Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

Time bar (total: 2.9s)

analyze0.0ms (0%)

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

Compiled 12 to 8 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 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)

sample661.0ms (22.9%)

Results
455.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 257.0ms
ival-mult: 194.0ms (75.4% of total)
ival-sub: 49.0ms (19% of total)
const: 11.0ms (4.3% of total)
backward-pass: 3.0ms (1.2% of total)
Bogosity

preprocess116.0ms (4%)

Algorithm
egg-herbie
Rules
597×fma-neg
216×fma-define
172×unsub-neg
163×associate-*r*
148×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028212
191196
2210196
3722196
41664196
52112196
62480196
72600196
82600196
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y))))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y)))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (*.f64 y x)))
Outputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 (*.f64 x (+.f64 x y)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x y)))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y)))))
(*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 (*.f64 x (+.f64 x y)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (*.f64 y (-.f64 y x)))
(*.f64 y (*.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 y x)))
(*.f64 y (*.f64 #s(literal -2 binary64) (-.f64 x y)))

explain70.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
130-0-(-.f64 (*.f64 x x) (*.f64 x y))
00-0-x
00-0-(*.f64 x y)
00-0-(*.f64 x x)
00-0-(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
00-0-#s(literal 2 binary64)
00-0-y
Results
35.0ms512×0valid
Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 10.0ms (68.6% of total)
ival-sub: 3.0ms (20.6% of total)
const: 1.0ms (6.9% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
Compiler

Compiled 20 to 13 computations (35% saved)

localize91.0ms (3.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (-.f64 x y))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
cost-diff128
(-.f64 (*.f64 x x) (*.f64 x y))
cost-diff128
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
accuracy100.0%
(*.f64 x (-.f64 x y))
accuracy95.6%
(-.f64 (*.f64 x x) (*.f64 x y))
Rules
429×fma-define
280×fma-neg
93×associate-*r*
78×distribute-lft-in
61×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015157
130157
264157
3134157
4251157
5388157
6703157
71072157
81467157
91541157
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
#s(literal 2 binary64)
(*.f64 x (-.f64 x y))
x
(-.f64 x y)
y
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
#s(literal 2 binary64)
(-.f64 (*.f64 x x) (*.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
#s(literal 2 binary64)
(*.f64 x (-.f64 x y))
x
(-.f64 x y)
y
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))
#s(literal 2 binary64)
(-.f64 (*.f64 x x) (*.f64 x y))
(*.f64 x (-.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y
Results
26.0ms256×0valid
Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (65.9% of total)
ival-sub: 3.0ms (24.7% of total)
const: 1.0ms (8.2% of total)
backward-pass: 0.0ms (0% of total)

series92.0ms (3.2%)

Counts
4 → 96
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x x) (*.f64 x y))>
#<alt (*.f64 x (-.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))>
#<alt (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (-.f64 x y))>
#<alt (*.f64 x (-.f64 x y))>
#<alt (*.f64 x (-.f64 x 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 -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal -1 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 -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (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 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.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) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (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 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.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) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
Calls

24 calls:

TimeVariablePointExpression
78.0ms
x
@inf
(* 2 (* x (- x y)))
2.0ms
y
@0
(* 2 (* x (- x y)))
1.0ms
x
@0
(* 2 (* x (- x y)))
1.0ms
x
@inf
(- (* x x) (* x y))
1.0ms
y
@inf
(- (* x x) (* x y))

rewrite499.0ms (17.3%)

Algorithm
batch-egg-rewrite
Rules
952×log1p-expm1-u
952×expm1-log1p-u
669×fma-define
483×log-prod
268×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015100
1223100
22657100
Stop Event
node limit
Counts
4 → 557
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 x y))
(*.f64 x (-.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
Outputs
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (neg.f64 x)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(+.f64 (*.f64 x (-.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
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(fma.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) x (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) x (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 x y))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (-.f64 x y)))) (sqrt.f64 (*.f64 x (-.f64 x y))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (-.f64 x y)))) (sqrt.f64 (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x y) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x y) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x y)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(+.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y)))
(+.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(+.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y (neg.f64 x))))
(+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 x y)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 x y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 x y) (*.f64 x (+.f64 x y)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 x (+.f64 x y)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 x y) (*.f64 x (+.f64 x y)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (+.f64 x y)))
(pow.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 y (neg.f64 x)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) x (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) x (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 x y))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (-.f64 x y)))) (sqrt.f64 (*.f64 x (-.f64 x y))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (-.f64 x y)))) (sqrt.f64 (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x y) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x y) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x y)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))

simplify346.0ms (12%)

Algorithm
egg-herbie
Rules
807×times-frac
681×distribute-lft-in
266×fma-neg
234×cancel-sign-sub-inv
229×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054021917
1126020989
2337220443
Stop Event
node limit
Counts
653 → 351
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (-.f64 x y))
(*.f64 x (-.f64 x y))
(*.f64 x (-.f64 x y))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 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 -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) x (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) x (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 x y))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (-.f64 x y)))) (sqrt.f64 (*.f64 x (-.f64 x y))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (-.f64 x y)))) (sqrt.f64 (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x y) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x y) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x y)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 x y))
(*.f64 x (-.f64 x y))
(*.f64 x (-.f64 x y))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 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 -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 x y))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 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 -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 x #s(literal -2 binary64))))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 x #s(literal -2 binary64))))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 y (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 y (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 y (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
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(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 y (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y (neg.f64 x))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) x (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) x (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 x y))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (-.f64 x y)))) (sqrt.f64 (*.f64 x (-.f64 x y))) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (-.f64 x y)))) (sqrt.f64 (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x y) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x y) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x y)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) (*.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))

eval71.0ms (2.5%)

Compiler

Compiled 6458 to 2383 computations (63.1% saved)

prune53.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3501351
Fresh000
Picked022
Done000
Total3503353
Accuracy
100.0%
Counts
353 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
94.9%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize47.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal -2 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
accuracy100.0%
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
accuracy100.0%
(*.f64 x #s(literal -2 binary64))
Rules
*-commutative
associate-*r*
associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11438
22138
32338
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
y
Outputs
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
y
Results
33.0ms256×0valid
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 24.0ms (98.8% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.2%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 x #s(literal -2 binary64))>
#<alt (*.f64 (*.f64 x #s(literal -2 binary64)) y)>
Outputs
#<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 (*.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

9 calls:

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

rewrite68.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
407×unpow-prod-down
361×log1p-expm1-u
361×expm1-log1p-u
347×add-exp-log
335×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
18829
2100629
Stop Event
node limit
Counts
2 → 42
Calls
Call 1
Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.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 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal -2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))
(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 (cbrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 #s(literal -2 binary64) y)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) 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 (+.f64 #s(literal 1 binary64) (*.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 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 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))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) 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 (cbrt.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 2 binary64)))

simplify191.0ms (6.6%)

Algorithm
egg-herbie
Rules
636×prod-exp
438×exp-sum
384×associate-*r*
318×associate-*l*
268×associate--l+
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01271478
12161478
24961478
323331478
436291478
567391476
Stop Event
node limit
Counts
78 → 56
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.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 0 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.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 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal -2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))
(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 (cbrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 #s(literal -2 binary64) y)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) 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 (+.f64 #s(literal 1 binary64) (*.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 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 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))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) 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 (cbrt.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.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 0 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) x)
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal -2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) x)
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -2 binary64) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal -2 binary64) x)
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))
(*.f64 #s(literal -2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)))
(*.f64 #s(literal -2 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -2 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -2 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal -2 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -2 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 #s(literal -2 binary64) y)))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) y))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x y)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal -2 binary64) 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 #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 (exp.f64 #s(literal -2 binary64)) (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal -2 binary64) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 (fabs.f64 (*.f64 x y))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(pow.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 3 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(pow.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(pow.f64 (E.f64) (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 3 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal -2 binary64) y)))) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 x y))

eval18.0ms (0.6%)

Compiler

Compiled 577 to 429 computations (25.6% saved)

prune9.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh000
Picked011
Done022
Total56359
Accuracy
100.0%
Counts
59 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
94.9%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
Compiler

Compiled 50 to 32 computations (36% saved)

regimes91.0ms (3.2%)

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

4 calls:

2.0ms
y
2.0ms
x
1.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
1.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
100.0%1(-.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

0.0ms
y
0.0ms
x
Results
AccuracySegmentsBranch
59.0%1x
59.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01447
12147
22647
32847
42947
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
(*.f64 y (*.f64 x #s(literal -2 binary64)))

soundness420.0ms (14.6%)

Rules
807×times-frac
681×distribute-lft-in
597×fma-neg
266×fma-neg
234×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054021917
1126020989
2337220443
028212
191196
2210196
3722196
41664196
52112196
62480196
72600196
82600196
Stop Event
done
saturated
node limit
Compiler

Compiled 49 to 31 computations (36.7% saved)

preprocess32.0ms (1.1%)

Compiler

Compiled 68 to 44 computations (35.3% saved)

end0.0ms (0%)

Profiling

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