Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 3.3s)

analyze23.0ms (0.7%)

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 11 to 9 computations (18.2% saved)

sample738.0ms (22.4%)

Results
512.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 248.0ms
ival-mult: 116.0ms (46.8% of total)
ival-div: 62.0ms (25% of total)
ival-sub: 56.0ms (22.6% of total)
ival-true: 7.0ms (2.8% of total)
ival-assert: 4.0ms (1.6% of total)
...in/eval/compile.rkt:70:19: 3.0ms (1.2% of total)
Bogosity

preprocess235.0ms (7.1%)

Algorithm
1×egg-herbie
Rules
1226×fmm-def
669×div-sub
391×associate-/r*
315×distribute-rgt-in
314×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028291
189259
2341175
31787175
44076175
55501175
66266175
76410175
86458175
96532175
107597175
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 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.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 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) y))
(/.f64 (-.f64 (neg.f64 x) y) (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.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 (neg.f64 y)) (*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 y))))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 #s(literal -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 (neg.f64 y)) (*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 y))))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 #s(literal -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 (neg.f64 x) y) (*.f64 y (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (+.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.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 y x) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))

explain141.0ms (4.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
600-6(3.3247736621847546e-50 5.313775513697639e-271)(/.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/o350
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow35
/.f64(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/u190
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow19
Confusion
Predicted +Predicted -
+546
-0196
Precision
1.0
Recall
0.9
Confusion?
Predicted +Predicted MaybePredicted -
+5406
-00196
Precision?
1.0
Recall?
0.9
Freqs
test
numberfreq
0202
154
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
98.0ms512×0valid
Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (50.3% of total)
ival-sub: 3.0ms (21.6% of total)
ival-div: 3.0ms (21.6% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓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
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
11355
Stop Event
1×saturated
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)
#s(literal -1/2 binary64)
x
Outputs
(+.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)
#s(literal -1/2 binary64)
x

localize68.0ms (2%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓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
60.0ms256×0valid
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 4.0ms (65.8% of total)
ival-add: 1.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
3 → 24
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)>
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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@0
(+ (/ 1/2 y) (/ -1/2 x))
1.0ms
x
@0
(+ (/ 1/2 y) (/ -1/2 x))
0.0ms
x
@inf
(+ (/ 1/2 y) (/ -1/2 x))
0.0ms
y
@0
(/ 1/2 y)
0.0ms
y
@inf
(+ (/ 1/2 y) (/ -1/2 x))

rewrite319.0ms (9.7%)

Algorithm
1×batch-egg-rewrite
Rules
878×prod-diff
811×log1p-expm1-u
811×expm1-log1p-u
339×log-prod
275×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
113545
2210545
Stop Event
1×node limit
Counts
3 → 126
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)
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 (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 (+.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 y #s(literal -1/2 binary64))) (/.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) (fma.f64 (/.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 1/4 binary64) (pow.f64 y #s(literal 2 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 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 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.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 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.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 y #s(literal -1/2 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)))) (fma.f64 (/.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 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.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 (fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2 binary64)) y) (*.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.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 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) x))
(/.f64 (fma.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 (fma.f64 #s(literal -1 binary64) 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 x (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y #s(literal 2 binary64)) x) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 y (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) y))
(/.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 y)))
(/.f64 (fma.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 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 (*.f64 y x)))
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(/.f64 (neg.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))))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.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 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) y) x)
(pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y))) (exp.f64 (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) x))) (exp.f64 (/.f64 #s(literal 1/2 binary64) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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) x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.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) x))
(fma.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))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.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) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(*.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 (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 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y))))
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) x))))
(cbrt.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))

simplify107.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
879×div-sub
865×fmm-def
226×fma-define
201×distribute-rgt-in
197×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03024208
16454046
220324020
357674020
Stop Event
1×node limit
Counts
150 → 150
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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.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 (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 (+.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 y #s(literal -1/2 binary64))) (/.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) (fma.f64 (/.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 1/4 binary64) (pow.f64 y #s(literal 2 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 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 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.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 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.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 y #s(literal -1/2 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)))) (fma.f64 (/.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 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.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 (fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2 binary64)) y) (*.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.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 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) x))
(/.f64 (fma.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 (fma.f64 #s(literal -1 binary64) 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 x (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y #s(literal 2 binary64)) x) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 y (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) y))
(/.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 y)))
(/.f64 (fma.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 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 (*.f64 y x)))
(/.f64 (neg.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))))) (neg.f64 (fma.f64 (/.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 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.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))))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.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 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) y) x)
(pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y))) (exp.f64 (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) x))) (exp.f64 (/.f64 #s(literal 1/2 binary64) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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) x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.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) x))
(fma.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))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.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) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(*.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 (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 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y))))
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) x))))
(cbrt.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))
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 (fma.f64 y (/.f64 #s(literal -1/2 binary64) 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 (fma.f64 y (/.f64 #s(literal -1/2 binary64) 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 (fma.f64 y (/.f64 #s(literal -1/2 binary64) 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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x)
(/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x)
(/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x)
(/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) 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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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 #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 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))
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eval53.0ms (1.6%)

Compiler

Compiled 1881 to 401 computations (78.7% saved)

prune122.0ms (3.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1473150
Fresh000
Picked011
Done000
Total1474151
Accuracy
100.0%
Counts
151 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶91.0%
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
▶47.0%
(/.f64 #s(literal 1/2 binary64) y)
▶55.0%
(/.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 30 to 22 computations (26.7% saved)

simplify93.0ms (2.8%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓cost-diff128
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
Rules
498×times-frac
444×unsub-neg
435×distribute-lft-neg-in
431×distribute-rgt-neg-in
400×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
015122
126122
237122
359117
495117
5211117
6574117
72792117
85164117
97507117
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.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 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y
Outputs
(/.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 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) 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) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y

localize50.0ms (1.5%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓accuracy91.0%
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
Results
25.0ms256×0valid
Compiler

Compiled 39 to 12 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 8.0ms (72.3% of total)
ival-mult: 2.0ms (18.1% of total)
ival-sub: 1.0ms (9% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.3%)

Counts
4 → 36
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))>
Outputs
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal -1/2 binary64)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 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)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 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)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 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)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) y)>
#<alt #s(literal -1/2 binary64)>
#<alt #s(literal -1/2 binary64)>
Calls

24 calls:

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

rewrite206.0ms (6.2%)

Algorithm
1×batch-egg-rewrite
Rules
891×log1p-expm1-u
891×expm1-log1p-u
452×log-prod
179×prod-diff
161×log-div
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01283
116083
2231483
Stop Event
1×node limit
Counts
4 → 259
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 x y)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
Outputs
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 y)))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) (log.f64 (exp.f64 #s(literal -1/2 binary64))))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) #s(literal -1/2 binary64))

simplify210.0ms (6.4%)

Algorithm
1×egg-herbie
Rules
407×distribute-lft-in
351×distribute-rgt-in
242×fmm-def
204×cancel-sign-sub-inv
202×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059410763
1136010127
235189146
Stop Event
1×node limit
Counts
295 → 326
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) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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) (*.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal -1/2 binary64)
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(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) #s(literal -1/2 binary64))
Outputs
(/.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.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) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 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 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 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 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 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 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 1/2 binary64))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 1/2 binary64))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 1/2 binary64))) y)
#s(literal -1/2 binary64)
#s(literal -1/2 binary64)
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (neg.f64 (/.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 0 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
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(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))

eval86.0ms (2.6%)

Compiler

Compiled 7045 to 1117 computations (84.1% saved)

prune56.0ms (1.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3800380
Fresh000
Picked033
Done011
Total3804384
Accuracy
100.0%
Counts
384 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓91.0%
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
✓47.0%
(/.f64 #s(literal 1/2 binary64) y)
✓55.0%
(/.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 63 to 38 computations (39.7% saved)

regimes7.0ms (0.2%)

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

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
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)

regimes4.0ms (0.1%)

Counts
2 → 3
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) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal -1/2 binary64) x)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
77.7%3x
78.6%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (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:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
55.0%1x
55.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch37.0ms (1.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
3.7716161122621025e-110
6.773810789748045e-105
22.0ms
-5.319665301472823e-38
-2.2927618380993558e-41
Results
25.0ms272×0valid
Compiler

Compiled 218 to 182 computations (16.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sub: 12.0ms (66.7% of total)
ival-mult: 3.0ms (16.7% of total)
ival-div: 2.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×if-if-or-not
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02186
12786
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 -1915619426082361/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 1081317136448893/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 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 -1915619426082361/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 1081317136448893/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(if (or (<=.f64 y #s(literal -1915619426082361/766247770432944429179173513575154591809369561091801088 binary64)) (not (<=.f64 y #s(literal 1081317136448893/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)))) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) x)

soundness580.0ms (17.6%)

Rules
1226×fmm-def
669×div-sub
391×associate-/r*
315×distribute-rgt-in
314×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028291
189259
2341175
31787175
44076175
55501175
66266175
76410175
86458175
96532175
107597175
Stop Event
1×done
1×node limit
Compiler

Compiled 339 to 69 computations (79.6% saved)

preprocess141.0ms (4.3%)

Compiler

Compiled 94 to 54 computations (42.6% saved)

end0.0ms (0%)

Profiling

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