Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

Time bar (total: 3.9s)

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)

sample1.0s (26.2%)

Results
583.0ms8255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 347.0ms
ival-add: 181.0ms (52.2% of total)
ival-mult: 156.0ms (45% of total)
const: 7.0ms (2% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess101.0ms (2.6%)

Algorithm
egg-herbie
Rules
564×fmm-def
418×fma-define
84×cancel-sign-sub-inv
70×unsub-neg
69×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024221
170209
2201177
3660171
41492168
52133168
62246168
72250168
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y)
(+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y))
(neg.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y)))
(+.f64 (+.f64 (*.f64 y x) y) x)
Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y)
(+.f64 y (-.f64 (*.f64 x (neg.f64 y)) x))
(+.f64 y (neg.f64 (fma.f64 x y x)))
(fma.f64 x (-.f64 #s(literal -1 binary64) y) y)
(+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y))
(-.f64 (fma.f64 x (neg.f64 y) x) y)
(-.f64 (-.f64 x (*.f64 x y)) y)
(-.f64 x (fma.f64 x y y))
(fma.f64 y (-.f64 #s(literal -1 binary64) x) x)
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y))
(neg.f64 (+.f64 y (-.f64 (*.f64 x (neg.f64 y)) x)))
(-.f64 (neg.f64 y) (neg.f64 (fma.f64 x y x)))
(-.f64 (fma.f64 x y x) y)
(fma.f64 x y (-.f64 x y))
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(neg.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y)))
(neg.f64 (-.f64 (fma.f64 x (neg.f64 y) x) y))
(-.f64 y (-.f64 x (*.f64 x y)))
(-.f64 (fma.f64 x y y) x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (+.f64 (*.f64 y x) y) x)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
Symmetry

(sort x y)

explain110.0ms (2.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x y)
00-0-x
00-0-(+.f64 (+.f64 (*.f64 x y) x) y)
00-0-(+.f64 (*.f64 x y) x)
00-0-y
Results
28.0ms512×0valid
Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 5.0ms (48.9% of total)
ival-mult: 5.0ms (48.9% 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%)

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

Compiled 17 to 9 computations (47.1% saved)

localize171.0ms (4.4%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (*.f64 x y) x)
cost-diff-6272
(+.f64 (+.f64 (*.f64 x y) x) y)
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 x y x)
cost-diff0
(+.f64 y (fma.f64 x y x))
accuracy100.0%
(+.f64 (+.f64 (*.f64 x y) x) y)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(+.f64 (*.f64 x y) x)
accuracy100.0%
(fma.f64 x y x)
accuracy100.0%
(+.f64 y (fma.f64 x y x))
Rules
48×fma-define
*-commutative
distribute-rgt-in
+-commutative
associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013119
118119
231113
345113
455113
568113
690113
7112113
8119113
9120113
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 y (fma.f64 x y x))
y
(fma.f64 x y x)
x
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (*.f64 x y) x)
(*.f64 x y)
x
y
Outputs
(+.f64 y (fma.f64 x y x))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
y
(fma.f64 x y x)
(fma.f64 y x x)
x
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 y (fma.f64 y x x))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 (*.f64 x y) x)
(fma.f64 x y x)
(fma.f64 y x x)
(*.f64 x y)
(*.f64 y x)
x
y
Results
140.0ms256×0valid
Compiler

Compiled 32 to 8 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 252.0ms
<compiled-spec>: 124.0ms (49.2% of total)
ival-add: 124.0ms (49.2% of total)
ival-mult: 5.0ms (2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (+.f64 y (fma.f64 x y x))>
#<alt (fma.f64 x y x)>
#<alt (+.f64 (*.f64 x y) x)>
#<alt (*.f64 x y)>
#<alt (+.f64 (+.f64 (*.f64 x y) x) y)>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))>
Calls

30 calls:

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

rewrite339.0ms (8.8%)

Algorithm
batch-egg-rewrite
Rules
866×log1p-expm1-u
866×expm1-log1p-u
658×fma-define
346×log-prod
297×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013103
1163103
2235997
Stop Event
node limit
Counts
5 → 325
Calls
Call 1
Inputs
(+.f64 y (fma.f64 x y x))
(fma.f64 x y x)
(+.f64 (*.f64 x y) x)
(*.f64 x y)
(+.f64 (+.f64 (*.f64 x y) x) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (fma.f64 y x x))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 y (fma.f64 y x x))))
(*.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1 binary64)) y))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)))
(*.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 y x x)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x x) y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 y x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (fma.f64 y x x)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y x x) y) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
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(log1p.f64 (expm1.f64 (fma.f64 y x x)))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 y)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 y)) #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (fma.f64 y x x))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 y (fma.f64 y x x))))
(*.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1 binary64)) y))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)))
(*.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 y x x)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x x) y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 y x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (fma.f64 y x x)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y x x) y) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (fma.f64 y x x)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (fma.f64 y x x)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (fma.f64 y x x) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (-.f64 y (fma.f64 y x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (fma.f64 y x x)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 y x x) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (fma.f64 y x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (*.f64 y x) (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (+.f64 y x))) (-.f64 (*.f64 y x) (+.f64 y x)))
(pow.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (fma.f64 y x x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (*.f64 (exp.f64 x) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (*.f64 (exp.f64 x) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 (+.f64 y x))))
(log.f64 (*.f64 (exp.f64 (fma.f64 y x x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 y)) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (exp.f64 (+.f64 y x)) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (exp.f64 (+.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1 binary64)) y)) #s(literal 1 binary64)))
(fma.f64 y x (+.f64 y x))
(fma.f64 y x (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (fma.f64 y x x))
(fma.f64 x y (+.f64 y x))
(fma.f64 x y (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 y x y))
(fma.f64 x (+.f64 #s(literal 1 binary64) y) y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (+.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 y x x) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y (fma.f64 y x x))
(fma.f64 #s(literal 1 binary64) x (fma.f64 y x y))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (+.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) y)
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 y x))
(fma.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x)) y)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (+.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (fma.f64 y x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (fma.f64 y x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)) y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (+.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 y x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (+.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 y x x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (+.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) y)
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) y)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x)) (*.f64 y x))
(fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) (*.f64 y x))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (+.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 y x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (+.f64 y x) #s(literal 1 binary64)))

simplify165.0ms (4.3%)

Algorithm
egg-herbie
Rules
449×cancel-sign-sub-inv
421×associate-/l*
358×fmm-def
321×associate-/r*
276×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039114386
189313422
2256112984
Stop Event
node limit
Counts
421 → 234
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
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(fma.f64 #s(literal 1 binary64) (*.f64 y x) (+.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) y)
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 y x))
(fma.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x)) y)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (+.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (fma.f64 y x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (fma.f64 y x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)) y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (+.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 y x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (+.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 y x x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (+.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) y)
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) y)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x)) (*.f64 y x))
(fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) (*.f64 y x))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (+.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 y x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
Outputs
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (fma.f64 x y y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (fma.f64 x y y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (fma.f64 x y y) (neg.f64 x))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
x
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
x
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
y
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (fma.f64 x y y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (fma.f64 x y y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (fma.f64 x y y) (neg.f64 x))
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
(*.f64 y (+.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x y)))
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(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (fma.f64 y x y))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (fma.f64 y x y))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (+.f64 y x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (fma.f64 y x x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (fma.f64 y x x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (+.f64 y x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)) y)
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (+.f64 y x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 y x y))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (+.f64 y x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 y x x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (+.f64 y x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) y)
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) y)
(+.f64 y (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) y))))))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) y)
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(+.f64 y (/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x)) (*.f64 y x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) (*.f64 y x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (+.f64 y x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 y x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 y x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 y x))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (+.f64 y x) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)

eval27.0ms (0.7%)

Compiler

Compiled 3093 to 596 computations (80.7% saved)

prune46.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2295234
Fresh000
Picked112
Done000
Total2306236
Accuracy
100.0%
Counts
236 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 (*.f64 x y) x) y)
90.1%
(+.f64 y (*.f64 y (+.f64 x (/.f64 x y))))
66.2%
(+.f64 y (*.f64 x y))
65.4%
(*.f64 x (+.f64 #s(literal 1 binary64) y))
36.3%
y
36.1%
x
Compiler

Compiled 71 to 43 computations (39.4% saved)

localize200.0ms (5.2%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 y (*.f64 x y))
cost-diff0
(*.f64 x y)
cost-diff-6272
(*.f64 x (+.f64 #s(literal 1 binary64) y))
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff-6144
(*.f64 y (+.f64 x (/.f64 x y)))
cost-diff-6144
(+.f64 y (*.f64 y (+.f64 x (/.f64 x y))))
cost-diff0
(/.f64 x y)
cost-diff0
(+.f64 x (/.f64 x y))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(+.f64 y (*.f64 x y))
accuracy100.0%
(+.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) y))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(+.f64 y (*.f64 y (+.f64 x (/.f64 x y))))
accuracy100.0%
(+.f64 x (/.f64 x y))
accuracy90.1%
(*.f64 y (+.f64 x (/.f64 x y)))
Rules
1395×fma-define
847×cube-prod
542×associate-/r/
461×swap-sqr
435×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016212
141207
267207
3117169
4195169
5349169
6766169
71946169
83157169
94090169
105799169
116307169
127301169
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 y (*.f64 y (+.f64 x (/.f64 x y))))
y
(*.f64 y (+.f64 x (/.f64 x y)))
(+.f64 x (/.f64 x y))
x
(/.f64 x y)
x
y
(*.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 y (*.f64 x y))
y
(*.f64 x y)
x
Outputs
(+.f64 y (*.f64 y (+.f64 x (/.f64 x y))))
(fma.f64 y (+.f64 x (/.f64 x y)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
y
(*.f64 y (+.f64 x (/.f64 x y)))
(fma.f64 y x x)
(+.f64 x (/.f64 x y))
x
(/.f64 x y)
x
y
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 x (/.f64 x y)))
(fma.f64 y x x)
x
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
y
(+.f64 y (*.f64 x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(fma.f64 y x y)
y
(*.f64 x y)
(*.f64 y x)
x
Results
35.0ms256×0valid
Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 5.0ms (34.5% of total)
ival-mult: 5.0ms (34.5% of total)
ival-div: 4.0ms (27.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.3%)

Counts
7 → 105
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (+.f64 x (/.f64 x y))>
#<alt (+.f64 y (*.f64 y (+.f64 x (/.f64 x y))))>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 y (*.f64 x y))>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 x y)) y)>
#<alt (/.f64 (+.f64 x (*.f64 x y)) y)>
#<alt (/.f64 (+.f64 x (*.f64 x y)) y)>
#<alt x>
#<alt x>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 y (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 y (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 y x)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt x>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt #s(literal 1 binary64)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))>
#<alt y>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
Calls

39 calls:

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

rewrite175.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
987×log1p-expm1-u
987×expm1-log1p-u
422×fmm-def
125×add-cube-cbrt
123×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016154
1267149
24250149
Stop Event
node limit
Counts
7 → 239
Calls
Call 1
Inputs
(*.f64 y (+.f64 x (/.f64 x y)))
(+.f64 x (/.f64 x y))
(+.f64 y (*.f64 y (+.f64 x (/.f64 x y))))
(/.f64 x y)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y (*.f64 x y))
Outputs
(+.f64 (*.f64 y x) (*.f64 y (/.f64 x y)))
(+.f64 (*.f64 y x) (*.f64 (*.f64 y (/.f64 x y)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (/.f64 x y)) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x (/.f64 x y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y))) (*.f64 (*.f64 y x) (*.f64 y (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y)))) (-.f64 (*.f64 y x) (*.f64 y (/.f64 x y))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) x))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 x (/.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) (-.f64 x (/.f64 x y)))
(pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x (/.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x (/.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x (/.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x (/.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x (/.f64 x y)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x (/.f64 x y)))) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y (/.f64 x y)))
(fma.f64 x y (*.f64 y (/.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y (/.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 x y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 x (/.f64 x y))))
(*.f64 (+.f64 x (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (/.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 x y))) (sqrt.f64 (+.f64 x (/.f64 x y))))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) x))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 x y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 x (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 x y) x))
(pow.f64 (+.f64 x (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (/.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 x y))))
(exp.f64 (log.f64 (+.f64 x (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 x y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))) (/.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x (/.f64 x y)) y))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y)) (sqrt.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y (+.f64 x (/.f64 x y))) (fma.f64 y (+.f64 x (/.f64 x y)) (neg.f64 y))))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))))
(*.f64 (+.f64 (+.f64 x (/.f64 x y)) #s(literal 1 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y (+.f64 x (/.f64 x y))) (fma.f64 y (+.f64 x (/.f64 x y)) (neg.f64 y)))) (+.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y (+.f64 x (/.f64 x y))) (fma.f64 y (+.f64 x (/.f64 x y)) (neg.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y (+.f64 x (/.f64 x y))) (fma.f64 y (+.f64 x (/.f64 x y)) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 x (/.f64 x y))) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 y (+.f64 x (/.f64 x y)) (neg.f64 y)))
(pow.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x (/.f64 x y)) y)) #s(literal 1 binary64)))
(fma.f64 y (+.f64 x (/.f64 x y)) y)
(fma.f64 (+.f64 x (/.f64 x y)) y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y (+.f64 x (/.f64 x y))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (/.f64 x y))) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x (/.f64 x y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 x (/.f64 x y)))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (+.f64 x (/.f64 x y))))
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 x (/.f64 x y)))) (sqrt.f64 (*.f64 y (+.f64 x (/.f64 x y)))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (+.f64 x (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 y x) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 x (*.f64 y x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) y))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) y))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 y))
(exp.f64 (*.f64 (log1p.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(*.f64 (fma.f64 y x y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) y))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 y x) y))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x y))))
(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y x y)
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))

simplify270.0ms (7%)

Algorithm
egg-herbie
Rules
729×fmm-def
461×distribute-lft-neg-in
439×distribute-rgt-neg-in
247×associate-*r*
211×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052910660
111959215
240819183
Stop Event
node limit
Counts
344 → 308
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 x y)) y)
(/.f64 (+.f64 x (*.f64 x y)) y)
(/.f64 (+.f64 x (*.f64 x y)) y)
x
x
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 y x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
x
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(literal 1 binary64)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) y))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 y))
(exp.f64 (*.f64 (log1p.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(*.f64 (fma.f64 y x y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) y))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 y x) y))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x y))))
(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y x y)
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
Outputs
x
(+.f64 x (*.f64 x y))
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x y)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 x y)) y)
(/.f64 (fma.f64 y x x) y)
(/.f64 (fma.f64 x y x) y)
(/.f64 (+.f64 x (*.f64 x y)) y)
(/.f64 (fma.f64 y x x) y)
(/.f64 (fma.f64 x y x) y)
(/.f64 (+.f64 x (*.f64 x y)) y)
(/.f64 (fma.f64 y x x) y)
(/.f64 (fma.f64 x y x) y)
x
x
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
y
(+.f64 y (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(+.f64 y (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(+.f64 y (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 y x)))
(*.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 y x)))
(*.f64 x (+.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 y x)))
(*.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 y x)))
(*.f64 x (+.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 y x)))
(*.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 y x)))
(*.f64 x (+.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 y x)))
(*.f64 x (+.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 y x)))
(*.f64 x (+.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 y x)))
(*.f64 x (+.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y x))))
x
(+.f64 x (*.f64 x y))
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 y (+.f64 x (/.f64 x y)))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 y (+.f64 x (/.f64 x y)))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y x x)
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y x x)
(fma.f64 x y x)
#s(literal 1 binary64)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
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(expm1.f64 (log1p.f64 (fma.f64 x y y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 y x y)
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 x y y)
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)

eval49.0ms (1.3%)

Compiler

Compiled 4343 to 981 computations (77.4% saved)

prune42.0ms (1.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3243327
Fresh000
Picked145
Done101
Total3267333
Accuracy
100.0%
Counts
333 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.4%
(+.f64 (*.f64 y x) x)
66.2%
(+.f64 y (*.f64 x y))
69.7%
(+.f64 y x)
55.4%
(*.f64 y (+.f64 x (/.f64 x y)))
65.4%
(*.f64 x (+.f64 #s(literal 1 binary64) y))
36.3%
y
36.1%
x
Compiler

Compiled 41 to 25 computations (39% saved)

localize228.0ms (5.9%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (*.f64 y x) x)
cost-diff0
(*.f64 y x)
cost-diff0
(+.f64 y x)
cost-diff-6144
(*.f64 y (+.f64 x (/.f64 x y)))
cost-diff0
(/.f64 x y)
cost-diff0
(+.f64 x (/.f64 x y))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(+.f64 (*.f64 y x) x)
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(+.f64 x (/.f64 x y))
accuracy90.1%
(*.f64 y (+.f64 x (/.f64 x y)))
Rules
1669×fma-define
897×cube-prod
436×cube-div
429×associate-/r*
388×pow-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
013147
128147
244147
354121
461121
5113121
6279121
71260121
82478121
93753121
104322121
115191121
125647121
136281121
147099121
157519121
167786121
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 y (+.f64 x (/.f64 x y)))
y
(+.f64 x (/.f64 x y))
x
(/.f64 x y)
(+.f64 y x)
y
x
(+.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
Outputs
(*.f64 y (+.f64 x (/.f64 x y)))
(fma.f64 y x x)
y
(+.f64 x (/.f64 x y))
x
(/.f64 x y)
(+.f64 y x)
y
x
(+.f64 (*.f64 y x) x)
(*.f64 y (+.f64 x (/.f64 x y)))
(fma.f64 y x x)
(*.f64 y x)
y
x
Results
27.0ms256×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (35% of total)
ival-add: 4.0ms (35% of total)
ival-mult: 4.0ms (35% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0.1%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (+.f64 y x)>
#<alt (+.f64 (*.f64 y x) x)>
#<alt (*.f64 y x)>
Outputs
#<alt x>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
Calls

18 calls:

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

rewrite106.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
699×log1p-expm1-u
699×expm1-log1p-u
587×unpow-prod-down
466×fma-define
321×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
112844
2191244
Stop Event
node limit
Counts
3 → 174
Calls
Call 1
Inputs
(+.f64 y x)
(+.f64 (*.f64 y x) x)
(*.f64 y x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(*.f64 (+.f64 y x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 y x))) (cbrt.f64 (cbrt.f64 (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 y x))
(*.f64 (pow.f64 (*.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y x))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 y x)))
(exp.f64 (log.f64 (+.f64 y x)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 (fma.f64 y x x) #s(literal 1 binary64))
(*.f64 (fma.f64 y x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y x x))
(*.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) (cbrt.f64 (cbrt.f64 (fma.f64 y x x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y x x)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y x x) (sqrt.f64 (fma.f64 y x x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 y x x) (sqrt.f64 (fma.f64 y x x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y x x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 x (*.f64 y x)))
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(log1p.f64 (expm1.f64 (fma.f64 y x x)))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)))
(fma.f64 y x x)
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))

simplify107.0ms (2.8%)

Algorithm
egg-herbie
Rules
736×fma-define
468×distribute-lft-in
449×distribute-rgt-in
275×unswap-sqr
250×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04306200
19276095
224825959
Stop Event
node limit
Counts
246 → 223
Calls
Call 1
Inputs
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
y
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(*.f64 (+.f64 y x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 y x))) (cbrt.f64 (cbrt.f64 (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 y x))
(*.f64 (pow.f64 (*.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 y x) (sqrt.f64 (+.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y x))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 y x)))
(exp.f64 (log.f64 (+.f64 y x)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 (fma.f64 y x x) #s(literal 1 binary64))
(*.f64 (fma.f64 y x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y x x))
(*.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) (cbrt.f64 (cbrt.f64 (fma.f64 y x x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y x x)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y x x) (sqrt.f64 (fma.f64 y x x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 y x x) (sqrt.f64 (fma.f64 y x x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y x x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 x (*.f64 y x)))
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(log1p.f64 (expm1.f64 (fma.f64 y x x)))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)))
(fma.f64 y x x)
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
Outputs
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 y (/.f64 x y) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 y (/.f64 x y) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 y (/.f64 x y) y)
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
y
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 x (/.f64 y x) x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
x
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
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(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 x y)

eval45.0ms (1.2%)

Compiler

Compiled 4156 to 911 computations (78.1% saved)

prune46.0ms (1.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New3461347
Fresh000
Picked033
Done044
Total3468354
Accuracy
100.0%
Counts
354 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.4%
(+.f64 (*.f64 y x) x)
66.2%
(+.f64 y (*.f64 x y))
69.7%
(+.f64 y x)
55.4%
(*.f64 y (+.f64 x (/.f64 x y)))
65.4%
(*.f64 x (+.f64 #s(literal 1 binary64) y))
31.9%
(*.f64 x y)
36.3%
y
36.1%
x
Compiler

Compiled 46 to 28 computations (39.1% saved)

localize20.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
1921
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x y)
x
y
Outputs
(*.f64 x y)
x
y
Results
11.0ms256×0valid
Compiler

Compiled 8 to 4 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (78.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval2.0ms (0.1%)

Compiler

Compiled 151 to 53 computations (64.9% saved)

prune7.0ms (0.2%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New19019
Fresh000
Picked011
Done077
Total19827
Accuracy
100.0%
Counts
27 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.4%
(+.f64 (*.f64 y x) x)
66.2%
(+.f64 y (*.f64 x y))
69.7%
(+.f64 y x)
55.4%
(*.f64 y (+.f64 x (/.f64 x y)))
65.4%
(*.f64 x (+.f64 #s(literal 1 binary64) y))
31.9%
(*.f64 x y)
36.3%
y
36.1%
x
Compiler

Compiled 100 to 46 computations (54% saved)

regimes13.0ms (0.3%)

Counts
11 → 1
Calls
Call 1
Inputs
x
y
(*.f64 x y)
(+.f64 y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(+.f64 y (*.f64 x y))
(+.f64 (*.f64 y x) x)
(*.f64 y (+.f64 x (/.f64 x y)))
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (*.f64 y (+.f64 x (/.f64 x y))))
(+.f64 y (fma.f64 x y x))
Outputs
(+.f64 y (fma.f64 x y x))
Calls

3 calls:

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

Compiled 15 to 9 computations (40% saved)

regimes12.0ms (0.3%)

Counts
10 → 1
Calls
Call 1
Inputs
x
y
(*.f64 x y)
(+.f64 y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(+.f64 y (*.f64 x y))
(+.f64 (*.f64 y x) x)
(*.f64 y (+.f64 x (/.f64 x y)))
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (*.f64 y (+.f64 x (/.f64 x y))))
Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
Calls

3 calls:

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

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0.2%)

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

2 calls:

5.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
99.7%3x
99.2%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

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

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
82.2%3y
99.0%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
x
y
(*.f64 x y)
(+.f64 y x)
Outputs
(*.f64 x y)
(+.f64 y x)
(*.f64 x y)
Calls

2 calls:

3.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
81.8%3y
78.9%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
3 → 4
Calls
Call 1
Inputs
x
y
(*.f64 x y)
Outputs
(*.f64 x y)
x
y
(*.f64 x y)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
71.8%4x
69.8%4y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts
2 → 2
Calls
Call 1
Inputs
x
y
Outputs
x
y
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
57.5%2y
62.9%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (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
1.0ms
x
Results
AccuracySegmentsBranch
36.1%1y
36.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch14.0ms (0.4%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
4.0ms
1.2132129235948801e-151
3.592741298513921e-144
10.0ms
-4146869754155.5337
-1101518334.166019
Results
8.0ms176×0valid
Compiler

Compiled 168 to 116 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 2.0ms (59.7% of total)
ival-mult: 2.0ms (59.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch62.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.0531008822030878e-8
24.856680093411033
50.0ms
-4146869754155.5337
-1101518334.166019
Results
52.0ms272×0valid
Compiler

Compiled 252 to 179 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 42.0ms (93% of total)
ival-add: 3.0ms (6.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch68.0ms (1.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.8152657853123696e+137
1.9391290555976697e+143
54.0ms
-63607823.495979875
-1.1184432581789218e-8
Results
57.0ms304×0valid
Compiler

Compiled 242 to 161 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 45.0ms (93.5% of total)
ival-add: 3.0ms (6.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.0531008822030878e-8
24.856680093411033
10.0ms
-1.104744372406942e-94
-3.35257989342735e-98
10.0ms
-7.251173801934976e+123
-2.1858243452502882e+120
Results
18.0ms400×0valid
Compiler

Compiled 248 to 176 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 4.0ms (48.2% of total)
ival-mult: 4.0ms (48.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch10.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-1.104744372406942e-94
-3.35257989342735e-98
Results
6.0ms128×0valid
Compiler

Compiled 78 to 57 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (40.8% of total)
ival-mult: 1.0ms (40.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
if-if-or-not
1-exp
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046350
168350
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 y (fma.f64 x y x))
(+.f64 (+.f64 (*.f64 x y) x) y)
(if (<=.f64 x #s(literal -1150000000 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal 5623642243178995/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (+.f64 y x) (+.f64 y (*.f64 x y))))
(if (<=.f64 x #s(literal -1150000000 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 y x) (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -49000000 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 89999999999999998989404811286951753397339282775738813625680110577599914912998147952525370988627392190420192792297310116531092006938884440064 binary64)) (+.f64 y x) (*.f64 x y)))
(if (<=.f64 x #s(literal -2800000000000000058684642172207338889213699305215970890756464731540218947836242400647554222228219234814300666013300031488 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal -8266869891363893/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (*.f64 x y))))
(if (<=.f64 x #s(literal -8537421996899439/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) x y)
x
Outputs
(+.f64 y (fma.f64 x y x))
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (+.f64 x (*.f64 y x)))
(if (<=.f64 x #s(literal -1150000000 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal 5623642243178995/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (+.f64 y x) (+.f64 y (*.f64 x y))))
(if (<=.f64 x #s(literal -1150000000 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5623642243178995/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (+.f64 y x) (+.f64 y (*.f64 y x))))
(if (<=.f64 x #s(literal -1150000000 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 y x) (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(if (or (<=.f64 x #s(literal -1150000000 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (*.f64 x (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(if (<=.f64 y #s(literal -49000000 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 89999999999999998989404811286951753397339282775738813625680110577599914912998147952525370988627392190420192792297310116531092006938884440064 binary64)) (+.f64 y x) (*.f64 x y)))
(if (or (<=.f64 y #s(literal -49000000 binary64)) (not (<=.f64 y #s(literal 89999999999999998989404811286951753397339282775738813625680110577599914912998147952525370988627392190420192792297310116531092006938884440064 binary64)))) (*.f64 y x) (+.f64 y x))
(if (<=.f64 x #s(literal -2800000000000000058684642172207338889213699305215970890756464731540218947836242400647554222228219234814300666013300031488 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal -8266869891363893/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (*.f64 x y))))
(if (<=.f64 x #s(literal -2800000000000000058684642172207338889213699305215970890756464731540218947836242400647554222228219234814300666013300031488 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal -8266869891363893/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (*.f64 y x))))
(if (<=.f64 x #s(literal -8537421996899439/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) x y)
x

soundness258.0ms (6.7%)

Rules
987×log1p-expm1-u
987×expm1-log1p-u
564×fmm-def
422×fmm-def
418×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016154
1267149
24250149
024221
170209
2201177
3660171
41492168
52133168
62246168
72250168
Stop Event
done
saturated
node limit
Compiler

Compiled 141 to 58 computations (58.9% saved)

preprocess59.0ms (1.5%)

Compiler

Compiled 272 to 120 computations (55.9% saved)

end0.0ms (0%)

Profiling

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