Examples.Basics.ProofTests:f4 from sbv-4.4

Time bar (total: 5.8s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 16 to 10 computations (37.5% 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)

sample880.0ms (15.3%)

Results
584.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 358.0ms
ival-mult: 262.0ms (73.2% of total)
ival-add: 83.0ms (23.2% of total)
const: 11.0ms (3.1% of total)
backward-pass: 2.0ms (0.6% of total)
Bogosity

preprocess110.0ms (1.9%)

Algorithm
egg-herbie
Rules
872×fma-neg
639×fma-define
116×unsub-neg
96×distribute-lft-neg-in
70×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032397
197302
2304274
3877274
41927274
52867274
63063274
73069274
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y)))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y)) (*.f64 y y)))
(neg.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))))
(+.f64 (+.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 x x))
Outputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 y y)))
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal -2 binary64)) y)))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal -2 binary64) y)))
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y)))
(+.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 y y)))
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal -2 binary64)) y)))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal -2 binary64) y)))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y)) (*.f64 y y)))
(neg.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 y y))))
(neg.f64 (fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal -2 binary64)) y))))
(neg.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal -2 binary64) y))))
(neg.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 y y))))
(neg.f64 (fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal -2 binary64)) y))))
(neg.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal -2 binary64) y))))
(+.f64 (+.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
Symmetry

(sort x y)

explain220.0ms (3.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
120-0-(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
50-0-(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
00-0-x
00-0-(*.f64 y y)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-(*.f64 x x)
00-0-(*.f64 x #s(literal 2 binary64))
Results
50.0ms512×0valid
Compiler

Compiled 99 to 29 computations (70.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 15.0ms (61% of total)
ival-add: 9.0ms (36.6% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 33 to 15 computations (54.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
94.5%
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
018231
131226
256222
385222
486222
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 x x)
x
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
y
(*.f64 y y)
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
x
(*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y))
y
(+.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(fma.f64 x x (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(*.f64 x x)
x
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
y
(*.f64 y y)
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
x
(*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
y
(+.f64 (*.f64 x #s(literal 2 binary64)) y)
(fma.f64 x #s(literal 2 binary64) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize136.0ms (2.4%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 x #s(literal 2 binary64)) y)
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
accuracy100.0%
(*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y))
accuracy96.5%
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
accuracy98.4%
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
accuracy96.0%
(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
113.0ms256×0valid
Compiler

Compiled 70 to 13 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (57.3% of total)
ival-add: 4.0ms (25.4% of total)
ival-fma: 3.0ms (19.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.3%)

Counts
9 → 180
Calls
Call 1
Inputs
#<alt (*.f64 x x)>
#<alt (*.f64 (*.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (*.f64 y y)>
#<alt (fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 x #s(literal 2 binary64)) y)>
#<alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))>
Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))>
Calls

45 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x 2)
1.0ms
x
@0
(* (* x 2) y)
1.0ms
y
@inf
(* (* x 2) y)
1.0ms
x
@-inf
(* (* x 2) y)
1.0ms
x
@inf
(* (* x 2) y)

rewrite510.0ms (8.9%)

Algorithm
batch-egg-rewrite
Rules
806×log1p-expm1-u
806×expm1-log1p-u
614×log-prod
430×fma-neg
204×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018197
1263192
23649192
Stop Event
node limit
Counts
9 → 301
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
(*.f64 y y)
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 (*.f64 x #s(literal 2 binary64)) y)
(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)))
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))
(+.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(+.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))) (cbrt.f64 (exp.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(*.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (hypot.f64 x (sqrt.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) (sqrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))))
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(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))
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(pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))))
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(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
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(*.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(*.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (hypot.f64 x (sqrt.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
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(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
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(pow.f64 (pow.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
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(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
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(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) (sqrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) (pow.f64 y #s(literal 2 binary64)))

simplify318.0ms (5.5%)

Algorithm
egg-herbie
Rules
644×fma-neg
368×distribute-lft-neg-in
334×distribute-rgt-neg-in
271×distribute-rgt-in
251×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059516505
1132416168
2425115903
Stop Event
node limit
Counts
481 → 353
Calls
Call 1
Inputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
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(log1p.f64 (expm1.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(exp.f64 (log.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 1 binary64)))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 y y (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) (sqrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) (pow.f64 y #s(literal 2 binary64)))
Outputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal 2 binary64) (/.f64 y x)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal 2 binary64) (/.f64 y x)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 2 binary64) (/.f64 x y)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 2 binary64) (/.f64 x y)))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -2 binary64) (/.f64 x y))) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -2 binary64) (/.f64 x y))) y)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
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(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) (-.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 3 binary64))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(expm1.f64 (log1p.f64 (fma.f64 y (fma.f64 x #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) (sqrt.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))

eval205.0ms (3.6%)

Compiler

Compiled 6527 to 1263 computations (80.6% saved)

prune319.0ms (5.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3722374
Fresh000
Picked022
Done000
Total3724376
Accuracy
100.0%
Counts
376 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
98.7%
(fma.f64 x x (*.f64 y y))
94.5%
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
98.0%
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
Compiler

Compiled 48 to 28 computations (41.7% saved)

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 x x (*.f64 y y))
cost-diff-6272
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
cost-diff-6272
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 #s(literal 2 binary64) y)
Rules
31×fma-define
*-commutative
+-commutative
associate-+r+
associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015157
127157
249157
377157
488157
591157
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x))
x
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(*.f64 y y)
(fma.f64 x x (*.f64 y y))
x
(*.f64 y y)
y
Outputs
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) (*.f64 x x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
x
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(fma.f64 #s(literal 2 binary64) y x)
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(*.f64 y y)
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
x
(*.f64 y y)
y

localize45.0ms (0.8%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(fma.f64 x x (*.f64 y y))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) y)
accuracy100.0%
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x))
accuracy98.4%
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
Results
25.0ms256×0valid
Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (44.7% of total)
ival-add: 3.0ms (26.8% of total)
ival-fma: 3.0ms (26.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) x)>
#<alt (fma.f64 x x (*.f64 y y))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) y))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) y))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* x (+ (* 2 y) x))
1.0ms
x
@inf
(* x (+ (* 2 y) x))
0.0ms
x
@0
(* x (+ (* 2 y) x))
0.0ms
y
@inf
(* x (+ (* 2 y) x))
0.0ms
y
@-inf
(* x (+ (* 2 y) x))

rewrite132.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
982×log1p-expm1-u
982×expm1-log1p-u
572×fma-define
470×log-prod
267×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015108
1192103
22752103
Stop Event
node limit
Counts
5 → 230
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x))
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(fma.f64 x x (*.f64 y y))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
Outputs
(+.f64 y y)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) y))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 y x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) x) (-.f64 (*.f64 #s(literal 2 binary64) y) x))
(pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y x)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y x)))
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(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 y y (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y x)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x)) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (sqrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 x)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))

simplify386.0ms (6.7%)

Algorithm
egg-herbie
Rules
514×cancel-sign-sub-inv
408×fma-neg
299×associate-+r+
272×distribute-lft-neg-in
268×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052810851
1121010498
2352610282
Stop Event
node limit
Counts
326 → 304
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
x
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) y)
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(+.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(+.f64 y y)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) y))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) y)))
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(*.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (hypot.f64 y (sqrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(pow.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (exp.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 y y (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y x)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x)) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (sqrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 x)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (fma.f64 #s(literal 2 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (fma.f64 #s(literal 2 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (fma.f64 #s(literal 2 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 x y))))
x
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y x)
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y x)
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y x)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -2 binary64))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -2 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -2 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))
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(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 x)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (pow.f64 y #s(literal 2 binary64)))

eval41.0ms (0.7%)

Compiler

Compiled 5366 to 986 computations (81.6% saved)

prune60.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3373340
Fresh000
Picked112
Done022
Total3386344
Accuracy
100.0%
Counts
344 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
94.5%
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
98.0%
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
53.0%
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))
98.7%
(+.f64 (*.f64 x x) (*.f64 y y))
54.9%
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
Compiler

Compiled 69 to 42 computations (39.1% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff-6144
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
(*.f64 x (*.f64 #s(literal 2 binary64) y))
cost-diff-6272
(+.f64 (*.f64 x x) (*.f64 y y))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff-6272
(+.f64 y (*.f64 #s(literal 2 binary64) x))
cost-diff-6272
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
Rules
14×fma-define
*-commutative
associate-*r*
+-commutative
distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017206
132194
246194
351194
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
y
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(*.f64 y y)
Outputs
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
y
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
x
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
y
(*.f64 y y)

localize57.0ms (1%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x (*.f64 #s(literal 2 binary64) y))
accuracy100.0%
(*.f64 #s(literal 2 binary64) y)
accuracy97.6%
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
accuracy100.0%
(+.f64 y (*.f64 #s(literal 2 binary64) x))
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy100.0%
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
Results
36.0ms256×0valid
Compiler

Compiled 59 to 13 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 10.0ms (69.3% of total)
ival-add: 4.0ms (27.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
6 → 111
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 (*.f64 x x) (*.f64 y y))>
#<alt (*.f64 x (*.f64 #s(literal 2 binary64) y))>
#<alt (+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
Calls

33 calls:

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

rewrite195.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
801×fma-define
766×log1p-expm1-u
766×expm1-log1p-u
358×fma-neg
202×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017128
1263111
23595111
Stop Event
node limit
Counts
6 → 274
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(cbrt.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 (*.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x y)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal 2 binary64) x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x y)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x y)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) y))
(pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) x y))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) x y)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x y)))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 x #s(literal 2 binary64) y)
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 2 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) y)
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(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))

simplify259.0ms (4.5%)

Algorithm
egg-herbie
Rules
498×associate-/l*
393×cancel-sign-sub-inv
375×distribute-rgt-in
368×distribute-lft-in
323×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044912257
198011849
2271611731
Stop Event
node limit
Counts
385 → 260
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 #s(literal 2 binary64) x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
y
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(cbrt.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 (*.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x y)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 x y)))
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(*.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x y)) y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))) (sqrt.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x y)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x y)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y))))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x y)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (*.f64 y (sqrt.f64 (fma.f64 #s(literal 2 binary64) x y))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 (*.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x y)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
y
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -2 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -2 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 y x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -2 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -2 binary64)) (neg.f64 x))
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(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 x (cbrt.f64 (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))

eval99.0ms (1.7%)

Compiler

Compiled 4207 to 826 computations (80.4% saved)

prune42.0ms (0.7%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New3313334
Fresh000
Picked123
Done033
Total3328340
Accuracy
100.0%
Counts
340 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
94.5%
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
98.0%
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
98.7%
(+.f64 (*.f64 x x) (*.f64 y y))
54.9%
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
16.8%
(*.f64 y (*.f64 #s(literal 2 binary64) x))
54.1%
(*.f64 y y)
49.0%
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
Compiler

Compiled 81 to 50 computations (38.3% saved)

simplify152.0ms (2.6%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 y (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 y y)
cost-diff-6144
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
cost-diff0
(/.f64 y x)
cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 y x))
cost-diff0
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
Rules
1888×fma-define
824×associate-/r*
686×times-frac
501×associate-/l/
278×*-commutative
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
015161
129161
272161
3122161
4137154
5142148
6165148
7285148
8683148
92822148
103553148
114287148
124486148
134647148
145102148
156920148
167087148
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
x
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
y
(+.f64 #s(literal 2 binary64) (/.f64 y x))
#s(literal 2 binary64)
(/.f64 y x)
(*.f64 y y)
y
(*.f64 y (*.f64 #s(literal 2 binary64) x))
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (*.f64 x y) (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) (*.f64 y #s(literal 1 binary64))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
x
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
y
(+.f64 #s(literal 2 binary64) (/.f64 y x))
#s(literal 2 binary64)
(/.f64 y x)
(*.f64 y y)
y
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
y
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x

localize41.0ms (0.7%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y (*.f64 #s(literal 2 binary64) x))
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(+.f64 #s(literal 2 binary64) (/.f64 y x))
accuracy99.9%
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
accuracy94.1%
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
Results
29.0ms256×0valid
Compiler

Compiled 45 to 11 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (63.5% of total)
ival-div: 2.0ms (15.9% of total)
ival-add: 1.0ms (7.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series16.0ms (0.3%)

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

30 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
(* x (* y (+ 2 (/ y x))))
1.0ms
y
@-inf
(* y (+ 2 (/ y x)))
1.0ms
y
@0
(* y (+ 2 (/ y x)))
0.0ms
y
@inf
(* y (+ 2 (/ y x)))
0.0ms
x
@-inf
(* x (* y (+ 2 (/ y x))))

rewrite140.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
607×log1p-expm1-u
607×expm1-log1p-u
581×log-prod
259×fma-define
247×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014116
1195116
22790116
Stop Event
node limit
Counts
5 → 295
Calls
Call 1
Inputs
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 #s(literal 2 binary64) (/.f64 y x))
(/.f64 y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
Outputs
(+.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) (*.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(+.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 2 binary64) (/.f64 y x)))) (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 2 binary64) (/.f64 y x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 2 binary64) (/.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 2 binary64) (/.f64 y x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 2 binary64) (/.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) (-.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 y x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64)) y) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) y) (-.f64 #s(literal 2 binary64) (/.f64 y x)))
(pow.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (exp.f64 (*.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 3 binary64)))
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(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) x)))) #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (/.f64 y x) (*.f64 y x) (*.f64 y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) x)) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) y) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) y) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) y) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) y) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) y) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) y) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) y) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) y) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 y #s(literal 2 binary64)) x (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 y #s(literal 2 binary64)) x (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 y #s(literal 2 binary64)) x (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 y #s(literal 2 binary64)) x (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 y x) (/.f64 y x) (*.f64 y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) x (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) x (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) x (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 y x) (*.f64 y x)))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))

simplify166.0ms (2.9%)

Algorithm
egg-herbie
Rules
694×times-frac
600×distribute-lft-in
253×associate-*r*
250×associate-*l*
231×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058211870
1124811248
233279841
Stop Event
node limit
Counts
379 → 359
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) y)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 #s(literal 2 binary64) y)
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 #s(literal 2 binary64) y)
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
#s(literal 2 binary64)
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 y x)
(/.f64 (+.f64 y (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (+.f64 y (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (+.f64 y (*.f64 #s(literal 2 binary64) x)) x)
#s(literal 2 binary64)
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
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(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(+.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
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(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) y) (-.f64 #s(literal 2 binary64) (/.f64 y x)))
(pow.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (exp.f64 (*.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))) #s(literal 2 binary64)))
(fma.f64 y #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 y (/.f64 y x) (*.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (/.f64 y x) y (*.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y x)) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 y x)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 y x)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
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(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (/.f64 y x) (*.f64 y x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y x) (/.f64 y x)))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 y x) (*.f64 y x)))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) y)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) x)
(*.f64 y (/.f64 (fma.f64 #s(literal 2 binary64) x y) x))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) x)
(*.f64 y (/.f64 (fma.f64 #s(literal 2 binary64) x y) x))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) x)
(*.f64 y (/.f64 (fma.f64 #s(literal 2 binary64) x y) x))
(*.f64 #s(literal 2 binary64) y)
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 #s(literal 2 binary64) y)
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
#s(literal 2 binary64)
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(+.f64 #s(literal 2 binary64) (/.f64 y x))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(+.f64 #s(literal 2 binary64) (/.f64 y x))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(+.f64 #s(literal 2 binary64) (/.f64 y x))
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(+.f64 #s(literal 2 binary64) (/.f64 y x))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(+.f64 #s(literal 2 binary64) (/.f64 y x))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(+.f64 #s(literal 2 binary64) (/.f64 y x))
(/.f64 y x)
(/.f64 (+.f64 y (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) x y) x)
(/.f64 (+.f64 y (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) x y) x)
(/.f64 (+.f64 y (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) x y) x)
#s(literal 2 binary64)
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
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(*.f64 #s(literal 2 binary64) (*.f64 y x))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))))
(pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 y x))

eval52.0ms (0.9%)

Compiler

Compiled 5613 to 1107 computations (80.3% saved)

prune158.0ms (2.7%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New3920392
Fresh000
Picked033
Done055
Total3928400
Accuracy
100.0%
Counts
400 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(fma.f64 x x (*.f64 y (+.f64 (*.f64 x #s(literal 2 binary64)) y)))
94.5%
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
98.0%
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
98.7%
(+.f64 (*.f64 x x) (*.f64 y y))
54.9%
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
16.8%
(*.f64 y (*.f64 #s(literal 2 binary64) x))
54.1%
(*.f64 y y)
49.0%
(*.f64 x (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
Compiler

Compiled 163 to 78 computations (52.1% saved)

regimes15.0ms (0.3%)

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

3 calls:

7.0ms
x
4.0ms
y
4.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1y
98.7%1(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes4.0ms (0.1%)

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

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
54.9%1x
54.9%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

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

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
54.1%1x
55.9%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
y
Results
AccuracySegmentsBranch
54.1%1y
Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch18.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-8.773468769979119e-307
7.920062990686627e-308
Results
13.0ms128×0valid
Compiler

Compiled 132 to 93 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 8.0ms (86.2% of total)
ival-add: 1.0ms (10.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
021116
126116
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(if (<=.f64 y #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(*.f64 y y)
Outputs
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (+.f64 y (*.f64 x #s(literal 2 binary64))))
(if (<=.f64 y #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(if (<=.f64 y #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 y y))
(*.f64 y y)

soundness806.0ms (14%)

Rules
806×log1p-expm1-u
806×expm1-log1p-u
614×log-prod
514×cancel-sign-sub-inv
498×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044912257
198011849
2271611731
052810851
1121010498
2352610282
018197
1263192
23649192
Stop Event
done
node limit
node limit
node limit
Compiler

Compiled 145 to 54 computations (62.8% saved)

preprocess101.0ms (1.8%)

Remove

(sort x y)

Compiler

Compiled 194 to 102 computations (47.4% saved)

end0.0ms (0%)

Profiling

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