Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A

Time bar (total: 8.3s)

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 8 computations (20% saved)

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

sample827.0ms (10%)

Results
474.0ms7625×0valid
35.0ms205×2valid
31.0ms287×1valid
30.0ms139×3valid
Precisions
Click to see histograms. Total time spent on operations: 264.0ms
ival-div: 112.0ms (42.4% of total)
ival-sub: 61.0ms (23.1% of total)
ival-mult: 61.0ms (23.1% of total)
const: 15.0ms (5.7% of total)
backward-pass: 15.0ms (5.7% of total)
Bogosity

preprocess65.0ms (0.8%)

Algorithm
egg-herbie
Rules
296×fnmsub-define
296×fmsub-define
296×fnmadd-define
204×fnmadd-define
198×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01734
14832
29626
323024
454524
593024
6106824
7108024
085
1155
2254
3414
4594
51004
61814
72854
83644
95614
106814
116954
06954
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- x (* (/ 3 8) y))
Outputs
(- x (* (/ 3 8) y))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
Call 2
Inputs
(- x (* (/ 3 8) y))
(- (neg x) (* (/ 3 8) y))
(- x (* (/ 3 8) (neg y)))
(neg (- (neg x) (* (/ 3 8) y)))
(neg (- x (* (/ 3 8) (neg y))))
(- y (* (/ 3 8) x))
Outputs
(- x (* (/ 3 8) y))
(fma y -3/8 x)
(- (neg x) (* (/ 3 8) y))
(fnmsub 3/8 y x)
(- x (* (/ 3 8) (neg y)))
(fma 3/8 y x)
(neg (- (neg x) (* (/ 3 8) y)))
(fma 3/8 y x)
(neg (- x (* (/ 3 8) (neg y))))
(fnmsub 3/8 y x)
(- y (* (/ 3 8) x))
(fma x -3/8 y)

explain106.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
00-0-(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
00-0-(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
00-0-#s(literal 3 binary64)
00-0-#s(literal 8 binary64)
00-0-y
Results
58.0ms476×0valid
6.0ms12×2valid
4.0ms10×3valid
2.0ms14×1valid
Compiler

Compiled 53 to 23 computations (56.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 5.0ms (33.4% of total)
ival-mult: 4.0ms (26.7% of total)
ival-sub: 3.0ms (20% of total)
backward-pass: 3.0ms (20% of total)
const: 1.0ms (6.7% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal -3/8 binary64))
cost-diff0
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
Rules
fma-lowering-fma.f32
fma-define
+-lowering-+.f64
*-lowering-*.f32
*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0511
1710
2910
0910
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ x (* y -3/8))
x
(* y -3/8)
y
-3/8
Outputs
(+ x (* y -3/8))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
x
(* y -3/8)
(*.f64 y #s(literal -3/8 binary64))
y
-3/8
#s(literal -3/8 binary64)

localize31.0ms (0.4%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y #s(literal -3/8 binary64))
accuracy99.9%
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
Results
18.0ms238×0valid
3.0ms2valid
1.0ms3valid
1.0ms1valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (41.6% of total)
ival-add: 2.0ms (41.6% of total)
backward-pass: 1.0ms (20.8% of total)
const: 0.0ms (0% of total)

series2.0ms (0%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (+ x (* y -3/8))>
#<alt (* y -3/8)>
Outputs
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(* y -3/8)
0.0ms
y
@inf
(+ x (* y -3/8))
0.0ms
y
@inf
(* y -3/8)
0.0ms
x
@0
(+ x (* y -3/8))
0.0ms
x
@inf
(+ x (* y -3/8))

rewrite337.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
3044×*-lowering-*.f32
3044×*-lowering-*.f64
2620×/-lowering-/.f32
2620×/-lowering-/.f64
1656×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058
1207
21777
319257
085647
Stop Event
iter limit
node limit
Counts
2 → 124
Calls
Call 1
Inputs
(+ x (* y -3/8))
(* y -3/8)
Outputs
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))) (+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))))) (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (+.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (+.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))))
(fma.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 #s(literal -3/8 binary64) y x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal -3/8 binary64)) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -19683/134217728 binary64))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))) (neg.f64 (+.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -19683/134217728 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))) (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))) (pow.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (/.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (*.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) (-.f64 (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 3/8 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal -3/8 binary64)) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -19683/134217728 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))))
(exp.f64 (log.f64 (*.f64 y #s(literal -3/8 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -3/8 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y #s(literal -3/8 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) y)
(*.f64 #s(literal -3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -3/8 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -3/8 binary64))) (exp.f64 (log.f64 y)))

simplify141.0ms (1.7%)

Algorithm
egg-herbie
Rules
1744×fnmadd-define
1606×fmsub-define
1582×fnmsub-define
1436×fmm-def
1428×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023138
166120
2186120
3499120
41449120
54063120
66264120
08007120
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)

eval19.0ms (0.2%)

Compiler

Compiled 5059 to 416 computations (91.8% saved)

prune22.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1537160
Fresh000
Picked011
Done000
Total1538161
Accuracy
100.0%
Counts
161 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
60.0%
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
59.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
99.9%
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
99.7%
(*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
50.7%
(*.f64 #s(literal -3/8 binary64) y)
51.3%
x
Compiler

Compiled 171 to 109 computations (36.3% saved)

simplify185.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 9/64 binary64))
cost-diff0
(*.f64 y (*.f64 y #s(literal 9/64 binary64)))
cost-diff0
(-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))
cost-diff0
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
cost-diff0
(*.f64 y #s(literal -3/8 binary64))
cost-diff0
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
cost-diff0
(*.f64 #s(literal -3/8 binary64) y)
cost-diff6272
(fma.f64 y #s(literal -3/8 binary64) x)
Rules
2370×fnmadd-define
1884×fma-define
1536×sum5-define
1488×sum4-define
1260×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01773
14270
28370
314770
429970
567670
6192070
7362970
8532370
9735970
10759670
11759870
12761370
13763270
14764070
0764070
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* y -3/8) x)
y
-3/8
x
x
(* -3/8 y)
-3/8
y
(/ 1 (/ 1 (+ x (* y -3/8))))
1
(/ 1 (+ x (* y -3/8)))
(+ x (* y -3/8))
x
(* y -3/8)
y
-3/8
(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))
(- (* y (* y 9/64)) (* x x))
(* y (* y 9/64))
y
(* y 9/64)
9/64
(* x x)
x
(- (* y -3/8) x)
(* y -3/8)
-3/8
Outputs
(+ (* y -3/8) x)
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
y
-3/8
#s(literal -3/8 binary64)
x
x
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
-3/8
#s(literal -3/8 binary64)
y
(/ 1 (/ 1 (+ x (* y -3/8))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
1
#s(literal 1 binary64)
(/ 1 (+ x (* y -3/8)))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))
(+ x (* y -3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* y -3/8)
(*.f64 y #s(literal -3/8 binary64))
y
-3/8
#s(literal -3/8 binary64)
(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))
(/.f64 (-.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
(- (* y (* y 9/64)) (* x x))
(-.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 y y)) (*.f64 x x))
(* y (* y 9/64))
(*.f64 #s(literal 9/64 binary64) (*.f64 y y))
y
(* y 9/64)
(*.f64 y #s(literal 9/64 binary64))
9/64
#s(literal 9/64 binary64)
(* x x)
(*.f64 x x)
x
(- (* y -3/8) x)
(-.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y -3/8)
(*.f64 y #s(literal -3/8 binary64))
-3/8
#s(literal -3/8 binary64)

localize150.0ms (1.8%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(-.f64 (*.f64 y #s(literal -3/8 binary64)) x)
accuracy99.8%
(*.f64 y (*.f64 y #s(literal 9/64 binary64)))
accuracy97.3%
(-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))
accuracy60.6%
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
accuracy100.0%
(*.f64 y #s(literal -3/8 binary64))
accuracy99.9%
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
accuracy100.0%
(*.f64 #s(literal -3/8 binary64) y)
accuracy100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
Results
89.0ms221×0valid
13.0ms3valid
8.0ms10×2valid
8.0ms14×1valid
3.0ms5exit
Compiler

Compiled 91 to 18 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 19.0ms (44.8% of total)
ival-div: 7.0ms (16.5% of total)
compiled-spec: 5.0ms (11.8% of total)
backward-pass: 4.0ms (9.4% of total)
ival-sub: 3.0ms (7.1% of total)
ival-add: 3.0ms (7.1% of total)
const: 1.0ms (2.4% of total)

series11.0ms (0.1%)

Counts
11 → 216
Calls
Call 1
Inputs
#<alt (+ (* y -3/8) x)>
#<alt (* -3/8 y)>
#<alt (/ 1 (/ 1 (+ x (* y -3/8))))>
#<alt (/ 1 (+ x (* y -3/8)))>
#<alt (+ x (* y -3/8))>
#<alt (* y -3/8)>
#<alt (/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))>
#<alt (- (* y (* y 9/64)) (* x x))>
#<alt (* y (* y 9/64))>
#<alt (* y 9/64)>
#<alt (- (* y -3/8) x)>
Outputs
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (/ -8/3 y)>
#<alt (- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))>
#<alt (- (* x (- (* -512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))>
#<alt (- (* x (- (* x (- (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 3/8 (/ y x))) x)>
#<alt (/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* -3/8 (/ y x))) x)>
#<alt (/ (- (+ 1 (* 27/512 (/ (pow y 3) (pow x 3)))) (+ (* -3/8 (/ y x)) (* -9/64 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -3/8 (/ y x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* -3/8 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* -3/8 y)) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* 3/8 (/ y (pow x 2))) (/ 1 x))>
#<alt (+ (* y (+ (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (+ (* y (+ (* 27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (/ -8/3 y)>
#<alt (/ (- (* -64/9 (/ x y)) 8/3) y)>
#<alt (/ (- (* -512/27 (/ (pow x 2) (pow y 2))) (+ 8/3 (* 64/9 (/ x y)))) y)>
#<alt (/ (- (* -4096/81 (/ (pow x 3) (pow y 3))) (+ 8/3 (+ (* 64/9 (/ x y)) (* 512/27 (/ (pow x 2) (pow y 2)))))) y)>
#<alt (/ -8/3 y)>
#<alt (* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))>
#<alt (* -1 (/ (+ 8/3 (* -1 (/ (- (* -512/27 (/ (pow x 2) y)) (* 64/9 x)) y))) y))>
#<alt (* -1 (/ (+ 8/3 (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* -512/27 (pow x 2))) y)) (* 64/9 x)) y))) y))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (pow x 2))>
#<alt (- (* 9/64 (pow y 2)) (pow x 2))>
#<alt (- (* 9/64 (pow y 2)) (pow x 2))>
#<alt (- (* 9/64 (pow y 2)) (pow x 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* 9/64 (pow y 2))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* 9/64 (pow y 2))>
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* -1 x)>
#<alt (- (* -3/8 y) x)>
#<alt (- (* -3/8 y) x)>
#<alt (- (* -3/8 y) x)>
#<alt (* -3/8 y)>
#<alt (* y (- (* -1 (/ x y)) 3/8))>
#<alt (* y (- (* -1 (/ x y)) 3/8))>
#<alt (* y (- (* -1 (/ x y)) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (/ x y))))>
#<alt (* -1 (* y (+ 3/8 (/ x y))))>
#<alt (* -1 (* y (+ 3/8 (/ x y))))>
#<alt (* -3/8 y)>
#<alt (+ (* -1 x) (* -3/8 y))>
#<alt (+ (* -1 x) (* -3/8 y))>
#<alt (+ (* -1 x) (* -3/8 y))>
#<alt (* -1 x)>
#<alt (* x (- (* -3/8 (/ y x)) 1))>
#<alt (* x (- (* -3/8 (/ y x)) 1))>
#<alt (* x (- (* -3/8 (/ y x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))>
Calls

54 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(* y 9/64)
1.0ms
y
@0
(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))
1.0ms
x
@0
(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))
1.0ms
y
@inf
(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))
0.0ms
x
@inf
(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))

rewrite878.0ms (10.6%)

Algorithm
batch-egg-rewrite
Rules
3562×*-lowering-*.f32
3562×*-lowering-*.f64
3198×/-lowering-/.f32
3198×/-lowering-/.f64
1996×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01746
110544
290144
0856644
Stop Event
iter limit
node limit
Counts
11 → 1173
Calls
Call 1
Inputs
(+ (* y -3/8) x)
(* -3/8 y)
(/ 1 (/ 1 (+ x (* y -3/8))))
(/ 1 (+ x (* y -3/8)))
(+ x (* y -3/8))
(* y -3/8)
(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))
(- (* y (* y 9/64)) (* x x))
(* y (* y 9/64))
(* y 9/64)
(- (* y -3/8) x)
Outputs
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+.f64 x (neg.f64 (*.f64 y #s(literal 3/8 binary64))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 3/8 binary64))))
(+.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x))))
(+.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)))))
(+.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))
(+.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (*.f64 (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))
(+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(+.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 9/64 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (neg.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) x))) (fma.f64 (neg.f64 (/.f64 x (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) x (*.f64 (/.f64 x (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) x)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (*.f64 x x) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (*.f64 x x) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
(*.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(*.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(*.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))
(*.f64 (-.f64 (*.f64 y #s(literal 3/8 binary64)) x) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)))
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (*.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)))
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(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)))
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal -3/8 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
(*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal -3/8 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (pow.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (pow.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (pow.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal -3/8 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (pow.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))

simplify270.0ms (3.3%)

Algorithm
egg-herbie
Rules
3962×*-lowering-*.f32
3962×*-lowering-*.f64
1372×/-lowering-/.f32
1372×/-lowering-/.f64
1074×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01821207
15811039
216301008
352211008
083541008
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(/ -8/3 y)
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(- (* x (- (* -512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(- (* x (- (* x (- (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(/ 1 x)
(/ (+ 1 (* 3/8 (/ y x))) x)
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* -3/8 (/ y x))) x)
(/ (- (+ 1 (* 27/512 (/ (pow y 3) (pow x 3)))) (+ (* -3/8 (/ y x)) (* -9/64 (/ (pow y 2) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* -3/8 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* -3/8 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* -3/8 y)) x)) 1) x))
(/ 1 x)
(+ (* 3/8 (/ y (pow x 2))) (/ 1 x))
(+ (* y (+ (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+ (* y (+ (* y (+ (* 27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(/ -8/3 y)
(/ (- (* -64/9 (/ x y)) 8/3) y)
(/ (- (* -512/27 (/ (pow x 2) (pow y 2))) (+ 8/3 (* 64/9 (/ x y)))) y)
(/ (- (* -4096/81 (/ (pow x 3) (pow y 3))) (+ 8/3 (+ (* 64/9 (/ x y)) (* 512/27 (/ (pow x 2) (pow y 2)))))) y)
(/ -8/3 y)
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -512/27 (/ (pow x 2) y)) (* 64/9 x)) y))) y))
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* -512/27 (pow x 2))) y)) (* 64/9 x)) y))) y))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
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(+ x (* -3/8 y))
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x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (pow x 2))
(- (* 9/64 (pow y 2)) (pow x 2))
(- (* 9/64 (pow y 2)) (pow x 2))
(- (* 9/64 (pow y 2)) (pow x 2))
(* 9/64 (pow y 2))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* 9/64 (pow y 2))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* 9/64 (pow y 2))
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* -1 x)
(- (* -3/8 y) x)
(- (* -3/8 y) x)
(- (* -3/8 y) x)
(* -3/8 y)
(* y (- (* -1 (/ x y)) 3/8))
(* y (- (* -1 (/ x y)) 3/8))
(* y (- (* -1 (/ x y)) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (/ x y))))
(* -1 (* y (+ 3/8 (/ x y))))
(* -1 (* y (+ 3/8 (/ x y))))
(* -3/8 y)
(+ (* -1 x) (* -3/8 y))
(+ (* -1 x) (* -3/8 y))
(+ (* -1 x) (* -3/8 y))
(* -1 x)
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(* x (- (* -3/8 (/ y x)) 1))
(* x (- (* -3/8 (/ y x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
Outputs
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)
(- (* x (- (* -512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -512/27 binary64))) y) (*.f64 x #s(literal -64/9 binary64))) y)) y)
(- (* x (- (* x (- (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 x #s(literal -4096/81 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -512/27 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 3/8 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3/8 binary64)) x)) x)
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* -3/8 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) x) (*.f64 y #s(literal 3/8 binary64))) x)) x)
(/ (- (+ 1 (* 27/512 (/ (pow y 3) (pow x 3)))) (+ (* -3/8 (/ y x)) (* -9/64 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 27/512 binary64)))) x)) x) (*.f64 y #s(literal 3/8 binary64))) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -3/8 (/ y x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3/8 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* -3/8 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) x) (*.f64 y #s(literal 3/8 binary64))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* -3/8 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 27/512 binary64)))) x)) x) (*.f64 y #s(literal 3/8 binary64))) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 3/8 (/ y (pow x 2))) (/ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3/8 binary64)) x)) x)
(+ (* y (+ (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) x) (*.f64 y #s(literal 3/8 binary64))) x)) x)
(+ (* y (+ (* y (+ (* 27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 y #s(literal 27/512 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 9/64 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3/8 binary64)) x)) x))
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ (- (* -64/9 (/ x y)) 8/3) y)
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)
(/ (- (* -512/27 (/ (pow x 2) (pow y 2))) (+ 8/3 (* 64/9 (/ x y)))) y)
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -512/27 binary64))) y) (*.f64 x #s(literal -64/9 binary64))) y)) y)
(/ (- (* -4096/81 (/ (pow x 3) (pow y 3))) (+ 8/3 (+ (* 64/9 (/ x y)) (* 512/27 (/ (pow x 2) (pow y 2)))))) y)
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -512/27 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal -4096/81 binary64) (*.f64 x x))) y)) y) (*.f64 x #s(literal -64/9 binary64))) y)) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -512/27 (/ (pow x 2) y)) (* 64/9 x)) y))) y))
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -512/27 binary64))) y) (*.f64 x #s(literal -64/9 binary64))) y)) y)
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* -512/27 (pow x 2))) y)) (* 64/9 x)) y))) y))
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -512/27 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal -4096/81 binary64) (*.f64 x x))) y)) y) (*.f64 x #s(literal -64/9 binary64))) y)) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
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(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(- (* 9/64 (pow y 2)) (pow x 2))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x))
(- (* 9/64 (pow y 2)) (pow x 2))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x))
(- (* 9/64 (pow y 2)) (pow x 2))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x))
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x))
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal -9/64 binary64)))))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal -9/64 binary64)))))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal -9/64 binary64)))))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal -9/64 binary64)))))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal -9/64 binary64)))))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal -9/64 binary64)))))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* 9/64 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (* -3/8 y) x)
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(- (* -3/8 y) x)
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(- (* -3/8 y) x)
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (* -1 (/ x y)) 3/8))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (* -1 (/ x y)) 3/8))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (* -1 (/ x y)) 3/8))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (/ x y))))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (/ x y))))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (/ x y))))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ (* -1 x) (* -3/8 y))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ (* -1 x) (* -3/8 y))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ (* -1 x) (* -3/8 y))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -3/8 (/ y x)) 1))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (- (* -3/8 (/ y x)) 1))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (- (* -3/8 (/ y x)) 1))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)

eval180.0ms (2.2%)

Compiler

Compiled 51600 to 2159 computations (95.8% saved)

prune109.0ms (1.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New140141405
Fresh112
Picked235
Done011
Total140491413
Accuracy
100.0%
Counts
1413 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
31.8%
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (*.f64 #s(literal -3/8 binary64) y))
31.5%
(/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
50.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y))
50.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
99.9%
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
99.7%
(*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
50.7%
(*.f64 #s(literal -3/8 binary64) y)
51.3%
x
Compiler

Compiled 159 to 105 computations (34% saved)

simplify187.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 9/64 binary64))
cost-diff0
(*.f64 y (*.f64 y #s(literal 9/64 binary64)))
cost-diff0
(-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))
cost-diff128
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (*.f64 #s(literal -3/8 binary64) y))
cost-diff0
(-.f64 (*.f64 y #s(literal -3/8 binary64)) x)
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
cost-diff0
(/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
cost-diff0
(*.f64 (/.f64 x y) #s(literal -64/9 binary64))
cost-diff0
(+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64)))
cost-diff0
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y))
cost-diff0
(/.f64 #s(literal -8/3 binary64) y)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
cost-diff0
(*.f64 y #s(literal -3/8 binary64))
cost-diff0
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
cost-diff768
(*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))
cost-diff896
(*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
Rules
4292×*-lowering-*.f32
4292×*-lowering-*.f64
1544×sum4-define
1504×/-lowering-/.f32
1504×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030141
181130
2205126
3596126
43366126
08485126
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (+ x (* y -3/8)) (* (- x (* y -3/8)) (/ 1 (- x (* y -3/8)))))
(+ x (* y -3/8))
x
(* y -3/8)
y
-3/8
(* (- x (* y -3/8)) (/ 1 (- x (* y -3/8))))
(- x (* y -3/8))
(/ 1 (- x (* y -3/8)))
1
(/ 1 (/ -8/3 y))
1
(/ -8/3 y)
-8/3
y
(/ 1 (/ (+ -8/3 (* (/ x y) -64/9)) y))
1
(/ (+ -8/3 (* (/ x y) -64/9)) y)
(+ -8/3 (* (/ x y) -64/9))
-8/3
(* (/ x y) -64/9)
(/ x y)
x
y
-64/9
(/ (* (* y y) 9/64) (- (* y -3/8) x))
(* (* y y) 9/64)
(* y y)
y
9/64
(- (* y -3/8) x)
(* y -3/8)
-3/8
x
(/ (- (* y (* y 9/64)) (* x x)) (* -3/8 y))
(- (* y (* y 9/64)) (* x x))
(* y (* y 9/64))
y
(* y 9/64)
9/64
(* x x)
x
(* -3/8 y)
-3/8
Outputs
(* (+ x (* y -3/8)) (* (- x (* y -3/8)) (/ 1 (- x (* y -3/8)))))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+ x (* y -3/8))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
x
(* y -3/8)
(*.f64 y #s(literal -3/8 binary64))
y
-3/8
#s(literal -3/8 binary64)
(* (- x (* y -3/8)) (/ 1 (- x (* y -3/8))))
#s(literal 1 binary64)
(- x (* y -3/8))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(/ 1 (- x (* y -3/8)))
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))
1
#s(literal 1 binary64)
(/ 1 (/ -8/3 y))
(*.f64 y #s(literal -3/8 binary64))
1
#s(literal 1 binary64)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
-8/3
#s(literal -8/3 binary64)
y
(/ 1 (/ (+ -8/3 (* (/ x y) -64/9)) y))
(/.f64 y (+.f64 #s(literal -8/3 binary64) (*.f64 x (/.f64 #s(literal -64/9 binary64) y))))
1
#s(literal 1 binary64)
(/ (+ -8/3 (* (/ x y) -64/9)) y)
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 x (/.f64 #s(literal -64/9 binary64) y))) y)
(+ -8/3 (* (/ x y) -64/9))
(+.f64 #s(literal -8/3 binary64) (*.f64 x (/.f64 #s(literal -64/9 binary64) y)))
-8/3
#s(literal -8/3 binary64)
(* (/ x y) -64/9)
(*.f64 x (/.f64 #s(literal -64/9 binary64) y))
(/ x y)
(/.f64 x y)
x
y
-64/9
#s(literal -64/9 binary64)
(/ (* (* y y) 9/64) (- (* y -3/8) x))
(*.f64 y (*.f64 #s(literal 9/64 binary64) (/.f64 y (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))
(* (* y y) 9/64)
(*.f64 y (*.f64 y #s(literal 9/64 binary64)))
(* y y)
(*.f64 y y)
y
9/64
#s(literal 9/64 binary64)
(- (* y -3/8) x)
(-.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y -3/8)
(*.f64 y #s(literal -3/8 binary64))
-3/8
#s(literal -3/8 binary64)
x
(/ (- (* y (* y 9/64)) (* x x)) (* -3/8 y))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) (/.f64 (/.f64 (*.f64 x x) y) #s(literal 3/8 binary64)))
(- (* y (* y 9/64)) (* x x))
(-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))
(* y (* y 9/64))
(*.f64 y (*.f64 y #s(literal 9/64 binary64)))
y
(* y 9/64)
(*.f64 y #s(literal 9/64 binary64))
9/64
#s(literal 9/64 binary64)
(* x x)
(*.f64 x x)
x
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
-3/8
#s(literal -3/8 binary64)

localize440.0ms (5.3%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal -3/8 binary64) y)
accuracy99.8%
(*.f64 y (*.f64 y #s(literal 9/64 binary64)))
accuracy98.4%
(-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))
accuracy82.4%
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (*.f64 #s(literal -3/8 binary64) y))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 y #s(literal -3/8 binary64))
accuracy99.9%
(*.f64 (*.f64 y y) #s(literal 9/64 binary64))
accuracy84.3%
(/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
accuracy100.0%
(+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64)))
accuracy99.8%
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y))
accuracy99.5%
(*.f64 (/.f64 x y) #s(literal -64/9 binary64))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
accuracy99.7%
(/.f64 #s(literal -8/3 binary64) y)
accuracy100.0%
(*.f64 y #s(literal -3/8 binary64))
accuracy100.0%
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))
accuracy99.8%
(*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))
Results
258.0ms76×5exit
118.0ms180×0valid
Compiler

Compiled 181 to 31 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
...c/correct-round.rkt:119:19: 57.0ms (30.2% of total)
ival-mult: 50.0ms (26.5% of total)
ival-div: 36.0ms (19.1% of total)
backward-pass: 31.0ms (16.4% of total)
ival-sub: 7.0ms (3.7% of total)
ival-add: 6.0ms (3.2% of total)
const: 1.0ms (0.5% of total)

series22.0ms (0.3%)

Counts
20 → 384
Calls
Call 1
Inputs
#<alt (* (+ x (* y -3/8)) (* (- x (* y -3/8)) (/ 1 (- x (* y -3/8)))))>
#<alt (* (- x (* y -3/8)) (/ 1 (- x (* y -3/8))))>
#<alt (+ x (* y -3/8))>
#<alt (* y -3/8)>
#<alt (/ 1 (/ -8/3 y))>
#<alt (/ -8/3 y)>
#<alt (/ 1 (/ (+ -8/3 (* (/ x y) -64/9)) y))>
#<alt (/ (+ -8/3 (* (/ x y) -64/9)) y)>
#<alt (+ -8/3 (* (/ x y) -64/9))>
#<alt (* (/ x y) -64/9)>
#<alt (/ (* (* y y) 9/64) (- (* y -3/8) x))>
#<alt (* (* y y) 9/64)>
#<alt (* y y)>
#<alt (- (* y -3/8) x)>
#<alt (/ (- (* y (* y 9/64)) (* x x)) (* -3/8 y))>
#<alt (- (* y (* y 9/64)) (* x x))>
#<alt (* y (* y 9/64))>
#<alt (* y 9/64)>
#<alt (/ 1 (- x (* y -3/8)))>
#<alt (* -3/8 y)>
Outputs
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<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 (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ (* -3/8 y) (* x (+ 1 (* -8/3 (/ x y)))))>
#<alt (+ (* -3/8 y) (* x (+ 1 (* x (- (* 64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))))))>
#<alt (* -9/64 (/ (pow y 2) x))>
#<alt (/ (+ (* -9/64 (pow y 2)) (* 27/512 (/ (pow y 3) x))) x)>
#<alt (/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (* 27/512 (/ (pow y 3) x)))) x)>
#<alt (/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (+ (* 243/32768 (/ (pow y 5) (pow x 3))) (* 27/512 (/ (pow y 3) x))))) x)>
#<alt (* -9/64 (/ (pow y 2) x))>
#<alt (* -1 (/ (+ (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -81/4096 (/ (pow y 4) x)) (* -27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -243/32768 (/ (pow y 5) x)) (* -81/4096 (pow y 4))) x)) (* -27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))>
#<alt (* -9/64 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 27/512 (/ y (pow x 2))) (* 9/64 (/ 1 x))))>
#<alt (* (pow y 2) (- (* y (+ (* -81/4096 (/ y (pow x 3))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))>
#<alt (* (pow y 2) (- (* y (+ (* y (- (* 243/32768 (/ y (pow x 4))) (* 81/4096 (/ 1 (pow x 3))))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (* -8/3 (/ (pow x 2) (pow y 2))) (+ 3/8 (* -1 (/ x y)))))>
#<alt (* y (- (* 64/9 (/ (pow x 3) (pow y 3))) (+ 3/8 (+ (* -1 (/ x y)) (* 8/3 (/ (pow x 2) (pow y 2)))))))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (- (* -8/3 (/ (pow x 2) y)) (* -1 x)) y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (- (* -1 (/ (- (* -64/9 (/ (pow x 3) y)) (* -8/3 (pow x 2))) y)) (* -1 x)) y)))))>
#<alt (/ -8/3 y)>
#<alt (- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))>
#<alt (- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))>
#<alt (- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))>
#<alt (* -64/9 (/ x (pow y 2)))>
#<alt (* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))>
#<alt (* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))>
#<alt (* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))>
#<alt (* -64/9 (/ x (pow y 2)))>
#<alt (* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))>
#<alt (* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))>
#<alt (* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))>
#<alt (* -64/9 (/ x (pow y 2)))>
#<alt (/ (+ (* -64/9 x) (* -8/3 y)) (pow y 2))>
#<alt (/ (+ (* -64/9 x) (* -8/3 y)) (pow y 2))>
#<alt (/ (+ (* -64/9 x) (* -8/3 y)) (pow y 2))>
#<alt (/ -8/3 y)>
#<alt (/ (- (* -64/9 (/ x y)) 8/3) y)>
#<alt (/ (- (* -64/9 (/ x y)) 8/3) y)>
#<alt (/ (- (* -64/9 (/ x y)) 8/3) y)>
#<alt (/ -8/3 y)>
#<alt (* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))>
#<alt (* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))>
#<alt (* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))>
#<alt -8/3>
#<alt (- (* -64/9 (/ x y)) 8/3)>
#<alt (- (* -64/9 (/ x y)) 8/3)>
#<alt (- (* -64/9 (/ x y)) 8/3)>
#<alt (* -64/9 (/ x y))>
#<alt (* -1 (* x (+ (* 64/9 (/ 1 y)) (* 8/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* 64/9 (/ 1 y)) (* 8/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* 64/9 (/ 1 y)) (* 8/3 (/ 1 x)))))>
#<alt (* -64/9 (/ x y))>
#<alt (* -1 (* x (+ (* 8/3 (/ 1 x)) (* 64/9 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 8/3 (/ 1 x)) (* 64/9 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 8/3 (/ 1 x)) (* 64/9 (/ 1 y)))))>
#<alt (* -64/9 (/ x y))>
#<alt (/ (+ (* -64/9 x) (* -8/3 y)) y)>
#<alt (/ (+ (* -64/9 x) (* -8/3 y)) y)>
#<alt (/ (+ (* -64/9 x) (* -8/3 y)) y)>
#<alt -8/3>
#<alt (- (* -64/9 (/ x y)) 8/3)>
#<alt (- (* -64/9 (/ x y)) 8/3)>
#<alt (- (* -64/9 (/ x y)) 8/3)>
#<alt -8/3>
#<alt (- (* -64/9 (/ x y)) 8/3)>
#<alt (- (* -64/9 (/ x y)) 8/3)>
#<alt (- (* -64/9 (/ x y)) 8/3)>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -64/9 (/ x y))>
#<alt (* -9/64 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 27/512 (/ y (pow x 2))) (* 9/64 (/ 1 x))))>
#<alt (* (pow y 2) (- (* y (+ (* -81/4096 (/ y (pow x 3))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))>
#<alt (* (pow y 2) (- (* y (+ (* y (- (* 243/32768 (/ y (pow x 4))) (* 81/4096 (/ 1 (pow x 3))))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (* -8/3 (/ (pow x 2) (pow y 2))) (+ 3/8 (* -1 (/ x y)))))>
#<alt (* y (- (* 64/9 (/ (pow x 3) (pow y 3))) (+ 3/8 (+ (* -1 (/ x y)) (* 8/3 (/ (pow x 2) (pow y 2)))))))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (- (* -8/3 (/ (pow x 2) y)) (* -1 x)) y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (- (* -1 (/ (- (* -64/9 (/ (pow x 3) y)) (* -8/3 (pow x 2))) y)) (* -1 x)) y)))))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ (* -3/8 y) (* x (+ 1 (* -8/3 (/ x y)))))>
#<alt (+ (* -3/8 y) (* x (+ 1 (* x (- (* 64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))))))>
#<alt (* -9/64 (/ (pow y 2) x))>
#<alt (/ (+ (* -9/64 (pow y 2)) (* 27/512 (/ (pow y 3) x))) x)>
#<alt (/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (* 27/512 (/ (pow y 3) x)))) x)>
#<alt (/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (+ (* 243/32768 (/ (pow y 5) (pow x 3))) (* 27/512 (/ (pow y 3) x))))) x)>
#<alt (* -9/64 (/ (pow y 2) x))>
#<alt (* -1 (/ (+ (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -81/4096 (/ (pow y 4) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -243/32768 (/ (pow y 5) x)) (* 81/4096 (pow y 4))) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1 x)>
#<alt (- (* -3/8 y) x)>
#<alt (- (* -3/8 y) x)>
#<alt (- (* -3/8 y) x)>
#<alt (* -3/8 y)>
#<alt (* y (- (* -1 (/ x y)) 3/8))>
#<alt (* y (- (* -1 (/ x y)) 3/8))>
#<alt (* y (- (* -1 (/ x y)) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (/ x y))))>
#<alt (* -1 (* y (+ 3/8 (/ x y))))>
#<alt (* -1 (* y (+ 3/8 (/ x y))))>
#<alt (* -3/8 y)>
#<alt (+ (* -1 x) (* -3/8 y))>
#<alt (+ (* -1 x) (* -3/8 y))>
#<alt (+ (* -1 x) (* -3/8 y))>
#<alt (* -1 x)>
#<alt (* x (- (* -3/8 (/ y x)) 1))>
#<alt (* x (- (* -3/8 (/ y x)) 1))>
#<alt (* x (- (* -3/8 (/ y x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))>
#<alt (* 8/3 (/ (pow x 2) y))>
#<alt (/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)>
#<alt (/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)>
#<alt (/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)>
#<alt (* -3/8 y)>
#<alt (* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))>
#<alt (* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))>
#<alt (* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))>
#<alt (* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))>
#<alt (* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))>
#<alt (* -3/8 y)>
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))>
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))>
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))>
#<alt (* 8/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* 8/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* -1 (pow x 2))>
#<alt (- (* 9/64 (pow y 2)) (pow x 2))>
#<alt (- (* 9/64 (pow y 2)) (pow x 2))>
#<alt (- (* 9/64 (pow y 2)) (pow x 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* 9/64 (pow y 2))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* 9/64 (pow y 2))>
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (/ 8/3 y)>
#<alt (+ (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))>
#<alt (+ (* x (- (* 512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))>
#<alt (+ (* x (- (* x (+ (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -3/8 (/ y x))) x)>
#<alt (/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* 3/8 (/ y x))) x)>
#<alt (/ (- (+ 1 (* -27/512 (/ (pow y 3) (pow x 3)))) (+ (* -9/64 (/ (pow y 2) (pow x 2))) (* 3/8 (/ y x)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 3/8 (/ y x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* 3/8 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* 3/8 y)) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* -3/8 (/ y (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (/ 8/3 y)>
#<alt (/ (+ 8/3 (* -64/9 (/ x y))) y)>
#<alt (/ (- (+ 8/3 (* 512/27 (/ (pow x 2) (pow y 2)))) (* 64/9 (/ x y))) y)>
#<alt (/ (- (+ 8/3 (* -4096/81 (/ (pow x 3) (pow y 3)))) (+ (* -512/27 (/ (pow x 2) (pow y 2))) (* 64/9 (/ x y)))) y)>
#<alt (/ 8/3 y)>
#<alt (* -1 (/ (- (* 64/9 (/ x y)) 8/3) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 512/27 (/ (pow x 2) y)) (* 64/9 x)) y)) 8/3) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* 512/27 (pow x 2))) y)) (* 64/9 x)) y)) 8/3) y))>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
Calls

96 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/ (- (* y (* y 9/64)) (* x x)) (* -3/8 y))
2.0ms
y
@inf
(* (/ x y) -64/9)
1.0ms
x
@inf
(/ (+ -8/3 (* (/ x y) -64/9)) y)
1.0ms
x
@inf
(/ 1 (/ (+ -8/3 (* (/ x y) -64/9)) y))
0.0ms
x
@-inf
(/ 1 (/ (+ -8/3 (* (/ x y) -64/9)) y))

rewrite382.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
2932×/-lowering-/.f32
2932×/-lowering-/.f64
2656×*-lowering-*.f32
2656×*-lowering-*.f64
2036×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030108
119596
2157795
0835095
Stop Event
iter limit
node limit
Counts
20 → 961
Calls
Call 1
Inputs
(* (+ x (* y -3/8)) (* (- x (* y -3/8)) (/ 1 (- x (* y -3/8)))))
(* (- x (* y -3/8)) (/ 1 (- x (* y -3/8))))
(+ x (* y -3/8))
(* y -3/8)
(/ 1 (/ -8/3 y))
(/ -8/3 y)
(/ 1 (/ (+ -8/3 (* (/ x y) -64/9)) y))
(/ (+ -8/3 (* (/ x y) -64/9)) y)
(+ -8/3 (* (/ x y) -64/9))
(* (/ x y) -64/9)
(/ (* (* y y) 9/64) (- (* y -3/8) x))
(* (* y y) 9/64)
(* y y)
(- (* y -3/8) x)
(/ (- (* y (* y 9/64)) (* x x)) (* -3/8 y))
(- (* y (* y 9/64)) (* x x))
(* y (* y 9/64))
(* y 9/64)
(/ 1 (- x (* y -3/8)))
(* -3/8 y)
Outputs
(+.f64 x (/.f64 y #s(literal -8/3 binary64)))
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x)
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(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) #s(literal -1 binary64)))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
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(*.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal -8/3 binary64)) (+.f64 x (/.f64 y #s(literal -8/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal -8/3 binary64)) (+.f64 x (/.f64 y #s(literal -8/3 binary64)))))) #s(literal -1 binary64)))
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8/3 binary64) y))
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(/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal 3/8 binary64)))
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(*.f64 (pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -8/3 binary64) y))
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simplify388.0ms (4.7%)

Algorithm
egg-herbie
Rules
4292×*-lowering-*.f32
4292×*-lowering-*.f64
2982×/-lowering-/.f32
2982×/-lowering-/.f64
1862×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03412804
111132496
231892428
089162428
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(* -3/8 y)
(+ x (* -3/8 y))
(+ (* -3/8 y) (* x (+ 1 (* -8/3 (/ x y)))))
(+ (* -3/8 y) (* x (+ 1 (* x (- (* 64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))))))
(* -9/64 (/ (pow y 2) x))
(/ (+ (* -9/64 (pow y 2)) (* 27/512 (/ (pow y 3) x))) x)
(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (* 27/512 (/ (pow y 3) x)))) x)
(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (+ (* 243/32768 (/ (pow y 5) (pow x 3))) (* 27/512 (/ (pow y 3) x))))) x)
(* -9/64 (/ (pow y 2) x))
(* -1 (/ (+ (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x))
(* -1 (/ (+ (* -1 (/ (- (* -81/4096 (/ (pow y 4) x)) (* -27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -243/32768 (/ (pow y 5) x)) (* -81/4096 (pow y 4))) x)) (* -27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))
(* -9/64 (/ (pow y 2) x))
(* (pow y 2) (- (* 27/512 (/ y (pow x 2))) (* 9/64 (/ 1 x))))
(* (pow y 2) (- (* y (+ (* -81/4096 (/ y (pow x 3))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))
(* (pow y 2) (- (* y (+ (* y (- (* 243/32768 (/ y (pow x 4))) (* 81/4096 (/ 1 (pow x 3))))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (* -8/3 (/ (pow x 2) (pow y 2))) (+ 3/8 (* -1 (/ x y)))))
(* y (- (* 64/9 (/ (pow x 3) (pow y 3))) (+ 3/8 (+ (* -1 (/ x y)) (* 8/3 (/ (pow x 2) (pow y 2)))))))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ (- (* -8/3 (/ (pow x 2) y)) (* -1 x)) y)))))
(* -1 (* y (+ 3/8 (* -1 (/ (- (* -1 (/ (- (* -64/9 (/ (pow x 3) y)) (* -8/3 (pow x 2))) y)) (* -1 x)) y)))))
(/ -8/3 y)
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(* -64/9 (/ x (pow y 2)))
(* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))
(* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))
(* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))
(* -64/9 (/ x (pow y 2)))
(* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))
(* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))
(* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))
(* -64/9 (/ x (pow y 2)))
(/ (+ (* -64/9 x) (* -8/3 y)) (pow y 2))
(/ (+ (* -64/9 x) (* -8/3 y)) (pow y 2))
(/ (+ (* -64/9 x) (* -8/3 y)) (pow y 2))
(/ -8/3 y)
(/ (- (* -64/9 (/ x y)) 8/3) y)
(/ (- (* -64/9 (/ x y)) 8/3) y)
(/ (- (* -64/9 (/ x y)) 8/3) y)
(/ -8/3 y)
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))
-8/3
(- (* -64/9 (/ x y)) 8/3)
(- (* -64/9 (/ x y)) 8/3)
(- (* -64/9 (/ x y)) 8/3)
(* -64/9 (/ x y))
(* -1 (* x (+ (* 64/9 (/ 1 y)) (* 8/3 (/ 1 x)))))
(* -1 (* x (+ (* 64/9 (/ 1 y)) (* 8/3 (/ 1 x)))))
(* -1 (* x (+ (* 64/9 (/ 1 y)) (* 8/3 (/ 1 x)))))
(* -64/9 (/ x y))
(* -1 (* x (+ (* 8/3 (/ 1 x)) (* 64/9 (/ 1 y)))))
(* -1 (* x (+ (* 8/3 (/ 1 x)) (* 64/9 (/ 1 y)))))
(* -1 (* x (+ (* 8/3 (/ 1 x)) (* 64/9 (/ 1 y)))))
(* -64/9 (/ x y))
(/ (+ (* -64/9 x) (* -8/3 y)) y)
(/ (+ (* -64/9 x) (* -8/3 y)) y)
(/ (+ (* -64/9 x) (* -8/3 y)) y)
-8/3
(- (* -64/9 (/ x y)) 8/3)
(- (* -64/9 (/ x y)) 8/3)
(- (* -64/9 (/ x y)) 8/3)
-8/3
(- (* -64/9 (/ x y)) 8/3)
(- (* -64/9 (/ x y)) 8/3)
(- (* -64/9 (/ x y)) 8/3)
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -64/9 (/ x y))
(* -9/64 (/ (pow y 2) x))
(* (pow y 2) (- (* 27/512 (/ y (pow x 2))) (* 9/64 (/ 1 x))))
(* (pow y 2) (- (* y (+ (* -81/4096 (/ y (pow x 3))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))
(* (pow y 2) (- (* y (+ (* y (- (* 243/32768 (/ y (pow x 4))) (* 81/4096 (/ 1 (pow x 3))))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (* -8/3 (/ (pow x 2) (pow y 2))) (+ 3/8 (* -1 (/ x y)))))
(* y (- (* 64/9 (/ (pow x 3) (pow y 3))) (+ 3/8 (+ (* -1 (/ x y)) (* 8/3 (/ (pow x 2) (pow y 2)))))))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ (- (* -8/3 (/ (pow x 2) y)) (* -1 x)) y)))))
(* -1 (* y (+ 3/8 (* -1 (/ (- (* -1 (/ (- (* -64/9 (/ (pow x 3) y)) (* -8/3 (pow x 2))) y)) (* -1 x)) y)))))
(* -3/8 y)
(+ x (* -3/8 y))
(+ (* -3/8 y) (* x (+ 1 (* -8/3 (/ x y)))))
(+ (* -3/8 y) (* x (+ 1 (* x (- (* 64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))))))
(* -9/64 (/ (pow y 2) x))
(/ (+ (* -9/64 (pow y 2)) (* 27/512 (/ (pow y 3) x))) x)
(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (* 27/512 (/ (pow y 3) x)))) x)
(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (+ (* 243/32768 (/ (pow y 5) (pow x 3))) (* 27/512 (/ (pow y 3) x))))) x)
(* -9/64 (/ (pow y 2) x))
(* -1 (/ (+ (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -81/4096 (/ (pow y 4) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -243/32768 (/ (pow y 5) x)) (* 81/4096 (pow y 4))) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 x)
(- (* -3/8 y) x)
(- (* -3/8 y) x)
(- (* -3/8 y) x)
(* -3/8 y)
(* y (- (* -1 (/ x y)) 3/8))
(* y (- (* -1 (/ x y)) 3/8))
(* y (- (* -1 (/ x y)) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (/ x y))))
(* -1 (* y (+ 3/8 (/ x y))))
(* -1 (* y (+ 3/8 (/ x y))))
(* -3/8 y)
(+ (* -1 x) (* -3/8 y))
(+ (* -1 x) (* -3/8 y))
(+ (* -1 x) (* -3/8 y))
(* -1 x)
(* x (- (* -3/8 (/ y x)) 1))
(* x (- (* -3/8 (/ y x)) 1))
(* x (- (* -3/8 (/ y x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(* 8/3 (/ (pow x 2) y))
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)
(* -3/8 y)
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))
(* -3/8 y)
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(* 8/3 (/ (pow x 2) y))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* 8/3 (/ (pow x 2) y))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* -1 (pow x 2))
(- (* 9/64 (pow y 2)) (pow x 2))
(- (* 9/64 (pow y 2)) (pow x 2))
(- (* 9/64 (pow y 2)) (pow x 2))
(* 9/64 (pow y 2))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* 9/64 (pow y 2))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* 9/64 (pow y 2))
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(/ 8/3 y)
(+ (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(+ (* x (- (* 512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(+ (* x (- (* x (+ (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(/ 1 x)
(/ (+ 1 (* -3/8 (/ y x))) x)
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* 3/8 (/ y x))) x)
(/ (- (+ 1 (* -27/512 (/ (pow y 3) (pow x 3)))) (+ (* -9/64 (/ (pow y 2) (pow x 2))) (* 3/8 (/ y x)))) x)
(/ 1 x)
(* -1 (/ (- (* 3/8 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* 3/8 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* 3/8 y)) x)) 1) x))
(/ 1 x)
(+ (* -3/8 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (+ (* -27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(/ 8/3 y)
(/ (+ 8/3 (* -64/9 (/ x y))) y)
(/ (- (+ 8/3 (* 512/27 (/ (pow x 2) (pow y 2)))) (* 64/9 (/ x y))) y)
(/ (- (+ 8/3 (* -4096/81 (/ (pow x 3) (pow y 3)))) (+ (* -512/27 (/ (pow x 2) (pow y 2))) (* 64/9 (/ x y)))) y)
(/ 8/3 y)
(* -1 (/ (- (* 64/9 (/ x y)) 8/3) y))
(* -1 (/ (- (* -1 (/ (- (* 512/27 (/ (pow x 2) y)) (* 64/9 x)) y)) 8/3) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* 512/27 (pow x 2))) y)) (* 64/9 x)) y)) 8/3) y))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))))
x
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))))
x
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
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(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 x x)) (*.f64 #s(literal 9/64 binary64) (/.f64 (/.f64 y (*.f64 x x)) x)))))
(+ (* y (- (* y (+ (* -27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+.f64 (*.f64 (*.f64 y (+.f64 (/.f64 (*.f64 y #s(literal -27/512 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 9/64 binary64) (*.f64 x (*.f64 x x))))) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) x)) x))
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ (+ 8/3 (* -64/9 (/ x y))) y)
(/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x #s(literal 64/9 binary64)) y)) y)
(/ (- (+ 8/3 (* 512/27 (/ (pow x 2) (pow y 2)))) (* 64/9 (/ x y))) y)
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -64/9 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 512/27 binary64)) y)) y)) y)
(/ (- (+ 8/3 (* -4096/81 (/ (pow x 3) (pow y 3)))) (+ (* -512/27 (/ (pow x 2) (pow y 2))) (* 64/9 (/ x y)))) y)
(/.f64 (+.f64 #s(literal 8/3 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4096/81 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (+.f64 (*.f64 x #s(literal -64/9 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 512/27 binary64)) y)) y))) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(* -1 (/ (- (* 64/9 (/ x y)) 8/3) y))
(/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x #s(literal 64/9 binary64)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* 512/27 (/ (pow x 2) y)) (* 64/9 x)) y)) 8/3) y))
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -64/9 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 512/27 binary64)) y)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* 512/27 (pow x 2))) y)) (* 64/9 x)) y)) 8/3) y))
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -64/9 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096/81 binary64)) y) (*.f64 (*.f64 x x) #s(literal -512/27 binary64))) y)) y)) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)

eval224.0ms (2.7%)

Compiler

Compiled 32651 to 2942 computations (91% saved)

prune198.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New153251537
Fresh000
Picked505
Done224
Total153971546
Accuracy
100.0%
Counts
1546 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.8%
(/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) #s(literal -3/8 binary64))
50.6%
(/.f64 y #s(literal -8/3 binary64))
50.6%
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
99.8%
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x)
17.3%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 8/3 binary64) y) (*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x)))))
50.7%
(*.f64 #s(literal -3/8 binary64) y)
51.3%
x
Compiler

Compiled 102 to 72 computations (29.4% saved)

simplify510.0ms (6.2%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 8/3 binary64) y)
cost-diff0
(+.f64 (/.f64 #s(literal 8/3 binary64) y) (*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x))))
cost-diff0
(*.f64 x x)
cost-diff256
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 8/3 binary64) y) (*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x)))))
cost-diff0
(*.f64 y #s(literal 9/64 binary64))
cost-diff0
(*.f64 y (*.f64 y #s(literal 9/64 binary64)))
cost-diff256
(/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y)
cost-diff384
(/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) #s(literal -3/8 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff128
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(/.f64 y #s(literal -8/3 binary64))
cost-diff0
(/.f64 y #s(literal -8/3 binary64))
cost-diff0
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x)
Rules
6760×*-lowering-*.f32
6760×*-lowering-*.f64
2960×cube-prod
1852×/-lowering-/.f32
1852×/-lowering-/.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02191
14986
212580
332777
4116077
5296576
6366476
7414176
8438276
9463276
10502376
11547876
12595076
13630676
14642876
15644476
16644876
17645076
18672376
19732976
0801676
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (/ y -8/3) x)
(/ y -8/3)
y
-8/3
x
(/ y -8/3)
y
-8/3
(/ -3/8 (/ 1 y))
-3/8
(/ 1 y)
1
y
(/ (/ (* y (* y 9/64)) y) -3/8)
(/ (* y (* y 9/64)) y)
(* y (* y 9/64))
y
(* y 9/64)
9/64
-3/8
(* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x)))))
(* x x)
x
(+ (/ 8/3 y) (* -3/8 (/ y (* x x))))
(/ 8/3 y)
8/3
y
(* -3/8 (/ y (* x x)))
-3/8
(/ y (* x x))
Outputs
(+ (/ y -8/3) x)
(+.f64 x (/.f64 y #s(literal -8/3 binary64)))
(/ y -8/3)
(/.f64 y #s(literal -8/3 binary64))
y
-8/3
#s(literal -8/3 binary64)
x
(/ y -8/3)
(/.f64 y #s(literal -8/3 binary64))
y
-8/3
#s(literal -8/3 binary64)
(/ -3/8 (/ 1 y))
(/.f64 y #s(literal -8/3 binary64))
-3/8
#s(literal -3/8 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ (/ (* y (* y 9/64)) y) -3/8)
(/.f64 y #s(literal -8/3 binary64))
(/ (* y (* y 9/64)) y)
(*.f64 y #s(literal 9/64 binary64))
(* y (* y 9/64))
(*.f64 y (*.f64 y #s(literal 9/64 binary64)))
y
(* y 9/64)
(*.f64 y #s(literal 9/64 binary64))
9/64
#s(literal 9/64 binary64)
-3/8
#s(literal -3/8 binary64)
(* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x)))))
(+.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)) (/.f64 y #s(literal -8/3 binary64)))
(* x x)
(*.f64 x x)
x
(+ (/ 8/3 y) (* -3/8 (/ y (* x x))))
(+.f64 (/.f64 #s(literal 8/3 binary64) y) (/.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 x x) y)))
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
8/3
#s(literal 8/3 binary64)
y
(* -3/8 (/ y (* x x)))
(/.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 x x) y))
-3/8
#s(literal -3/8 binary64)
(/ y (* x x))
(/.f64 y (*.f64 x x))

localize395.0ms (4.8%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x)))
accuracy99.7%
(/.f64 #s(literal 8/3 binary64) y)
accuracy93.4%
(/.f64 y (*.f64 x x))
accuracy73.4%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 8/3 binary64) y) (*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x)))))
accuracy100.0%
(*.f64 y #s(literal 9/64 binary64))
accuracy99.9%
(/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) #s(literal -3/8 binary64))
accuracy99.8%
(*.f64 y (*.f64 y #s(literal 9/64 binary64)))
accuracy70.1%
(/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.8%
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
accuracy99.7%
(/.f64 y #s(literal -8/3 binary64))
accuracy100.0%
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x)
accuracy99.7%
(/.f64 y #s(literal -8/3 binary64))
Results
247.0ms76×5exit
81.0ms151×0valid
29.0ms29×1valid
Compiler

Compiled 105 to 22 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-div: 42.0ms (32% of total)
...c/correct-round.rkt:119:19: 31.0ms (23.6% of total)
ival-mult: 21.0ms (16% of total)
backward-pass: 19.0ms (14.5% of total)
ival-add: 18.0ms (13.7% of total)
const: 1.0ms (0.8% of total)

series9.0ms (0.1%)

Counts
14 → 228
Calls
Call 1
Inputs
#<alt (+ (/ y -8/3) x)>
#<alt (/ y -8/3)>
#<alt (/ -3/8 (/ 1 y))>
#<alt (/ 1 y)>
#<alt (/ (/ (* y (* y 9/64)) y) -3/8)>
#<alt (/ (* y (* y 9/64)) y)>
#<alt (* y (* y 9/64))>
#<alt (* y 9/64)>
#<alt (* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x)))))>
#<alt (* x x)>
#<alt (+ (/ 8/3 y) (* -3/8 (/ y (* x x))))>
#<alt (/ 8/3 y)>
#<alt (/ y (* x x))>
#<alt (* -3/8 (/ y (* x x)))>
Outputs
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* -3/8 y)>
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))>
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))>
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))>
#<alt (* 8/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* 8/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* 8/3 (/ (pow x 2) y))>
#<alt (/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)>
#<alt (/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)>
#<alt (/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)>
#<alt (* -3/8 y)>
#<alt (* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))>
#<alt (* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))>
#<alt (* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))>
#<alt (* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))>
#<alt (* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 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 (/ 8/3 y)>
#<alt (/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y)>
#<alt (/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y)>
#<alt (/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y)>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2)))))>
#<alt (* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2)))))>
#<alt (* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2)))))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2))))))>
#<alt (* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2))))))>
#<alt (* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2))))))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2))>
#<alt (/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2))>
#<alt (/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2))>
#<alt (/ 8/3 y)>
#<alt (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))>
#<alt (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))>
#<alt (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))>
#<alt (/ 8/3 y)>
#<alt (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))>
#<alt (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))>
#<alt (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
#<alt (* -3/8 (/ y (pow x 2)))>
Calls

57 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x)))))
1.0ms
x
@0
(* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x)))))
1.0ms
y
@0
(* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x)))))
0.0ms
x
@inf
(* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x)))))
0.0ms
y
@-inf
(/ y (* x x))

rewrite371.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
3704×/-lowering-/.f32
3704×/-lowering-/.f64
3686×*-lowering-*.f32
3686×*-lowering-*.f64
1542×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02173
111967
2100661
0851861
Stop Event
iter limit
node limit
Counts
14 → 790
Calls
Call 1
Inputs
(+ (/ y -8/3) x)
(/ y -8/3)
(/ -3/8 (/ 1 y))
(/ 1 y)
(/ (/ (* y (* y 9/64)) y) -3/8)
(/ (* y (* y 9/64)) y)
(* y (* y 9/64))
(* y 9/64)
(* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x)))))
(* x x)
(+ (/ 8/3 y) (* -3/8 (/ y (* x x))))
(/ 8/3 y)
(/ y (* x x))
(* -3/8 (/ y (* x x)))
Outputs
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x)
(+.f64 x (/.f64 y #s(literal -8/3 binary64)))
(+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))))
(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 #s(literal -3/8 binary64) y x)
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -8/3 binary64)) x)
(fma.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3/8 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -8/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -8/3 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -8/3 binary64)) x) (/.f64 #s(literal -8/3 binary64) y))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 y #s(literal 8/3 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal -9/64 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -8/3 binary64)) x))))
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 x (+.f64 x (/.f64 y #s(literal 8/3 binary64))))))
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -8/3 binary64)) x) (/.f64 #s(literal -8/3 binary64) y))))
(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 x x)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 x (+.f64 x (/.f64 y #s(literal 8/3 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -8/3 binary64)) x) (/.f64 #s(literal -8/3 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)))
(/.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal -9/64 binary64)))) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (*.f64 (-.f64 (/.f64 y #s(literal -8/3 binary64)) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 y #s(literal -8/3 binary64)) x) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 x (+.f64 x (/.f64 y #s(literal 8/3 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal -9/64 binary64))))) (neg.f64 (+.f64 x (/.f64 y #s(literal 8/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))) (*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)))) (+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -8/3 binary64)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -8/3 binary64)) x))
(*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 x (+.f64 x (/.f64 y #s(literal 8/3 binary64)))))))
(*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -8/3 binary64)) x) (/.f64 #s(literal -8/3 binary64) y)))))
(*.f64 (-.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 x (+.f64 x (/.f64 y #s(literal 8/3 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal -9/64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -8/3 binary64) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 8/3 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 64/9 binary64)) #s(literal 3/8 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal 8/3 binary64))) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (/.f64 y #s(literal 8/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (/.f64 y #s(literal 8/3 binary64)))
(neg.f64 (/.f64 (/.f64 y #s(literal 64/9 binary64)) #s(literal 3/8 binary64)))
(/.f64 y #s(literal -8/3 binary64))
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 64/9 binary64) y))
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 64/9 binary64) y) #s(literal -8/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 y (*.f64 y #s(literal -9/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 y (*.f64 y #s(literal -9/64 binary64))) #s(literal -8/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) #s(literal -3/8 binary64))))
(/.f64 (/.f64 y #s(literal 64/9 binary64)) #s(literal -3/8 binary64))
(/.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 64/9 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8/3 binary64) y))
(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 8/3 binary64))
(/.f64 (*.f64 y (*.f64 y #s(literal -9/64 binary64))) (/.f64 y #s(literal 8/3 binary64)))
(/.f64 (*.f64 y (*.f64 y #s(literal -9/64 binary64))) (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (/.f64 y #s(literal -8/3 binary64)))
(/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (neg.f64 (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (*.f64 y #s(literal -9/64 binary64)) #s(literal 3/8 binary64))
(/.f64 (/.f64 y #s(literal -3/8 binary64)) #s(literal 64/9 binary64))
(/.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -9/64 binary64))) #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) #s(literal -3/8 binary64)) y)
(/.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) #s(literal 3/8 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -9/64 binary64))) #s(literal -8/3 binary64))) y)
(/.f64 (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) #s(literal -3/8 binary64))) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal -3/8 binary64))
(*.f64 y (/.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 y #s(literal -8/3 binary64))) (/.f64 y #s(literal -8/3 binary64))))
(*.f64 #s(literal -8/3 binary64) (/.f64 y #s(literal 64/9 binary64)))
(*.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -3/8 binary64) y)
(*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 y y) y))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal -8/3 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 y #s(literal -8/3 binary64))) #s(literal -3/8 binary64)))
(*.f64 #s(literal 9/64 binary64) (/.f64 y #s(literal -3/8 binary64)))
(*.f64 #s(literal 9/64 binary64) (/.f64 (*.f64 y y) (/.f64 y #s(literal -8/3 binary64))))
(*.f64 (/.f64 y #s(literal 64/9 binary64)) #s(literal -8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (*.f64 y #s(literal -9/64 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal 8/3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 y #s(literal 64/9 binary64)) #s(literal 3/8 binary64)))
(*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3/8 binary64))
(*.f64 (*.f64 y (*.f64 y #s(literal -9/64 binary64))) (/.f64 #s(literal 8/3 binary64) y))
(*.f64 (*.f64 y (*.f64 y #s(literal -9/64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y))))
(*.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (/.f64 #s(literal -8/3 binary64) y))
(*.f64 (*.f64 y y) (/.f64 #s(literal 9/64 binary64) (/.f64 y #s(literal -8/3 binary64))))
(*.f64 (*.f64 y #s(literal -9/64 binary64)) #s(literal 8/3 binary64))
(*.f64 (/.f64 y #s(literal -3/8 binary64)) #s(literal 9/64 binary64))
(*.f64 (/.f64 y #s(literal -3/8 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 y #s(literal -8/3 binary64))) y))
(*.f64 (/.f64 (*.f64 y y) #s(literal -3/8 binary64)) (/.f64 #s(literal 9/64 binary64) y))
(*.f64 (/.f64 #s(literal 9/64 binary64) y) (/.f64 (*.f64 y y) #s(literal -3/8 binary64)))
(*.f64 (/.f64 (/.f64 y #s(literal 64/9 binary64)) #s(literal 3/8 binary64)) (/.f64 y (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -9/64 binary64))) #s(literal -8/3 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) #s(literal 3/8 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 y (/.f64 #s(literal 64/9 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 y (/.f64 #s(literal 64/9 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -3/8 binary64)) (/.f64 (/.f64 y #s(literal 64/9 binary64)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (/.f64 y #s(literal 64/9 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 y #s(literal 3/8 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 y #s(literal 64/9 binary64)) #s(literal 3/8 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 y #s(literal -8/3 binary64))) #s(literal 3/8 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -3/8 binary64)) (/.f64 #s(literal 9/64 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 9/64 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) #s(literal 3/8 binary64)))
(*.f64 (/.f64 y #s(literal 3/8 binary64)) (/.f64 (/.f64 y #s(literal 64/9 binary64)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 y #s(literal 3/8 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 y #s(literal -8/3 binary64))) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) y) (/.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal -3/8 binary64)))
(*.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal -3/8 binary64)) (/.f64 (/.f64 y #s(literal -8/3 binary64)) y))
(*.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal -8/3 binary64)) (/.f64 y #s(literal -8/3 binary64))))
(*.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 3/8 binary64)) (/.f64 (/.f64 y #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 3/8 binary64)))
(*.f64 (/.f64 (*.f64 y y) y) #s(literal -3/8 binary64))
(*.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y)) #s(literal 3/8 binary64))
(*.f64 (/.f64 (*.f64 y y) #s(literal 3/8 binary64)) (/.f64 #s(literal 9/64 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (/.f64 y #s(literal 64/9 binary64)) #s(literal 1 binary64)) #s(literal -8/3 binary64))
(*.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 9/64 binary64) (/.f64 y #s(literal -8/3 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 y #s(literal -8/3 binary64)) y) y) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (/.f64 y #s(literal -8/3 binary64)) y) #s(literal -3/8 binary64)) (/.f64 #s(literal -3/8 binary64) y))
(*.f64 (/.f64 (*.f64 (/.f64 y #s(literal -8/3 binary64)) y) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) (/.f64 y #s(literal -8/3 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 y #s(literal -8/3 binary64)) y) #s(literal 3/8 binary64)) (/.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (*.f64 (/.f64 y #s(literal -8/3 binary64)) y) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal 8/3 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -8/3 binary64) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 8/3 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 64/9 binary64)) #s(literal 3/8 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal 8/3 binary64))) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (/.f64 y #s(literal 8/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (/.f64 y #s(literal 8/3 binary64)))
(neg.f64 (/.f64 (/.f64 y #s(literal 64/9 binary64)) #s(literal 3/8 binary64)))
(/.f64 y #s(literal -8/3 binary64))
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 64/9 binary64) y))
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
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(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 64/9 binary64) (*.f64 y y)) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 8/3 binary64) y) (/.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 x x))))))
(*.f64 (-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 64/9 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 x x)) (/.f64 #s(literal -8/3 binary64) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 8/3 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) y))
(neg.f64 (/.f64 #s(literal -8/3 binary64) y))
(/.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 8/3 binary64)))
(/.f64 #s(literal 8/3 binary64) y)
(/.f64 #s(literal -1 binary64) (/.f64 y #s(literal -8/3 binary64)))
(pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(/.f64 y (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y x) x)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 (*.f64 x x) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y)
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 x x))
(/.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 x x) y))
(/.f64 #s(literal -3/8 binary64) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 y #s(literal -8/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) #s(literal -3/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (/.f64 y #s(literal -8/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y)) #s(literal 3/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -3/8 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y x) #s(literal -3/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 y #s(literal -8/3 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (/.f64 y #s(literal -8/3 binary64)))))
(/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)))
(/.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 y #s(literal 8/3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -3/8 binary64) x) (/.f64 x y))
(/.f64 (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 x y)) x)
(/.f64 (*.f64 (/.f64 y x) #s(literal -3/8 binary64)) x)
(/.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) x) x)
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 x y))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -3/8 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (*.f64 x x) (/.f64 y #s(literal -8/3 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) y) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -3/8 binary64)))
(*.f64 y (/.f64 #s(literal -3/8 binary64) (*.f64 x x)))
(*.f64 (/.f64 y #s(literal -8/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 x x)))
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(*.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 y x) (/.f64 #s(literal -3/8 binary64) x))
(*.f64 (/.f64 #s(literal -3/8 binary64) x) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y #s(literal -8/3 binary64)) x))
(*.f64 (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 y x) #s(literal -3/8 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 #s(literal 3/8 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 3/8 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) y) x))
(*.f64 (/.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) y) x))

simplify384.0ms (4.6%)

Algorithm
egg-herbie
Rules
2502×*-lowering-*.f32
2502×*-lowering-*.f64
1984×fma-lowering-fma.f32
1984×fma-lowering-fma.f64
1788×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0671209
11821053
25231050
315681026
447581026
080811026
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* -3/8 y)
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(* 8/3 (/ (pow x 2) y))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* 8/3 (/ (pow x 2) y))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* 8/3 (/ (pow x 2) y))
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)
(* -3/8 y)
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 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)
(/ 8/3 y)
(/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y)
(/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y)
(/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y)
(* -3/8 (/ y (pow x 2)))
(* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2)))))
(* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2)))))
(* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2)))))
(* -3/8 (/ y (pow x 2)))
(* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2))))))
(* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2))))))
(* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2))))))
(* -3/8 (/ y (pow x 2)))
(/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2))
(/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2))
(/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2))
(/ 8/3 y)
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))
(/ 8/3 y)
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
(* -3/8 (/ y (pow x 2)))
Outputs
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
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(*.f64 #s(literal -3/8 binary64) y)
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(*.f64 #s(literal -3/8 binary64) y)
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(*.f64 #s(literal -3/8 binary64) y)
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(*.f64 #s(literal 9/64 binary64) (*.f64 y y))
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(*.f64 #s(literal 9/64 binary64) (*.f64 y y))
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(*.f64 #s(literal 9/64 binary64) (*.f64 y y))
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(*.f64 #s(literal 9/64 binary64) (*.f64 y y))
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(*.f64 #s(literal 9/64 binary64) (*.f64 y y))
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(*.f64 #s(literal 9/64 binary64) (*.f64 y y))
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(*.f64 #s(literal 9/64 binary64) (*.f64 y y))
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(*.f64 #s(literal 9/64 binary64) (*.f64 y y))
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(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
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(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(* 8/3 (/ (pow x 2) y))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(* 8/3 (/ (pow x 2) y))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(* 8/3 (/ (pow x 2) y))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 8/3 binary64)))) y)
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 8/3 binary64)))) y)
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 8/3 binary64)))) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y)
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y)) x) x)) y)
(/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y)
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y)) x) x)) y)
(/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y)
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y)) x) x)) y)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2)))))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y))
(* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2)))))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y))
(* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2)))))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y))
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2))))))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y))
(* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2))))))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y))
(* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2))))))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y))
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2))
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) (*.f64 x x))
(/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2))
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) (*.f64 x x))
(/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2))
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) (*.f64 x x))
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y))
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y))
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y))
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y))
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y))
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y))
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
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(/ y (pow x 2))
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(/ y (pow x 2))
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(/ y (pow x 2))
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(/ y (pow x 2))
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(/ y (pow x 2))
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(/ y (pow x 2))
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(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
(/.f64 y (*.f64 x x))
(/ y (pow x 2))
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(/ y (pow x 2))
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(/ y (pow x 2))
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(/ y (pow x 2))
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(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(* -3/8 (/ y (pow x 2)))
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)

eval185.0ms (2.2%)

Compiler

Compiled 17284 to 2028 computations (88.3% saved)

prune219.0ms (2.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New114311144
Fresh000
Picked235
Done022
Total114561151
Accuracy
100.0%
Counts
1151 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(/.f64 y #s(literal -8/3 binary64))
50.6%
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
50.6%
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 64/9 binary64) y))
99.8%
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x)
50.7%
(*.f64 #s(literal -3/8 binary64) y)
51.3%
x
Compiler

Compiled 198 to 83 computations (58.1% saved)

regimes26.0ms (0.3%)

Counts
19 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -3/8 binary64) y)
(/.f64 y #s(literal -8/3 binary64))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x)
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 64/9 binary64) y))
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) #s(literal -3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y))
(/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 8/3 binary64) y) (*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))
(*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(fma.f64 y #s(literal -3/8 binary64) x)
Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
Calls

4 calls:

7.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
6.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
100.0%1(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes25.0ms (0.3%)

Counts
18 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -3/8 binary64) y)
(/.f64 y #s(literal -8/3 binary64))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x)
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 64/9 binary64) y))
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) #s(literal -3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y))
(/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 8/3 binary64) y) (*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))
(*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
Outputs
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
Calls

4 calls:

6.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
6.0ms
y
6.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
5.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
99.9%1(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes4.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal -3/8 binary64) y)
(/.f64 y #s(literal -8/3 binary64))
Outputs
x
(*.f64 #s(literal -3/8 binary64) y)
x
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
80.1%3x
78.8%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

3.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
51.3%1y
51.3%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch30.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.2231998273175024e+31
6.5193314968631644e+35
15.0ms
-3.013483748349875e-93
-2.617403794309478e-100
Results
14.0ms253×0valid
2.0ms3valid
1.0ms11×1valid
1.0ms2valid
Compiler

Compiled 184 to 147 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (39% of total)
ival-div: 2.0ms (26% of total)
ival-sub: 2.0ms (26% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
11923
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y #s(literal -3/8 binary64) x)
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(if (<=.f64 x #s(literal -1761406937080375/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) x (if (<=.f64 x #s(literal 17500000000000000488718423031808 binary64)) (*.f64 #s(literal -3/8 binary64) y) x))
x
Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(if (<=.f64 x #s(literal -1761406937080375/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) x (if (<=.f64 x #s(literal 17500000000000000488718423031808 binary64)) (*.f64 #s(literal -3/8 binary64) y) x))
(if (<=.f64 x #s(literal -1761406937080375/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) x (if (<=.f64 x #s(literal 17500000000000000488718423031808 binary64)) (*.f64 y #s(literal -3/8 binary64)) x))
x

soundness879.0ms (10.6%)

Rules
3044×*-lowering-*.f32
3044×*-lowering-*.f64
2620×/-lowering-/.f32
2620×/-lowering-/.f64
1744×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058
1207
21777
319257
085647
023138
166120
2186120
3499120
41449120
54063120
66264120
08007120
085
1155
2254
3414
4594
51004
61814
72854
83644
95614
106814
116954
06954
Stop Event
fuel
iter limit
saturated
iter limit
node limit
iter limit
node limit
Compiler

Compiled 77 to 49 computations (36.4% saved)

preprocess30.0ms (0.4%)

Compiler

Compiled 68 to 38 computations (44.1% saved)

end0.0ms (0%)

Profiling

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