alt (* -3/2 x)>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<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 (+ (* -3/2 x) (* -1/2 y))>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (* -3/2 x)>
#<alt (* x (- (* -1/2 (/ y x)) 3/2))>
#<alt (* x (- (* -1/2 (/ y x)) 3/2))>
#<alt (* x (- (* -1/2 (/ y x)) 3/2))>
#<alt (* -3/2 x)>
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))>
#<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 (* 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 (* -9/4 (pow x 2))>
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* 1/4 (pow y 2))>
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (* -9/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))>
#<alt (* -9/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
Calls

87 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ (* (* x x) 9/4) (+ (* x 3/2) (/ y 2)))
2.0ms
x
@-inf
(* 3/2 (/ x y))
1.0ms
y
@0
(* y (+ -1/2 (* 3/2 (/ x y))))
1.0ms
y
@-inf
(* y (+ -1/2 (* 3/2 (/ x y))))
1.0ms
x
@inf
(* y (+ -1/2 (* 3/2 (/ x y))))

rewrite435.0ms (5.6%)

Algorithm
batch-egg-rewrite
Rules
3982×/-lowering-/.f32
3982×/-lowering-/.f64
3698×*-lowering-*.f32
3698×*-lowering-*.f64
1666×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034115
118695
2185295
0842395
Stop Event
iter limit
node limit
Counts
19 → 863
Calls
Call 1
Inputs
(* y (+ -1/2 (* 3/2 (/ x y))))
(+ -1/2 (* 3/2 (/ x y)))
(* 3/2 (/ x y))
(/ x y)
(* 3/2 x)
(/ 1 (/ 2/3 x))
(/ 2/3 x)
(/ (* (* x x) 9/4) (+ (* x 3/2) (/ y 2)))
(* (* x x) 9/4)
(* x x)
(+ (* x 3/2) (/ y 2))
(* (/ 1 (+ (/ y -2) (* x -3/2))) (+ (/ y (/ 4 y)) (* (* x x) -9/4)))
(/ 1 (+ (/ y -2) (* x -3/2)))
(+ (/ y -2) (* x -3/2))
(/ y -2)
(* x 3/2)
(+ (/ y (/ 4 y)) (* (* x x) -9/4))
(/ y (/ 4 y))
(* (* x x) -9/4)
Outputs
(+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y))
(+.f64 (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y) (/.f64 y #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (-.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y))) (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)) (-.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y))))
(fma.f64 y #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y))
(fma.f64 y (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) (/.f64 y #s(literal -2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y))
(fma.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 x y) y) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 x y) (*.f64 #s(literal 3/2 binary64) y) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) y) y (/.f64 y #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y))
(fma.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 x y) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (*.f64 y (/.f64 x y)) #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
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(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y))) (-.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x #s(literal 2/3 binary64)) y) y)))
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(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)))
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(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) y)) (/.f64 y (/.f64 #s(literal -4 binary64) y)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -4 binary64) y))
(/.f64 (/.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y y) #s(literal 4 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) y))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) y)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y) #s(literal -4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (/.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 4 binary64) y))
(/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) y) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64))
(/.f64 (*.f64 y (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 y (/.f64 y #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal -4 binary64) y))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) y))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) y))))
(/.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64))
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(/.f64 (neg.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 y (/.f64 y #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 y (/.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y #s(literal -2 binary64)))) #s(literal -2 binary64))
(pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 y (/.f64 y #s(literal 4 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 y #s(literal 2 binary64))))
(*.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y #s(literal -2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 4 binary64) y)))
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))
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(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y)))
(*.f64 #s(literal 1/4 binary64) (*.f64 y y))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y #s(literal 4 binary64)) y)
(*.f64 (/.f64 y #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
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(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 y y) #s(literal 1/4 binary64))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 y #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) y))
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(*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1/4 binary64) (/.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 y #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))
(neg.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(*.f64 x (neg.f64 (*.f64 x #s(literal 9/4 binary64))))
(*.f64 (*.f64 x x) #s(literal -9/4 binary64))
(*.f64 #s(literal 9/4 binary64) (neg.f64 (*.f64 x x)))
(*.f64 #s(literal -9/4 binary64) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 9/4 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 9/4 binary64)))
(*.f64 (*.f64 x #s(literal -9/4 binary64)) x)
(*.f64 (neg.f64 (*.f64 x x)) #s(literal 9/4 binary64))

simplify307.0ms (4%)

Algorithm
egg-herbie
Rules
5074×*-lowering-*.f32
5074×*-lowering-*.f64
1712×/-lowering-/.f32
1712×/-lowering-/.f64
1524×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03222335
110162149
228742106
374912106
082512106
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* 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)
(* 3/2 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)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(* 9/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))
(* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))
(+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))
(* 9/2 (/ (pow x 2) y))
(/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)
(/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y)
(/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y)
(* 9/2 (/ (pow x 2) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (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)))
(* 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 (+ 1/2 (* 3/2 (/ x y))))
(* y (+ 1/2 (* 3/2 (/ x y))))
(* y (+ 1/2 (* 3/2 (/ x y))))
(* 1/2 y)
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(* 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)))))
(* -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)))
(/ -2/3 x)
(- (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))
(- (* y (+ (* -2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(- (* y (+ (* y (- (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(/ -2 y)
(/ (- (* 6 (/ x y)) 2) y)
(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* -6 (/ x y)))) y)
(/ (- (* 54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* -6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* -6 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* -6 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* -54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* -6 x)) y))) y))
(/ -2 y)
(- (* 6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (+ (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (+ (* x (- (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ -2/3 x)
(/ (- (* 2/9 (/ y x)) 2/3) x)
(/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x)
(/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x)
(/ -2/3 x)
(* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x))
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x))
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x))
(* -3/2 x)
(+ (* -3/2 x) (* -1/2 y))
(+ (* -3/2 x) (* -1/2 y))
(+ (* -3/2 x) (* -1/2 y))
(* -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)
(+ (* -3/2 x) (* -1/2 y))
(+ (* -3/2 x) (* -1/2 y))
(+ (* -3/2 x) (* -1/2 y))
(* -3/2 x)
(* x (- (* -1/2 (/ y x)) 3/2))
(* x (- (* -1/2 (/ y x)) 3/2))
(* x (- (* -1/2 (/ y x)) 3/2))
(* -3/2 x)
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))
(* -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)
(* 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)
(* -9/4 (pow x 2))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(* 1/4 (pow y 2))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(* -9/4 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(* -9/4 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
Outputs
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -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))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -3/2 (/ 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) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* 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)))
-1/2
#s(literal -1/2 binary64)
(- (* 3/2 (/ x y)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(- (* 3/2 (/ x y)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(- (* 3/2 (/ x y)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) y)
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) y)
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(/.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)) y)
-1/2
#s(literal -1/2 binary64)
(- (* 3/2 (/ x y)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(- (* 3/2 (/ x y)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(- (* 3/2 (/ x y)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
-1/2
#s(literal -1/2 binary64)
(- (* 3/2 (/ x y)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(- (* 3/2 (/ x y)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(- (* 3/2 (/ x y)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(* 3/2 (/ x y))
(*.f64 #s(literal 3/2 binary64) (/.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)
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(/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x)
(/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -2/27 binary64))) x) (*.f64 y #s(literal 2/9 binary64))) x)) x)
(/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x)
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 2/81 binary64))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -2/27 binary64))) x) (*.f64 y #s(literal 2/9 binary64))) x))) x)
(/ -2/3 x)
(/.f64 #s(literal -2/3 binary64) x)
(* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x))
(/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x)
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x))
(/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -2/27 binary64))) x) (*.f64 y #s(literal 2/9 binary64))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x))
(/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 2/9 binary64)) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) x) #s(literal -2/81 binary64)) (*.f64 y (*.f64 y #s(literal 2/27 binary64)))) x)) x)) x)
(* -3/2 x)
(*.f64 x #s(literal -3/2 binary64))
(+ (* -3/2 x) (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64)))
(+ (* -3/2 x) (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64)))
(+ (* -3/2 x) (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64)))
(* -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 (*.f64 x #s(literal -3/2 binary64)) y)))
(* y (- (* -3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal -3/2 binary64)) y)))
(* y (- (* -3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal -3/2 binary64)) y)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal -3/2 binary64)) y)))
(* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal -3/2 binary64)) y)))
(* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal -3/2 binary64)) y)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -3/2 x) (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64)))
(+ (* -3/2 x) (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64)))
(+ (* -3/2 x) (* -1/2 y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -3/2 binary64)))
(* -3/2 x)
(*.f64 x #s(literal -3/2 binary64))
(* 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 (/ y x)) 3/2))
(*.f64 x (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* x (- (* -1/2 (/ y x)) 3/2))
(*.f64 x (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* -3/2 x)
(*.f64 x #s(literal -3/2 binary64))
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))
(*.f64 x (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))
(*.f64 x (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))
(*.f64 x (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* -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)
(* 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)
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(+.f64 (*.f64 x (*.f64 x #s(literal -9/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(+.f64 (*.f64 x (*.f64 x #s(literal -9/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(+.f64 (*.f64 x (*.f64 x #s(literal -9/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -9/4 binary64) (/.f64 (*.f64 x x) y)) y)))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -9/4 binary64) (/.f64 (*.f64 x x) y)) y)))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -9/4 binary64) (/.f64 (*.f64 x x) y)) y)))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -9/4 binary64) (/.f64 (*.f64 x x) y)) y)))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -9/4 binary64) (/.f64 (*.f64 x x) y)) y)))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -9/4 binary64) (/.f64 (*.f64 x x) y)) y)))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(+.f64 (*.f64 x (*.f64 x #s(literal -9/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(+.f64 (*.f64 x (*.f64 x #s(literal -9/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(+.f64 (*.f64 x (*.f64 x #s(literal -9/4 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(*.f64 (*.f64 x x) (+.f64 #s(literal -9/4 binary64) (*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) #s(literal 1/4 binary64))))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(*.f64 (*.f64 x x) (+.f64 #s(literal -9/4 binary64) (*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) #s(literal 1/4 binary64))))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(*.f64 (*.f64 x x) (+.f64 #s(literal -9/4 binary64) (*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) #s(literal 1/4 binary64))))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(*.f64 (*.f64 x x) (+.f64 #s(literal -9/4 binary64) (*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) #s(literal 1/4 binary64))))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(*.f64 (*.f64 x x) (+.f64 #s(literal -9/4 binary64) (*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) #s(literal 1/4 binary64))))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(*.f64 (*.f64 x x) (+.f64 #s(literal -9/4 binary64) (*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) #s(literal 1/4 binary64))))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* 1/4 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/4 binary64)))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))
(* -9/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9/4 binary64)))

eval179.0ms (2.3%)

Compiler

Compiled 28087 to 2795 computations (90% saved)

prune137.0ms (1.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New122451229
Fresh112
Picked415
Done134
Total1230101240
Accuracy
100.0%
Counts
1240 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.2%
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
35.7%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal -1/4 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
25.0%
(/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 #s(literal 3/2 binary64) x))
47.3%
(/.f64 x #s(literal 2/3 binary64))
47.4%
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
90.0%
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))))
46.9%
(*.f64 x (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64)))))
47.5%
(*.f64 #s(literal 3/2 binary64) x)
54.2%
(*.f64 #s(literal -1/2 binary64) y)
Compiler

Compiled 188 to 138 computations (26.6% saved)

simplify323.0ms (4.2%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64)))
cost-diff0
(*.f64 x #s(literal 9/4 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64))))
cost-diff0
(*.f64 x (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64)))))
cost-diff0
(*.f64 #s(literal 3/2 binary64) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 9/4 binary64))
cost-diff384
(/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 #s(literal 3/2 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff128
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 x #s(literal 2/3 binary64))
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 #s(literal 3/2 binary64) (/.f64 y x))
cost-diff0
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))
cost-diff128
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))))
Rules
7476×*-lowering-*.f32
7476×*-lowering-*.f64
2196×cube-prod
1914×/-lowering-/.f32
1914×/-lowering-/.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024100
15598
211398
321598
469996
5348193
6420893
7498193
8618793
9665493
10676193
11683793
12691093
13697593
0831093
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* y (+ -1/2 (/ 3/2 (/ y x))))
y
(+ -1/2 (/ 3/2 (/ y x)))
-1/2
(/ 3/2 (/ y x))
3/2
(/ y x)
x
(/ x 2/3)
x
2/3
(/ 3/2 (/ 1 x))
3/2
(/ 1 x)
1
x
(/ (* (* x x) 9/4) (* 3/2 x))
(* (* x x) 9/4)
(* x x)
x
9/4
(* 3/2 x)
3/2
(* x (/ (* x 9/4) (+ (/ x 2/3) (/ y 2))))
x
(/ (* x 9/4) (+ (/ x 2/3) (/ y 2)))
(* x 9/4)
9/4
(+ (/ x 2/3) (/ y 2))
(/ x 2/3)
2/3
(/ y 2)
y
2
Outputs
(* y (+ -1/2 (/ 3/2 (/ y x))))
(+.f64 (/.f64 x #s(literal 2/3 binary64)) (*.f64 y #s(literal -1/2 binary64)))
y
(+ -1/2 (/ 3/2 (/ y x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))
-1/2
#s(literal -1/2 binary64)
(/ 3/2 (/ y x))
(/.f64 #s(literal 3/2 binary64) (/.f64 y x))
3/2
#s(literal 3/2 binary64)
(/ y x)
(/.f64 y x)
x
(/ x 2/3)
(/.f64 x #s(literal 2/3 binary64))
x
2/3
#s(literal 2/3 binary64)
(/ 3/2 (/ 1 x))
(/.f64 x #s(literal 2/3 binary64))
3/2
#s(literal 3/2 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ (* (* x x) 9/4) (* 3/2 x))
(/.f64 x #s(literal 2/3 binary64))
(* (* x x) 9/4)
(*.f64 x (*.f64 x #s(literal 9/4 binary64)))
(* x x)
(*.f64 x x)
x
9/4
#s(literal 9/4 binary64)
(* 3/2 x)
(/.f64 x #s(literal 2/3 binary64))
3/2
#s(literal 3/2 binary64)
(* x (/ (* x 9/4) (+ (/ x 2/3) (/ y 2))))
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64))))
x
(/ (* x 9/4) (+ (/ x 2/3) (/ y 2)))
(/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64))))
(* x 9/4)
(*.f64 x #s(literal 9/4 binary64))
9/4
#s(literal 9/4 binary64)
(+ (/ x 2/3) (/ y 2))
(+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64)))
(/ x 2/3)
(/.f64 x #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
(/ y 2)
(/.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)

localize376.0ms (4.9%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x #s(literal 9/4 binary64))
accuracy99.9%
(*.f64 x (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64)))))
accuracy99.9%
(/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64))))
accuracy99.7%
(/.f64 x #s(literal 2/3 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal 3/2 binary64) x)
accuracy99.9%
(*.f64 (*.f64 x x) #s(literal 9/4 binary64))
accuracy69.6%
(/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 #s(literal 3/2 binary64) x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.8%
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy99.7%
(/.f64 x #s(literal 2/3 binary64))
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))
accuracy99.8%
(/.f64 #s(literal 3/2 binary64) (/.f64 y x))
accuracy93.1%
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))))
Results
250.0ms92×5exit
84.0ms164×0valid
Compiler

Compiled 115 to 25 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-div: 54.0ms (32.1% of total)
ival-mult: 47.0ms (27.9% of total)
...c/correct-round.rkt:119:19: 27.0ms (16% of total)
backward-pass: 27.0ms (16% of total)
ival-add: 11.0ms (6.5% of total)
const: 2.0ms (1.2% of total)

series8.0ms (0.1%)

Counts
15 → 264
Calls
Call 1
Inputs
#<alt (* y (+ -1/2 (/ 3/2 (/ y x))))>
#<alt (+ -1/2 (/ 3/2 (/ y x)))>
#<alt (/ 3/2 (/ y x))>
#<alt (/ y x)>
#<alt (/ x 2/3)>
#<alt (/ 3/2 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (* (* x x) 9/4) (* 3/2 x))>
#<alt (* (* x x) 9/4)>
#<alt (* x x)>
#<alt (* 3/2 x)>
#<alt (* x (/ (* x 9/4) (+ (/ x 2/3) (/ y 2))))>
#<alt (/ (* x 9/4) (+ (/ x 2/3) (/ y 2)))>
#<alt (* x 9/4)>
#<alt (+ (/ x 2/3) (/ y 2))>
Outputs
#<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 (* 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 -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 (* 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 (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y 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 (* 3/2 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 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 (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (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 (* 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 (* 9/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))>
#<alt (* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))>
#<alt (+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)>
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y)>
#<alt (/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y)>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y))>
#<alt (* 9/2 (/ x y))>
#<alt (* x (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))>
#<alt (* x (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* x (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt 3/2>
#<alt (+ 3/2 (* -1/2 (/ y x)))>
#<alt (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x)))>
#<alt (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))>
#<alt 3/2>
#<alt (+ 3/2 (* -1/2 (/ y x)))>
#<alt (+ 3/2 (* -1 (/ (- (* -1/6 (/ (pow y 2) x)) (* -1/2 y)) x)))>
#<alt (+ 3/2 (* -1 (/ (- (* -1 (/ (- (* -1/18 (/ (pow y 3) x)) (* -1/6 (pow y 2))) x)) (* -1/2 y)) x)))>
#<alt 3/2>
#<alt (+ 3/2 (* -1/2 (/ y x)))>
#<alt (+ 3/2 (* y (- (* 1/6 (/ y (pow x 2))) (* 1/2 (/ 1 x)))))>
#<alt (+ 3/2 (* y (- (* y (+ (* -1/18 (/ y (pow x 3))) (* 1/6 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))))>
#<alt (* 9/2 (/ x y))>
#<alt (/ (+ (* -27/2 (/ (pow x 2) y)) (* 9/2 x)) y)>
#<alt (/ (+ (* -27/2 (/ (pow x 2) y)) (+ (* 9/2 x) (* 81/2 (/ (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ (* -243/2 (/ (pow x 4) (pow y 3))) (+ (* -27/2 (/ (pow x 2) y)) (+ (* 9/2 x) (* 81/2 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (* 9/2 (/ x y))>
#<alt (* -1 (/ (+ (* -9/2 x) (* 27/2 (/ (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 x) (* -1 (/ (+ (* -27/2 (pow x 2)) (* 81/2 (/ (pow x 3) y))) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 x) (* -1 (/ (+ (* -27/2 (pow x 2)) (* -1 (/ (+ (* -81/2 (pow x 3)) (* 243/2 (/ (pow x 4) y))) y))) y))) y))>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 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 (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
Calls

66 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/ (* x 9/4) (+ (/ x 2/3) (/ y 2)))
0.0ms
y
@0
(/ (* x 9/4) (+ (/ x 2/3) (/ y 2)))
0.0ms
y
@-inf
(/ y x)
0.0ms
y
@-inf
(/ (* x 9/4) (+ (/ x 2/3) (/ y 2)))
0.0ms
y
@0
(/ y x)

rewrite339.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
4270×/-lowering-/.f32
4270×/-lowering-/.f64
3384×*-lowering-*.f32
3384×*-lowering-*.f64
1256×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02477
114972
2146172
0837272
Stop Event
iter limit
node limit
Counts
15 → 1028
Calls
Call 1
Inputs
(* y (+ -1/2 (/ 3/2 (/ y x))))
(+ -1/2 (/ 3/2 (/ y x)))
(/ 3/2 (/ y x))
(/ y x)
(/ x 2/3)
(/ 3/2 (/ 1 x))
(/ 1 x)
(/ (* (* x x) 9/4) (* 3/2 x))
(* (* x x) 9/4)
(* x x)
(* 3/2 x)
(* x (/ (* x 9/4) (+ (/ x 2/3) (/ y 2))))
(/ (* x 9/4) (+ (/ x 2/3) (/ y 2)))
(* x 9/4)
(+ (/ x 2/3) (/ y 2))
Outputs
(+.f64 (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64))) (/.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y))) (/.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y))))
(fma.f64 y #s(literal -1/2 binary64) (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64))))
(fma.f64 y (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (/.f64 y #s(literal -2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64))))
(fma.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 x y) y) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) y (/.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 3/2 binary64) y) (*.f64 x y) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 x y) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 y (/.f64 y #s(literal 3/2 binary64))) x (/.f64 y #s(literal -2 binary64)))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y))) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y)) (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))) (*.f64 y (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/2 binary64) (/.f64 y x))) (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x y) y) (*.f64 x #s(literal 9/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/2 binary64) (/.f64 y x))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x y) y) (*.f64 x #s(literal 9/4 binary64)))) y)))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64))))) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y))) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))))))
(/.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y x)) y)))
(/.f64 (*.f64 y (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))))
(/.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x y) y) (*.f64 x #s(literal 9/4 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/2 binary64) (/.f64 y x))))
(/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (*.f64 y (*.f64 y y)))) y) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 3/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 x y) y) (*.f64 x #s(literal 9/4 binary64)))) y) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/2 binary64) (/.f64 y x))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)))))) (neg.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y))) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y (/.f64 (/.f64 y x) #s(literal 3/2 binary64))))))))
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(*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4/9 binary64)) (/.f64 (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 2 binary64) y)))))
(*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 2/3 binary64) x)))))
(*.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4/9 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))
(*.f64 (+.f64 (/.f64 x (/.f64 y #s(literal 2 binary64))) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 2/3 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal -3/4 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2/3 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2/3 binary64) x)) (/.f64 (*.f64 x y) #s(literal 4/3 binary64)))
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2/3 binary64) x) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -2 binary64))))
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal -2/3 binary64) y)) #s(literal -3/4 binary64))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y #s(literal 2 binary64))) #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2/3 binary64) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal -2/3 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 3/4 binary64))
(*.f64 (+.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))))
(*.f64 (+.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (+.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (+.f64 (/.f64 (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2/3 binary64)))))
(*.f64 (+.f64 (*.f64 y #s(literal -2/3 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal -3/4 binary64))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) x)))
(*.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2/3 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 x y) #s(literal 4/3 binary64)))
(*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -2/3 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2/3 binary64)) (*.f64 #s(literal -2 binary64) x)) #s(literal -3/4 binary64))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x #s(literal 2/3 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2/3 binary64)))))
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2/3 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal 3/4 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 3/2 binary64)))) #s(literal -3/4 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4/9 binary64)) (/.f64 (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 2 binary64) y))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal 4/9 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal -2 binary64))))))
(*.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 x (*.f64 x #s(literal -9/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))

simplify251.0ms (3.3%)

Algorithm
egg-herbie
Rules
3178×*-lowering-*.f32
3178×*-lowering-*.f64
2956×fma-lowering-fma.f32
2956×fma-lowering-fma.f64
1898×fmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02521687
17651571
220841545
357441545
084921545
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(* 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)))
(* 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)
-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))
(* 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))
(/ 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)
(* 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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)
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (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)
(* 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)
(* 9/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))
(* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))
(+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))
(* 9/2 (/ (pow x 2) y))
(/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)
(/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y)
(/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y)
(* 9/2 (/ (pow x 2) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y))
(* 9/2 (/ x y))
(* x (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))
(* x (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
3/2
(+ 3/2 (* -1/2 (/ y x)))
(- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x)))
(- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))
3/2
(+ 3/2 (* -1/2 (/ y x)))
(+ 3/2 (* -1 (/ (- (* -1/6 (/ (pow y 2) x)) (* -1/2 y)) x)))
(+ 3/2 (* -1 (/ (- (* -1 (/ (- (* -1/18 (/ (pow y 3) x)) (* -1/6 (pow y 2))) x)) (* -1/2 y)) x)))
3/2
(+ 3/2 (* -1/2 (/ y x)))
(+ 3/2 (* y (- (* 1/6 (/ y (pow x 2))) (* 1/2 (/ 1 x)))))
(+ 3/2 (* y (- (* y (+ (* -1/18 (/ y (pow x 3))) (* 1/6 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))))
(* 9/2 (/ x y))
(/ (+ (* -27/2 (/ (pow x 2) y)) (* 9/2 x)) y)
(/ (+ (* -27/2 (/ (pow x 2) y)) (+ (* 9/2 x) (* 81/2 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -243/2 (/ (pow x 4) (pow y 3))) (+ (* -27/2 (/ (pow x 2) y)) (+ (* 9/2 x) (* 81/2 (/ (pow x 3) (pow y 2)))))) y)
(* 9/2 (/ x y))
(* -1 (/ (+ (* -9/2 x) (* 27/2 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -9/2 x) (* -1 (/ (+ (* -27/2 (pow x 2)) (* 81/2 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -9/2 x) (* -1 (/ (+ (* -27/2 (pow x 2)) (* -1 (/ (+ (* -81/2 (pow x 3)) (* 243/2 (/ (pow x 4) y))) y))) y))) y))
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 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 (+ 1/2 (* 3/2 (/ x y))))
(* y (+ 1/2 (* 3/2 (/ x y))))
(* y (+ 1/2 (* 3/2 (/ x y))))
(* 1/2 y)
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
Outputs
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -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 (*.f64 #s(literal 3/2 binary64) x) y)))
(* y (- (* 3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) x) y)))
(* y (- (* 3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) x) y)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) x) y)))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) x) y)))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) x) y)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* 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)))
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(+ 3/2 (* -1 (/ (- (* -1 (/ (- (* -1/18 (/ (pow y 3) x)) (* -1/6 (pow y 2))) x)) (* -1/2 y)) x)))
(+.f64 #s(literal 3/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (*.f64 y (*.f64 (/.f64 (*.f64 y y) x) #s(literal -1/18 binary64)))) x)) x))
3/2
#s(literal 3/2 binary64)
(+ 3/2 (* -1/2 (/ y x)))
(+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))
(+ 3/2 (* y (- (* 1/6 (/ y (pow x 2))) (* 1/2 (/ 1 x)))))
(+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal 1/6 binary64)) x))) x))
(+ 3/2 (* y (- (* y (+ (* -1/18 (/ y (pow x 3))) (* 1/6 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))))
(+.f64 #s(literal 3/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (*.f64 y (*.f64 (/.f64 (*.f64 y y) x) #s(literal -1/18 binary64)))) x)) x))
(* 9/2 (/ x y))
(/.f64 (*.f64 x #s(literal 9/2 binary64)) y)
(/ (+ (* -27/2 (/ (pow x 2) y)) (* 9/2 x)) y)
(/.f64 (+.f64 (*.f64 x (/.f64 (*.f64 x #s(literal -27/2 binary64)) y)) (*.f64 x #s(literal 9/2 binary64))) y)
(/ (+ (* -27/2 (/ (pow x 2) y)) (+ (* 9/2 x) (* 81/2 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (+.f64 (*.f64 x (/.f64 (*.f64 x #s(literal -27/2 binary64)) y)) (+.f64 (*.f64 x #s(literal 9/2 binary64)) (/.f64 (*.f64 #s(literal 81/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) y)) y))) y)
(/ (+ (* -243/2 (/ (pow x 4) (pow y 3))) (+ (* -27/2 (/ (pow x 2) y)) (+ (* 9/2 x) (* 81/2 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (+.f64 (*.f64 x #s(literal 9/2 binary64)) (/.f64 (*.f64 #s(literal 81/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) y)) y)) (+.f64 (*.f64 x (/.f64 (*.f64 x #s(literal -27/2 binary64)) y)) (/.f64 (*.f64 #s(literal -243/2 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y y))))) y)
(* 9/2 (/ x y))
(/.f64 (*.f64 x #s(literal 9/2 binary64)) y)
(* -1 (/ (+ (* -9/2 x) (* 27/2 (/ (pow x 2) y))) y))
(/.f64 (+.f64 (*.f64 x (/.f64 (*.f64 x #s(literal -27/2 binary64)) y)) (*.f64 x #s(literal 9/2 binary64))) y)
(* -1 (/ (+ (* -9/2 x) (* -1 (/ (+ (* -27/2 (pow x 2)) (* 81/2 (/ (pow x 3) y))) y))) y))
(/.f64 (-.f64 (*.f64 x #s(literal 9/2 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 27/2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) y) #s(literal -81/2 binary64))) y)) y)
(* -1 (/ (+ (* -9/2 x) (* -1 (/ (+ (* -27/2 (pow x 2)) (* -1 (/ (+ (* -81/2 (pow x 3)) (* 243/2 (/ (pow x 4) y))) y))) y))) y))
(/.f64 (-.f64 (*.f64 x #s(literal 9/2 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 27/2 binary64))) (/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81/2 binary64))) (/.f64 (*.f64 #s(literal -243/2 binary64) (pow.f64 x #s(literal 4 binary64))) y)) y)) y)) y)
(* 9/4 x)
(*.f64 x #s(literal 9/4 binary64))
(* 9/4 x)
(*.f64 x #s(literal 9/4 binary64))
(* 9/4 x)
(*.f64 x #s(literal 9/4 binary64))
(* 9/4 x)
(*.f64 x #s(literal 9/4 binary64))
(* 9/4 x)
(*.f64 x #s(literal 9/4 binary64))
(* 9/4 x)
(*.f64 x #s(literal 9/4 binary64))
(* 9/4 x)
(*.f64 x #s(literal 9/4 binary64))
(* 9/4 x)
(*.f64 x #s(literal 9/4 binary64))
(* 9/4 x)
(*.f64 x #s(literal 9/4 binary64))
(* 9/4 x)
(*.f64 x #s(literal 9/4 binary64))
(* 9/4 x)
(*.f64 x #s(literal 9/4 binary64))
(* 9/4 x)
(*.f64 x #s(literal 9/4 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ (* 1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* 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 y #s(literal 1/2 binary64)) x)))
(* x (+ 3/2 (* 1/2 (/ y x))))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)))
(* x (+ 3/2 (* 1/2 (/ y x))))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) 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 y #s(literal 1/2 binary64)) x)))
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)))
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* 1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* y (+ 1/2 (* 3/2 (/ x y))))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 3/2 (/ x y))))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 3/2 (/ x y))))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64)))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) y) #s(literal 1/2 binary64)))

eval178.0ms (2.3%)

Compiler

Compiled 20219 to 2729 computations (86.5% saved)

prune176.0ms (2.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New141021412
Fresh011
Picked325
Done044
Total141391422
Accuracy
100.0%
Counts
1422 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.9%
(/.f64 (/.f64 x (/.f64 #s(literal 2/3 binary64) x)) x)
56.2%
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
35.7%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal -1/4 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
47.4%
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64))
47.3%
(/.f64 x #s(literal 2/3 binary64))
47.4%
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
47.5%
(*.f64 #s(literal 3/2 binary64) x)
54.2%
(*.f64 #s(literal -1/2 binary64) y)
Compiler

Compiled 375 to 156 computations (58.4% saved)

regimes23.0ms (0.3%)

Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 x (/.f64 #s(literal 2/3 binary64) x)) x)
(*.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 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(*.f64 x (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal -1/4 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
Outputs
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
Calls

3 calls:

8.0ms
y
7.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
7.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes42.0ms (0.5%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 x (/.f64 #s(literal 2/3 binary64) x)) x)
(*.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 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(*.f64 x (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 y (/.f64 #s(literal 4 binary64) y))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal -1/4 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))
Outputs
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
Calls

3 calls:

8.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
6.0ms
x
6.0ms
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)

regimes9.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Outputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Calls

3 calls:

3.0ms
y
3.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms
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)

regimes5.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64))
Outputs
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
78.6%3x
77.5%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
(*.f64 #s(literal -1/2 binary64) y)
Outputs
(*.f64 #s(literal -1/2 binary64) y)
Calls

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
54.2%1y
54.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch34.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7.812051619316976e+73
1.7920371636487829e+90
17.0ms
-1.8791960561566012e+61
-5.724356247481417e+54
Results
15.0ms277×0valid
4.0ms2valid
2.0ms17×1valid
0.0ms3valid
Compiler

Compiled 242 to 200 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (39.6% of total)
ival-sub: 2.0ms (26.4% of total)
ival-add: 2.0ms (26.4% of total)
backward-pass: 1.0ms (13.2% of total)
const: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02138
13138
23638
33838
43938
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) (*.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) y)
Outputs
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) (*.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) (*.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))

soundness856.0ms (11.1%)

Rules
2380×*-lowering-*.f32
2380×*-lowering-*.f64
1944×*-lowering-*.f32
1944×*-lowering-*.f64
1924×fnmadd-define
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
026198
172198
2196198
3440198
4890198
52174198
65703198
08193198
0713
13212
228812
3476212
0855612
067
1127
2237
3467
4927
52277
66547
712006
820876
926566
1028066
028066
Stop Event
fuel
iter limit
saturated
iter limit
node limit
iter limit
node limit
Compiler

Compiled 110 to 73 computations (33.6% saved)

preprocess77.0ms (1%)

Compiler

Compiled 120 to 66 computations (45% saved)

end0.0ms (0%)

Profiling

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