Data.Colour.CIE:cieLAB from colour-2.3.3, D

Time bar (total: 3.7s)

analyze3.0ms (0.1%)

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 8 to 6 computations (25% 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)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample597.0ms (16.2%)

Results
385.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-div: 123.0ms (63.9% of total)
ival-sub: 57.0ms (29.6% of total)
const: 10.0ms (5.2% of total)
backward-pass: 3.0ms (1.6% of total)
Bogosity

preprocess27.0ms (0.7%)

Algorithm
egg-herbie
Rules
128×accelerator-lowering-fma.f32
128×accelerator-lowering-fma.f64
80×*-lowering-*.f32
80×*-lowering-*.f64
60×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01434
13332
27830
316130
428230
534530
635130
055
175
2175
3255
4375
5565
6925
71245
81795
92105
102435
112445
02444
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- x (/ y 200))
Outputs
(- x (/ y 200))
(+.f64 x (/.f64 y #s(literal -200 binary64)))
Call 2
Inputs
(- x (/ y 200))
(- (neg x) (/ y 200))
(- x (/ (neg y) 200))
(neg (- (neg x) (/ y 200)))
(neg (- x (/ (neg y) 200)))
(- y (/ x 200))
Outputs
(- x (/ y 200))
(+ x (* y -1/200))
(- (neg x) (/ y 200))
(- (* y -1/200) x)
(- x (/ (neg y) 200))
(- x (* y -1/200))
(neg (- (neg x) (/ y 200)))
(- x (* y -1/200))
(neg (- x (/ (neg y) 200)))
(- (* y -1/200) x)
(- y (/ x 200))
(+ y (* x -1/200))

explain63.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 x (/.f64 y #s(literal 200 binary64)))
00-0-(/.f64 y #s(literal 200 binary64))
00-0-y
00-0-#s(literal 200 binary64)
Results
40.0ms512×0valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 18.0ms (80.9% of total)
ival-sub: 3.0ms (13.5% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (/.f64 y #s(literal 200 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize46.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y #s(literal 200 binary64))
cost-diff0
(-.f64 x (/.f64 y #s(literal 200 binary64)))
accuracy100.0%
(/.f64 y #s(literal 200 binary64))
accuracy100.0%
(-.f64 x (/.f64 y #s(literal 200 binary64)))
Rules
128×accelerator-lowering-fma.f32
128×accelerator-lowering-fma.f64
80×*-lowering-*.f32
80×*-lowering-*.f64
40×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1711
21711
32511
43711
55611
69211
712411
817911
921011
1024311
1124411
024410
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- x (/ y 200))
x
(/ y 200)
y
200
Outputs
(- x (/ y 200))
(+.f64 x (/.f64 y #s(literal -200 binary64)))
x
(/ y 200)
(*.f64 y #s(literal 1/200 binary64))
y
200
#s(literal 200 binary64)
Results
18.0ms256×0valid
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 4.0ms (67.6% of total)
ival-sub: 1.0ms (16.9% of total)
const: 1.0ms (16.9% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (- x (/ y 200))>
#<alt (/ y 200)>
Outputs
#<alt (* -1/200 y)>
#<alt (- x (* 1/200 y))>
#<alt (- x (* 1/200 y))>
#<alt (- x (* 1/200 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -1/200 y))>
#<alt (+ x (* -1/200 y))>
#<alt (+ x (* -1/200 y))>
#<alt (* -1/200 y)>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* -1/200 y)>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(/ y 200)
0.0ms
y
@inf
(- x (/ y 200))
0.0ms
y
@inf
(/ y 200)
0.0ms
x
@inf
(- x (/ y 200))
0.0ms
y
@0
(- x (/ y 200))

rewrite449.0ms (12.2%)

Algorithm
batch-egg-rewrite
Rules
3368×accelerator-lowering-fma.f32
3368×accelerator-lowering-fma.f64
3224×*-lowering-*.f32
3224×*-lowering-*.f64
2912×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1308
22468
340628
081557
Stop Event
iter limit
node limit
Counts
2 → 130
Calls
Call 1
Inputs
(- x (/ y 200))
(/ y 200)
Outputs
(+.f64 x (/.f64 y #s(literal -200 binary64)))
(+.f64 (/.f64 y #s(literal -200 binary64)) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -200 binary64))))) #s(literal -1 binary64)))
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y #s(literal 200 binary64)) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 y #s(literal 200 binary64)))
(fma.f64 x #s(literal 1 binary64) (/.f64 y #s(literal -200 binary64)))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 200 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(fma.f64 x (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y))))))
(fma.f64 y #s(literal -1/200 binary64) x)
(fma.f64 (/.f64 y #s(literal 200 binary64)) #s(literal -1 binary64) x)
(fma.f64 (neg.f64 y) #s(literal 1/200 binary64) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y))))))
(fma.f64 #s(literal 1 binary64) x (/.f64 y #s(literal -200 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -200 binary64)) x)
(fma.f64 #s(literal 1/200 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1/200 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal 200 binary64)) x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y))))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal -40000 binary64)))) (+.f64 x (/.f64 y #s(literal -200 binary64))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 200 binary64)) x) (/.f64 #s(literal 200 binary64) y))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (*.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (*.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 x (/.f64 y #s(literal 200 binary64)))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)) (-.f64 (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)) (*.f64 x x)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (*.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 x (/.f64 y #s(literal 200 binary64))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal -200 binary64)) (+.f64 x (/.f64 y #s(literal 200 binary64))))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal -40000 binary64))) (+.f64 (/.f64 y #s(literal -200 binary64)) (neg.f64 x))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 y (/.f64 #s(literal 40000 binary64) y))) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -200 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -200 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal -40000 binary64))) (+.f64 x (/.f64 y #s(literal 200 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -200 binary64))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 y (/.f64 #s(literal 40000 binary64) y))) (+.f64 (/.f64 y #s(literal -200 binary64)) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (-.f64 (*.f64 x x) (/.f64 x (/.f64 #s(literal -200 binary64) y)))))
(/.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 512000000000000000000 binary64))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 64000000000000 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 64000000000000 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1600000000 binary64))) (*.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (*.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))) (*.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(/.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 512000000000000000000 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 64000000000000 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -200 binary64)) x) (/.f64 #s(literal -200 binary64) y)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 64000000000000 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y))))) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1600000000 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y))) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal -40000 binary64))) #s(literal 1 binary64)) (+.f64 x (/.f64 y #s(literal 200 binary64))))
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(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -200 binary64)))
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(*.f64 (pow.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (exp.f64 (log.f64 y)))

simplify346.0ms (9.4%)

Algorithm
egg-herbie
Rules
3160×accelerator-lowering-fma.f32
3160×accelerator-lowering-fma.f64
2584×*-lowering-*.f32
2584×*-lowering-*.f64
2384×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025138
168138
2170138
3455138
41250138
52461138
63264138
73600138
83896138
94079138
105224138
116020138
126788138
137056138
147836138
08372120
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
Outputs
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(- x (* 1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(- x (* 1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(- x (* 1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* x (+ 1 (* -1/200 (/ y x))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* x (+ 1 (* -1/200 (/ y x))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
x
(+ x (* -1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(+ x (* -1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(+ x (* -1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* y (- (/ x y) 1/200))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* y (- (/ x y) 1/200))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* y (- (/ x y) 1/200))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))

eval29.0ms (0.8%)

Compiler

Compiled 3703 to 1789 computations (51.7% saved)

prune19.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1624166
Fresh000
Picked011
Done000
Total1625167
Accuracy
100.0%
Counts
167 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (/.f64 y #s(literal 200 binary64)))
99.8%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
99.8%
(-.f64 x (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y)))
48.0%
(*.f64 #s(literal -1/200 binary64) y)
53.3%
x
Compiler

Compiled 33 to 25 computations (24.2% saved)

localize159.0ms (4.3%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 200 binary64) y)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
cost-diff128
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff128
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
cost-diff128
(-.f64 x (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y)))
cost-diff0
(*.f64 #s(literal -1/200 binary64) y)
accuracy100.0%
(/.f64 #s(literal 200 binary64) y)
accuracy100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(-.f64 x (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y)))
accuracy99.6%
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
accuracy99.7%
(*.f64 #s(literal -1/200 binary64) y)
Rules
160×accelerator-lowering-fma.f32
160×accelerator-lowering-fma.f64
112×*-lowering-*.f32
112×*-lowering-*.f64
64×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01331
12331
23931
36431
48631
511031
615031
718431
823131
927431
1034231
1135431
035429
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
x
(* -1/200 y)
-1/200
y
(- x (/ 1/200 (/ 1 y)))
(/ 1/200 (/ 1 y))
1/200
(/ 1 y)
1
(- x (/ 1 (/ 200 y)))
(/ 1 (/ 200 y))
(/ 200 y)
200
Outputs
x
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
-1/200
#s(literal -1/200 binary64)
y
(- x (/ 1/200 (/ 1 y)))
(+.f64 x (*.f64 #s(literal -1/200 binary64) y))
(/ 1/200 (/ 1 y))
(*.f64 y #s(literal 1/200 binary64))
1/200
#s(literal 1/200 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(- x (/ 1 (/ 200 y)))
(+.f64 x (*.f64 #s(literal -1/200 binary64) y))
(/ 1 (/ 200 y))
(*.f64 y #s(literal 1/200 binary64))
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
200
#s(literal 200 binary64)
Results
46.0ms256×0valid
Compiler

Compiled 47 to 32 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 18.0ms (73.6% of total)
ival-sub: 3.0ms (12.3% of total)
ival-mult: 2.0ms (8.2% of total)
const: 2.0ms (8.2% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.2%)

Counts
7 → 108
Calls
Call 1
Inputs
#<alt (* -1/200 y)>
#<alt (/ 1/200 (/ 1 y))>
#<alt (- x (/ 1/200 (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (/ 1 (/ 200 y))>
#<alt (- x (/ 1 (/ 200 y)))>
#<alt (/ 200 y)>
Outputs
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* -1/200 y)>
#<alt (- x (* 1/200 y))>
#<alt (- x (* 1/200 y))>
#<alt (- x (* 1/200 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -1/200 y))>
#<alt (+ x (* -1/200 y))>
#<alt (+ x (* -1/200 y))>
#<alt (* -1/200 y)>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* -1/200 y)>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x 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 (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* -1/200 y)>
#<alt (- x (* 1/200 y))>
#<alt (- x (* 1/200 y))>
#<alt (- x (* 1/200 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -1/200 y))>
#<alt (+ x (* -1/200 y))>
#<alt (+ x (* -1/200 y))>
#<alt (* -1/200 y)>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* -1/200 y)>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
Calls

27 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/ 200 y)
0.0ms
y
@0
(* -1/200 y)
0.0ms
y
@-inf
(/ 200 y)
0.0ms
y
@-inf
(/ 1 y)
0.0ms
y
@inf
(/ 200 y)

rewrite472.0ms (12.8%)

Algorithm
batch-egg-rewrite
Rules
3078×accelerator-lowering-fma.f32
3078×accelerator-lowering-fma.f64
2824×*-lowering-*.f32
2824×*-lowering-*.f64
2064×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01325
17625
245725
3423225
0898223
Stop Event
iter limit
node limit
Counts
7 → 439
Calls
Call 1
Inputs
(* -1/200 y)
(/ 1/200 (/ 1 y))
(- x (/ 1/200 (/ 1 y)))
(/ 1 y)
(/ 1 (/ 200 y))
(- x (/ 1 (/ 200 y)))
(/ 200 y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal 200 binary64)))
(exp.f64 (log.f64 (/.f64 y #s(literal 200 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 200 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 200 binary64) y))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 200 binary64) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 200 binary64)))
(neg.f64 (/.f64 y #s(literal 200 binary64)))
(/.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1/200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 y #s(literal 200 binary64))
(/.f64 y #s(literal -200 binary64))
(/.f64 y (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 y #s(literal 200 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 200 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -200 binary64))
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 1/40000 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 200 binary64))))))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/40000 binary64))) (/.f64 y #s(literal 200 binary64)))
(/.f64 (/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (exp.f64 (log.f64 #s(literal -1/200 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 200 binary64) y))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 y #s(literal 1/40000 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/40000 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 200 binary64) y)))
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 y #s(literal -1/200 binary64))
(*.f64 y #s(literal 1/200 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 200 binary64)))
(*.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 y #s(literal 200 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal 200 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/200 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/200 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) y)
(*.f64 (exp.f64 (log.f64 #s(literal -1/200 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 y #s(literal 200 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal 200 binary64)))
(exp.f64 (log.f64 (/.f64 y #s(literal 200 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 200 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 200 binary64) y))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 200 binary64) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 200 binary64)))
(neg.f64 (/.f64 y #s(literal 200 binary64)))
(/.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1/200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 y #s(literal 200 binary64))
(/.f64 y #s(literal -200 binary64))
(/.f64 y (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 y #s(literal 200 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 200 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -200 binary64))
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 1/40000 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 200 binary64))))))
(/.f64 (*.f64 y (*.f64 y #s(literal 1/40000 binary64))) (/.f64 y #s(literal 200 binary64)))
(/.f64 (/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (exp.f64 (log.f64 #s(literal -1/200 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 200 binary64) y))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 y #s(literal 1/40000 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/40000 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 200 binary64) y)))
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(*.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (*.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 #s(literal 200 binary64) y)) (neg.f64 (*.f64 x x)))))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) (*.f64 y (*.f64 y #s(literal 1/40000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal 200 binary64)) (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 1/40000 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 #s(literal 200 binary64) y)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64))))
(*.f64 (/.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)))) (/.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 #s(literal 200 binary64) y))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 1/40000 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)))) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 #s(literal 200 binary64) y))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 1/40000 binary64)))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 1/40000 binary64))))) (+.f64 x (/.f64 y #s(literal 200 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (*.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 1/40000 binary64)))) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (/.f64 #s(literal 8000000 binary64) (*.f64 y (*.f64 y y)))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (/.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 #s(literal 200 binary64) y)) (-.f64 (/.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 #s(literal 200 binary64) y)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y #s(literal 1/40000 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 1/40000 binary64))))))) (+.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 #s(literal 200 binary64) y))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 1/40000 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 1/40000 binary64)))) (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)))) (+.f64 (/.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 #s(literal 200 binary64) y)) (neg.f64 (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 1/40000 binary64)))) (+.f64 (neg.f64 (*.f64 x x)) (*.f64 y (*.f64 y #s(literal 1/40000 binary64))))) (+.f64 (/.f64 y #s(literal 200 binary64)) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 200 binary64) y))
(exp.f64 (log.f64 (/.f64 #s(literal 200 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 200 binary64) y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 200 binary64) y))
(neg.f64 (/.f64 #s(literal 200 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 200 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/200 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/200 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(/.f64 #s(literal 200 binary64) y)
(/.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 200 binary64) y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 200 binary64) y) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 y #s(literal 200 binary64)))
(/.f64 #s(literal -200 binary64) y)
(/.f64 #s(literal -200 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/200 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/200 binary64))
(/.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8000000 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/40000 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 200 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/40000 binary64))))) (/.f64 #s(literal 200 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)))
(/.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 y #s(literal 200 binary64)))
(/.f64 (exp.f64 (log.f64 #s(literal 200 binary64))) y)
(/.f64 (exp.f64 (log.f64 #s(literal -200 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y #s(literal 200 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y (*.f64 y #s(literal 1/40000 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/40000 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y #s(literal 200 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 200 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -200 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (log.f64 #s(literal 200 binary64))))
(*.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 200 binary64) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 200 binary64) y))
(*.f64 #s(literal -200 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -200 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -200 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 200 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -200 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 200 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/200 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -200 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 200 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 200 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal -200 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))))

simplify545.0ms (14.8%)

Algorithm
egg-herbie
Rules
2712×accelerator-lowering-fma.f32
2712×accelerator-lowering-fma.f64
2648×*-lowering-*.f32
2648×*-lowering-*.f64
2536×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028384
171384
2173384
3457384
41251384
52442384
63259384
73617384
83923384
94113384
105322384
116170384
126962384
137238384
08026348
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x 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)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
Outputs
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(- x (* 1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(- x (* 1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(- x (* 1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* x (+ 1 (* -1/200 (/ y x))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* x (+ 1 (* -1/200 (/ y x))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
x
(+ x (* -1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(+ x (* -1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(+ x (* -1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* y (- (/ x y) 1/200))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* y (- (/ x y) 1/200))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* y (- (/ x y) 1/200))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(- x (* 1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(- x (* 1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(- x (* 1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* x (+ 1 (* -1/200 (/ y x))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* x (+ 1 (* -1/200 (/ y x))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
x
(+ x (* -1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(+ x (* -1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(+ x (* -1/200 y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* y (- (/ x y) 1/200))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* y (- (/ x y) 1/200))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* y (- (/ x y) 1/200))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)
(/ 200 y)
(/.f64 #s(literal 200 binary64) y)

eval97.0ms (2.6%)

Compiler

Compiled 8383 to 4721 computations (43.7% saved)

prune41.0ms (1.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New5461547
Fresh000
Picked134
Done011
Total5475552
Accuracy
100.0%
Counts
552 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.2%
(/.f64 y #s(literal -200 binary64))
100.0%
(-.f64 x (/.f64 y #s(literal 200 binary64)))
99.8%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
99.8%
(-.f64 x (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y)))
53.3%
x
Compiler

Compiled 33 to 25 computations (24.2% saved)

localize28.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y #s(literal -200 binary64))
accuracy100.0%
(/.f64 y #s(literal -200 binary64))
Rules
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
035
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ y -200)
y
-200
Outputs
(/ y -200)
(/.f64 y #s(literal -200 binary64))
y
-200
#s(literal -200 binary64)
Results
10.0ms256×0valid
Compiler

Compiled 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 3.0ms (89.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (/ y -200)>
Outputs
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/ y -200)
0.0ms
y
@inf
(/ y -200)
0.0ms
y
@-inf
(/ y -200)

rewrite376.0ms (10.2%)

Algorithm
batch-egg-rewrite
Rules
3406×accelerator-lowering-fma.f32
3406×accelerator-lowering-fma.f64
2330×*-lowering-*.f32
2330×*-lowering-*.f64
1942×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1133
2383
31413
46463
564463
083693
Stop Event
iter limit
node limit
Counts
1 → 341
Calls
Call 1
Inputs
(/ y -200)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal -200 binary64)))
(+.f64 (/.f64 y #s(literal -200 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (/.f64 y #s(literal -200 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal -200 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 40000 binary64) (*.f64 y y))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 200 binary64) (*.f64 y y))) (/.f64 y #s(literal -200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal 200 binary64))) (/.f64 y #s(literal -200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) #s(literal 40000 binary64))) (/.f64 y #s(literal -200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 1/200 binary64) #s(literal 0 binary64))
(fma.f64 y (pow.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 y (*.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/200 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/200 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -200 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/200 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -1/200 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal -200 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/200 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal -200 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal -200 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/200 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -200 binary64) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 200 binary64) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -200 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 200 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1/200 binary64) y) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -200 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 200 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -200 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 200 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 200 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -200 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 y #s(literal -200 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (/.f64 #s(literal 40000 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y y) #s(literal 40000 binary64)) (/.f64 #s(literal -200 binary64) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 200 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 200 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -200 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -200 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) y #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 y #s(literal -200 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/200 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (pow.f64 y #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1/200 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64))) y #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 y #s(literal -200 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
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(*.f64 (/.f64 y #s(literal -200 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 y #s(literal -200 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/200 binary64) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -200 binary64) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 200 binary64) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/200 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/200 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -200 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 200 binary64)))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1/200 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -200 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 200 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/200 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/200 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -200 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 200 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 1/200 binary64)))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1/200 binary64)))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 200 binary64)))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -200 binary64)))
(*.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 y #s(literal -200 binary64)))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8000000 binary64)) (/.f64 #s(literal 40000 binary64) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 y y) #s(literal 40000 binary64)) (/.f64 #s(literal -200 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 200 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (pow.f64 (/.f64 #s(literal 200 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 y #s(literal -200 binary64)))
(*.f64 (*.f64 #s(literal -1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal -1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/200 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1/200 binary64) (*.f64 y y)))
(*.f64 (*.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64))) y)
(*.f64 (*.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) y))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 y #s(literal -200 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -200 binary64) y))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 (*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 (*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 (*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 y y))
(*.f64 (/.f64 (*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 y y)) y)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-lowering-*.f32
*-lowering-*.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0336
1436
0436
Stop Event
iter limit
saturated
Counts
12 → 12
Calls
Call 1
Inputs
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
Outputs
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)

eval63.0ms (1.7%)

Compiler

Compiled 4232 to 2697 computations (36.3% saved)

prune51.0ms (1.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3530353
Fresh000
Picked011
Done044
Total3535358
Accuracy
100.0%
Counts
358 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.2%
(/.f64 y #s(literal -200 binary64))
100.0%
(-.f64 x (/.f64 y #s(literal 200 binary64)))
99.8%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
99.8%
(-.f64 x (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y)))
53.3%
x
Compiler

Compiled 61 to 44 computations (27.9% saved)

regimes10.0ms (0.3%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/200 binary64) y)
(/.f64 y #s(literal -200 binary64))
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(-.f64 x (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
Calls

4 calls:

3.0ms
(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms
x
2.0ms
(/.f64 y #s(literal 200 binary64))
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 x (/.f64 y #s(literal 200 binary64)))
100.0%1(/.f64 y #s(literal 200 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.2%)

Counts
3 → 5
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/200 binary64) y)
(/.f64 y #s(literal -200 binary64))
Outputs
x
(/.f64 y #s(literal -200 binary64))
x
(/.f64 y #s(literal -200 binary64))
x
Calls

2 calls:

5.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
79.4%5x
77.6%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts
2 → 5
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/200 binary64) y)
Outputs
x
(*.f64 #s(literal -1/200 binary64) y)
x
(*.f64 #s(literal -1/200 binary64) y)
x
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
79.2%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

0.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
53.3%1y
53.3%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch142.0ms (3.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
2.2629142593259365e-36
9.773677482306133e-33
108.0ms
-2.4127440410289463e-44
-1.375151294024721e-51
11.0ms
-4.433420845414632e+30
-17459657486198264.0
11.0ms
-2.9877310178996236e+85
-3.793549037372426e+79
Results
23.0ms576×0valid
Compiler

Compiled 372 to 297 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 5.0ms (57.5% of total)
ival-sub: 3.0ms (34.5% of total)
const: 1.0ms (11.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch57.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
2.2629142593259365e-36
9.773677482306133e-33
10.0ms
-2.4127440410289463e-44
-1.375151294024721e-51
14.0ms
-4.433420845414632e+30
-17459657486198264.0
19.0ms
-2.9877310178996236e+85
-3.793549037372426e+79
Results
36.0ms576×0valid
Compiler

Compiled 372 to 297 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 5.0ms (56.7% of total)
ival-sub: 3.0ms (34% of total)
const: 1.0ms (11.3% of total)
backward-pass: 0.0ms (0% of total)

soundness1.0ms (0%)

Stop Event
done
Compiler

Compiled 58 to 37 computations (36.2% saved)

preprocess31.0ms (0.8%)

Compiler

Compiled 130 to 84 computations (35.4% saved)

end0.0ms (0%)

Profiling

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