Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

Time bar (total: 1.8s)

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 10 to 6 computations (40% saved)

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

sample588.0ms (32.6%)

Results
384.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-add: 88.0ms (49.6% of total)
ival-mult: 80.0ms (45.1% of total)
const: 7.0ms (3.9% of total)
backward-pass: 3.0ms (1.7% of total)
Bogosity

preprocess72.0ms (4%)

Algorithm
egg-herbie
Rules
254×fma-neg
174×fma-define
54×unsub-neg
41×sub-neg
35×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023205
162176
2172176
3469176
4782176
51034176
61105176
71115176
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y)
(+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y))
(neg.f64 (+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y)))
(+.f64 (+.f64 (*.f64 y y) x) x)
Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y))
(-.f64 (-.f64 (*.f64 x x) y) y)
(fma.f64 x x (*.f64 y #s(literal -2 binary64)))
(fma.f64 y #s(literal -2 binary64) (*.f64 x x))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y))
(neg.f64 (+.f64 y (fma.f64 x x y)))
(neg.f64 (fma.f64 x x (*.f64 #s(literal 2 binary64) y)))
(neg.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)))
(neg.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 x x)))
(neg.f64 (+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y)))
(neg.f64 (-.f64 (-.f64 (*.f64 x x) y) y))
(neg.f64 (fma.f64 x x (*.f64 y #s(literal -2 binary64))))
(-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (+.f64 (*.f64 y y) x) x)
(+.f64 x (fma.f64 y y x))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
Symmetry

(abs x)

explain56.0ms (3.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 x x)
00-0-y
00-0-(+.f64 (+.f64 (*.f64 x x) y) y)
00-0-(+.f64 (*.f64 x x) y)
Results
30.0ms512×0valid
Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 5.0ms (47% of total)
ival-mult: 5.0ms (47% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 26 to 10 computations (61.5% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
Compiler

Compiled 17 to 10 computations (41.2% saved)

localize41.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
cost-diff-6272
(+.f64 (*.f64 x x) y)
cost-diff-6272
(+.f64 (+.f64 (*.f64 x x) y) y)
cost-diff0
(*.f64 x x)
accuracy100.0%
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
accuracy100.0%
(*.f64 #s(literal 2 binary64) y)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(+.f64 (*.f64 x x) y)
accuracy100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
Rules
fma-define
+-commutative
associate-+r+
fma-undefine
*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014112
121106
223106
325106
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (*.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 x x) y)
(fma.f64 x x y)
(*.f64 x x)
x
y
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
y
Results
24.0ms256×0valid
Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (40.5% of total)
ival-add: 3.0ms (30.4% of total)
ival-fma: 3.0ms (30.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.6%)

Counts
5 → 84
Calls
Call 1
Inputs
#<alt (+.f64 (+.f64 (*.f64 x x) y) y)>
#<alt (+.f64 (*.f64 x x) y)>
#<alt (*.f64 x x)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (fma.f64 x x (*.f64 #s(literal 2 binary64) y))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))>
#<alt y>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(+ (* x x) y)
0.0ms
x
@0
(+ (+ (* x x) y) y)
0.0ms
x
@inf
(+ (+ (* x x) y) y)
0.0ms
y
@0
(+ (+ (* x x) y) y)
0.0ms
y
@-inf
(* 2 y)

rewrite224.0ms (12.4%)

Algorithm
batch-egg-rewrite
Rules
782×log1p-expm1-u
782×expm1-log1p-u
451×fma-define
348×log-prod
205×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01492
116986
2243680
Stop Event
node limit
Counts
5 → 249
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (*.f64 x x) y)
(*.f64 x x)
(*.f64 #s(literal 2 binary64) y)
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (fma.f64 x x (-.f64 y y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x x (-.f64 y y))))
(*.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 y y)) (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (fma.f64 x x y)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 x x (-.f64 y y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 y y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))))
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(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 y (fma.f64 x x y)))
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(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(+.f64 y (fma.f64 x x y))
(+.f64 (fma.f64 x x y) y)
(+.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (fma.f64 x x (-.f64 y y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x x (-.f64 y y))))
(*.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 y y)) (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (fma.f64 x x y)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 x x (-.f64 y y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 y y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 y (fma.f64 x x y)))
(pow.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 y y)) (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (fma.f64 x x y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x y)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x x y)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x y))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))

simplify168.0ms (9.3%)

Algorithm
egg-herbie
Rules
133×distribute-lft-in
108×distribute-rgt-in
86×*-commutative
83×fma-define
82×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04234294977693
19014294977693
224494294977693
Stop Event
unsound
Counts
333 → 236
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) y)
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
y
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (fma.f64 x x (-.f64 y y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x x (-.f64 y y))))
(*.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 y y)) (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(+.f64 y (fma.f64 x x y))
(+.f64 (fma.f64 x x y) y)
(+.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (fma.f64 x x (-.f64 y y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x x (-.f64 y y))))
(*.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 y y)) (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (fma.f64 x x y)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 x x (-.f64 y y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 y y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 y (fma.f64 x x y)))
(pow.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 y y)) (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (fma.f64 x x y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x y)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x x y)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x y))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) y)
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal -2 binary64))))
y
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x y)
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x y)
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x y)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x y)
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x y)
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
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(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) y)
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y #s(literal 1 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(fma.f64 #s(literal 1 binary64) y y)
(*.f64 #s(literal 2 binary64) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y)
(*.f64 #s(literal 2 binary64) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) y)
(*.f64 #s(literal 2 binary64) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
(*.f64 #s(literal 2 binary64) y)
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(+.f64 y (fma.f64 x x y))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(+.f64 (fma.f64 x x y) y)
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (fma.f64 x x (-.f64 y y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x x (-.f64 y y))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(*.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(*.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 y y))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 y y)) (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (*.f64 y (fma.f64 x x y)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 x x (-.f64 y y)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 y (fma.f64 x x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 y y)) (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (fma.f64 x x y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (fma.f64 x x y))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x x y)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (fma.f64 x x y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x y))) (exp.f64 y)))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (fma.f64 x x y))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (pow.f64 x #s(literal 2 binary64)))

eval42.0ms (2.3%)

Compiler

Compiled 2869 to 624 computations (78.3% saved)

prune36.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2351236
Fresh000
Picked022
Done000
Total2353238
Accuracy
100.0%
Counts
238 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
53.7%
(+.f64 y y)
Compiler

Compiled 22 to 13 computations (40.9% saved)

localize22.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y y)
accuracy100.0%
(+.f64 y y)
Rules
*-commutative
count-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
1814
2914
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 y y)
y
Outputs
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
y
Results
8.0ms256×0valid
Compiler

Compiled 7 to 4 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 2.0ms (109.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0.1%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (+.f64 y y)>
Outputs
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(+ y y)
0.0ms
y
@0
(+ y y)
0.0ms
y
@-inf
(+ y y)

rewrite63.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
253×frac-times
212×associate-*r*
207×log1p-expm1-u
207×expm1-log1p-u
198×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
15410
277010
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(+.f64 y y)
Outputs
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Rules
1-exp
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037151
143151
Stop Event
saturated
Counts
43 → 32
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
Outputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)

eval4.0ms (0.2%)

Compiler

Compiled 36 to 34 computations (5.6% saved)

prune13.0ms (0.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New24832
Fresh000
Picked011
Done022
Total241135
Accuracy
100.0%
Counts
35 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
53.7%
(+.f64 y y)
3.8%
#s(literal 64 binary64)
3.8%
#s(literal 16 binary64)
3.8%
#s(literal 9/2 binary64)
3.7%
#s(literal 1/9 binary64)
2.6%
#s(literal 0 binary64)
2.5%
#s(literal -1/3 binary64)
2.5%
#s(literal -1/2 binary64)
2.4%
#s(literal -3 binary64)
Compiler

Compiled 70 to 61 computations (12.9% saved)

localize19.0ms (1.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
Stop Event
saturated
Calls
Call 1
Inputs
#s(literal 9/2 binary64)
#s(literal -3 binary64)
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
#s(literal 64 binary64)
Outputs
#s(literal 9/2 binary64)
#s(literal -3 binary64)
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
#s(literal 64 binary64)
Results
9.0ms256×0valid
Compiler

Compiled 8 to 8 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
const: 1.0ms (127.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.2%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New000
Fresh033
Picked055
Done033
Total01111
Accuracy
100.0%
Counts
11 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
53.7%
(+.f64 y y)
3.8%
#s(literal 64 binary64)
3.8%
#s(literal 16 binary64)
3.8%
#s(literal 9/2 binary64)
3.7%
#s(literal 1/9 binary64)
2.6%
#s(literal 0 binary64)
2.5%
#s(literal -1/3 binary64)
2.5%
#s(literal -1/2 binary64)
2.4%
#s(literal -3 binary64)
Compiler

Compiled 46 to 37 computations (19.6% saved)

localize64.0ms (3.6%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
Stop Event
saturated
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 16 binary64)
Outputs
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 16 binary64)
Results
7.0ms256×0valid
Compiler

Compiled 6 to 6 computations (0% saved)

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

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.3%)

Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New000
Fresh000
Picked033
Done088
Total01111
Accuracy
100.0%
Counts
11 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
53.7%
(+.f64 y y)
3.8%
#s(literal 64 binary64)
3.8%
#s(literal 16 binary64)
3.8%
#s(literal 9/2 binary64)
3.7%
#s(literal 1/9 binary64)
2.6%
#s(literal 0 binary64)
2.5%
#s(literal -1/3 binary64)
2.5%
#s(literal -1/2 binary64)
2.4%
#s(literal -3 binary64)
Compiler

Compiled 72 to 54 computations (25% saved)

regimes21.0ms (1.2%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 9/2 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
(+.f64 y y)
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
Outputs
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
Calls

4 calls:

7.0ms
(*.f64 x x)
4.0ms
y
4.0ms
(+.f64 (+.f64 (*.f64 x x) y) y)
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x x) y) y)
100.0%1(*.f64 x x)
Compiler

Compiled 20 to 12 computations (40% saved)

regimes24.0ms (1.3%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 9/2 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
(+.f64 y y)
(+.f64 (+.f64 (*.f64 x x) y) y)
Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
Calls

4 calls:

11.0ms
(+.f64 (+.f64 (*.f64 x x) y) y)
4.0ms
x
4.0ms
y
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x x) y) y)
100.0%1(*.f64 x x)
Compiler

Compiled 20 to 12 computations (40% saved)

regimes11.0ms (0.6%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 9/2 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
(+.f64 y y)
Outputs
(+.f64 y y)
Calls

2 calls:

6.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
53.7%1x
53.7%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.4%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 9/2 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
Outputs
#s(literal 9/2 binary64)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
3.8%1y
3.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.4%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
Outputs
#s(literal 1/9 binary64)
Calls

2 calls:

4.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
3.7%1x
3.7%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.3%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
2.6%1y
2.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.3%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
Outputs
#s(literal -1/2 binary64)
Calls

2 calls:

3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
2.5%1x
2.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
Outputs
#s(literal -3 binary64)
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
2.4%1y
2.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02073
12373
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y y)
#s(literal 9/2 binary64)
#s(literal 1/9 binary64)
#s(literal 0 binary64)
#s(literal -1/2 binary64)
#s(literal -3 binary64)
Outputs
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (+.f64 y (*.f64 x x)))
(+.f64 y y)
#s(literal 9/2 binary64)
#s(literal 1/9 binary64)
#s(literal 0 binary64)
#s(literal -1/2 binary64)
#s(literal -3 binary64)

soundness121.0ms (6.7%)

Rules
254×fma-neg
253×frac-times
212×associate-*r*
207×log1p-expm1-u
207×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
15410
277010
023205
162176
2172176
3469176
4782176
51034176
61105176
71115176
Stop Event
done
saturated
node limit
Compiler

Compiled 51 to 25 computations (51% saved)

preprocess150.0ms (8.3%)

Remove

(abs x)

Compiler

Compiled 146 to 88 computations (39.7% saved)

end0.0ms (0%)

Profiling

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