Logistic regression 2

Time bar (total: 9.3s)

analyze84.0ms (0.9%)

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
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

sample4.0s (43.3%)

Results
1.2s7166×256valid
2.5s2677×8192exit
108.0ms675×256infinite
73.0ms234×512valid
93.0ms181×1024valid
Bogosity

preprocess508.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
1540×times-frac
1328×fma-def
800×fma-neg
552×cancel-sign-sub-inv
470×swap-sqr
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(log.f64 (+.f64 1 (exp.f64 x)))
00-0-x
00-0-(*.f64 x y)
00-0-(+.f64 1 (exp.f64 x))
00-0-(exp.f64 x)
00-0-(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
00-0-y
00-0-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030234
173226
2129210
3286210
4468210
5769210
61322210
72788210
85719210
97847210
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y)))
(neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))
Compiler

Compiled 69 to 38 computations (44.9% saved)

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize49.0ms (0.5%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓100.0%
(log1p.f64 (exp.f64 x))
✓100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓100.0%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 36 to 9 computations (75% saved)

series61.0ms (0.7%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
29.0ms
x
@inf
(log1p.f64 (exp.f64 x))
23.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
3.0ms
y
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
2.0ms
y
@-inf
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
0.0ms
x
@0
(log1p.f64 (exp.f64 x))

rewrite269.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
1856×prod-diff
686×log-prod
636×log1p-expm1-u
636×expm1-log1p-u
518×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01584
118176
2245876
Stop Event
1×node limit
Counts
4 → 367
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Outputs
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x y)))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y (neg.f64 x) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 x y))) (*.f64 x y)))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(+.f64 0 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 y (*.f64 (neg.f64 x) 1)))) (fma.f64 y (*.f64 (neg.f64 x) 1) (*.f64 y (*.f64 (neg.f64 x) 1))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 y (*.f64 x -1)))) (fma.f64 y (*.f64 x -1) (*.f64 y (*.f64 x -1))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 y (*.f64 (neg.f64 x) 1)))) (fma.f64 y (*.f64 (neg.f64 x) 1) (*.f64 y (*.f64 (neg.f64 x) 1))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 y (*.f64 x -1)))) (fma.f64 y (*.f64 x -1) (*.f64 y (*.f64 x -1))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
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(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 (neg.f64 x) 1)))) (fma.f64 y (*.f64 (neg.f64 x) 1) (*.f64 y (*.f64 (neg.f64 x) 1))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 x -1)))) (fma.f64 y (*.f64 x -1) (*.f64 y (*.f64 x -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (/.f64 (pow.f64 (*.f64 x y) 3) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 (exp.f64 x) 1)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 x) y)) (+.f64 (exp.f64 x) 1)))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))

simplify194.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1190×fma-neg
812×unswap-sqr
592×distribute-lft-neg-in
558×distribute-lft-out
544×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052413975
1125313601
2361913342
Stop Event
1×node limit
Counts
439 → 261
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x y)))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y (neg.f64 x) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 x y))) (*.f64 x y)))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
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(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 x y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 x y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) 3))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 x y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 x y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) 3))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x y)))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
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(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 x) y)) (+.f64 (exp.f64 x) 1)))
(+.f64 (log1p.f64 (exp.f64 x)) (log.f64 (/.f64 1 (pow.f64 (exp.f64 x) y))))
(-.f64 (log1p.f64 (exp.f64 x)) (log.f64 (pow.f64 (exp.f64 x) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (log.f64 (exp.f64 x))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1) 1))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1/3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))

eval79.0ms (0.9%)

Compiler

Compiled 6100 to 2113 computations (65.4% saved)

prune48.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3026308
Fresh000
Picked112
Done000
Total3037310
Accuracy
100.0%
Counts
310 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.5%
(fma.f64 x (neg.f64 y) (log.f64 2))
▶99.3%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
✓100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶91.5%
(-.f64 (log.f64 2) (*.f64 x y))
▶81.8%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶76.5%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
▶53.4%
(*.f64 y (neg.f64 x))
Compiler

Compiled 129 to 98 computations (24% saved)

localize556.0ms (6%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
✓100.0%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
✓100.0%
(*.f64 x (-.f64 1/2 y))
✓100.0%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓100.0%
(-.f64 (log.f64 2) (*.f64 x y))
✓100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓100.0%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
✓100.0%
(+.f64 1 (exp.f64 x))
✓98.7%
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
Compiler

Compiled 132 to 81 computations (38.6% saved)

series73.0ms (0.8%)

Counts
9 → 135
Calls

45 calls:

TimeVariablePointExpression
34.0ms
x
@-inf
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
17.0ms
x
@inf
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms
y
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
3.0ms
x
@-inf
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
3.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))

rewrite225.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
794×expm1-udef
792×log1p-udef
372×associate-*r*
218×associate-*l*
214×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028241
1457213
26863213
Stop Event
1×node limit
Counts
9 → 294
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
Outputs
(+.f64 0 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) 1)
(*.f64 1 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (exp.f64 1) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 2) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2 (*.f64 x (neg.f64 y)))
(fma.f64 2 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
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(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 1 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (-.f64 (fma.f64 x 1/8 1/2) y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2) (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) x) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) x) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (*.f64 x 1/8) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (*.f64 x 1/8) x (*.f64 x (-.f64 1/2 y)))

simplify282.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1130×log-prod
960×fma-def
812×associate-*r*
716×associate-*l*
392×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071918430
1178015689
2723515683
Stop Event
1×node limit
Counts
429 → 439
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (*.f64 3 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (*.f64 3 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))))))) (+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4))))))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (+.f64 1/2 (*.f64 1/8 x)))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 0 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) 1)
(*.f64 1 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 1 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))
(*.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 1 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (-.f64 (fma.f64 x 1/8 1/2) y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2) (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) x) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) x) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (*.f64 x 1/8) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (*.f64 x 1/8) x (*.f64 x (-.f64 1/2 y)))
Outputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 x 4))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))) (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) 1/8 (/.f64 x 2)) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (*.f64 3 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (*.f64 3 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2)))))) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))) (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (/.f64 x 4) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32)) (*.f64 (pow.f64 x 2) 1/16))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 2 (+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 2 (log.f64 (sqrt.f64 2))))
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(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 (-.f64 (fma.f64 x 1/8 1/2) y) x (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2) (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 1)
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (*.f64 (pow.f64 x 2) 1/8) 3)) (+.f64 (*.f64 1/64 (*.f64 (pow.f64 x 2) (pow.f64 x 2))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 (pow.f64 x 2) 1/8)))))
(/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 x 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (fma.f64 1/64 (pow.f64 x 4) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (*.f64 -1/8 (*.f64 (pow.f64 x 3) (-.f64 1/2 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (*.f64 1/64 (*.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (*.f64 (pow.f64 x 2) 1/8) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 x 4)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (fma.f64 (pow.f64 x 2) 1/8 (*.f64 x (neg.f64 (-.f64 1/2 y)))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 2) 1/64 (*.f64 (-.f64 1/2 y) (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))) (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3))))
(/.f64 x (/.f64 (fma.f64 (-.f64 1/2 y) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/64)) (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) (/.f64 (+.f64 y (fma.f64 x 1/8 -1/2)) x))
(*.f64 (/.f64 x (+.f64 y (fma.f64 x 1/8 -1/2))) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) x) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 2) 1/64 (*.f64 (-.f64 1/2 y) (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))) (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3))))
(/.f64 x (/.f64 (fma.f64 (-.f64 1/2 y) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/64)) (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) x) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) (/.f64 (+.f64 y (fma.f64 x 1/8 -1/2)) x))
(*.f64 (/.f64 x (+.f64 y (fma.f64 x 1/8 -1/2))) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)))
(pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 1)
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3)
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) 1/3)
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2)
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))
(fabs.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(fma.f64 x (*.f64 x 1/8) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(fma.f64 (*.f64 x 1/8) x (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))

eval205.0ms (2.2%)

Compiler

Compiled 8275 to 5352 computations (35.3% saved)

prune83.0ms (0.9%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New4318439
Fresh011
Picked235
Done101
Total43412446
Accuracy
100.0%
Counts
446 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶91.5%
(fma.f64 x (neg.f64 y) (log.f64 2))
63.3%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 x y))
▶90.8%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
✓91.5%
(-.f64 (log.f64 2) (*.f64 x y))
✓81.8%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
52.4%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
▶48.2%
(+.f64 (log.f64 2) (*.f64 1/2 x))
✓53.4%
(*.f64 y (neg.f64 x))
▶36.4%
(*.f64 x (-.f64 1/2 y))
47.1%
(*.f64 2 (log.f64 (sqrt.f64 2)))
▶48.7%
(log1p.f64 (exp.f64 x))
47.8%
(log.f64 2)
Compiler

Compiled 174 to 142 computations (18.4% saved)

localize150.0ms (1.6%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
✓98.4%
(log.f64 (sqrt.f64 2))
100.0%
(log1p.f64 (exp.f64 x))
✓100.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
100.0%
(*.f64 x (-.f64 1/2 y))
✓100.0%
(fma.f64 x (neg.f64 y) (log.f64 2))
Compiler

Compiled 72 to 47 computations (34.7% saved)

series7.0ms (0.1%)

Counts
4 → 51
Calls

15 calls:

TimeVariablePointExpression
3.0ms
x
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
1.0ms
y
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
0.0ms
x
@0
(fma.f64 x (neg.f64 y) (log.f64 2))
0.0ms
x
@-inf
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
0.0ms
x
@0
(+.f64 (log.f64 2) (*.f64 1/2 x))

rewrite134.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1072×log1p-expm1-u
1072×expm1-log1p-u
370×expm1-udef
368×log1p-udef
228×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02175
127963
2399063
Stop Event
1×node limit
Counts
4 → 155
Calls
Call 1
Inputs
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 (sqrt.f64 2))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
Outputs
(+.f64 (log1p.f64 1) (*.f64 x y))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x y) (fma.f64 y x (*.f64 x y))))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (*.f64 x y) 1 (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (*.f64 (fma.f64 y x (*.f64 x y)) 1))
(+.f64 (fma.f64 x y (log1p.f64 1)) (+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y))))
(+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 x y (log1p.f64 1)))
(+.f64 (*.f64 x y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 x y))
(-.f64 (log1p.f64 1) (-.f64 (*.f64 x y) (fma.f64 y x (*.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 3) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))) (/.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (fma.f64 x y (log1p.f64 1))) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 1))))
(*.f64 (fma.f64 x y (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x y (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (/.f64 1 (fma.f64 x y (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (sqrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 1)) (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (fma.f64 x y (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)) (neg.f64 (fma.f64 x y (log1p.f64 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) (pow.f64 (fma.f64 y x (*.f64 x y)) 3)) (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (-.f64 (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y))) (*.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y)))) (-.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x y) (log1p.f64 1)))
(pow.f64 (fma.f64 x y (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 1))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (+.f64 (log1p.f64 1) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (log1p.f64 1) (*.f64 -1/2 x))))
(*.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 -1/2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))) (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (log1p.f64 1) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log1p.f64 1) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))
(pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(+.f64 0 (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (log.f64 (pow.f64 2 1/4)) (log.f64 (pow.f64 2 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2)))) 1)
(*.f64 1/2 (log1p.f64 1))
(*.f64 (log.f64 (sqrt.f64 2)) 1)
(*.f64 1 (log.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (cbrt.f64 (log.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (log.f64 (sqrt.f64 2))))
(pow.f64 (log.f64 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 2))) 1))
(log1p.f64 (-.f64 (sqrt.f64 2) 1))
(+.f64 (log1p.f64 1) (*.f64 x y))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x y) (fma.f64 y x (*.f64 x y))))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (*.f64 x y) 1 (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (*.f64 (fma.f64 y x (*.f64 x y)) 1))
(+.f64 (fma.f64 x y (log1p.f64 1)) (+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y))))
(+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 x y (log1p.f64 1)))
(+.f64 (*.f64 x y) (log1p.f64 1))
(*.f64 (fma.f64 x y (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x y (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (/.f64 1 (fma.f64 x y (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (sqrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 1)) (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (fma.f64 x y (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)) (neg.f64 (fma.f64 x y (log1p.f64 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) (pow.f64 (fma.f64 y x (*.f64 x y)) 3)) (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (-.f64 (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y))) (*.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y)))) (-.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x y) (log1p.f64 1)))
(pow.f64 (fma.f64 x y (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 1))))
(fma.f64 x y (log1p.f64 1))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x y))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (*.f64 x y))
(fma.f64 1 (log1p.f64 1) (*.f64 x y))
(fma.f64 1 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 1))) (fma.f64 y x (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (fma.f64 y x (*.f64 x y)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x y))

simplify104.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1012×unswap-sqr
908×distribute-lft-in
888×distribute-rgt-in
662×cancel-sign-sub-inv
518×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02706926
16006426
223736078
Stop Event
1×node limit
Counts
206 → 156
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (log1p.f64 1) (*.f64 x y))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x y) (fma.f64 y x (*.f64 x y))))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (*.f64 x y) 1 (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (*.f64 (fma.f64 y x (*.f64 x y)) 1))
(+.f64 (fma.f64 x y (log1p.f64 1)) (+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y))))
(+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 x y (log1p.f64 1)))
(+.f64 (*.f64 x y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 x y))
(-.f64 (log1p.f64 1) (-.f64 (*.f64 x y) (fma.f64 y x (*.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 3) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))) (/.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (fma.f64 x y (log1p.f64 1))) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 1))))
(*.f64 (fma.f64 x y (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x y (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (/.f64 1 (fma.f64 x y (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (sqrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 1)) (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (fma.f64 x y (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)) (neg.f64 (fma.f64 x y (log1p.f64 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) (pow.f64 (fma.f64 y x (*.f64 x y)) 3)) (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (-.f64 (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y))) (*.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y)))) (-.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x y) (log1p.f64 1)))
(pow.f64 (fma.f64 x y (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 1))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (+.f64 (log1p.f64 1) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (log1p.f64 1) (*.f64 -1/2 x))))
(*.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 -1/2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))) (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (log1p.f64 1) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log1p.f64 1) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))
(pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(+.f64 0 (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (log.f64 (pow.f64 2 1/4)) (log.f64 (pow.f64 2 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2)))) 1)
(*.f64 1/2 (log1p.f64 1))
(*.f64 (log.f64 (sqrt.f64 2)) 1)
(*.f64 1 (log.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (cbrt.f64 (log.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (log.f64 (sqrt.f64 2))))
(pow.f64 (log.f64 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 2))) 1))
(log1p.f64 (-.f64 (sqrt.f64 2) 1))
(+.f64 (log1p.f64 1) (*.f64 x y))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x y) (fma.f64 y x (*.f64 x y))))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (*.f64 x y) 1 (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 1)) (*.f64 (fma.f64 y x (*.f64 x y)) 1))
(+.f64 (fma.f64 x y (log1p.f64 1)) (+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y))))
(+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 x y (log1p.f64 1)))
(+.f64 (*.f64 x y) (log1p.f64 1))
(*.f64 (fma.f64 x y (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x y (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (/.f64 1 (fma.f64 x y (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (sqrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 1)) (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (fma.f64 x y (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)) (neg.f64 (fma.f64 x y (log1p.f64 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) (pow.f64 (fma.f64 y x (*.f64 x y)) 3)) (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (-.f64 (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y))) (*.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y)))) (-.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x y) (log1p.f64 1)))
(pow.f64 (fma.f64 x y (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 1))))
(fma.f64 x y (log1p.f64 1))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x y))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (*.f64 x y))
(fma.f64 1 (log1p.f64 1) (*.f64 x y))
(fma.f64 1 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 1))) (fma.f64 y x (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (fma.f64 y x (*.f64 x y)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x y))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 -1 (*.f64 x y) (*.f64 2 (log.f64 (sqrt.f64 2))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 2))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 1))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 1))) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)) (neg.f64 (fma.f64 x y (log1p.f64 1))))
(fma.f64 x y (log1p.f64 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) (pow.f64 (fma.f64 y x (*.f64 x y)) 3)) (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (-.f64 (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y))) (*.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) (pow.f64 (fma.f64 y x (*.f64 x y)) 3)) (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (*.f64 (fma.f64 y x (*.f64 x y)) (-.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 x y (log1p.f64 1))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) (pow.f64 (*.f64 2 (*.f64 x y)) 3)) (fma.f64 (*.f64 2 (*.f64 x y)) (-.f64 (*.f64 2 (*.f64 x y)) (fma.f64 x y (log1p.f64 1))) (pow.f64 (fma.f64 x y (log1p.f64 1)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) (*.f64 8 (pow.f64 (*.f64 x y) 3))) (-.f64 (*.f64 4 (pow.f64 (*.f64 x y) 2)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 (log1p.f64 1) x) y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (neg.f64 (log1p.f64 1))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 (log1p.f64 1) x) y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (fma.f64 x y (neg.f64 (log1p.f64 1))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (*.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 y x (*.f64 x y)))) (-.f64 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (*.f64 (*.f64 2 (*.f64 x y)) (*.f64 2 (*.f64 x y)))) (-.f64 (fma.f64 x y (log1p.f64 1)) (*.f64 2 (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2) (*.f64 4 (pow.f64 (*.f64 x y) 2))) (-.f64 (log1p.f64 1) (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x y) (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x y (neg.f64 (log1p.f64 1))))
(pow.f64 (fma.f64 x y (log1p.f64 1)) 1)
(fma.f64 x y (log1p.f64 1))
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 3)
(fma.f64 x y (log1p.f64 1))
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) 1/3)
(fma.f64 x y (log1p.f64 1))
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) 2)
(fma.f64 x y (log1p.f64 1))
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2))
(fma.f64 x y (log1p.f64 1))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) y)))
(+.f64 (log.f64 2) (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 1)))))
(fma.f64 x y (log1p.f64 1))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3))
(fma.f64 x y (log1p.f64 1))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1))))
(fma.f64 x y (log1p.f64 1))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 1))))
(fma.f64 x y (log1p.f64 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 1))) 1))
(fma.f64 x y (log1p.f64 1))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 1))))
(fma.f64 x y (log1p.f64 1))
(fma.f64 x y (log1p.f64 1))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x y))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (*.f64 x y))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x y))
(fma.f64 1 (log1p.f64 1) (*.f64 x y))
(fma.f64 x y (log1p.f64 1))
(fma.f64 1 (fma.f64 x y (log1p.f64 1)) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 x y (log1p.f64 1)))
(+.f64 (*.f64 2 (*.f64 x y)) (fma.f64 x y (log1p.f64 1)))
(+.f64 (log1p.f64 1) (*.f64 (*.f64 x y) 3))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x y))
(fma.f64 x y (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 1))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 x y (log1p.f64 1)))
(+.f64 (*.f64 2 (*.f64 x y)) (fma.f64 x y (log1p.f64 1)))
(+.f64 (log1p.f64 1) (*.f64 (*.f64 x y) 3))
(fma.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 x y (log1p.f64 1)))
(+.f64 (*.f64 2 (*.f64 x y)) (fma.f64 x y (log1p.f64 1)))
(+.f64 (log1p.f64 1) (*.f64 (*.f64 x y) 3))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x y))
(fma.f64 x y (log1p.f64 1))

eval69.0ms (0.7%)

Compiler

Compiled 2895 to 1988 computations (31.3% saved)

prune38.0ms (0.4%)

Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New2272229
Fresh134
Picked055
Done033
Total22813241
Accuracy
100.0%
Counts
241 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓91.5%
(fma.f64 x (neg.f64 y) (log.f64 2))
▶63.3%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 x y))
✓90.8%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
✓91.5%
(-.f64 (log.f64 2) (*.f64 x y))
✓81.8%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶52.4%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
✓48.2%
(+.f64 (log.f64 2) (*.f64 1/2 x))
✓53.4%
(*.f64 y (neg.f64 x))
✓36.4%
(*.f64 x (-.f64 1/2 y))
▶3.8%
(*.f64 x 1/2)
▶47.1%
(*.f64 2 (log.f64 (sqrt.f64 2)))
✓48.7%
(log1p.f64 (exp.f64 x))
▶47.8%
(log.f64 2)
Compiler

Compiled 145 to 119 computations (17.9% saved)

localize165.0ms (1.8%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
99.0%
(log.f64 (sqrt.f64 2))
✓100.0%
(*.f64 x (+.f64 1/2 (*.f64 x 1/8)))
✓100.0%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
✓100.0%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 x y))
✓100.0%
(sqrt.f64 (+.f64 2 x))
✓99.0%
(log.f64 (sqrt.f64 (+.f64 2 x)))
Compiler

Compiled 89 to 68 computations (23.6% saved)

series11.0ms (0.1%)

Counts
5 → 50
Calls

18 calls:

TimeVariablePointExpression
4.0ms
y
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 x y))
1.0ms
x
@inf
(log.f64 (sqrt.f64 (+.f64 2 x)))
1.0ms
x
@-inf
(log.f64 (sqrt.f64 (+.f64 2 x)))
1.0ms
x
@0
(log.f64 (sqrt.f64 (+.f64 2 x)))
0.0ms
x
@inf
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 x y))

rewrite162.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1076×log1p-expm1-u
558×expm1-udef
556×log1p-udef
494×expm1-log1p-u
278×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022134
1327112
24713112
Stop Event
1×node limit
Counts
5 → 158
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(*.f64 x (+.f64 1/2 (*.f64 x 1/8)))
Outputs
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 2 x) 1/4)) (log.f64 (pow.f64 (+.f64 2 x) 1/4)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 x))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) 1)
(*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 1/2 (log.f64 (+.f64 2 x)))
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (log.f64 (+.f64 2 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(*.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2))
(log.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 2 (*.f64 x (neg.f64 y)))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (/.f64 1 (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)))) (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 (log1p.f64 1) x) (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))) (neg.f64 (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 (fma.f64 x 1/8 1/2) x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log1p.f64 1))
(+.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x 1/2))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (*.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2)))) (-.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (*.f64 x (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512))) (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (*.f64 1/16 x)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64))) (+.f64 1/2 (*.f64 -1/8 x)))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512)) x) (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (*.f64 1/16 x)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) x) (+.f64 1/2 (*.f64 -1/8 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))

simplify125.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1238×times-frac
1058×fma-neg
702×distribute-lft-neg-in
580×fma-def
522×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04368233
110877513
240607323
Stop Event
1×node limit
Counts
208 → 238
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 4))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 6))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 6))) (+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 2 x) 1/4)) (log.f64 (pow.f64 (+.f64 2 x) 1/4)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 x))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) 1)
(*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 1/2 (log.f64 (+.f64 2 x)))
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 2 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (log.f64 (+.f64 2 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(*.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2))
(log.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 2 (*.f64 x (neg.f64 y)))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (/.f64 1 (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)))) (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 (log1p.f64 1) x) (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))) (neg.f64 (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 (fma.f64 x 1/8 1/2) x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log1p.f64 1))
(+.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x 1/2))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (*.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2)))) (-.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (*.f64 x (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512))) (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (*.f64 1/16 x)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64))) (+.f64 1/2 (*.f64 -1/8 x)))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512)) x) (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (*.f64 1/16 x)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) x) (+.f64 1/2 (*.f64 -1/8 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
Outputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 (*.f64 1/2 x) (pow.f64 (sqrt.f64 2) 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 x 4))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 4))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 4)) (/.f64 (*.f64 1/2 x) (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 -1/4 (/.f64 (pow.f64 x 2) 4) (/.f64 x 4)))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 6))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
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(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (fma.f64 x 1/8 1/2) (*.f64 x (log1p.f64 1))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 x (*.f64 (fma.f64 x 1/8 1/2) (fma.f64 x (fma.f64 x 1/8 1/2) (neg.f64 (log1p.f64 1)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3)) (fma.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))) (neg.f64 (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2)) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2))))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 1)
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 3)
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3) 1/3)
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2)
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 2))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8)))
(+.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 1))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 (fma.f64 x 1/8 1/2) x (log1p.f64 1))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log1p.f64 1))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) (log1p.f64 1))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(+.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2)))) 1)
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (*.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (*.f64 1/512 (pow.f64 (pow.f64 x 2) 3))) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 (pow.f64 x 2) 1/8) (-.f64 (*.f64 (pow.f64 x 2) 1/8) (*.f64 1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 1/512 (pow.f64 (pow.f64 x 2) 3))) (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (*.f64 1/64 (pow.f64 x 4))) (*.f64 (pow.f64 x 3) 1/16)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 1/512 (pow.f64 x 6))) (fma.f64 (pow.f64 x 2) 1/4 (fma.f64 1/64 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2)))) (-.f64 (*.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 1/64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/4 (*.f64 -1/64 (pow.f64 x 4))) (fma.f64 1/2 x (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1)
(/.f64 (*.f64 x (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512))) (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (*.f64 1/16 x)))
(/.f64 x (/.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 x 1/16))) (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/512 1/8) (+.f64 1/4 (fma.f64 (pow.f64 x 2) 1/64 (*.f64 x -1/16)))) x)
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64))) (+.f64 1/2 (*.f64 -1/8 x)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (/.f64 (+.f64 1/2 (*.f64 x -1/8)) x))
(*.f64 (/.f64 x (fma.f64 x -1/8 1/2)) (+.f64 1/4 (*.f64 (pow.f64 x 2) -1/64)))
(*.f64 (/.f64 x (fma.f64 x -1/8 1/2)) (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512)) x) (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (*.f64 1/16 x)))
(/.f64 x (/.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 x 1/16))) (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/512))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/512 1/8) (+.f64 1/4 (fma.f64 (pow.f64 x 2) 1/64 (*.f64 x -1/16)))) x)
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) x) (+.f64 1/2 (*.f64 -1/8 x)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (/.f64 (+.f64 1/2 (*.f64 x -1/8)) x))
(*.f64 (/.f64 x (fma.f64 x -1/8 1/2)) (+.f64 1/4 (*.f64 (pow.f64 x 2) -1/64)))
(*.f64 (/.f64 x (fma.f64 x -1/8 1/2)) (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)))
(pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1)
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 3)
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) 1/3)
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2)
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/8 1/2)) x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2)))))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 1))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (fma.f64 x 1/8 1/2))

eval97.0ms (1.1%)

Compiler

Compiled 4619 to 3375 computations (26.9% saved)

prune46.0ms (0.5%)

Pruning

13 alts after pruning (1 fresh and 12 done)

PrunedKeptTotal
New2621263
Fresh000
Picked145
Done088
Total26313276
Accuracy
100.0%
Counts
276 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓91.5%
(fma.f64 x (neg.f64 y) (log.f64 2))
✓90.8%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
✓91.5%
(-.f64 (log.f64 2) (*.f64 x y))
✓81.8%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓52.4%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
✓48.2%
(+.f64 (log.f64 2) (*.f64 1/2 x))
✓53.4%
(*.f64 y (neg.f64 x))
✓36.4%
(*.f64 x (-.f64 1/2 y))
✓3.8%
(*.f64 x 1/2)
46.3%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
✓47.1%
(*.f64 2 (log.f64 (sqrt.f64 2)))
✓48.7%
(log1p.f64 (exp.f64 x))
✓47.8%
(log.f64 2)
Compiler

Compiled 244 to 176 computations (27.9% saved)

regimes35.0ms (0.4%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(log1p.f64 (exp.f64 x))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Calls

3 calls:

14.0ms
x
13.0ms
y
7.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes44.0ms (0.5%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(log1p.f64 (exp.f64 x))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 x y))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

26.0ms
y
11.0ms
x
6.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes27.0ms (0.3%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(log1p.f64 (exp.f64 x))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
Calls

2 calls:

17.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
99.4%2x
91.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
Outputs
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
98.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.4%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
Calls

2 calls:

22.0ms
y
10.0ms
x
Results
AccuracySegmentsBranch
69.8%5y
85.1%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
84.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
Outputs
(*.f64 y (neg.f64 x))
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
53.4%1y
53.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
Outputs
(*.f64 x 1/2)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
3.8%1y
3.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
-99.0374976472831
-1.551450537453508e-6
Results
19.0ms144×256valid
Compiler

Compiled 214 to 165 computations (22.9% saved)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
-99.0374976472831
-1.551450537453508e-6
Results
19.0ms144×256valid
Compiler

Compiled 178 to 138 computations (22.5% saved)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
-99.0374976472831
-1.551450537453508e-6
Results
20.0ms144×256valid
Compiler

Compiled 160 to 120 computations (25% saved)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-1.4546186182986726e-79
-5.05713224605693e-80
Results
11.0ms80×256valid
Compiler

Compiled 96 to 77 computations (19.8% saved)

bsearch12.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-1.4546186182986726e-79
-5.05713224605693e-80
Results
11.0ms80×256valid
Compiler

Compiled 76 to 62 computations (18.4% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
20×+-commutative
18×*-commutative
12×sub-neg
8×cancel-sign-sub-inv
6×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050353
174353
287353
391353
492353
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -2871044762448691/281474976710656) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -10) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -3504353730807743/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 1/2 x)))
(if (<=.f64 x -4672471641076991/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 y (neg.f64 x)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 x 1/2)
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -2871044762448691/281474976710656) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -2871044762448691/281474976710656) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -10) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -10) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -3504353730807743/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 1/2 x)))
(if (<=.f64 x -3504353730807743/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -3504353730807743/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -4672471641076991/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (<=.f64 x -4672471641076991/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)
Compiler

Compiled 113 to 81 computations (28.3% saved)

soundness996.0ms (10.8%)

Rules
1540×times-frac
1540×times-frac
1328×fma-def
1328×fma-def
1190×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030234
173226
2129210
3286210
4468210
5769210
61322210
72788210
85719210
97847210
030234
173226
2129210
3286210
4468210
5769210
61322210
72788210
85719210
97847210
02706926
16006426
223736078
052413975
1125313601
2361913342
052413975
1125313601
2361913342
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 241 to 158 computations (34.4% saved)

end0.0ms (0%)

preprocess136.0ms (1.5%)

Compiler

Compiled 272 to 158 computations (41.9% saved)

Profiling

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