Graphics.Rendering.Chart.Plot.AreaSpots:renderSpotLegend from Chart-1.5.3

Time bar (total: 2.8s)

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 11 to 8 computations (27.3% saved)

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

sample1.2s (41.8%)

Results
802.0ms7931×0valid
23.0ms157×1valid
21.0ms99×2valid
56.0ms69×3valid
Precisions
Click to see histograms. Total time spent on operations: 322.0ms
ival-sub: 99.0ms (30.7% of total)
ival-div: 77.0ms (23.9% of total)
ival-fabs: 64.0ms (19.9% of total)
ival-add: 53.0ms (16.5% of total)
backward-pass: 15.0ms (4.7% of total)
const: 13.0ms (4% of total)
Bogosity

preprocess76.0ms (2.7%)

Algorithm
egg-herbie
Rules
223×fma-neg
67×fma-define
47×sub-neg
36×cancel-sign-sub-inv
28×distribute-lft-neg-in
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
029256
158224
2146224
3313224
4480220
5628216
6733204
7824204
8852204
9865204
10871204
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(+.f64 (neg.f64 x) (/.f64 (fabs.f64 (-.f64 y (neg.f64 x))) #s(literal 2 binary64)))
(+.f64 x (/.f64 (fabs.f64 (-.f64 (neg.f64 y) x)) #s(literal 2 binary64)))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (fabs.f64 (-.f64 y (neg.f64 x))) #s(literal 2 binary64))))
(neg.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 (neg.f64 y) x)) #s(literal 2 binary64))))
(+.f64 y (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+.f64 (neg.f64 x) (/.f64 (fabs.f64 (-.f64 y (neg.f64 x))) #s(literal 2 binary64)))
(-.f64 (*.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/2 binary64)) x)
(+.f64 x (/.f64 (fabs.f64 (-.f64 (neg.f64 y) x)) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/2 binary64) x)
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (fabs.f64 (-.f64 y (neg.f64 x))) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (+.f64 x y)) #s(literal -1/2 binary64) x)
(neg.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 (neg.f64 y) x)) #s(literal 2 binary64))))
(-.f64 (*.f64 (fabs.f64 (+.f64 x y)) #s(literal -1/2 binary64)) x)
(+.f64 y (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) y)

explain92.0ms (3.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(fabs.f64 (-.f64 y x))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
00-0-(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
00-0-(-.f64 y x)
Results
50.0ms484×256valid
5.0ms20×1024valid
2.0ms2048valid
0.0ms512valid
Compiler

Compiled 64 to 29 computations (54.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 8.0ms (40.8% of total)
ival-sub: 4.0ms (20.4% of total)
ival-fabs: 4.0ms (20.4% of total)
ival-add: 3.0ms (15.3% of total)
const: 1.0ms (5.1% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

localize39.0ms (1.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Results
24.0ms242×256valid
2.0ms10×1024valid
1.0ms2048valid
0.0ms512valid
Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (41.1% of total)
ival-sub: 2.0ms (20.5% of total)
ival-fabs: 2.0ms (20.5% of total)
const: 1.0ms (10.3% of total)
ival-add: 1.0ms (10.3% of total)

series4.0ms (0.1%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) x)) #s(literal 1 binary64))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))))>
Calls

6 calls:

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

rewrite226.0ms (8.1%)

Algorithm
batch-egg-rewrite
Rules
804×log1p-expm1-u
804×expm1-log1p-u
380×fma-define
334×log-prod
187×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01332
115824
2243424
Stop Event
node limit
Counts
1 → 63
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Outputs
(+.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)))
(pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)

simplify81.0ms (2.9%)

Algorithm
egg-herbie
Rules
569×fma-neg
366×distribute-lft-neg-in
330×fma-define
329×associate-*r*
325×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01843614
13873303
29983174
346402902
Stop Event
node limit
Counts
87 → 75
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) x)) #s(literal 1 binary64))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))))
(+.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)))
(pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
Outputs
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y x))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x y) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x y) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x y) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x y) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x y) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x y) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 y x)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (neg.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)

eval20.0ms (0.7%)

Compiler

Compiled 1022 to 558 computations (45.4% saved)

prune16.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New69675
Fresh000
Picked011
Done000
Total69776
Accuracy
99.9%
Counts
76 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.4%
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
49.2%
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
54.4%
(+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
25.7%
(*.f64 #s(literal 1/2 binary64) (-.f64 y x))
53.5%
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
11.5%
x
Compiler

Compiled 128 to 83 computations (35.2% saved)

localize98.0ms (3.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.6%
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
100.0%
(+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
Results
28.0ms129×256invalid
37.0ms127×256valid
Compiler

Compiled 80 to 30 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 16.0ms (41.7% of total)
ival-sqrt: 12.0ms (31.3% of total)
composed: 3.0ms (7.8% of total)
ival-add: 3.0ms (7.8% of total)
ival-sub: 2.0ms (5.2% of total)
ival-fabs: 2.0ms (5.2% of total)
const: 2.0ms (5.2% of total)

series8.0ms (0.3%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)>
#<alt (fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)>
Outputs
#<alt (+.f64 x (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) x)) y)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) x)) y)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) x)) y)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)) (+.f64 (/.f64 x y) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)) (+.f64 (/.f64 x y) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)) (+.f64 (/.f64 x y) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))>
Calls

12 calls:

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

rewrite126.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
782×log1p-expm1-u
782×expm1-log1p-u
708×unpow-prod-down
365×log-prod
343×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01548
117248
2213948
Stop Event
node limit
Counts
2 → 170
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
Outputs
(+.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)))
(*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (-.f64 y x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) x)
(fma.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (cbrt.f64 (-.f64 y x)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)))
(*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (-.f64 y x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) x)
(fma.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (cbrt.f64 (-.f64 y x)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)) x)

simplify121.0ms (4.4%)

Algorithm
egg-herbie
Rules
664×fma-define
484×unswap-sqr
401×distribute-lft-in
376×distribute-rgt-in
237×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02887868
17087620
217796920
362236848
Stop Event
node limit
Counts
218 → 116
Calls
Call 1
Inputs
(+.f64 x (*.f64 #s(literal -1/2 binary64) x))
(+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 x y))))
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(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) x)
(fma.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (cbrt.f64 (-.f64 y x)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)))
(*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x) (fma.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (-.f64 y x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) x)
(fma.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (cbrt.f64 (-.f64 y x)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)) x)
Outputs
(+.f64 x (*.f64 #s(literal -1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))
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(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) x)
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (cbrt.f64 (-.f64 y x)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y x))) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (*.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (sqrt.f64 (-.f64 y x))) x)

eval37.0ms (1.3%)

Compiler

Compiled 1775 to 1046 computations (41.1% saved)

prune18.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1133116
Fresh101
Picked325
Done011
Total1176123
Accuracy
99.9%
Counts
123 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
30.5%
(*.f64 x #s(literal 1/2 binary64))
54.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
53.5%
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
26.8%
(*.f64 #s(literal 1/2 binary64) y)
11.5%
x
Compiler

Compiled 38 to 28 computations (26.3% saved)

localize40.0ms (1.5%)

Results
28.0ms256×256valid
Compiler

Compiled 24 to 13 computations (45.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (70.3% of total)
ival-add: 2.0ms (23.4% of total)
const: 1.0ms (11.7% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked033
Done033
Total066
Accuracy
99.9%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
30.5%
(*.f64 x #s(literal 1/2 binary64))
54.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
53.5%
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
26.8%
(*.f64 #s(literal 1/2 binary64) y)
11.5%
x
Compiler

Compiled 106 to 62 computations (41.5% saved)

regimes13.0ms (0.5%)

Counts
10 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(*.f64 #s(literal 1/2 binary64) (-.f64 y x))
(+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Calls

3 calls:

5.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
4.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes16.0ms (0.6%)

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

2 calls:

10.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
69.8%2x
73.9%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.2%)

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

2 calls:

3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
54.4%1x
54.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.2%)

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

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
44.6%2x
48.6%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

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

2 calls:

2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
26.8%1x
33.2%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (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:

1.0ms
y
0.0ms
x
Results
AccuracySegmentsBranch
11.5%1x
11.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch17.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-2.2496922965426395e+38
-4.99267799227644e+33
Results
10.0ms123×0valid
0.0ms1valid
0.0ms2valid
Compiler

Compiled 151 to 115 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (25% of total)
ival-sub: 1.0ms (25% of total)
ival-add: 1.0ms (25% of total)
ival-fabs: 1.0ms (25% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch5.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
4.0ms
6.325569225373516e-75
7.05093690143049e-75
Results
3.0ms32×0valid
Compiler

Compiled 39 to 31 computations (20.5% saved)

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

bsearch23.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
1.191051429995571e-127
1.0287428082998951e-101
Results
13.0ms166×0valid
1.0ms1valid
1.0ms2valid
Compiler

Compiled 125 to 99 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (32.6% of total)
ival-sub: 1.0ms (16.3% of total)
ival-add: 1.0ms (16.3% of total)
ival-fabs: 1.0ms (16.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031167
141167
248167
353167
456167
557167
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -60000000000000004316125673517194674176 binary64)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(if (<=.f64 y #s(literal 6925922319537253/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 8722064691547283/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) x (*.f64 #s(literal 1/2 binary64) y))
x
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -60000000000000004316125673517194674176 binary64)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(if (<=.f64 y #s(literal -60000000000000004316125673517194674176 binary64)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(if (<=.f64 y #s(literal 6925922319537253/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 6925922319537253/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 y #s(literal 8722064691547283/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) x (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 8722064691547283/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) x (*.f64 y #s(literal 1/2 binary64)))
x

soundness310.0ms (11.2%)

Rules
804×log1p-expm1-u
804×expm1-log1p-u
664×fma-define
484×unswap-sqr
401×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02887868
17087620
217796920
362236848
01332
115824
2243424
Stop Event
done
node limit
node limit
Compiler

Compiled 183 to 107 computations (41.5% saved)

preprocess205.0ms (7.4%)

Compiler

Compiled 118 to 72 computations (39% saved)

end0.0ms (0%)

Profiling

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