Linear.Quaternion:$clog from linear-1.19.1.3

Time bar (total: 5.2s)

analyze24.0ms (0.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
66.7%62.4%31.2%0.1%0%6.2%0%6
75%65.6%21.9%0.1%0%12.5%0%7
80%68.7%17.2%0.1%0%14%0%8
85.7%70.2%11.7%0.1%0%18%0%9
88.9%71.8%9%0.1%0%19.1%0%10
92.3%72.6%6%0.1%0%21.3%0%11
94.1%73.4%4.6%0.1%0%22%0%12
Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sqrt: 5.0ms (48.7% of total)
ival-mult: 3.0ms (29.2% of total)
ival-add: 2.0ms (19.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (24.3%)

Results
955.0ms8256×0valid
16.0ms367×0invalid
Precisions
Click to see histograms. Total time spent on operations: 608.0ms
ival-mult: 344.0ms (56.6% of total)
ival-sqrt: 133.0ms (21.9% of total)
ival-add: 121.0ms (19.9% of total)
const: 8.0ms (1.3% of total)
backward-pass: 2.0ms (0.3% of total)
Bogosity

preprocess57.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
110×fma-neg
78×fma-define
30×sub-neg
18×associate--r+
17×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023170
146170
283170
3162170
4268170
5361170
6458170
7512170
8526170
9529170
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y))
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y)))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y)))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y))))
(sqrt.f64 (+.f64 (*.f64 y y) x))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y)))
(sqrt.f64 (-.f64 (*.f64 x x) y))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y)))
(neg.f64 (sqrt.f64 (fma.f64 x x y)))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) y)))
(sqrt.f64 (+.f64 (*.f64 y y) x))
(sqrt.f64 (fma.f64 y y x))
Symmetry

(abs x)

explain53.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
700-0-(sqrt.f64 (+.f64 (*.f64 x x) y))
00-0-x
00-0-(*.f64 x x)
00-0-y
00-0-(+.f64 (*.f64 x x) y)
Results
31.0ms512×0valid
Compiler

Compiled 46 to 17 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (43.8% of total)
ival-sqrt: 4.0ms (29.2% of total)
ival-add: 3.0ms (21.9% of total)
const: 1.0ms (7.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.5%
(sqrt.f64 (fma.f64 x x y))
▶74.5%
(sqrt.f64 (+.f64 (*.f64 x x) y))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x x y)
✓cost-diff0
(sqrt.f64 (fma.f64 x x y))
✓cost-diff-6272
(+.f64 (*.f64 x x) y)
✓cost-diff-6272
(sqrt.f64 (+.f64 (*.f64 x x) y))
✓cost-diff0
(*.f64 x x)
Rules
1×fma-define
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014109
115109
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
(sqrt.f64 (fma.f64 x x y))
(fma.f64 x x y)
x
y
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (fma.f64 x x y))
(+.f64 (*.f64 x x) y)
(fma.f64 x x y)
(*.f64 x x)
x
y
(sqrt.f64 (fma.f64 x x y))
(fma.f64 x x y)
x
y

localize33.0ms (0.6%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x x y)
✓accuracy74.5%
(sqrt.f64 (fma.f64 x x y))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (*.f64 x x) y)
✓accuracy74.5%
(sqrt.f64 (+.f64 (*.f64 x x) y))
Results
25.0ms256×0valid
Compiler

Compiled 30 to 8 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sqrt: 4.0ms (35.6% of total)
ival-fma: 3.0ms (26.7% of total)
ival-mult: 2.0ms (17.8% of total)
ival-add: 1.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (*.f64 x x)>
#<alt (sqrt.f64 (+.f64 (*.f64 x x) y))>
#<alt (+.f64 (*.f64 x x) y)>
#<alt (sqrt.f64 (fma.f64 x x y))>
#<alt (fma.f64 x x y)>
Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt y>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt y>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))>
Calls

27 calls:

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

rewrite322.0ms (6.3%)

Algorithm
1×batch-egg-rewrite
Rules
509×log1p-expm1-u
509×expm1-log1p-u
495×prod-diff
446×unpow-prod-down
433×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01490
112880
2146580
Stop Event
1×node limit
Counts
5 → 261
Calls
Call 1
Inputs
(*.f64 x x)
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) y)
(sqrt.f64 (fma.f64 x x y))
(fma.f64 x x y)
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (hypot.f64 x (sqrt.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (hypot.f64 x (sqrt.f64 y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 y)))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (sqrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64))) (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 x (sqrt.f64 y)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (fma.f64 x x y) #s(literal 1 binary64))
(*.f64 (fma.f64 x x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x y))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 x x y) #s(literal 1 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x y)))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x y)))
(log1p.f64 (expm1.f64 (fma.f64 x x y)))
(exp.f64 (log.f64 (fma.f64 x x y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(fma.f64 x x y)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) y)
(fma.f64 #s(literal 1 binary64) y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) y)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) y)
(+.f64 #s(literal 0 binary64) (hypot.f64 x (sqrt.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (hypot.f64 x (sqrt.f64 y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 y)))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (sqrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64))) (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 x (sqrt.f64 y)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) y)
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (fma.f64 x x y) #s(literal 1 binary64))
(*.f64 (fma.f64 x x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x y))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 x x y) #s(literal 1 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x y)))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x y)))
(log1p.f64 (expm1.f64 (fma.f64 x x y)))
(exp.f64 (log.f64 (fma.f64 x x y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))

simplify270.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
490×distribute-lft-in
466×fma-neg
456×distribute-rgt-in
351×*-commutative
301×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045112124
197911860
2272611812
3659611806
Stop Event
1×node limit
Counts
369 → 254
Calls
Call 1
Inputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
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(*.f64 #s(literal -1 binary64) x)
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x
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(pow.f64 x #s(literal 2 binary64))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
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y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
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y
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(sqrt.f64 y)
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x
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(*.f64 #s(literal -1 binary64) x)
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x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
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(sqrt.f64 y)
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y
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
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(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
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y
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y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))
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(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (fma.f64 x x y) #s(literal 1 binary64))
(*.f64 (fma.f64 x x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x y))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 x x y) #s(literal 1 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x y)))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x y)))
(log1p.f64 (expm1.f64 (fma.f64 x x y)))
(exp.f64 (log.f64 (fma.f64 x x y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
Outputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 x))
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)
(+.f64 x (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (*.f64 y (fma.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) y) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x))))
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(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(hypot.f64 x (sqrt.f64 y))
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(hypot.f64 x (sqrt.f64 y))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 3 binary64))
(hypot.f64 x (sqrt.f64 y))
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 x (sqrt.f64 y))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(hypot.f64 x (sqrt.f64 y))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64))
(hypot.f64 x (sqrt.f64 y))
(fabs.f64 (hypot.f64 x (sqrt.f64 y)))
(hypot.f64 x (sqrt.f64 y))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)))
(hypot.f64 x (sqrt.f64 y))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(hypot.f64 x (sqrt.f64 y))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 1/3 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(hypot.f64 x (sqrt.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(hypot.f64 x (sqrt.f64 y))
(+.f64 (pow.f64 x #s(literal 2 binary64)) y)
(fma.f64 x x y)
(+.f64 y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x y)
(+.f64 #s(literal 0 binary64) (fma.f64 x x y))
(fma.f64 x x y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x y))) #s(literal 1 binary64))
(fma.f64 x x y)
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (fma.f64 x x y) #s(literal 1 binary64))
(fma.f64 x x y)
(*.f64 (fma.f64 x x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 x x y)
(*.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)))
(fma.f64 x x y)
(*.f64 #s(literal 1 binary64) (fma.f64 x x y))
(fma.f64 x x y)
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)))
(fma.f64 x x y)
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)) (cbrt.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x y))
(fma.f64 x x y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x y))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x y))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(pow.f64 (fma.f64 x x y) #s(literal 1 binary64))
(fma.f64 x x y)
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(fma.f64 x x y)
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 6 binary64))
(fma.f64 x x y)
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3 binary64))
(fma.f64 x x y)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(fma.f64 x x y)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(fma.f64 x x y)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64))
(fma.f64 x x y)
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)))
(fma.f64 x x y)
(log.f64 (exp.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(log1p.f64 (expm1.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(exp.f64 (log.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)))
(fma.f64 x x y)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64)))
(fma.f64 x x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 3 binary64)))
(fma.f64 x x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(fma.f64 x x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x y)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 x x y)
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 x x y)
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(fma.f64 x x y)
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(fma.f64 x x y)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y)))))
(fma.f64 x x y)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(fma.f64 x x y)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(fma.f64 x x y)
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y)))))
(fma.f64 x x y)
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(fma.f64 x x y)
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))))
(fma.f64 x x y)

eval33.0ms (0.6%)

Compiler

Compiled 3941 to 817 computations (79.3% saved)

prune79.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2504254
Fresh000
Picked112
Done000
Total2515256
Accuracy
100.0%
Counts
256 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.0%
(hypot.f64 (sqrt.f64 y) x)
▶68.0%
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
✓74.5%
(sqrt.f64 (+.f64 (*.f64 x x) y))
▶34.1%
(sqrt.f64 y)
▶67.6%
x
Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 y)
✓cost-diff0
(hypot.f64 (sqrt.f64 y) x)
✓cost-diff-6272
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
✓cost-diff0
(sqrt.f64 y)
Rules
11×fma-define
9×*-commutative
5×associate-*l*
4×associate-/l*
4×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014115
122111
230111
344111
457111
564111
665111
Stop Event
1×saturated
Calls
Call 1
Inputs
x
(sqrt.f64 y)
y
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
x
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(hypot.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
y
x
Outputs
x
(sqrt.f64 y)
y
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
x
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
y
(hypot.f64 (sqrt.f64 y) x)
(hypot.f64 x (sqrt.f64 y))
(sqrt.f64 y)
y
x

localize40.0ms (0.8%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 y)
✓accuracy100.0%
(hypot.f64 (sqrt.f64 y) x)
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
✓accuracy100.0%
(sqrt.f64 y)
Results
20.0ms169×0valid
8.0ms87×0invalid
Compiler

Compiled 33 to 9 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-hypot: 5.0ms (36% of total)
ival-add: 3.0ms (21.6% of total)
ival-div: 2.0ms (14.4% of total)
ival-mult: 2.0ms (14.4% of total)
ival-sqrt: 2.0ms (14.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.3%)

Counts
5 → 76
Calls
Call 1
Inputs
#<alt (sqrt.f64 y)>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))>
#<alt (hypot.f64 (sqrt.f64 y) x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))>
Calls

24 calls:

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

rewrite568.0ms (11%)

Algorithm
1×batch-egg-rewrite
Rules
865×log1p-expm1-u
865×expm1-log1p-u
452×log-prod
266×fma-define
161×pow-to-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01482
116678
2233978
Stop Event
1×node limit
Counts
5 → 205
Calls
Call 1
Inputs
(sqrt.f64 y)
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(hypot.f64 (sqrt.f64 y) x)
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))) (cbrt.f64 (exp.f64 (sqrt.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 y x) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (cbrt.f64 x)))
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(exp.f64 (log.f64 (hypot.f64 (sqrt.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 (sqrt.f64 y) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 y) x))) #s(literal 2 binary64)))

simplify185.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
343×cancel-sign-sub-inv
261×distribute-lft-neg-in
259×distribute-rgt-neg-in
246×fma-define
237×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05458664
112127966
238007852
Stop Event
1×node limit
Counts
281 → 303
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
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(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
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(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
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(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
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(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
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(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
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(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(sqrt.f64 y)
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x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))) (cbrt.f64 (exp.f64 (sqrt.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
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(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
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(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/6 binary64))) #s(literal 3 binary64)))
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(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
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(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))) (/.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x))
(pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 2 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (cbrt.f64 x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) x)
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 x)) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (cbrt.f64 x)) x)
(+.f64 #s(literal 0 binary64) (hypot.f64 (sqrt.f64 y) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))) (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sqrt.f64 y) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 y) x))
(*.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)))
(*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 y) x)) (sqrt.f64 (hypot.f64 (sqrt.f64 y) x)))
(pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 x x y))
(log.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sqrt.f64 y) x))))
(cbrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x)))
(log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 y) x)))
(exp.f64 (log.f64 (hypot.f64 (sqrt.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 (sqrt.f64 y) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 y) x))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
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(pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 3 binary64))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(pow.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(pow.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (+.f64 x (*.f64 y (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) x))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (exp.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (exp.f64 x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(exp.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 3 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1/3 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 2 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (cbrt.f64 x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) x) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (cbrt.f64 x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(+.f64 #s(literal 0 binary64) (hypot.f64 (sqrt.f64 y) x))
(hypot.f64 (sqrt.f64 y) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))) (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x))) #s(literal 1 binary64))
(hypot.f64 (sqrt.f64 y) x)
(*.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 1 binary64))
(hypot.f64 (sqrt.f64 y) x)
(*.f64 (hypot.f64 (sqrt.f64 y) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(hypot.f64 (sqrt.f64 y) x)
(*.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 y) x))
(hypot.f64 (sqrt.f64 y) x)
(*.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)))
(*.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 y) x)) (sqrt.f64 (hypot.f64 (sqrt.f64 y) x)))
(hypot.f64 (sqrt.f64 y) x)
(pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 1 binary64))
(hypot.f64 (sqrt.f64 y) x)
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(hypot.f64 (sqrt.f64 y) x)
(pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 3 binary64))
(hypot.f64 (sqrt.f64 y) x)
(pow.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 (sqrt.f64 y) x)
(pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 2 binary64))
(hypot.f64 (sqrt.f64 y) x)
(sqrt.f64 (fma.f64 x x y))
(hypot.f64 (sqrt.f64 y) x)
(log.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x)))
(hypot.f64 (sqrt.f64 y) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sqrt.f64 y) x))))
(hypot.f64 (sqrt.f64 y) x)
(cbrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 3 binary64)))
(hypot.f64 (sqrt.f64 y) x)
(expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x)))
(hypot.f64 (sqrt.f64 y) x)
(log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 y) x)))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (log.f64 (hypot.f64 (sqrt.f64 y) x)))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 1 binary64)))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x))) #s(literal 3 binary64)))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 (sqrt.f64 y) x))) #s(literal 1/3 binary64)))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 y) x))) #s(literal 2 binary64)))
(hypot.f64 (sqrt.f64 y) x)

eval45.0ms (0.9%)

Compiler

Compiled 4656 to 883 computations (81% saved)

prune105.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3372339
Fresh000
Picked134
Done011
Total3386344
Accuracy
100.0%
Counts
344 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.0%
(hypot.f64 (sqrt.f64 y) x)
▶68.0%
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
▶68.0%
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
✓74.5%
(sqrt.f64 (+.f64 (*.f64 x x) y))
✓34.1%
(sqrt.f64 y)
✓67.6%
x
Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify67.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓cost-diff-6272
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
Rules
4×fma-define
3×*-commutative
2×+-commutative
1×associate-/l*
1×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014135
119127
224127
326127
428127
529127
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
x
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
x
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(literal 1/2 binary64)
(/.f64 x y)
y
Outputs
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
x
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 x (/.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
x
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
#s(literal 1/2 binary64)
(/.f64 x y)
y

localize41.0ms (0.8%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
✓accuracy98.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
✓accuracy99.6%
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
Results
25.0ms256×0valid
Compiler

Compiled 39 to 10 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 6.0ms (54.8% of total)
ival-add: 3.0ms (27.4% of total)
ival-mult: 2.0ms (18.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
6 → 96
Calls
Call 1
Inputs
#<alt (*.f64 y (/.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
Calls

33 calls:

TimeVariablePointExpression
3.0ms
y
@0
(/ x y)
0.0ms
y
@-inf
(/ x y)
0.0ms
x
@-inf
(/ x y)
0.0ms
x
@inf
(/ 1/2 x)
0.0ms
x
@0
(/ x y)

rewrite148.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
883×log1p-expm1-u
883×expm1-log1p-u
440×log-prod
246×fma-define
191×log-div
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014117
1212109
22497109
Stop Event
1×node limit
Counts
6 → 304
Calls
Call 1
Inputs
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 x y)
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
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(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)))
(pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 2 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) x)
(fma.f64 (*.f64 y (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y) x)

simplify152.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
466×fma-neg
424×distribute-lft-in
310×distribute-lft-neg-in
296×exp-prod
289×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044910599
191810455
2332710275
Stop Event
1×node limit
Counts
400 → 247
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
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(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
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(pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)))
(pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 2 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) x)
(fma.f64 (*.f64 y (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y) x)
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
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(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (*.f64 y (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 y (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)

eval29.0ms (0.6%)

Compiler

Compiled 3007 to 744 computations (75.3% saved)

prune107.0ms (2.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New2452247
Fresh000
Picked022
Done044
Total2458253
Accuracy
100.0%
Counts
253 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.0%
(hypot.f64 (sqrt.f64 y) x)
▶68.0%
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
✓68.0%
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
▶68.0%
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
✓68.0%
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
✓74.5%
(sqrt.f64 (+.f64 (*.f64 x x) y))
✓34.1%
(sqrt.f64 y)
✓67.6%
x
Compiler

Compiled 61 to 42 computations (31.1% saved)

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6144
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff128
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
✓cost-diff-6144
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓cost-diff128
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
Rules
7×fma-define
4×*-commutative
4×times-frac
4×associate-/r*
3×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016187
130149
243149
363149
468149
569149
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
x
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
x
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
Outputs
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
(+.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
x
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) y)
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
x
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) y)
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y

localize47.0ms (0.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
✓accuracy99.6%
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓accuracy98.7%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
Results
32.0ms256×0valid
Compiler

Compiled 57 to 12 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 10.0ms (66.4% of total)
ival-add: 3.0ms (19.9% of total)
ival-mult: 2.0ms (13.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.2%)

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

33 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* (/ 1 y) x)
0.0ms
y
@-inf
(/ 1 y)
0.0ms
y
@0
(/ 1 y)
0.0ms
x
@-inf
(+ x (/ 1/2 (* (/ 1 y) x)))
0.0ms
y
@-inf
(+ x (/ 1/2 (* (/ 1 y) x)))

rewrite168.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
1039×log1p-expm1-u
953×prod-diff
664×expm1-log1p-u
87×add-exp-log
87×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016117
1246109
23051109
Stop Event
1×node limit
Counts
6 → 211
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)))
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(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(*.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))

simplify234.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
578×associate-*l/
526×exp-prod
483×fma-define
478×associate-/r*
322×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02988699
16578447
219158239
374888239
Stop Event
1×node limit
Counts
331 → 158
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
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(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
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(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
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(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)

eval33.0ms (0.6%)

Compiler

Compiled 2852 to 707 computations (75.2% saved)

prune31.0ms (0.6%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New2191220
Fresh000
Picked022
Done066
Total2199228
Accuracy
100.0%
Counts
228 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.0%
(hypot.f64 (sqrt.f64 y) x)
✓68.0%
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
✓68.0%
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
✓68.0%
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
68.0%
(+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
✓68.0%
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
✓74.5%
(sqrt.f64 (+.f64 (*.f64 x x) y))
✓34.1%
(sqrt.f64 y)
✓67.6%
x
Compiler

Compiled 144 to 85 computations (41% saved)

regimes24.0ms (0.5%)

Counts
11 → 2
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
(sqrt.f64 y)
(sqrt.f64 (+.f64 (*.f64 x x) y))
(hypot.f64 (sqrt.f64 y) x)
(sqrt.f64 (fma.f64 x x y))
Outputs
(sqrt.f64 (fma.f64 x x y))
x
Calls

5 calls:

6.0ms
(*.f64 x x)
5.0ms
x
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
4.0ms
(+.f64 (*.f64 x x) y)
4.0ms
y
Results
AccuracySegmentsBranch
100.0%2x
99.7%2y
100.0%2(sqrt.f64 (+.f64 (*.f64 x x) y))
100.0%2(+.f64 (*.f64 x x) y)
100.0%2(*.f64 x x)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes16.0ms (0.3%)

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

4 calls:

5.0ms
x
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
4.0ms
(+.f64 (*.f64 x x) y)
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%2x
100.0%2(sqrt.f64 (+.f64 (*.f64 x x) y))
100.0%2(+.f64 (*.f64 x x) y)
100.0%2(*.f64 x x)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes7.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
(sqrt.f64 y)
Outputs
(sqrt.f64 y)
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
77.6%2y
86.5%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))))
Outputs
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
68.0%1y
68.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes264.0ms (5.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

263.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
67.6%1x
67.6%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.372427295159445e+269
2.001265083335184e+272
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.372427295159445e+269
2.001265083335184e+272
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch12.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.2878934730631218e-71
5.4190426377849537e-70
Results
5.0ms112×0valid
1.0ms27×0invalid
Compiler

Compiled 118 to 86 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 1.0ms (31.9% of total)
ival-mult: 1.0ms (31.9% of total)
ival-sqrt: 1.0ms (31.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029178
132178
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 x x) #s(literal 500000000000000023376909442728063994594802715665205143420682436372008219697277947305184129090151668469538444067022475144663084092331215165737156638708489908193694639932318967793498760119176155511330039146864335692596466630531151717376319013390688774370983942319641722880 binary64)) (sqrt.f64 (fma.f64 x x y)) x)
(if (<=.f64 (*.f64 x x) #s(literal 500000000000000023376909442728063994594802715665205143420682436372008219697277947305184129090151668469538444067022475144663084092331215165737156638708489908193694639932318967793498760119176155511330039146864335692596466630531151717376319013390688774370983942319641722880 binary64)) (sqrt.f64 (+.f64 (*.f64 x x) y)) x)
(if (<=.f64 x #s(literal 5284059386853983/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
x
Outputs
(if (<=.f64 (*.f64 x x) #s(literal 500000000000000023376909442728063994594802715665205143420682436372008219697277947305184129090151668469538444067022475144663084092331215165737156638708489908193694639932318967793498760119176155511330039146864335692596466630531151717376319013390688774370983942319641722880 binary64)) (sqrt.f64 (fma.f64 x x y)) x)
(if (<=.f64 (*.f64 x x) #s(literal 500000000000000023376909442728063994594802715665205143420682436372008219697277947305184129090151668469538444067022475144663084092331215165737156638708489908193694639932318967793498760119176155511330039146864335692596466630531151717376319013390688774370983942319641722880 binary64)) (sqrt.f64 (+.f64 (*.f64 x x) y)) x)
(if (<=.f64 x #s(literal 5284059386853983/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
x

soundness575.0ms (11.1%)

Rules
490×distribute-lft-in
466×fma-neg
456×distribute-rgt-in
351×*-commutative
343×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045112124
197911860
2272611812
3659611806
023170
146170
283170
3162170
4268170
5361170
6458170
7512170
8526170
9529170
05458664
112127966
238007852
Stop Event
1×fuel
1×node limit
1×saturated
1×node limit
Compiler

Compiled 107 to 49 computations (54.2% saved)

preprocess51.0ms (1%)

Compiler

Compiled 230 to 112 computations (51.3% saved)

end0.0ms (0%)

Profiling

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