Linear.Projection:inversePerspective from linear-1.19.1.3, C

Time bar (total: 6.7s)

analyze161.0ms (2.4%)

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
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (54.4% of total)
ival-div: 2.0ms (21.8% of total)
ival-add: 2.0ms (21.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.6s (24.3%)

Results
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 751.0ms
ival-mult: 322.0ms (42.9% of total)
ival-div: 208.0ms (27.7% of total)
ival-add: 207.0ms (27.6% of total)
const: 12.0ms (1.6% of total)
backward-pass: 2.0ms (0.3% of total)
Bogosity

preprocess96.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
895×div-sub
416×distribute-rgt-in
416×distribute-lft-in
309×sub-neg
289×fma-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028283
174259
2222259
3874235
42917193
57016193
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (+.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y))
(/.f64 (+.f64 x (neg.f64 y)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y)))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))))
(/.f64 (+.f64 y x) (*.f64 (*.f64 y #s(literal 2 binary64)) x))
Outputs
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 (+.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y))
(/.f64 (+.f64 y (neg.f64 x)) (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 y x) (*.f64 x y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (+.f64 x (neg.f64 y)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y)))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))))
(/.f64 (+.f64 y (neg.f64 x)) (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 y x) (*.f64 x y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (+.f64 y x) (*.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))))
Symmetry

(sort x y)

explain112.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
650-0-(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(+.f64 x y)
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/o370
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow37
/.f64(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/u280
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow28
Confusion
Predicted +Predicted -
+650
-0191
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6500
-00191
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0191
165
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
39.0ms512×0valid
Compiler

Compiled 74 to 30 computations (59.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (43% of total)
ival-div: 6.0ms (32.3% of total)
ival-add: 3.0ms (16.1% of total)
const: 1.0ms (5.4% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 29 to 17 computations (41.4% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.9%
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
▶100.0%
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify193.0ms (2.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓cost-diff0
(+.f64 x y)
✓cost-diff128
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) y)
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff128
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
✓cost-diff128
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
Rules
979×fma-neg
802×div-sub
369×distribute-rgt-in
355×fma-define
333×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019160
132142
257142
382142
497142
5129142
6198142
7302142
8586142
91408142
103018142
114890142
125422142
135621142
145691142
156088142
166226142
177022142
187903142
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
#s(literal -1 binary64)
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 x y)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal -1 binary64)
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 x y)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize58.0ms (0.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy75.9%
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓accuracy100.0%
(/.f64 #s(literal -1/2 binary64) y)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
Results
40.0ms256×0valid
Compiler

Compiled 51 to 15 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (43.2% of total)
ival-mult: 6.0ms (37% of total)
ival-sub: 1.0ms (6.2% of total)
ival-add: 1.0ms (6.2% of total)
const: 1.0ms (6.2% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.3%)

Counts
8 → 126
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))>
#<alt (*.f64 x #s(literal -2 binary64))>
#<alt (/.f64 #s(literal -1/2 binary64) y)>
#<alt (/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 x y)>
#<alt (*.f64 (*.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 x #s(literal 2 binary64))>
Outputs
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
Calls

36 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(/ (+ x y) (* (* x 2) y))
1.0ms
x
@0
(/ (+ x y) (* (* x 2) y))
1.0ms
x
@0
(- (/ -1 (* x -2)) (/ -1/2 y))
1.0ms
y
@inf
(/ (+ x y) (* (* x 2) y))
1.0ms
x
@inf
(/ (+ x y) (* (* x 2) y))

rewrite375.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
859×log1p-expm1-u
859×expm1-log1p-u
495×fma-define
214×fma-neg
120×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
1261122
24525122
Stop Event
1×node limit
Counts
8 → 651
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
(/.f64 #s(literal -1/2 binary64) y)
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 x y)
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
Outputs
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 (/.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) y)))
(*.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) y)))
(*.f64 (fma.f64 #s(literal -1 binary64) y x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) y))
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 x y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) y) (+.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x y) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))) (/.f64 (cbrt.f64 (+.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (+.f64 x y) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 (fma.f64 #s(literal -1 binary64) y x) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (/.f64 #s(literal -1/2 binary64) x)) y)
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 y #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 y #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 y #s(literal -2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y #s(literal -2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y #s(literal -2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) y x)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))
(/.f64 (/.f64 (+.f64 x y) y) (*.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) y)) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
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(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 #s(literal -2 binary64) (*.f64 x #s(literal -1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -2 binary64)) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) y)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) y)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))

simplify488.0ms (7.3%)

Algorithm
1×egg-herbie
Rules
533×distribute-lft-neg-in
435×fma-neg
342×div-sub
312×associate-/r*
284×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068423726
1150322351
2532721458
Stop Event
1×node limit
Counts
777 → 495
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
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(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 #s(literal -2 binary64) (*.f64 x #s(literal -1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -2 binary64)) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) y)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) y)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) y)
(+.f64 x y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(+.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(+.f64 x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.f64 x y)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) y)
(+.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(neg.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) y)))
(neg.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) y)))
(neg.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) y)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(*.f64 x #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(*.f64 x #s(literal -2 binary64))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(fabs.f64 (*.f64 x #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(*.f64 x #s(literal -2 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(*.f64 x #s(literal -2 binary64))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 x #s(literal -2 binary64))
(exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 x #s(literal -2 binary64))

eval254.0ms (3.8%)

Compiler

Compiled 8487 to 1003 computations (88.2% saved)

prune65.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4905495
Fresh000
Picked202
Done000
Total4925497
Accuracy
100.0%
Counts
497 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.4%
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 y #s(literal -2 binary64)))
▶45.5%
(/.f64 #s(literal 1/2 binary64) y)
▶55.2%
(/.f64 #s(literal 1/2 binary64) x)
▶100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶47.7%
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64))))
Compiler

Compiled 94 to 62 computations (34% saved)

simplify88.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
✓cost-diff0
(sqrt.f64 (+.f64 x y))
✓cost-diff0
(/.f64 (sqrt.f64 (+.f64 x y)) x)
✓cost-diff13184
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64))))
✓cost-diff0
(*.f64 y #s(literal -2 binary64))
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 y x))
✓cost-diff128
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 y #s(literal -2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Rules
903×fma-neg
459×neg-mul-1
407×neg-sub0
374×fma-define
312×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025293
143293
292293
3174293
4301293
5561293
61241293
73003293
84281293
96850293
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 y #s(literal -2 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal -1 binary64)
(/.f64 y x)
y
x
(*.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (+.f64 x y)) x)
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
x
y
(/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(-.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal -1 binary64)
(/.f64 y x)
y
x
(*.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (sqrt.f64 (+.f64 x y)) x)
(/.f64 (sqrt.f64 (+.f64 y x)) x)
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (+.f64 y x)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)

localize173.0ms (2.6%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (+.f64 x y))
✓accuracy99.8%
(/.f64 (sqrt.f64 (+.f64 x y)) x)
✓accuracy99.4%
(/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64)))
✓accuracy93.2%
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) (/.f64 y x))
✓accuracy100.0%
(*.f64 y #s(literal -2 binary64))
✓accuracy87.4%
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 y #s(literal -2 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Results
45.0ms115×0invalid
26.0ms141×0valid
Compiler

Compiled 95 to 20 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 11.0ms (48.9% of total)
ival-mult: 5.0ms (22.2% of total)
ival-add: 3.0ms (13.3% of total)
ival-sqrt: 2.0ms (8.9% of total)
ival-sub: 1.0ms (4.4% of total)
const: 1.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

series36.0ms (0.5%)

Counts
11 → 180
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 y #s(literal -2 binary64)))>
#<alt (-.f64 #s(literal -1 binary64) (/.f64 y x))>
#<alt (/.f64 y x)>
#<alt (*.f64 y #s(literal -2 binary64))>
#<alt (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (sqrt.f64 (+.f64 x y)) x)>
#<alt (sqrt.f64 (+.f64 x y))>
#<alt (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64)))>
Outputs
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
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#<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 2 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 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (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 x (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 2 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 x (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 2 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 3 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 x (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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 #s(literal 1/32 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y)) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y)) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 y (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y))))))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (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 (*.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 (*.f64 #s(literal 1/4 binary64) (*.f64 x (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 (*.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 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (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 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 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 -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 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))))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 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)))))))))>
Calls

57 calls:

TimeVariablePointExpression
5.0ms
y
@0
(/ (sqrt (+ x y)) x)
2.0ms
x
@-inf
(/ (sqrt (+ x y)) x)
1.0ms
y
@-inf
(/ (sqrt (+ x y)) x)
1.0ms
x
@-inf
(/ (sqrt (+ x y)) (* y 2))
1.0ms
y
@inf
(/ (sqrt (+ x y)) x)

rewrite372.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
898×log1p-expm1-u
184×expm1-log1p-u
181×add-cube-cbrt
180×add-exp-log
180×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025233
1389233
26806233
Stop Event
1×node limit
Counts
11 → 403
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 y #s(literal -2 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 y x)
(*.f64 y #s(literal -2 binary64))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (+.f64 x y)) x)
(sqrt.f64 (+.f64 x y))
(/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 y x)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 y x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 y x))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 y x))))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 y x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))) y) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 y #s(literal -1/2 binary64))) (*.f64 y (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) x))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -2 binary64))) x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (+.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (+.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal -2 binary64))))
(/.f64 (+.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
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(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (+.f64 y x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (*.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (+.f64 y x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (*.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) y) #s(literal 1/2 binary64))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (*.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (*.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) y) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) y))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (*.f64 y #s(literal -2 binary64)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 y x)))) #s(literal -1 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)))
(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) #s(literal 1 binary64)))

simplify278.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
910×times-frac
556×fma-define
287×associate-*r/
280×*-commutative
267×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0112722155
1288820547
Stop Event
1×node limit
Counts
583 → 680
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) y) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) y) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) y) x)
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))
(/.f64 (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) x)
(/.f64 (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (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)))))) x)
(/.f64 (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.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 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))))) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
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(/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) y) (/.f64 (sqrt.f64 (+.f64 y x)) x)) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (+.f64 y x) x) y) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (+.f64 y x) x) #s(literal 2 binary64)) y)
(/.f64 (/.f64 (/.f64 (+.f64 y x) x) #s(literal 1 binary64)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 y x) x) (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal -2 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 y x) x) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (sqrt.f64 (*.f64 y #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 #s(literal 1/2 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 #s(literal 1/2 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 #s(literal 1/2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) x))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)) (cbrt.f64 (/.f64 (+.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) x))
(*.f64 (cbrt.f64 (+.f64 y x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 y x)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) x))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 y x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) x))
(sqrt.f64 (/.f64 (+.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 y x)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x y)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y x))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (+.f64 y x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (*.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (+.f64 y x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (*.f64 y #s(literal -2 binary64))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) y) #s(literal 1/2 binary64))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (*.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (*.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) y) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) y))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (*.f64 y #s(literal -2 binary64)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 y x)))) #s(literal -1 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)))
(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
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(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (*.f64 y #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (+.f64 y x)) (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 y x)) y) #s(literal 2 binary64))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) y) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 y x)))) y)
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) y))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) y) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 y x)))) y)
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) (/.f64 (cbrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 y #s(literal -2 binary64))))) (sqrt.f64 (*.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 y x)) y) #s(literal 2 binary64))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 y #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 y x)) (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (*.f64 y #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 y x)) (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 y x)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)))
(/.f64 (sqrt.f64 (+.f64 y x)) (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(sqrt.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (*.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 y x)) y))

eval160.0ms (2.4%)

Compiler

Compiled 19609 to 2735 computations (86.1% saved)

prune477.0ms (7.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New9371938
Fresh000
Picked145
Done000
Total9385943
Accuracy
100.0%
Counts
943 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.4%
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 y #s(literal -2 binary64)))
▶87.3%
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 y #s(literal -2 binary64)))
✓45.5%
(/.f64 #s(literal 1/2 binary64) y)
✓55.2%
(/.f64 #s(literal 1/2 binary64) x)
✓100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 43 to 32 computations (25.6% saved)

simplify187.0ms (2.8%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 x y))
✓cost-diff128
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y)))
✓cost-diff256
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 y #s(literal -2 binary64)))
Rules
835×fma-define
553×unsub-neg
538×fma-neg
538×distribute-lft-in
455×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015118
131118
27091
318591
452791
5172691
6262391
7344891
8485291
9532291
10542791
11591091
12667491
13761091
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 y #s(literal -2 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y)))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y
(*.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) x))) (*.f64 y #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(-.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 y x)
#s(literal 1 binary64)
(/.f64 x y)
x
y
(*.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)

localize45.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy100.0%
(*.f64 y #s(literal -2 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 x y))
✓accuracy87.4%
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 y #s(literal -2 binary64)))
Results
26.0ms256×0valid
Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 6.0ms (43.9% of total)
ival-mult: 6.0ms (43.9% of total)
ival-sub: 1.0ms (7.3% of total)
const: 1.0ms (7.3% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 y #s(literal -2 binary64)))>
#<alt (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 x y))>
#<alt (/.f64 x y)>
Outputs
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y x))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) y) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) y) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) y) x)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
#<alt (/.f64 y x)>
Calls

24 calls:

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

rewrite292.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
1070×log1p-expm1-u
1070×expm1-log1p-u
345×prod-diff
161×log1p-undefine
118×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01597
118979
2288579
Stop Event
1×node limit
Counts
4 → 274
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 y #s(literal -2 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
Outputs
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y)))) (sqrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal -2 binary64))) (/.f64 (sqrt.f64 (/.f64 y x)) y) (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 y x)) y)) (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal -2 binary64)) (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))))
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(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 y x))) #s(literal -1 binary64))
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(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
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(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
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(*.f64 (/.f64 y x) #s(literal 1 binary64))
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(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
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(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
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(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
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(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (/.f64 y x)))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 y) (log.f64 x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)))) (sqrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(*.f64 x (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.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)))
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(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) 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))
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(*.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 (/.f64 y x) #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))
(neg.f64 (/.f64 (neg.f64 x) y))
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(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(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)))

simplify195.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
640×fma-neg
263×div-sub
261×cube-prod
243×associate-*r/
226×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071713514
1185811168
253708941
Stop Event
1×node limit
Counts
346 → 322
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) y) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) y) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) y) x)
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y)))) (sqrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal -2 binary64))) (/.f64 (sqrt.f64 (/.f64 y x)) y) (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 y x)) y)) (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal -2 binary64)) (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 y x)))) (fma.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) y)) (/.f64 y x) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 y x))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (*.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (*.f64 y #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (*.f64 y #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (*.f64 y #s(literal -2 binary64))) (sqrt.f64 (/.f64 y x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (*.f64 y #s(literal -2 binary64)))) (sqrt.f64 (/.f64 y x)) (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (*.f64 y #s(literal -2 binary64))) (sqrt.f64 (/.f64 y x)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 y #s(literal -1 binary64))))) (fma.f64 (neg.f64 (/.f64 (/.f64 y x) #s(literal -2 binary64))) (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 y #s(literal -1 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 y (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 y (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))) (cbrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))) (cbrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))) (cbrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y)))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 y x) y)) #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 y x) y) #s(literal -1/2 binary64))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 (/.f64 y x) (cbrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (/.f64 (/.f64 y x) (cbrt.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 y x) (cbrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 (/.f64 y x) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y #s(literal -2 binary64))))))) (fma.f64 (neg.f64 (/.f64 (/.f64 y x) (sqrt.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 (/.f64 y x) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (*.f64 y #s(literal -2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (*.f64 y #s(literal -2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (*.f64 y #s(literal -2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) #s(literal -2 binary64)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) y)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 y x)) #s(literal -2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) y) (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) #s(literal -2 binary64)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) y))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) y) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal -2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 y x)) y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) y) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal -2 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal -2 binary64))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (sqrt.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 (cbrt.f64 (/.f64 y x)) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal -2 binary64)))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (*.f64 y #s(literal -2 binary64))) (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (*.f64 y #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (*.f64 y #s(literal -2 binary64))) (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 (*.f64 y #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 y (*.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 y (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 y (*.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))) (fma.f64 (neg.f64 (/.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (/.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) (fma.f64 (neg.f64 (/.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 (/.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))))
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(fma.f64 (sqrt.f64 (neg.f64 (/.f64 y x))) (sqrt.f64 (neg.f64 (/.f64 y x))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (/.f64 y x)))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 y) (log.f64 x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)))) (sqrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(*.f64 x (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.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 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) 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 (/.f64 y x) #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))
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) y)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 y (neg.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) y) x)
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) y) x)
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) y) x)
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (neg.f64 x) y) x)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y)))) (sqrt.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal -2 binary64))) (/.f64 (sqrt.f64 (/.f64 y x)) y) (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 y x)) y)) (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal -2 binary64)) (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 x y)
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(/.f64 x y)
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x y)
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(/.f64 x y)
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 x y)
(log.f64 (exp.f64 (/.f64 x y)))
(/.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(/.f64 x y)
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(/.f64 x y)
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 x y)
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (log.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 x y)

eval102.0ms (1.5%)

Compiler

Compiled 8789 to 1131 computations (87.1% saved)

prune89.0ms (1.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3440344
Fresh000
Picked011
Done044
Total3445349
Accuracy
100.0%
Counts
349 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.4%
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 y #s(literal -2 binary64)))
✓87.3%
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 y #s(literal -2 binary64)))
✓45.5%
(/.f64 #s(literal 1/2 binary64) y)
✓55.2%
(/.f64 #s(literal 1/2 binary64) x)
✓100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 111 to 64 computations (42.3% saved)

regimes9.0ms (0.1%)

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

3 calls:

3.0ms
y
3.0ms
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes3.0ms (0.1%)

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

2 calls:

2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
81.7%2x
84.2%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
55.2%1x
55.2%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch11.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
5.591312806206374e-133
2.630045051868955e-131
Results
6.0ms112×0valid
Compiler

Compiled 100 to 81 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (61.7% of total)
ival-div: 1.0ms (30.8% of total)
ival-add: 1.0ms (30.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01767
11867
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal 1248699420126397/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal 1248699420126397/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)

soundness662.0ms (9.9%)

Rules
895×div-sub
533×distribute-lft-neg-in
435×fma-neg
416×distribute-rgt-in
416×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
068423726
1150322351
2532721458
028283
174259
2222259
3874235
42917193
57016193
Stop Event
1×done
1×node limit
1×node limit
Compiler

Compiled 395 to 108 computations (72.7% saved)

preprocess41.0ms (0.6%)

Remove

(sort x y)

Compiler

Compiled 120 to 68 computations (43.3% saved)

end0.0ms (0%)

Profiling

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