Kahan p9 Example

Time bar (total: 8.8s)

analyze7.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%18.7%81.3%0%0%0%0
0%0%18.7%81.3%0%0%0%1
0%0%18.7%81.3%0%0%0%2
50%9.4%9.4%81.3%0%0%0%3
50%9.4%9.4%81.3%0%0%0%4
87.5%16.4%2.3%81.3%0%0%0%5
87.5%16.4%2.3%81.3%0%0%0%6
96.9%18.1%0.6%81.3%0%0%0%7
96.9%18.1%0.6%81.3%0%0%0%8
99.2%18.6%0.1%81.3%0%0%0%9
99.2%18.6%0.1%81.3%0%0%0%10
99.8%18.7%0%81.3%0%0%0%11
99.8%18.7%0%81.3%0%0%0%12
Compiler

Compiled 28 to 17 computations (39.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (56.9% of total)
ival-add: 1.0ms (28.5% of total)
ival-<: 1.0ms (28.5% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.8s (20.2%)

Results
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 998.0ms
ival-mult: 425.0ms (42.6% of total)
ival-div: 193.0ms (19.3% of total)
ival-<: 149.0ms (14.9% of total)
ival-add: 139.0ms (13.9% of total)
ival-sub: 58.0ms (5.8% of total)
ival-and: 18.0ms (1.8% of total)
const: 14.0ms (1.4% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess187.0ms (2.1%)

Algorithm
egg-herbie
Rules
675×fma-neg
505×times-frac
498×fma-define
447×associate-+r+
410×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036465
1124465
2359441
31034441
43108441
56376441
67046441
77496441
87830441
97898441
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))) (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 (-.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y))))
(neg.f64 (/.f64 (*.f64 (-.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))) (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 (*.f64 y y) (*.f64 x x)))
Outputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))) (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (-.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 y x)) (neg.f64 (fma.f64 x x (*.f64 y y))))
(*.f64 (-.f64 y x) (/.f64 (-.f64 (neg.f64 x) y) (neg.f64 (fma.f64 y y (*.f64 x x)))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 x x (*.f64 y y))))
(neg.f64 (/.f64 (*.f64 (-.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))) (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))))
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 y x)) (neg.f64 (fma.f64 x x (*.f64 y y))))
(*.f64 (-.f64 y x) (/.f64 (-.f64 (neg.f64 x) y) (neg.f64 (fma.f64 y y (*.f64 x x)))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 x x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 y x)) (neg.f64 (fma.f64 x x (*.f64 y y))))
(*.f64 (-.f64 y x) (/.f64 (-.f64 (neg.f64 x) y) (neg.f64 (fma.f64 y y (*.f64 x x)))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 x x (*.f64 y y))))
Symmetry

(abs x)

(abs y)

explain203.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
910-0-(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
00-0-x
00-0-(*.f64 y y)
00-0-(+.f64 x y)
00-0-(-.f64 x y)
00-0-y
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-(*.f64 x x)
00-0-(*.f64 (-.f64 x y) (+.f64 x y))
Results
170.0ms512×0valid
Compiler

Compiled 109 to 29 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-add: 126.0ms (87.9% of total)
ival-mult: 10.0ms (7% of total)
ival-sub: 3.0ms (2.1% of total)
ival-div: 3.0ms (2.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 30 to 12 computations (60% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
64.4%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
65.3%
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
Compiler

Compiled 33 to 17 computations (48.5% saved)

localize216.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
accuracy66.4%
(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
accuracy64.9%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Rules
600×fma-define
552×sub-neg
522×unsub-neg
445×div-sub
304×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018363
135363
269363
3152363
4329363
5742363
61711363
73988363
86069363
97670363
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(-.f64 x y)
x
y
(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(+.f64 x y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 x x (*.f64 y y)))
(-.f64 x y)
x
y
(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))
(+.f64 x y)
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 x x (*.f64 y y)))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Results
39.0ms256×0valid
Compiler

Compiled 87 to 13 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 8.0ms (40.8% of total)
ival-div: 3.0ms (15.3% of total)
ival-add: 3.0ms (15.3% of total)
ival-fma: 3.0ms (15.3% of total)
ival-sub: 2.0ms (10.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
6 → 123
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))>
#<alt (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))>
#<alt (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))>
#<alt (*.f64 x x)>
#<alt (-.f64 x y)>
#<alt (+.f64 x y)>
Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1 binary64) x))) y) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y x))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x))) x)) #s(literal 1 binary64)) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))) y)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y))) y)) #s(literal 1 binary64)) y))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1 binary64) x))) y) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
Calls

33 calls:

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

rewrite282.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
873×log1p-expm1-u
873×expm1-log1p-u
666×fma-define
273×fma-neg
117×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018198
1298171
24078171
Stop Event
node limit
Counts
6 → 299
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(*.f64 x x)
(-.f64 x y)
(+.f64 x y)
Outputs
(+.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) x) (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 y)))
(+.f64 (*.f64 x (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) (-.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (hypot.f64 x y)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (hypot.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (hypot.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 x y) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
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(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) y)

simplify175.0ms (2%)

Algorithm
egg-herbie
Rules
488×associate-*r*
479×associate-*l*
477×times-frac
271×associate-/r*
265×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076217376
1202115908
Stop Event
node limit
Counts
422 → 430
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1 binary64) x))) y) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y x))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x))) x)) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))) y)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y))) y)) #s(literal 1 binary64)) y))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1 binary64) x))) y) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (neg.f64 y))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(fma.f64 (/.f64 (-.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 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (/.f64 (-.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 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (/.f64 (-.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 x y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (-.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 x y))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) y)
Outputs
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64))) x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) y) x)))) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64))) x) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
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(fma.f64 (/.f64 (-.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 x y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(-.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 x y)
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(+.f64 x y)
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(+.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(+.f64 x y)
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(+.f64 x y)
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.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 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 x y))
(+.f64 x y)
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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 (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (-.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 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x y)))
(/.f64 (-.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 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 x y)
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(+.f64 x y)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x y)
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 x y)
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (+.f64 x y))
(log.f64 (exp.f64 (+.f64 x y)))
(+.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(+.f64 x y)
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(+.f64 x y)
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(+.f64 x y)
(exp.f64 (log.f64 (+.f64 x y)))
(+.f64 x y)
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 x y)
(fma.f64 x #s(literal 1 binary64) y)
(+.f64 x y)
(fma.f64 y #s(literal 1 binary64) x)
(+.f64 x y)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 x y)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(+.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.f64 x y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(+.f64 x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 x y)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 y)) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) y)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 x)) y)

eval240.0ms (2.7%)

Compiler

Compiled 13891 to 5545 computations (60.1% saved)

prune160.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New6206626
Fresh000
Picked112
Done000
Total6217628
Accuracy
100.0%
Counts
628 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.5%
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y))) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
64.4%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
100.0%
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
35.5%
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
67.7%
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
34.0%
#s(literal 1 binary64)
66.9%
#s(literal -1 binary64)
Compiler

Compiled 171 to 99 computations (42.1% saved)

localize171.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 x y) (hypot.f64 x y))
cost-diff128
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
cost-diff128
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
cost-diff6400
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
accuracy99.8%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
accuracy92.9%
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
accuracy89.8%
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
Rules
778×div-sub
682×times-frac
466×distribute-lft-in
349×distribute-rgt-in
349×fma-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
023434
152434
2106434
3285430
4830424
52719412
66990412
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(-.f64 x y)
x
y
(hypot.f64 x y)
(/.f64 (+.f64 x y) (hypot.f64 x y))
(+.f64 x y)
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(-.f64 x y)
x
y
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(-.f64 x y)
x
y
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
Outputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (hypot.f64 x y))))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(-.f64 x y)
x
y
(hypot.f64 x y)
(/.f64 (+.f64 x y) (hypot.f64 x y))
(+.f64 x y)
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) #s(literal -1 binary64))
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1 binary64))
(-.f64 x y)
x
y
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (-.f64 x y) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) x) x))
(-.f64 x y)
x
y
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
Results
70.0ms256×0valid
Compiler

Compiled 109 to 33 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 17.0ms (43.5% of total)
ival-add: 9.0ms (23.1% of total)
ival-mult: 5.0ms (12.8% of total)
ival-hypot: 5.0ms (12.8% of total)
ival-sub: 2.0ms (5.1% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.3%)

Counts
6 → 138
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))>
#<alt (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)>
#<alt (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))>
#<alt (/.f64 (-.f64 x y) (hypot.f64 x y))>
Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 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)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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 (+.f64 (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
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#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1 binary64) x))) y) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 x y) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) x))) x)) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))>
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#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 x y) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y))) y)))>
Calls

36 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(/ (+ 1 (/ x y)) y)
1.0ms
y
@0
(* (- x y) (/ (+ 1 (/ x y)) y))
1.0ms
x
@inf
(* (- x y) (/ (+ 1 (/ x y)) y))
1.0ms
y
@inf
(* (- x y) (/ (+ 1 (/ y x)) x))
1.0ms
x
@-inf
(* (- x y) (/ (+ 1 (/ x y)) y))

rewrite204.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
953×log1p-expm1-u
188×add-cube-cbrt
188×expm1-log1p-u
186×add-exp-log
186×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022246
1405228
26659228
Stop Event
node limit
Counts
6 → 240
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(/.f64 (-.f64 x y) (hypot.f64 x y))
Outputs
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) (neg.f64 y)))
(+.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (*.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y))) #s(literal 1 binary64))
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (cbrt.f64 y)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64)) y))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 x y)) (log.f64 y)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 x y)) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))
(/.f64 (-.f64 x y) (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (hypot.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 x y) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (hypot.f64 x y))))
(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
(/.f64 (+.f64 x y) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (hypot.f64 x y)))
(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (neg.f64 (hypot.f64 x y))))
(/.f64 (neg.f64 (+.f64 x y)) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (neg.f64 (hypot.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (hypot.f64 x y)) (hypot.f64 x y))
(/.f64 (*.f64 (-.f64 x y) (neg.f64 (+.f64 x y))) (*.f64 (hypot.f64 x y) (neg.f64 (hypot.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) (+.f64 x y)) (*.f64 (neg.f64 (hypot.f64 x y)) (hypot.f64 x y)))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 (+.f64 x y))) (*.f64 (neg.f64 (hypot.f64 x y)) (neg.f64 (hypot.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))) (*.f64 (hypot.f64 x y) (neg.f64 (hypot.f64 x y))))
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (*.f64 (neg.f64 (hypot.f64 x y)) (hypot.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 (-.f64 x y))) (*.f64 (neg.f64 (hypot.f64 x y)) (neg.f64 (hypot.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (neg.f64 (+.f64 x y))) (neg.f64 (hypot.f64 x y)))
(/.f64 (*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (neg.f64 (-.f64 x y))) (neg.f64 (hypot.f64 x y)))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (hypot.f64 x y)) #s(literal 1 binary64)) (hypot.f64 x y))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (hypot.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 x y)))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y))) (sqrt.f64 (hypot.f64 x y)))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (hypot.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 x (hypot.f64 x y)) (neg.f64 (/.f64 y (hypot.f64 x y))))
(-.f64 (/.f64 x (hypot.f64 x y)) (/.f64 y (hypot.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (hypot.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) (hypot.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (hypot.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (/.f64 (-.f64 x y) (cbrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x y))) (/.f64 (-.f64 x y) (sqrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) (hypot.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 x y)) (hypot.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (hypot.f64 x y))))
(pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 (hypot.f64 x y))))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (hypot.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) #s(literal 1 binary64)))

simplify173.0ms (2%)

Algorithm
egg-herbie
Rules
367×associate-*l*
366×associate-*r*
360×times-frac
323×associate-/l*
305×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080917394
1228415793
Stop Event
node limit
Counts
378 → 414
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 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)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(/.f64 #s(literal 1 binary64) x)
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
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#s(literal -1 binary64)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
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#s(literal 1 binary64)
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#s(literal -1 binary64)
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)) #s(literal 1 binary64))
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)))
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(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 x y)) (log.f64 y)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 x y)) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))
(/.f64 (-.f64 x y) (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (hypot.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 x y) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (hypot.f64 x y))))
(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
(/.f64 (+.f64 x y) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (hypot.f64 x y)))
(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 (/.f64 (hypot.f64 x y) (+.f64 x y)) (neg.f64 (hypot.f64 x y))))
(/.f64 (neg.f64 (+.f64 x y)) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (neg.f64 (hypot.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (hypot.f64 x y)) (hypot.f64 x y))
(/.f64 (*.f64 (-.f64 x y) (neg.f64 (+.f64 x y))) (*.f64 (hypot.f64 x y) (neg.f64 (hypot.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) (+.f64 x y)) (*.f64 (neg.f64 (hypot.f64 x y)) (hypot.f64 x y)))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 (+.f64 x y))) (*.f64 (neg.f64 (hypot.f64 x y)) (neg.f64 (hypot.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))) (*.f64 (hypot.f64 x y) (neg.f64 (hypot.f64 x y))))
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (*.f64 (neg.f64 (hypot.f64 x y)) (hypot.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (neg.f64 (-.f64 x y))) (*.f64 (neg.f64 (hypot.f64 x y)) (neg.f64 (hypot.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (neg.f64 (+.f64 x y))) (neg.f64 (hypot.f64 x y)))
(/.f64 (*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (neg.f64 (-.f64 x y))) (neg.f64 (hypot.f64 x y)))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y))) (neg.f64 (hypot.f64 x y)))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (hypot.f64 x y)) #s(literal 1 binary64)) (hypot.f64 x y))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (hypot.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 x y)))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y))) (sqrt.f64 (hypot.f64 x y)))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (hypot.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 x (hypot.f64 x y)) (neg.f64 (/.f64 y (hypot.f64 x y))))
(-.f64 (/.f64 x (hypot.f64 x y)) (/.f64 y (hypot.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (hypot.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) (hypot.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (hypot.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (hypot.f64 x y))))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (/.f64 (-.f64 x y) (cbrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x y))) (/.f64 (-.f64 x y) (sqrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) (hypot.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 x y)) (hypot.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (hypot.f64 x y))))
(pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 (hypot.f64 x y))))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (hypot.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) #s(literal 1 binary64)))
Outputs
#s(literal -1 binary64)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 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)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 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)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 y (*.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 y (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 y)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 y (+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 y)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(+.f64 (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(+.f64 (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)))
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 0 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal -1 binary64)
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#s(literal -1 binary64)
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) (hypot.f64 x y)))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x y))) (/.f64 (-.f64 x y) (sqrt.f64 (hypot.f64 x y))))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 (hypot.f64 x y))) (sqrt.f64 (hypot.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 x y)) (hypot.f64 x y)))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (hypot.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) (/.f64 (-.f64 x y) (cbrt.f64 (hypot.f64 x y))))
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (hypot.f64 x y))) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 1 binary64))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) #s(literal 3 binary64))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) #s(literal 2 binary64))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) #s(literal -1 binary64))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 (hypot.f64 x y))))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (hypot.f64 x y)))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)))))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) #s(literal 3 binary64)))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 3 binary64))))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) #s(literal 1 binary64)))
(/.f64 (-.f64 x y) (hypot.f64 x y))

eval84.0ms (1%)

Compiler

Compiled 7518 to 3647 computations (51.5% saved)

prune74.0ms (0.8%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New4086414
Fresh011
Picked235
Done011
Total41011421
Accuracy
100.0%
Counts
421 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
35.6%
(/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
99.9%
(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
64.5%
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y))) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
64.4%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
100.0%
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
68.5%
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
67.7%
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
36.3%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
34.0%
#s(literal 1 binary64)
66.9%
#s(literal -1 binary64)
Compiler

Compiled 272 to 157 computations (42.3% saved)

localize247.0ms (2.8%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
cost-diff128
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
cost-diff6400
(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))
cost-diff6400
(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
accuracy99.8%
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy93.3%
(/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
accuracy90.5%
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
accuracy89.8%
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
Rules
877×fma-define
586×fma-neg
478×unsub-neg
471×distribute-lft-in
424×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028747
174733
2205724
3570724
41758724
56624724
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(+.f64 x y)
x
y
(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))
(hypot.f64 x y)
(/.f64 (hypot.f64 x y) (-.f64 x y))
(-.f64 x y)
(/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(-.f64 x y)
x
y
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(-.f64 x y)
x
y
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(-.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
(/.f64 (+.f64 x y) (hypot.f64 x y))
(+.f64 x y)
(hypot.f64 x y)
Outputs
(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y y)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(+.f64 x y)
x
y
(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))
(/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))
(hypot.f64 x y)
(/.f64 (hypot.f64 x y) (-.f64 x y))
(-.f64 x y)
(/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 x y)
x
y
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(-.f64 x y)
x
y
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(-.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
(/.f64 (+.f64 x y) (hypot.f64 x y))
(+.f64 x y)
(hypot.f64 x y)
Results
94.0ms256×0valid
Compiler

Compiled 187 to 54 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-div: 23.0ms (40.7% of total)
ival-add: 13.0ms (23% of total)
ival-mult: 9.0ms (15.9% of total)
ival-hypot: 5.0ms (8.9% of total)
ival-sub: 4.0ms (7.1% of total)
const: 2.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

series20.0ms (0.2%)

Counts
7 → 168
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))>
#<alt (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 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)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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 (+.f64 (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 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)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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 (+.f64 (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
Calls

42 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(/ x (+ 1 (/ y x)))
1.0ms
x
@inf
(* (sqrt (+ (* x x) (* y y))) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
1.0ms
y
@inf
(* (sqrt (+ (* x x) (* y y))) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
0.0ms
y
@-inf
(* (sqrt (+ (* x x) (* y y))) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
0.0ms
y
@inf
(/ x (+ 1 (/ y x)))

rewrite296.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
228×log1p-expm1-u
228×add-cube-cbrt
228×expm1-log1p-u
226×add-exp-log
226×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025310
1491286
Stop Event
node limit
Counts
7 → 327
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
Outputs
(+.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 (/.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(+.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (*.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(+.f64 (/.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(+.f64 (/.f64 (-.f64 x y) y) (*.f64 (/.f64 x y) (/.f64 (-.f64 x y) y)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) y) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) y) (/.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) y) (/.f64 x y)) (*.f64 (/.f64 (-.f64 x y) y) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y)) (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (-.f64 x y)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 (-.f64 x y) y)) (/.f64 (-.f64 x y) y))
(-.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (*.f64 (/.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))) #s(literal 1 binary64))
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 x y)) (/.f64 y (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y)))))
(/.f64 (/.f64 (-.f64 x y) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) y)) (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (+.f64 x y) y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 y (+.f64 x y)))
(/.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))))
(/.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))) (+.f64 (*.f64 (*.f64 (/.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (/.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (*.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (*.f64 (/.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))))
(/.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))) (*.f64 (*.f64 (/.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (/.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (+.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (*.f64 (/.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 x y)) y)
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(/.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(/.f64 (*.f64 (/.f64 (-.f64 x y) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (+.f64 x y))
(/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(pow.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 x y) y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(exp.f64 (+.f64 (log.f64 (/.f64 (-.f64 x y) y)) (log1p.f64 (/.f64 x y))))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 (-.f64 x y) y)) (log1p.f64 (/.f64 x y))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 (/.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(+.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (*.f64 (neg.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(+.f64 (/.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(+.f64 (/.f64 (-.f64 x y) y) (*.f64 (/.f64 x y) (/.f64 (-.f64 x y) y)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) y) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) y) (/.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) y) (/.f64 x y)) (*.f64 (/.f64 (-.f64 x y) y) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y)) (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (-.f64 x y)))
(+.f64 (*.f64 (/.f64 x y) (/.f64 (-.f64 x y) y)) (/.f64 (-.f64 x y) y))
(-.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (*.f64 (/.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))) #s(literal 1 binary64))
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) (-.f64 x y))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (-.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (sqrt.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) (-.f64 x y)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y))))))
(*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 2 binary64))) (/.f64 (-.f64 x y) (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (/.f64 (-.f64 x y) (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) y) (/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (*.f64 (/.f64 (-.f64 x y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
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(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))) (/.f64 (+.f64 x y) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (hypot.f64 x y)) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (hypot.f64 x y) (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(*.f64 (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(*.f64 (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (hypot.f64 x y)) (-.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))
(*.f64 (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (neg.f64 (hypot.f64 x y))) (neg.f64 (-.f64 x y)))
(pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) (+.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (-.f64 x y)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (hypot.f64 x y) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))
(/.f64 (*.f64 (hypot.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(/.f64 (*.f64 (hypot.f64 x y) (neg.f64 (hypot.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (hypot.f64 x y)) (hypot.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (-.f64 x y)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x y)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y))) (neg.f64 y))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 y #s(literal -2 binary64)))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y)
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (*.f64 x (pow.f64 y #s(literal -2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 x y)) (log.f64 y)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 x y)) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (-.f64 (log.f64 y) (log1p.f64 (/.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (pow.f64 y #s(literal -2 binary64))))

simplify487.0ms (5.5%)

Algorithm
egg-herbie
Rules
571×associate-*r*
406×fma-define
401×distribute-lft-in
380×distribute-rgt-in
346×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104725411
1307721830
Stop Event
node limit
Counts
495 → 563
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 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)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal -1 binary64)
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(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y)) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))) (/.f64 (+.f64 x y) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (hypot.f64 x y)) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (hypot.f64 x y) (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(*.f64 (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(*.f64 (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (hypot.f64 x y)) (-.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))
(*.f64 (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (neg.f64 (hypot.f64 x y))) (neg.f64 (-.f64 x y)))
(pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) (+.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (-.f64 x y)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (hypot.f64 x y) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))
(/.f64 (*.f64 (hypot.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(/.f64 (*.f64 (hypot.f64 x y) (neg.f64 (hypot.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (hypot.f64 x y)) (hypot.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (-.f64 x y)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x y)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y))) (neg.f64 y))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 y #s(literal -2 binary64)))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y)
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (*.f64 x (pow.f64 y #s(literal -2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 x y)) (log.f64 y)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 x y)) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (-.f64 (log.f64 y) (log1p.f64 (/.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
Outputs
#s(literal -1 binary64)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
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#s(literal -1 binary64)
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x
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x
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x
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(fma.f64 x (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(+.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (pow.f64 y #s(literal -2 binary64))))

eval208.0ms (2.4%)

Compiler

Compiled 10758 to 5481 computations (49.1% saved)

prune105.0ms (1.2%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New5567563
Fresh112
Picked325
Done044
Total56014574
Accuracy
100.0%
Counts
574 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.8%
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
68.4%
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
67.9%
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
36.3%
(/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
67.3%
(/.f64 (+.f64 x y) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
34.7%
(/.f64 (+.f64 x y) (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))))
64.5%
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y))) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
64.4%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
100.0%
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
35.7%
(*.f64 (/.f64 (-.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
67.7%
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
67.8%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y)))
34.0%
#s(literal 1 binary64)
66.9%
#s(literal -1 binary64)
Compiler

Compiled 322 to 205 computations (36.3% saved)

localize381.0ms (4.3%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
cost-diff0
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
cost-diff64
(*.f64 #s(literal -1 binary64) y)
accuracy99.8%
(*.f64 (/.f64 (-.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy99.6%
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
accuracy99.5%
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
accuracy89.0%
(/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
Rules
576×div-sub
471×fma-neg
391×unsub-neg
387×fma-define
354×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033650
177632
2147632
3352632
4840614
52612614
65897614
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal 2 binary64)
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal -1 binary64)
(*.f64 (/.f64 (-.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 x y) x)
(-.f64 x y)
x
y
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
(/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(-.f64 x y)
x
y
(+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
#s(literal 1 binary64)
(/.f64 (+.f64 x y) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(+.f64 x y)
x
y
(+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
#s(literal -2 binary64)
(/.f64 x y)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
Outputs
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal 2 binary64)
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal -1 binary64)
(*.f64 (/.f64 (-.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 x y) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(-.f64 x y)
x
y
(+.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
(/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (-.f64 x y) (+.f64 x (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(/.f64 (-.f64 x y) (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x)) x))
(-.f64 x y)
x
y
(+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(+.f64 x (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 y x)
#s(literal 1 binary64)
(/.f64 (+.f64 x y) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (+.f64 x y) (fma.f64 #s(literal -1 binary64) y (*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)))))
(/.f64 (+.f64 x y) (-.f64 (*.f64 x (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) y))
(/.f64 (+.f64 x y) (fma.f64 x (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 y)))
(/.f64 (+.f64 x y) (-.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))) y))
(/.f64 (+.f64 x y) (fma.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) (neg.f64 y)))
(+.f64 x y)
x
y
(+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) y (*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(-.f64 (*.f64 x (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))) y)
(fma.f64 x (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 y))
(-.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))) y)
(fma.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
#s(literal -1 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal -2 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
#s(literal -2 binary64)
(/.f64 x y)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
Results
242.0ms256×0valid
Compiler

Compiled 182 to 81 computations (55.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 28.0ms (34% of total)
ival-pow: 12.0ms (14.6% of total)
ival-div: 11.0ms (13.3% of total)
ival-sub: 11.0ms (13.3% of total)
ival-add: 9.0ms (10.9% of total)
ival-fma: 6.0ms (7.3% of total)
const: 5.0ms (6.1% of total)
backward-pass: 0.0ms (0% of total)

series77.0ms (0.9%)

Counts
7 → 120
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))))>
#<alt (pow.f64 (/.f64 x y) #s(literal 2 binary64))>
#<alt (pow.f64 (/.f64 y x) #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 (-.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))>
#<alt (/.f64 x y)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) x)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 y (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) y)) (/.f64 (pow.f64 x #s(literal 5 binary64)) y)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) y))>
#<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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
y
@0
(/ (- x y) (+ x (* y (- (/ y x) 1))))
1.0ms
y
@inf
(/ (- x y) (+ x (* y (- (/ y x) 1))))
1.0ms
y
@0
(pow (/ x y) 2)
1.0ms
x
@0
(/ (- x y) (+ x (* y (- (/ y x) 1))))
1.0ms
x
@0
(pow (/ x y) 2)

rewrite178.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
920×log1p-expm1-u
186×expm1-log1p-u
185×add-cube-cbrt
183×add-log-exp
182×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025187
1409158
26588158
Stop Event
node limit
Counts
7 → 251
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 (/.f64 (-.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) y)
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 x y)
Outputs
(+.f64 (/.f64 x (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)) (neg.f64 (/.f64 y (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(-.f64 (/.f64 x (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)) (/.f64 y (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))) (sqrt.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(*.f64 (+.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (/.f64 (+.f64 x y) (cbrt.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))) (/.f64 (+.f64 x y) (sqrt.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(*.f64 (/.f64 (+.f64 x y) (+.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) (-.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x))))
(*.f64 (/.f64 (+.f64 x y) (pow.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))
(pow.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x) (+.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(/.f64 x (*.f64 y (/.f64 y x)))
(/.f64 x (*.f64 (/.f64 y x) y))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 y x) y))
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(/.f64 (*.f64 x (/.f64 x y)) y)
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x y))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))

simplify198.0ms (2.2%)

Algorithm
egg-herbie
Rules
632×fma-neg
410×associate-*l*
371×associate-*r*
356×times-frac
309×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066414351
1175612704
2723412703
Stop Event
node limit
Counts
371 → 399
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 x (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) x)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 y (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) y)
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) y)) (/.f64 (pow.f64 x #s(literal 5 binary64)) y)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) y))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (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 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (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 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #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)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #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)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
#s(literal -1 binary64)
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 x y)) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x (+.f64 x y))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (neg.f64 x) y)) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x))) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (+.f64 (/.f64 y x) #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64))))) (-.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 (neg.f64 x) y)) (neg.f64 x))
(/.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x))))
(/.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (neg.f64 x) y) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 y x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 y)
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x y))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 x (neg.f64 y))
(*.f64 x (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 x (neg.f64 y)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
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(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))
(/.f64 x (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(/.f64 x (neg.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 x y)
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 x y)
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(/.f64 x y)
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x y)
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(/.f64 x y)
(neg.f64 (/.f64 x y))
(/.f64 x (neg.f64 y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 x y)
(fabs.f64 (/.f64 x y))
(/.f64 x y)
(log.f64 (exp.f64 (/.f64 x y)))
(/.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(/.f64 x y)
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(/.f64 x y)
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 x y)
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (log.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 x y)

eval129.0ms (1.5%)

Compiler

Compiled 7495 to 4221 computations (43.7% saved)

prune82.0ms (0.9%)

Pruning

15 alts after pruning (7 fresh and 8 done)

PrunedKeptTotal
New4394443
Fresh033
Picked325
Done066
Total44215457
Accuracy
100.0%
Counts
457 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.8%
(fma.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal -2 binary64) #s(literal 1 binary64))
35.8%
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
67.9%
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
36.3%
(/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
67.3%
(/.f64 (+.f64 x y) (+.f64 (neg.f64 y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
34.7%
(/.f64 (+.f64 x y) (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))))
64.5%
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y))) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
64.4%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
68.4%
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
100.0%
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
35.7%
(*.f64 (/.f64 (-.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
67.7%
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
67.8%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y)))
34.0%
#s(literal 1 binary64)
66.9%
#s(literal -1 binary64)
Compiler

Compiled 515 to 262 computations (49.1% saved)

regimes20.0ms (0.2%)

Counts
25 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 (/.f64 (-.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y)))
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (+.f64 x y) (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))))
(/.f64 (+.f64 x y) (+.f64 (neg.f64 y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (+.f64 x y) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y))) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
Outputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
Calls

3 calls:

9.0ms
y
7.0ms
x
2.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes49.0ms (0.5%)

Counts
23 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 (/.f64 (-.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y)))
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (+.f64 x y) (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))))
(/.f64 (+.f64 x y) (+.f64 (neg.f64 y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (+.f64 x y) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y))) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
Outputs
(fma.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y))) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
#s(literal -1 binary64)
Calls

3 calls:

26.0ms
x
18.0ms
y
2.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Results
AccuracySegmentsBranch
80.2%4x
93.0%3y
90.1%2(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes18.0ms (0.2%)

Counts
19 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 (/.f64 (-.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y)))
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (+.f64 x y) (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))))
(/.f64 (+.f64 x y) (+.f64 (neg.f64 y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (+.f64 x y) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
Outputs
(fma.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
#s(literal -1 binary64)
Calls

1 calls:

17.0ms
y
Results
AccuracySegmentsBranch
92.9%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts
15 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 (/.f64 (-.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y)))
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (+.f64 x y) (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))))
(/.f64 (+.f64 x y) (+.f64 (neg.f64 y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (+.f64 x y) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
Outputs
(/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))
#s(literal -1 binary64)
Calls

1 calls:

13.0ms
y
Results
AccuracySegmentsBranch
92.9%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

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

1 calls:

11.0ms
y
Results
AccuracySegmentsBranch
86.9%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

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

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
86.8%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

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

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
86.6%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
86.5%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
86.3%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
86.1%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

0.0ms
y
0.0ms
x
Results
AccuracySegmentsBranch
66.9%1x
66.9%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch28.0ms (0.3%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
16.0ms
8.789164814625762e-51
1.7202260402935464e-47
10.0ms
7.244582832463524e-178
5.468208032819393e-177
Results
18.0ms224×0valid
Compiler

Compiled 538 to 323 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (58.1% of total)
ival-add: 2.0ms (16.6% of total)
ival-sub: 1.0ms (8.3% of total)
ival-div: 1.0ms (8.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
8.789164814625762e-51
1.7202260402935464e-47
13.0ms
7.244582832463524e-178
5.468208032819393e-177
Results
18.0ms224×0valid
Compiler

Compiled 384 to 239 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (57.1% of total)
ival-div: 2.0ms (16.3% of total)
ival-add: 2.0ms (16.3% of total)
ival-sub: 1.0ms (8.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch116.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
8.789164814625762e-51
1.7202260402935464e-47
40.0ms
7.244582832463524e-178
5.468208032819393e-177
Results
46.0ms224×0valid
Compiler

Compiled 402 to 245 computations (39.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 35.0ms (88.2% of total)
ival-add: 2.0ms (5% of total)
ival-sub: 1.0ms (2.5% of total)
ival-div: 1.0ms (2.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.1325072664487822e-159
1.3174994299114529e-154
Results
10.0ms144×0valid
Compiler

Compiled 292 to 184 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (49.7% of total)
ival-sub: 1.0ms (16.6% of total)
ival-div: 1.0ms (16.6% of total)
ival-add: 1.0ms (16.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.1325072664487822e-159
1.3174994299114529e-154
Results
10.0ms144×0valid
Compiler

Compiled 274 to 175 computations (36.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (48.5% of total)
ival-sub: 1.0ms (16.2% of total)
ival-div: 1.0ms (16.2% of total)
ival-add: 1.0ms (16.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.1325072664487822e-159
1.3174994299114529e-154
Results
12.0ms144×0valid
Compiler

Compiled 274 to 175 computations (36.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (37.8% of total)
ival-mult: 3.0ms (37.8% of total)
ival-div: 1.0ms (12.6% of total)
ival-add: 1.0ms (12.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.1325072664487822e-159
1.3174994299114529e-154
Results
10.0ms144×0valid
Compiler

Compiled 274 to 175 computations (36.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (50.3% of total)
ival-add: 2.0ms (33.6% of total)
ival-sub: 1.0ms (16.8% of total)
ival-div: 1.0ms (16.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
1.1325072664487822e-159
1.3174994299114529e-154
Results
23.0ms144×0valid
Compiler

Compiled 184 to 130 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (49.7% of total)
ival-sub: 1.0ms (16.6% of total)
ival-div: 1.0ms (16.6% of total)
ival-add: 1.0ms (16.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.1325072664487822e-159
1.3174994299114529e-154
Results
10.0ms144×0valid
Compiler

Compiled 94 to 85 computations (9.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (50.7% of total)
ival-sub: 1.0ms (16.9% of total)
ival-div: 1.0ms (16.9% of total)
ival-add: 1.0ms (16.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify181.0ms (2%)

Algorithm
egg-herbie
Rules
160×distribute-lft-neg-in
112×unsub-neg
101×neg-mul-1
100×neg-sub0
80×cancel-sign-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0801012
11141008
21351008
31791008
42411008
53261008
64191008
75191008
86351008
97681008
109081008
1110331008
1211201008
1311591008
1411691008
1511701008
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(if (<=.f64 y #s(literal 1539823708447491/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) (fma.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal -2 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3496697184307563/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y))) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 1539823708447491/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) (fma.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal -2 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3496697184307563/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 1539823708447491/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) (/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 3496697184307563/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 5070273230198643/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.f64 (-.f64 x y) (+.f64 x (*.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))) (/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(if (<=.f64 y #s(literal 5555272689337309/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (*.f64 (/.f64 (-.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(if (<=.f64 y #s(literal 7970608641223095/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) (*.f64 (/.f64 (-.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 2656869547074365/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 8211369328907071/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 463744502762071/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(if (<=.f64 y #s(literal 1539823708447491/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) (fma.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal -2 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3496697184307563/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y))) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 1539823708447491/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) (fma.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal -2 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3496697184307563/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y y)) (-.f64 x (neg.f64 y)))) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 1539823708447491/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) (fma.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal -2 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3496697184307563/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y y)) (+.f64 x y))) (+.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 1539823708447491/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736 binary64)) (fma.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal -2 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3496697184307563/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)))
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#s(literal -1 binary64)

soundness1.6s (18.3%)

Rules
953×log1p-expm1-u
920×log1p-expm1-u
873×log1p-expm1-u
873×expm1-log1p-u
675×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022246
1405228
26659228
025310
1491286
0104725411
1307721830
036465
1124465
2359441
31034441
43108441
56376441
67046441
77496441
87830441
97898441
025187
1409158
26588158
018198
1298171
24078171
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 828 to 326 computations (60.6% saved)

preprocess197.0ms (2.2%)

Remove

(abs y)

(abs x)

Compiler

Compiled 776 to 356 computations (54.1% saved)

end0.0ms (0%)

Profiling

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