Details

Time bar (total: 54.3s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.8s (3.4%)

Results
806.0ms2040×body1024valid
640.0ms4955×body256valid
245.0ms1024×body512valid
118.0ms237×body2048valid
Bogosity

preprocess1.7s (3.1%)

Algorithm
egglog
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
(-.f64 -1 (/.f64 -2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 y) -2)))))
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify521.0ms (1%)

Algorithm
egglog
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))

eval2.0ms (0%)

Compiler

Compiled 21 to 19 computations (9.5% saved)

prune9.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Accurracy
56.3%
Counts
3 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.1%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
56.2%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Compiler

Compiled 46 to 42 computations (8.7% saved)

localize34.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(pow.f64 (exp.f64 x) -2)
99.6%
(log1p.f64 (pow.f64 (exp.f64 x) -2))
96.9%
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
Compiler

Compiled 35 to 25 computations (28.6% saved)

series106.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
77.0ms
x
@inf
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
26.0ms
x
@-inf
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
2.0ms
x
@0
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
0.0ms
x
@0
(log1p.f64 (pow.f64 (exp.f64 x) -2))
0.0ms
x
@0
(pow.f64 (exp.f64 x) -2)

rewrite7.7s (14.1%)

Algorithm
batch-egg-rewrite
Counts
3 → 257
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(pow.f64 (exp.f64 x) -2)
Outputs
((-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (exp.f64 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3)) (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)) 1/3)) (exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1/3)) (+.f64 (log.f64 2) (*.f64 (log.f64 2) (neg.f64 (/.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2))))) (+.f64 (log.f64 2) (*.f64 (neg.f64 (/.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2))) (log.f64 2))) (+.f64 (log.f64 (cbrt.f64 2)) (+.f64 (log.f64 (cbrt.f64 4)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (log.f64 (sqrt.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (+.f64 (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 0) (log.f64 2)) (+.f64 (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 (cbrt.f64 2))) (log.f64 (cbrt.f64 4))) (+.f64 (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 (sqrt.f64 2))) (log.f64 (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))))) (+.f64 (log.f64 (cbrt.f64 2)) (-.f64 (log.f64 (cbrt.f64 4)) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (+.f64 (log.f64 (sqrt.f64 2)) (-.f64 (log.f64 (sqrt.f64 2)) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (+.f64 0 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2)) (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (*.f64 -1 (log.f64 1/2))) (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (*.f64 (log.f64 1/2) -1)) (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log.f64 1/2))) (+.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (log.f64 (/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (log.f64 (*.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) -1) 2)) (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3) (pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (pow.f64 (log.f64 2) 3)) (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)) 2)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (+.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2))))) (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))) (neg.f64 (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)) 2))) (/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (neg.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2/3) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)))) (cbrt.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (pow.f64 (log.f64 2) 3)) (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))) (*.f64 (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))))) (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)) 2)) (*.f64 (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)) 2) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)) 2))) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (*.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) 3) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))) (*.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))))))) (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (pow.f64 (log.f64 2) 2)) (+.f64 1 (/.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (cbrt.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))) (pow.f64 (cbrt.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) 2)) (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) 1) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (hypot.f64 (log.f64 2) (sqrt.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (hypot.f64 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(sqrt.f64 (*.f64 x -2))) (pow.f64 (exp.f64 -2) x) (pow.f64 (exp.f64 (cbrt.f64 (*.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 x -2)) 2)) (pow.f64 (exp.f64 (+.f64 x x)) (/.f64 -2 2)) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) (+.f64 2 1)) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) (+.f64 1 2)) (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 -2)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 -2 -2)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 x -2))) 2) (/.f64 (exp.f64 (*.f64 x -2)) 1) (/.f64 1 (/.f64 1 (exp.f64 (*.f64 x -2)))) (/.f64 (neg.f64 (exp.f64 (*.f64 x -2))) -1) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2) (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 x -2))))) (/.f64 (exp.f64 (*.f64 x -2)) (/.f64 1 1)) (/.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2))) (/.f64 (sqrt.f64 (exp.f64 (*.f64 x -2))) (/.f64 1 (sqrt.f64 (exp.f64 (*.f64 x -2))))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2) (cbrt.f64 (exp.f64 (*.f64 x -2)))) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (pow.f64 (cbrt.f64 (exp.f64 x)) (*.f64 2 -2))) (*.f64 1 (exp.f64 (*.f64 x -2))) (*.f64 (exp.f64 (*.f64 x -2)) 1) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 2) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 2) 2) (cbrt.f64 (exp.f64 (*.f64 x -2))))) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (*.f64 2 -2)) 1)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (*.f64 2 -2)) (pow.f64 (cbrt.f64 (exp.f64 x)) -2)) (*.f64 (exp.f64 (*.f64 x -2)) (/.f64 1 1)) (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 3)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 2)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))))) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))))) (*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 2) 2)) (*.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 1) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2) 1)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 1) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (*.f64 2 -2)) 1)) (*.f64 (/.f64 (sqrt.f64 (exp.f64 (*.f64 x -2))) 1) (/.f64 (sqrt.f64 (exp.f64 (*.f64 x -2))) 1)) (*.f64 (/.f64 1 1) (exp.f64 (*.f64 x -2))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2) 1) (/.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 1)) (*.f64 (sqrt.f64 (exp.f64 (*.f64 x -2))) (sqrt.f64 (exp.f64 (*.f64 x -2)))) (exp.f64 (*.f64 x -2)))

simplify7.0s (12.8%)

Algorithm
egglog
Counts
293 → 295
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1/3))
(+.f64 (log.f64 2) (*.f64 (log.f64 2) (neg.f64 (/.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2)))))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (/.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2))) (log.f64 2)))
(+.f64 (log.f64 (cbrt.f64 2)) (+.f64 (log.f64 (cbrt.f64 4)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (log.f64 (sqrt.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 0) (log.f64 2))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 (cbrt.f64 2))) (log.f64 (cbrt.f64 4)))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 (sqrt.f64 2))) (log.f64 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))))
(+.f64 (log.f64 (cbrt.f64 2)) (-.f64 (log.f64 (cbrt.f64 4)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (sqrt.f64 2)) (-.f64 (log.f64 (sqrt.f64 2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 0 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (*.f64 -1 (log.f64 1/2)))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (*.f64 (log.f64 1/2) -1))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log.f64 1/2)))
(+.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log.f64 (/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) -1) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (pow.f64 (log.f64 2) 3)) (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)) 2))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (+.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))) (neg.f64 (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (neg.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2/3) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)))) (cbrt.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (pow.f64 (log.f64 2) 3)) (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))) (*.f64 (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)) 2)) (*.f64 (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)) 2) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (*.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) 3) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))) (*.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (pow.f64 (log.f64 2) 2)) (+.f64 1 (/.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
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(*.f64 (/.f64 (sqrt.f64 (exp.f64 (*.f64 x -2))) 1) (/.f64 (sqrt.f64 (exp.f64 (*.f64 x -2))) 1))
(*.f64 (/.f64 1 1) (exp.f64 (*.f64 x -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2) 1) (/.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 1))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 x -2))) (sqrt.f64 (exp.f64 (*.f64 x -2))))
(exp.f64 (*.f64 x -2))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/12 (pow.f64 x 4) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/45 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2))))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2))))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2))))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (log.f64 2) (neg.f64 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1 x)))
(fma.f64 1/2 (pow.f64 x 2) (+.f64 (log.f64 2) (neg.f64 x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/2 (pow.f64 x 2) (+.f64 (log.f64 2) (+.f64 (neg.f64 x) (*.f64 -1/12 (pow.f64 x 4)))))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2)))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2)))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2)))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2)))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2)))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2)))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2)))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (pow.f64 (exp.f64 x) (neg.f64 2)))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (pow.f64 x 2) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 2 (pow.f64 x 2) (+.f64 1 (fma.f64 -2 x (*.f64 -4/3 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) (neg.f64 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) (neg.f64 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) (neg.f64 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) (neg.f64 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) (neg.f64 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) (neg.f64 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) (neg.f64 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) (neg.f64 2))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 1/3))
(+.f64 (log.f64 2) (*.f64 (log.f64 2) (neg.f64 (/.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2)))))
(*.f64 (+.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log.f64 2)) 1) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (/.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2))) (log.f64 2)))
(*.f64 (+.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log.f64 2)) 1) (log.f64 2))
(+.f64 (log.f64 (cbrt.f64 2)) (+.f64 (log.f64 (cbrt.f64 4)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(-.f64 (+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 4))) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (log.f64 (sqrt.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 2))) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 0) (log.f64 2))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 (cbrt.f64 2))) (log.f64 (cbrt.f64 4)))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 4))))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 (sqrt.f64 2))) (log.f64 (sqrt.f64 2)))
(-.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 2))) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(+.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log.f64 2) 2)))
(+.f64 (log.f64 (cbrt.f64 2)) (-.f64 (log.f64 (cbrt.f64 4)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 4))) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(+.f64 (log.f64 (sqrt.f64 2)) (-.f64 (log.f64 (sqrt.f64 2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 2))) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(+.f64 0 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (*.f64 -1 (log.f64 1/2)))
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log.f64 1/2))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (*.f64 (log.f64 1/2) -1))
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log.f64 1/2))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log.f64 1/2)))
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log.f64 1/2))
(+.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(log.f64 (/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(log.f64 (/.f64 2 (exp.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) -1) 2))
(log.f64 (/.f64 2 (exp.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))))))
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3)
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) (pow.f64 (log.f64 2) 3)) (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 2)) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)) 2))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (+.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (+.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (log.f64 2))) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 2)) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))) (neg.f64 (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log.f64 2) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (neg.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 2)) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2/3) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)))) (cbrt.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))))
(/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 2/3) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)))) (cbrt.f64 (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log.f64 2) 2))))
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(pow.f64 (exp.f64 (cbrt.f64 x)) (*.f64 -2 (pow.f64 x 2/3)))
(exp.f64 (*.f64 (cbrt.f64 x) (*.f64 -2 (pow.f64 x 2/3))))
(pow.f64 (exp.f64 (*.f64 3 x)) -2/3)
(exp.f64 (*.f64 (*.f64 3 x) -2/3))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 -2 (sqrt.f64 x)))
(exp.f64 (*.f64 (sqrt.f64 x) (*.f64 -2 (sqrt.f64 x))))
(pow.f64 (E.f64) (*.f64 -2 x))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 -2 x))) (pow.f64 (cbrt.f64 (*.f64 -2 x)) 2))
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 -2) x)
(exp.f64 (*.f64 -2 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) -4)
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 (*.f64 x (cbrt.f64 -2))) (cbrt.f64 4))
(exp.f64 (*.f64 (*.f64 x (cbrt.f64 -2)) (cbrt.f64 4)))
(pow.f64 (exp.f64 x) -2)
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 (*.f64 x -6)) 1/3)
(exp.f64 (*.f64 -2 x))
(pow.f64 (cbrt.f64 (exp.f64 x)) -6)
(pow.f64 (pow.f64 (exp.f64 x) -1) 2)
(pow.f64 (exp.f64 x) (neg.f64 2))
(pow.f64 (exp.f64 (+.f64 x x)) -1)
(pow.f64 (exp.f64 x) (neg.f64 2))
(pow.f64 (exp.f64 (*.f64 -2 x)) 1)
(exp.f64 (*.f64 -2 x))
(/.f64 (neg.f64 (exp.f64 (*.f64 -2 x))) -1)
(/.f64 (exp.f64 (*.f64 -2 x)) 1)
(exp.f64 (*.f64 -2 x))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) -2/3) 1) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4) 1))
(*.f64 (exp.f64 (*.f64 x -2/3)) (pow.f64 (cbrt.f64 (exp.f64 x)) -4))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2/3)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4)) (pow.f64 (cbrt.f64 (exp.f64 x)) -4)))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 x -2/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4))) (pow.f64 (cbrt.f64 (exp.f64 x)) -4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4)) 2) (pow.f64 (exp.f64 x) -2/3)))
(*.f64 (exp.f64 (*.f64 x -2/3)) (pow.f64 (cbrt.f64 (exp.f64 x)) -4))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -2/3)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -2/3)) (pow.f64 (cbrt.f64 (exp.f64 x)) -4)))
(*.f64 (*.f64 (sqrt.f64 (exp.f64 (*.f64 x -2/3))) (sqrt.f64 (exp.f64 (*.f64 x -2/3)))) (pow.f64 (cbrt.f64 (exp.f64 x)) -4))
(*.f64 (pow.f64 (exp.f64 x) -2/3) (pow.f64 (cbrt.f64 (exp.f64 x)) -4))
(*.f64 (exp.f64 (*.f64 x -2/3)) (pow.f64 (cbrt.f64 (exp.f64 x)) -4))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -2/3)) 3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -2/3)) 3))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 x -2/3))) 3) 2)
(*.f64 (*.f64 (pow.f64 (exp.f64 x) -2/3) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4)) 2))
(*.f64 (exp.f64 (*.f64 x -2/3)) (pow.f64 (cbrt.f64 (exp.f64 x)) -4))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4) (cbrt.f64 (pow.f64 (exp.f64 x) -2/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4) (cbrt.f64 (exp.f64 (*.f64 x -2/3)))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4) (sqrt.f64 (pow.f64 (exp.f64 x) -2/3))) (sqrt.f64 (pow.f64 (exp.f64 x) -2/3)))
(*.f64 (*.f64 (sqrt.f64 (exp.f64 (*.f64 x -2/3))) (sqrt.f64 (exp.f64 (*.f64 x -2/3)))) (pow.f64 (cbrt.f64 (exp.f64 x)) -4))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) -1) 1) (/.f64 (pow.f64 (exp.f64 x) -1) 1))
(pow.f64 (exp.f64 x) (neg.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4) 1) (/.f64 (pow.f64 (exp.f64 x) -2/3) 1))
(*.f64 (exp.f64 (*.f64 x -2/3)) (pow.f64 (cbrt.f64 (exp.f64 x)) -4))
(*.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) -1))
(pow.f64 (exp.f64 x) (neg.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4) (pow.f64 (exp.f64 x) -2/3))
(*.f64 (exp.f64 (*.f64 x -2/3)) (pow.f64 (cbrt.f64 (exp.f64 x)) -4))
(*.f64 1 (exp.f64 (*.f64 -2 x)))
(exp.f64 (*.f64 -2 x))
(*.f64 (exp.f64 (*.f64 -2 x)) 1)
(exp.f64 (*.f64 -2 x))
(sqrt.f64 (pow.f64 (exp.f64 x) -4))
(exp.f64 (*.f64 -2 x))
(exp.f64 (*.f64 -2 x))
(exp.f64 (*.f64 (*.f64 x -6) 1/3))
(exp.f64 (*.f64 -2 x))
(cbrt.f64 (exp.f64 (*.f64 x -6)))
(exp.f64 (*.f64 -2 x))
(cbrt.f64 (/.f64 (exp.f64 (*.f64 x -6)) 1))
(exp.f64 (*.f64 -2 x))
(exp.f64 (*.f64 x -2))
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 x) -2)
(exp.f64 (*.f64 -2 x))
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 3)
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 (*.f64 x -6)) 1/3)
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 (*.f64 x -2)) 1)
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 (cbrt.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -2))
(exp.f64 (*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) -2)))
(pow.f64 (exp.f64 (*.f64 x 3)) (*.f64 1/3 -2))
(exp.f64 (*.f64 (*.f64 3 x) -2/3))
(pow.f64 (cbrt.f64 (exp.f64 x)) -6)
(pow.f64 (E.f64) (*.f64 x -2))
(pow.f64 (E.f64) (*.f64 -2 x))
(pow.f64 (exp.f64 (*.f64 x -2)) (*.f64 1/3 3))
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 (*.f64 x -6)) (*.f64 1/3 1))
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 (*.f64 x -2)) (*.f64 3 1/3))
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 x) (*.f64 -6 1/3))
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 (*.f64 x (cbrt.f64 -2))) (cbrt.f64 4))
(exp.f64 (*.f64 (*.f64 x (cbrt.f64 -2)) (cbrt.f64 4)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x -2))) (sqrt.f64 (*.f64 x -2)))
(pow.f64 (NAN.f64) (NAN.f64))
(pow.f64 (exp.f64 -2) x)
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 x -2)) 2))
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 (+.f64 x x)) (/.f64 -2 2))
(pow.f64 (exp.f64 x) (neg.f64 2))
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) (+.f64 2 1))
(exp.f64 (*.f64 -2 x))
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) (+.f64 1 2))
(exp.f64 (*.f64 -2 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 -2))
(exp.f64 (*.f64 -2 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 -2 -2))
(exp.f64 (*.f64 -2 x))
(pow.f64 (sqrt.f64 (exp.f64 (*.f64 x -2))) 2)
(exp.f64 (*.f64 -2 x))
(/.f64 (exp.f64 (*.f64 x -2)) 1)
(exp.f64 (*.f64 -2 x))
(/.f64 1 (/.f64 1 (exp.f64 (*.f64 x -2))))
(exp.f64 (*.f64 -2 x))
(/.f64 (neg.f64 (exp.f64 (*.f64 x -2))) -1)
(/.f64 (neg.f64 (exp.f64 (*.f64 -2 x))) -1)
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2) (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 x -2)))))
(exp.f64 (*.f64 -2 x))
(/.f64 (exp.f64 (*.f64 x -2)) (/.f64 1 1))
(exp.f64 (*.f64 -2 x))
(/.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2)))
(/.f64 (cbrt.f64 (exp.f64 (*.f64 -2 x))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -2 x))) (neg.f64 2)))
(/.f64 (sqrt.f64 (exp.f64 (*.f64 x -2))) (/.f64 1 (sqrt.f64 (exp.f64 (*.f64 x -2)))))
(exp.f64 (*.f64 -2 x))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2))
(exp.f64 (*.f64 -2 x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2) (cbrt.f64 (exp.f64 (*.f64 x -2))))
(exp.f64 (*.f64 -2 x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (pow.f64 (cbrt.f64 (exp.f64 x)) (*.f64 2 -2)))
(pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 -2 -4))
(*.f64 1 (exp.f64 (*.f64 x -2)))
(exp.f64 (*.f64 -2 x))
(*.f64 (exp.f64 (*.f64 x -2)) 1)
(exp.f64 (*.f64 -2 x))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 2) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2)))
(exp.f64 (*.f64 -2 x))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2)))
(exp.f64 (*.f64 -2 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 2) 2) (cbrt.f64 (exp.f64 (*.f64 x -2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 -2 x)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 -2 x)))) 2) 2)) (cbrt.f64 (exp.f64 (*.f64 -2 x))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (*.f64 2 -2)) 1))
(pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 -2 -4))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (*.f64 2 -2)) (pow.f64 (cbrt.f64 (exp.f64 x)) -2))
(pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 -2 -4))
(*.f64 (exp.f64 (*.f64 x -2)) (/.f64 1 1))
(exp.f64 (*.f64 -2 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 3))
(exp.f64 (*.f64 -2 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 2))
(exp.f64 (*.f64 -2 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))))) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))))
(exp.f64 (*.f64 -2 x))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 x -2)))) 2) 2))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 -2 x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 -2 x)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 -2 x)))) 2) 2)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 1) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2) 1))
(exp.f64 (*.f64 -2 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 1) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (*.f64 2 -2)) 1))
(pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 -2 -4))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 (*.f64 x -2))) 1) (/.f64 (sqrt.f64 (exp.f64 (*.f64 x -2))) 1))
(exp.f64 (*.f64 -2 x))
(*.f64 (/.f64 1 1) (exp.f64 (*.f64 x -2)))
(exp.f64 (*.f64 -2 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 2) 1) (/.f64 (cbrt.f64 (exp.f64 (*.f64 x -2))) 1))
(exp.f64 (*.f64 -2 x))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 x -2))) (sqrt.f64 (exp.f64 (*.f64 x -2))))
(exp.f64 (*.f64 -2 x))
(exp.f64 (*.f64 x -2))
(exp.f64 (*.f64 -2 x))

eval280.0ms (0.5%)

Compiler

Compiled 6167 to 5276 computations (14.4% saved)

prune308.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2932295
Fresh101
Picked101
Done000
Total2952297
Accurracy
100.0%
Counts
297 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
29.5%
(expm1.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 1/3)))
Compiler

Compiled 52 to 46 computations (11.5% saved)

localize21.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
Compiler

Compiled 21 to 15 computations (28.6% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
0.0ms
x
@inf
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
0.0ms
x
@-inf
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))

rewrite9.3s (17.1%)

Algorithm
batch-egg-rewrite
Counts
1 → 103
Calls
Call 1
Inputs
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
Outputs
((expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (+.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1) (+.f64 -1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (+.f64 -1 (*.f64 -1 (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (+.f64 -1 (*.f64 (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1)) (+.f64 (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1/2) (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1/2)) (+.f64 (*.f64 1/2 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (*.f64 1/2 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1) (pow.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3) 1/3) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 3) (/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3))) (+.f64 1 (*.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))) (/.f64 1 (/.f64 (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1))) (*.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1) (*.f64 (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1)) (*.f64 -1 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3) 1)) (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1)) (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (*.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3) 1) (/.f64 1 (-.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))) (*.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (/.f64 1 (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (*.f64 (neg.f64 (cbrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) (*.f64 (neg.f64 (+.f64 1 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (-.f64 1 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1) (*.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) 4)) (*.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (*.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (*.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1)) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)))) (cbrt.f64 (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 4))) (*.f64 (*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) (cbrt.f64 (*.f64 (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 4) (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)))) (*.f64 -1 (+.f64 1 (/.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1))) (*.f64 (cbrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)))) (*.f64 (+.f64 1 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1)) (*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))) (fma.f64 (exp.f64 (*.f64 -1/2 (pow.f64 x 2))) (exp.f64 x) -1) (fma.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1) (fma.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1) (fma.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2/3) -1) (fma.f64 -1 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (fma.f64 1 -1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (fma.f64 (exp.f64 x) (exp.f64 (*.f64 -1/2 (pow.f64 x 2))) -1) (fma.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1 -1) (fma.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2/3) (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1) (fma.f64 0 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (fma.f64 0 3 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (fma.f64 (pow.f64 (exp.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (fabs.f64 x) 2/3))) (*.f64 (pow.f64 1/4 1/3) (*.f64 x (cbrt.f64 x)))) (exp.f64 x) -1) (+.f64 -1 (*.f64 -1 (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (+.f64 (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1/2) (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1/2)) (+.f64 -1 (*.f64 (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1)) (+.f64 (*.f64 1/2 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (*.f64 1/2 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (+.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1) (+.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (*.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (/.f64 -1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (+.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (*.f64 (/.f64 -1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (+.f64 -1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (pow.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3) 1/3) (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 3) (/.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3)) (-.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (/.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3)) (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (pow.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 2)) (/.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3)) 1) (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (/.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3)) (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (/.f64 (neg.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))) (/.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 2)) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (/.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3)) (+.f64 1 (*.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))) (/.f64 (+.f64 -1 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))) (*.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (*.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) 4)) (*.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1)) (*.f64 (*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)))) (cbrt.f64 (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 4))) (*.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))) (*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) (cbrt.f64 (*.f64 (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 4) (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (*.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (+.f64 1 (/.f64 -1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)))) (*.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1) (*.f64 -1 (+.f64 1 (/.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1))) (*.f64 (+.f64 1 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1)) (*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))) (*.f64 (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1)) (*.f64 (+.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) -1) (-.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) -1)) (*.f64 (+.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) 1) (-.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) 1)) (*.f64 (cbrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)))) (*.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1) (*.f64 -1 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (fma.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1) (fma.f64 (exp.f64 (*.f64 -1/2 (pow.f64 x 2))) (exp.f64 x) -1) (fma.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1) (fma.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1 -1) (fma.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2/3) -1) (fma.f64 (exp.f64 (*.f64 -1/2 (pow.f64 x 2))) (*.f64 (exp.f64 x) 1) -1) (fma.f64 (exp.f64 x) (exp.f64 (*.f64 -1/2 (pow.f64 x 2))) -1) (fma.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) -1) (expm1.f64 (*.f64 x (fma.f64 x -1/2 1))))

simplify1.4s (2.5%)

Algorithm
egglog
Counts
115 → 83
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) x))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/20 (pow.f64 x 5)) x)))
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(+.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1)
(+.f64 -1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(+.f64 -1 (*.f64 -1 (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(+.f64 -1 (*.f64 (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1))
(+.f64 (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1/2) (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1/2))
(+.f64 (*.f64 1/2 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (*.f64 1/2 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(pow.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 3)
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3))) (+.f64 1 (*.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1)))
(*.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1)
(*.f64 (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1))
(*.f64 -1 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3) 1)) (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1)) (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(*.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3) 1) (/.f64 1 (-.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (/.f64 1 (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(*.f64 (neg.f64 (cbrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)))
(*.f64 (neg.f64 (+.f64 1 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (-.f64 1 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(*.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) 4))
(*.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (*.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)))) (cbrt.f64 (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 4)))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) (cbrt.f64 (*.f64 (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 4) (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))))
(*.f64 -1 (+.f64 1 (/.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1)))
(*.f64 (cbrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))))
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1))
(*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))))
(fma.f64 (exp.f64 (*.f64 -1/2 (pow.f64 x 2))) (exp.f64 x) -1)
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1)
(fma.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1)
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2/3) -1)
(fma.f64 -1 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(fma.f64 1 -1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 -1/2 (pow.f64 x 2))) -1)
(fma.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1 -1)
(fma.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2/3) (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1)
(fma.f64 0 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(fma.f64 0 3 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(fma.f64 (pow.f64 (exp.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (fabs.f64 x) 2/3))) (*.f64 (pow.f64 1/4 1/3) (*.f64 x (cbrt.f64 x)))) (exp.f64 x) -1)
(+.f64 -1 (*.f64 -1 (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(+.f64 (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1/2) (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1/2))
(+.f64 -1 (*.f64 (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1))
(+.f64 (*.f64 1/2 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (*.f64 1/2 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))
(+.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1)
(+.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (*.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (/.f64 -1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(+.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (*.f64 (/.f64 -1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))
(+.f64 -1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3) 1/3)
(pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 3)
(/.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3)) (-.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) 1) (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3)) (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (pow.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 2))
(/.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3)) 1) (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(/.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3)) (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))))
(/.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 2)) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))
(/.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3)) (+.f64 1 (*.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (neg.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))))
(*.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (*.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) 4))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)))) (cbrt.f64 (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 4)))
(*.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))))
(*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) (cbrt.f64 (*.f64 (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 4) (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(*.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (+.f64 1 (/.f64 -1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))))
(*.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(*.f64 -1 (+.f64 1 (/.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1)))
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1))
(*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))))
(*.f64 (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) -1) (-.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) -1))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) 1) (-.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) 1))
(*.f64 (cbrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))))
(*.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1)
(*.f64 -1 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1)
(fma.f64 (exp.f64 (*.f64 -1/2 (pow.f64 x 2))) (exp.f64 x) -1)
(fma.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1)
(fma.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1 -1)
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2/3) -1)
(fma.f64 (exp.f64 (*.f64 -1/2 (pow.f64 x 2))) (*.f64 (exp.f64 x) 1) -1)
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 -1/2 (pow.f64 x 2))) -1)
(fma.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) -1)
(expm1.f64 (*.f64 x (fma.f64 x -1/2 1)))
Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 -1/12 (pow.f64 x 4) x))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/20 (pow.f64 x 5)) x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 4) -1/12 (fma.f64 1/20 (pow.f64 x 5) x)))
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(-.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
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(*.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (*.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) 4))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 2))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)))) (cbrt.f64 (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 4)))
(cbrt.f64 (*.f64 (*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 4)))
(*.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (+.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))) (cbrt.f64 (*.f64 (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 4) (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)) (*.f64 (pow.f64 (fabs.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) 4) (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(*.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (+.f64 1 (/.f64 -1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2) (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))))
(cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2)) (*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))))
(*.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 -1 (+.f64 1 (/.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1)))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (neg.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) -1) (-.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) -1))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) 1) (-.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) 1))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (cbrt.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2))))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(*.f64 -1 (neg.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) -1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(fma.f64 (exp.f64 (*.f64 -1/2 (pow.f64 x 2))) (exp.f64 x) -1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(fma.f64 1 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) -1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(fma.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 1 -1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) 2/3) -1)
(+.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x)) (+.f64 2/3 1/3)) -1)
(fma.f64 (exp.f64 (*.f64 -1/2 (pow.f64 x 2))) (*.f64 (exp.f64 x) 1) -1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 -1/2 (pow.f64 x 2))) -1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(fma.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) (*.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 x 2) x))) 1) -1)
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(expm1.f64 (*.f64 x (fma.f64 x -1/2 1)))

eval99.0ms (0.2%)

Compiler

Compiled 1620 to 1290 computations (20.4% saved)

prune50.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done000
Total83285
Accurracy
100.0%
Counts
85 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
29.5%
(expm1.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 1/3)))
Compiler

Compiled 43 to 39 computations (9.3% saved)

localize78.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.9%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 1/3))
99.6%
(log1p.f64 (exp.f64 (*.f64 -2 x)))
99.6%
(*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 1/3)
96.9%
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
Compiler

Compiled 91 to 81 computations (11% saved)

series148.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
57.0ms
x
@inf
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
40.0ms
x
@inf
(*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 1/3)
25.0ms
x
@-inf
(*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 1/3)
23.0ms
x
@-inf
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
1.0ms
x
@0
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))

rewrite9.3s (17.1%)

Algorithm
batch-egg-rewrite
Counts
4 → 365
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 1/3)
(log1p.f64 (exp.f64 (*.f64 -2 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 1/3))
Outputs
((-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))))) (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1)) (+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) 0) (log1p.f64 1)) (+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log.f64 (cbrt.f64 2))) (log.f64 (cbrt.f64 4))) (+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log.f64 (sqrt.f64 2))) (log.f64 (sqrt.f64 2))) (+.f64 (log1p.f64 1) (*.f64 (log1p.f64 1) (/.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1)))) (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (*.f64 -1 (log.f64 1/2))) (+.f64 (log1p.f64 1) (*.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1)) (log1p.f64 1))) (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (*.f64 (log.f64 1/2) -1)) (+.f64 0 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (+.f64 (log.f64 (cbrt.f64 2)) (+.f64 (log.f64 (cbrt.f64 4)) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))))) (+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (log.f64 (sqrt.f64 2)) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))))) (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (neg.f64 (log.f64 1/2))) (+.f64 (/.f64 (pow.f64 (log1p.f64 1) 3) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2))))) (+.f64 (log.f64 (cbrt.f64 2)) (-.f64 (log.f64 (cbrt.f64 4)) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (+.f64 (log.f64 (sqrt.f64 2)) (-.f64 (log.f64 (sqrt.f64 2)) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (fabs.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) 1/3) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) 3) (pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3))) (pow.f64 (exp.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 2)) (pow.f64 (exp.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3))) 2) 3)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) (*.f64 1/6 2)) (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (*.f64 1/2 2)) (pow.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)) (cbrt.f64 1/3))) (cbrt.f64 1/9)) (pow.f64 (exp.f64 (sqrt.f64 1/3)) (*.f64 (sqrt.f64 1/3) (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)))) (pow.f64 (exp.f64 (cbrt.f64 1/3)) (*.f64 (cbrt.f64 1/9) (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (+.f64 1 2)) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (+.f64 2 1)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) (+.f64 1/6 1/6)) (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (+.f64 1/2 1/2)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) (*.f64 2 1/6)) (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (*.f64 2 1/2)) (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 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(cbrt.f64 9))) (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 2) 1/2) (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 1) (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3) (pow.f64 (log1p.f64 1) 3)) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2))) (pow.f64 (fma.f64 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(sqrt.f64 3))) (+.f64 (NAN.f64) 0) (+.f64 (NAN.f64) (log.f64 1/9)) (+.f64 (log.f64 (cbrt.f64 3)) (NAN.f64)) (+.f64 (log.f64 1/27) (NAN.f64)) (+.f64 (log.f64 3) (NAN.f64)) (+.f64 (log1p.f64 1) (NAN.f64)) (+.f64 (log.f64 (cbrt.f64 1/9)) (NAN.f64)) (+.f64 (log.f64 27) (NAN.f64)) (+.f64 (log.f64 (sqrt.f64 1/3)) (NAN.f64)) (+.f64 (log.f64 (cbrt.f64 1/3)) (NAN.f64)) (+.f64 (log.f64 1/3) (NAN.f64)) (+.f64 (log.f64 (cbrt.f64 9)) (NAN.f64)) (+.f64 (log.f64 9) (NAN.f64)) (+.f64 (log.f64 (sqrt.f64 3)) (NAN.f64)) (+.f64 0 (NAN.f64)) (+.f64 (log.f64 81) (NAN.f64)) (+.f64 (log.f64 1/9) (NAN.f64)) (hypot.f64 (NAN.f64) (NAN.f64)) (fabs.f64 (NAN.f64)) (pow.f64 (NAN.f64) (NAN.f64)) (pow.f64 (NAN.f64) 2) (pow.f64 (NAN.f64) 1/3) (pow.f64 (NAN.f64) 1/9) (pow.f64 (NAN.f64) 1/2) (pow.f64 (NAN.f64) 1/6) (pow.f64 (NAN.f64) 4/3) (pow.f64 (NAN.f64) 2/3) (pow.f64 (NAN.f64) 3/2) (pow.f64 (NAN.f64) 3) (pow.f64 (NAN.f64) 1) (pow.f64 (NAN.f64) (*.f64 1/6 1/6)) (pow.f64 (NAN.f64) (*.f64 1/6 2/3)) (pow.f64 (NAN.f64) (*.f64 1/6 1/3)) (pow.f64 (NAN.f64) (*.f64 1/6 2)) (pow.f64 (NAN.f64) (*.f64 1/6 4/3)))

simplify13.9s (25.5%)

Algorithm
egglog
Counts
413 → 290
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(log.f64 x)
(+.f64 (*.f64 -1/2 x) (log.f64 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (log.f64 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (log.f64 x))))
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) 0) (log1p.f64 1))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log.f64 (cbrt.f64 2))) (log.f64 (cbrt.f64 4)))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log.f64 (sqrt.f64 2))) (log.f64 (sqrt.f64 2)))
(+.f64 (log1p.f64 1) (*.f64 (log1p.f64 1) (/.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (*.f64 -1 (log.f64 1/2)))
(+.f64 (log1p.f64 1) (*.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1)) (log1p.f64 1)))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (*.f64 (log.f64 1/2) -1))
(+.f64 0 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(+.f64 (log.f64 (cbrt.f64 2)) (+.f64 (log.f64 (cbrt.f64 4)) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (log.f64 (sqrt.f64 2)) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (neg.f64 (log.f64 1/2)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 1) 3) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2)))))
(+.f64 (log.f64 (cbrt.f64 2)) (-.f64 (log.f64 (cbrt.f64 4)) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(+.f64 (log.f64 (sqrt.f64 2)) (-.f64 (log.f64 (sqrt.f64 2)) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(fabs.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))))
(pow.f64 (cbrt.f64 (E.f64)) (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 2))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3))) 2) 3))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) (*.f64 1/6 2))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (*.f64 1/2 2))
(pow.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)) (cbrt.f64 1/3))) (cbrt.f64 1/9))
(pow.f64 (exp.f64 (sqrt.f64 1/3)) (*.f64 (sqrt.f64 1/3) (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3))))
(pow.f64 (exp.f64 (cbrt.f64 1/3)) (*.f64 (cbrt.f64 1/9) (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (+.f64 1 2))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (+.f64 2 1))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) (+.f64 1/6 1/6))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (+.f64 1/2 1/2))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) (*.f64 2 1/6))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (*.f64 2 1/2))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (/.f64 2 2))
(pow.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)) 1/6)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) 2)
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))))
(pow.f64 (exp.f64 (/.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3))) 3)) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3))) 2))
(pow.f64 (exp.f64 (*.f64 (sqrt.f64 1/3) (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)))) (sqrt.f64 1/3))
(pow.f64 (exp.f64 (sqrt.f64 3)) (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) (sqrt.f64 3)))
(pow.f64 (exp.f64 (cbrt.f64 3)) (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) (cbrt.f64 9)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 2) 1/2)
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 1)
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3) (pow.f64 (log1p.f64 1) 3)) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2))) (pow.f64 (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2)) 2))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (+.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))))) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1)))))
(fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (log.f64 2))
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log.f64 (sqrt.f64 2))) (log.f64 (sqrt.f64 2)))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) 0) (log1p.f64 1))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log.f64 (cbrt.f64 2))) (log.f64 (cbrt.f64 4)))
(+.f64 (log1p.f64 1) (*.f64 (log1p.f64 1) (/.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (*.f64 -1 (log.f64 1/2)))
(+.f64 (log1p.f64 1) (*.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1)) (log1p.f64 1)))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (*.f64 (log.f64 1/2) -1))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (log.f64 (sqrt.f64 2)) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))))))
(+.f64 0 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(+.f64 (log.f64 (cbrt.f64 2)) (+.f64 (log.f64 (cbrt.f64 4)) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (neg.f64 (log.f64 1/2)))
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(+.f64 (log.f64 (cbrt.f64 2)) (+.f64 (log.f64 (cbrt.f64 4)) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (log.f64 (sqrt.f64 2)) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (neg.f64 (log.f64 1/2)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 1) 3) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2)))))
(+.f64 (log.f64 (cbrt.f64 2)) (-.f64 (log.f64 (cbrt.f64 4)) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(+.f64 (log.f64 (sqrt.f64 2)) (-.f64 (log.f64 (sqrt.f64 2)) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(fabs.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))))
(pow.f64 (cbrt.f64 (E.f64)) (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 2))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3))) 2) 3))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) (*.f64 1/6 2))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (*.f64 1/2 2))
(pow.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)) (cbrt.f64 1/3))) (cbrt.f64 1/9))
(pow.f64 (exp.f64 (sqrt.f64 1/3)) (*.f64 (sqrt.f64 1/3) (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3))))
(pow.f64 (exp.f64 (cbrt.f64 1/3)) (*.f64 (cbrt.f64 1/9) (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (+.f64 1 2))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (+.f64 2 1))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) (+.f64 1/6 1/6))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (+.f64 1/2 1/2))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) (*.f64 2 1/6))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (*.f64 2 1/2))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (/.f64 2 2))
(pow.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)) 1/6)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))) 2)
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))))
(pow.f64 (exp.f64 (/.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3))) 3)) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3))) 2))
(pow.f64 (exp.f64 (*.f64 (sqrt.f64 1/3) (log.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3)))) (sqrt.f64 1/3))
(pow.f64 (exp.f64 (sqrt.f64 3)) (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) (sqrt.f64 3)))
(pow.f64 (exp.f64 (cbrt.f64 3)) (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) (cbrt.f64 9)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 2) 1/2)
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 1)
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3) (pow.f64 (log1p.f64 1) 3)) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2))) (pow.f64 (fma.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) (+.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) (pow.f64 (log1p.f64 1) 2)) 2))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))) 3)) (+.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x))))) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1)))))
(fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (log.f64 2))
(+.f64 (NAN.f64) (NAN.f64))
(+.f64 (log.f64 729) (NAN.f64))
(+.f64 (NAN.f64) (log.f64 1/81))
(+.f64 (NAN.f64) (log.f64 (cbrt.f64 3)))
(+.f64 (NAN.f64) (log.f64 1/27))
(+.f64 (NAN.f64) (log.f64 (cbrt.f64 1/9)))
(+.f64 (NAN.f64) (log.f64 3))
(+.f64 (NAN.f64) (log.f64 27))
(+.f64 (NAN.f64) (log.f64 (sqrt.f64 1/3)))
(+.f64 (NAN.f64) (log.f64 (cbrt.f64 1/3)))
(+.f64 (NAN.f64) (log.f64 1/729))
(+.f64 (NAN.f64) (log.f64 1/3))
(+.f64 (NAN.f64) (log.f64 (cbrt.f64 9)))
(+.f64 (NAN.f64) (log.f64 9))
(+.f64 (NAN.f64) (log.f64 (sqrt.f64 3)))
(+.f64 (NAN.f64) 0)
(+.f64 (NAN.f64) (log.f64 1/9))
(+.f64 (log.f64 (cbrt.f64 3)) (NAN.f64))
(+.f64 (log.f64 1/27) (NAN.f64))
(+.f64 (log.f64 3) (NAN.f64))
(+.f64 (log1p.f64 1) (NAN.f64))
(+.f64 (log.f64 (cbrt.f64 1/9)) (NAN.f64))
(+.f64 (log.f64 27) (NAN.f64))
(+.f64 (log.f64 (sqrt.f64 1/3)) (NAN.f64))
(+.f64 (log.f64 (cbrt.f64 1/3)) (NAN.f64))
(+.f64 (log.f64 1/3) (NAN.f64))
(+.f64 (log.f64 (cbrt.f64 9)) (NAN.f64))
(+.f64 (log.f64 9) (NAN.f64))
(+.f64 (log.f64 (sqrt.f64 3)) (NAN.f64))
(+.f64 0 (NAN.f64))
(+.f64 (log.f64 81) (NAN.f64))
(+.f64 (log.f64 1/9) (NAN.f64))
(hypot.f64 (NAN.f64) (NAN.f64))
(fabs.f64 (NAN.f64))
(pow.f64 (NAN.f64) (NAN.f64))
(pow.f64 (NAN.f64) 2)
(pow.f64 (NAN.f64) 1/3)
(pow.f64 (NAN.f64) 1/9)
(pow.f64 (NAN.f64) 1/2)
(pow.f64 (NAN.f64) 1/6)
(pow.f64 (NAN.f64) 4/3)
(pow.f64 (NAN.f64) 2/3)
(pow.f64 (NAN.f64) 3/2)
(pow.f64 (NAN.f64) 3)
(pow.f64 (NAN.f64) 1)
(pow.f64 (NAN.f64) (*.f64 1/6 1/6))
(pow.f64 (NAN.f64) (*.f64 1/6 2/3))
(pow.f64 (NAN.f64) (*.f64 1/6 1/3))
(pow.f64 (NAN.f64) (*.f64 1/6 2))
(pow.f64 (NAN.f64) (*.f64 1/6 4/3))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/12 (pow.f64 x 4) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/45 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(log.f64 x)
(NAN.f64)
(+.f64 (*.f64 -1/2 x) (log.f64 x))
(NAN.f64)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (log.f64 x)))
(fma.f64 -1/8 (pow.f64 x 2) (NAN.f64))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (log.f64 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -1/2 x (fma.f64 1/24 (pow.f64 x 3) (NAN.f64))))
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(NAN.f64)
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(NAN.f64)
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(NAN.f64)
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(NAN.f64)
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(NAN.f64)
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(NAN.f64)
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(NAN.f64)
(log.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
(NAN.f64)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (log.f64 2) (neg.f64 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1 x)))
(fma.f64 1/2 (pow.f64 x 2) (+.f64 (log.f64 2) (neg.f64 x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/2 (pow.f64 x 2) (+.f64 (log.f64 2) (+.f64 (neg.f64 x) (*.f64 -1/12 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/12 (pow.f64 x 4) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/45 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) 0) (log1p.f64 1))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log.f64 (cbrt.f64 2))) (log.f64 (cbrt.f64 4)))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 4))))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log.f64 (sqrt.f64 2))) (log.f64 (sqrt.f64 2)))
(-.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 2))) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (log1p.f64 1) (*.f64 (log1p.f64 1) (/.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1))))
(*.f64 (+.f64 1 (/.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 1))) (log1p.f64 1))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (*.f64 -1 (log.f64 1/2)))
(-.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log.f64 1/2))
(+.f64 (log1p.f64 1) (*.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 -2 x)))) (log1p.f64 1)) (log1p.f64 1)))
(*.f64 (+.f64 1 (/.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 1))) (log1p.f64 1))
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(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x))))))
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(NAN.f64)
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(NAN.f64)
(+.f64 (log.f64 (sqrt.f64 3)) (NAN.f64))
(NAN.f64)
(+.f64 0 (NAN.f64))
(NAN.f64)
(+.f64 (log.f64 81) (NAN.f64))
(NAN.f64)
(+.f64 (log.f64 1/9) (NAN.f64))
(NAN.f64)
(hypot.f64 (NAN.f64) (NAN.f64))
(NAN.f64)
(fabs.f64 (NAN.f64))
(NAN.f64)
(pow.f64 (NAN.f64) (NAN.f64))
(NAN.f64)
(pow.f64 (NAN.f64) 2)
(NAN.f64)
(pow.f64 (NAN.f64) 1/3)
(NAN.f64)
(pow.f64 (NAN.f64) 1/9)
(pow.f64 (NAN.f64) 1/2)
(NAN.f64)
(pow.f64 (NAN.f64) 1/6)
(NAN.f64)
(pow.f64 (NAN.f64) 4/3)
(pow.f64 (NAN.f64) 2/3)
(pow.f64 (NAN.f64) 3/2)
(pow.f64 (NAN.f64) 3)
(NAN.f64)
(pow.f64 (NAN.f64) 1)
(NAN.f64)
(pow.f64 (NAN.f64) (*.f64 1/6 1/6))
(pow.f64 (NAN.f64) 1/36)
(pow.f64 (NAN.f64) (*.f64 1/6 2/3))
(pow.f64 (NAN.f64) 1/9)
(pow.f64 (NAN.f64) (*.f64 1/6 1/3))
(pow.f64 (NAN.f64) 1/18)
(pow.f64 (NAN.f64) (*.f64 1/6 2))
(NAN.f64)
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(pow.f64 (NAN.f64) 2/9)

eval339.0ms (0.6%)

Compiler

Compiled 6901 to 6337 computations (8.2% saved)

prune205.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2900290
Fresh000
Picked011
Done011
Total2902292
Accurracy
100.0%
Counts
292 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
29.5%
(expm1.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 1/3)))
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes89.0ms (0.2%)

Accuracy

Total -61.7b remaining (-∞%)

Threshold costs -61.7b (-∞%)

Counts
4 → 2
Calls
Call 1
Inputs
(expm1.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 1/3)))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(expm1.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))) 1/3)))
(expm1.f64 (fma.f64 -1/2 (pow.f64 x 2) x))
Calls

7 calls:

33.0ms
y
14.0ms
(*.f64 -2 x)
12.0ms
x
7.0ms
(exp.f64 (*.f64 -2 x))
7.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
Results
AccuracySegmentsBranch
100.0%2x
78.3%5y
100.0%2(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
100.0%2(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
100.0%2(+.f64 1 (exp.f64 (*.f64 -2 x)))
100.0%2(exp.f64 (*.f64 -2 x))
100.0%2(*.f64 -2 x)
Compiler

Compiled 90 to 78 computations (13.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.4054290329309723
-7.770500856990138e-11
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify2.0ms (0%)

Stop Event
done
Compiler

Compiled 30 to 26 computations (13.3% saved)

soundness0.0ms (0%)

end47.0ms (0.1%)

Compiler

Compiled 30 to 26 computations (13.3% saved)

Profiling

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