2atan (example 3.5)

Time bar (total: 4.7s)

analyze0.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample1.7s (35%)

Results
675.0ms2130×body2048valid
600.0ms4551×body256valid
221.0ms1038×body1024valid
151.0ms537×body512valid
Bogosity

preprocess150.0ms (3.2%)

Algorithm
egg-herbie
Rules
264×fma-def
64×sub-neg
44×unsub-neg
42×associate--r+
40×neg-mul-1
Problems
194×No Errors
62×(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
133120
261116
3107116
4173116
5263116
6341116
7399116
8452116
9487116
10513116
11515116
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N))))
Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (+.f64 1 (neg.f64 N))) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (-.f64 1 N)) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (+.f64 1 (neg.f64 N))) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (-.f64 1 N)) (atan.f64 (neg.f64 N))))
(-.f64 (atan.f64 (neg.f64 N)) (atan.f64 (-.f64 1 N)))
Compiler

Compiled 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
77.4%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
77.4%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 16 to 12 computations (25% saved)

localize140.0ms (2.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(atan.f64 (+.f64 N 1))
77.4%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
N
@-inf
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms
N
@0
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms
N
@inf
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms
N
@-inf
(atan.f64 (+.f64 N 1))
0.0ms
N
@inf
(atan.f64 (+.f64 N 1))

rewrite207.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
1376×prod-diff
716×fma-def
709×log1p-expm1-u
709×expm1-log1p-u
606×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
113541
2187241
Stop Event
node limit
Counts
2 → 126
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan.f64 (+.f64 N 1))
Outputs
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) 2) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (neg.f64 (atan.f64 N)) 2)) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (atan.f64 (+.f64 N 1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))

simplify109.0ms (2.3%)

Algorithm
egg-herbie
Rules
668×unswap-sqr
632×distribute-lft-in
600×log-prod
556×fma-neg
540×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02614969
15564806
217804713
377174713
Stop Event
node limit
Counts
150 → 145
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) 2) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (neg.f64 (atan.f64 N)) 2)) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
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(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (atan.f64 (+.f64 N 1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
Outputs
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (log.f64 (exp.f64 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) 2) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (neg.f64 (atan.f64 N)) 2)) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) -1)
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) -1)
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1) 1))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(atan.f64 (+.f64 1 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(atan.f64 (+.f64 1 N))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(atan.f64 (+.f64 1 N))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (+.f64 1 N))
(*.f64 (atan.f64 (+.f64 N 1)) (log.f64 (exp.f64 1)))
(atan.f64 (+.f64 1 N))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 1 N))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 1 N))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (+.f64 1 N))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(atan.f64 (+.f64 1 N))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(atan.f64 (+.f64 1 N))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(atan.f64 (+.f64 1 N))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(atan.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (+.f64 1 N))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 1 N))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (+.f64 1 N))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 1 N))

eval45.0ms (0.9%)

Compiler

Compiled 2382 to 1510 computations (36.6% saved)

prune19.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1432145
Fresh000
Picked011
Done000
Total1433146
Accuracy
99.9%
Counts
146 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
76.7%
(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
77.4%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
76.7%
(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
77.4%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 54 to 42 computations (22.2% saved)

localize222.0ms (4.7%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
100.0%
(atan.f64 (+.f64 N 1))
99.5%
(exp.f64 (atan.f64 (+.f64 N 1)))
99.3%
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
77.4%
(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
Compiler

Compiled 52 to 37 computations (28.8% saved)

series2.0ms (0%)

Counts
5 → 52
Calls

15 calls:

TimeVariablePointExpression
0.0ms
N
@-inf
(fma.f64 N (+.f64 1 N) 1)
0.0ms
N
@inf
(fma.f64 N (+.f64 1 N) 1)
0.0ms
N
@0
(fma.f64 N (+.f64 1 N) 1)
0.0ms
N
@0
(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
0.0ms
N
@-inf
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))

rewrite122.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1090×prod-diff
983×log1p-expm1-u
982×expm1-log1p-u
772×fma-def
338×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017107
1228107
22685107
Stop Event
node limit
Counts
5 → 159
Calls
Call 1
Inputs
(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (atan.f64 (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(fma.f64 N (+.f64 1 N) 1)
Outputs
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (-.f64 (+.f64 N 1) N) (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (+.f64 N 1))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1)
(*.f64 1 (exp.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)
(*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(*.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3)
(pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)
(pow.f64 (exp.f64 1) (atan.f64 (+.f64 N 1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 2))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(+.f64 1 (fma.f64 N N N))
(+.f64 (fma.f64 N N N) 1)
(+.f64 (*.f64 (fma.f64 N N N) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1))) 1)
(*.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 1 (*.f64 (fma.f64 N N N) 1))))
(/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) 1) (-.f64 (fma.f64 N N N) 1))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1)))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N 1) 1)))

simplify91.0ms (1.9%)

Algorithm
egg-herbie
Rules
1040×distribute-lft-in
998×distribute-rgt-in
576×associate-+r+
564×fma-neg
546×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03056123
16395866
223115821
Stop Event
node limit
Counts
211 → 183
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (-.f64 (+.f64 N 1) N) (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (+.f64 N 1))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) 1)
(*.f64 1 (exp.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)
(*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(*.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 3)
(pow.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) 2)
(pow.f64 (exp.f64 1) (atan.f64 (+.f64 N 1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 2))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (+.f64 N 1))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(+.f64 1 (fma.f64 N N N))
(+.f64 (fma.f64 N N N) 1)
(+.f64 (*.f64 (fma.f64 N N N) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1))) 1)
(*.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 1 (*.f64 (fma.f64 N N N) 1))))
(/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) 1) (-.f64 (fma.f64 N N N) 1))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1)))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N 1) 1)))
Outputs
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (+.f64 1 N)))
(exp.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))))
(exp.f64 (atan.f64 (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
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(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(exp.f64 (atan.f64 (+.f64 1 N)))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))
(exp.f64 (atan.f64 (+.f64 1 N)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))) 1)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 3)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3) 1/3)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 (fma.f64 N N N) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 (*.f64 (fma.f64 N N N) 1) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1))) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 1 (fma.f64 N (+.f64 N 1) 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 1 (*.f64 (fma.f64 N N N) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 1 (fma.f64 N N N))))
(/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) 1) (-.f64 (fma.f64 N N N) 1))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) -1) (+.f64 (fma.f64 N N N) -1))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) -1) (+.f64 -1 (fma.f64 N N N)))
(/.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3) 1/3)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(log.f64 (exp.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N 1) 1))))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)

eval62.0ms (1.3%)

Compiler

Compiled 3245 to 2118 computations (34.7% saved)

prune49.0ms (1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New20610216
Fresh000
Picked022
Done011
Total20613219
Accuracy
100.0%
Counts
219 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
97.8%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 3)
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
60.0%
(atan2.f64 1 (fma.f64 N N N))
99.5%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3))
59.5%
(atan2.f64 1 (pow.f64 N 2))
60.0%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
50.6%
(atan2.f64 1 (+.f64 1 N))
99.5%
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
49.7%
(atan2.f64 1 1)
76.7%
(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
77.4%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
84.4%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3))
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
97.8%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 3)
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
60.0%
(atan2.f64 1 (fma.f64 N N N))
99.5%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3))
59.5%
(atan2.f64 1 (pow.f64 N 2))
60.0%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
50.6%
(atan2.f64 1 (+.f64 1 N))
99.5%
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
49.7%
(atan2.f64 1 1)
76.7%
(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
77.4%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
84.4%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3))
Compiler

Compiled 450 to 362 computations (19.6% saved)

localize190.0ms (4%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 N 1) 1)
99.9%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3))
99.7%
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
74.1%
(cbrt.f64 (fma.f64 N (+.f64 N 1) 1))
100.0%
(+.f64 N (pow.f64 N 2))
99.9%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
99.9%
(atan2.f64 1 (pow.f64 N 2))
99.9%
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
99.8%
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
99.7%
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
74.1%
(cbrt.f64 (fma.f64 N (+.f64 N 1) 1))
Compiler

Compiled 138 to 103 computations (25.4% saved)

series8.0ms (0.2%)

Counts
11 → 71
Calls

33 calls:

TimeVariablePointExpression
1.0ms
N
@inf
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
1.0ms
N
@0
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
1.0ms
N
@-inf
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
1.0ms
N
@-inf
(+.f64 N (pow.f64 N 2))
1.0ms
N
@inf
(cbrt.f64 (fma.f64 N (+.f64 N 1) 1))

rewrite142.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1538×prod-diff
958×log1p-expm1-u
958×expm1-log1p-u
348×log1p-udef
344×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022258
1267256
22917256
Stop Event
node limit
Counts
11 → 257
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 N (+.f64 N 1) 1))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 N (pow.f64 N 2))
(cbrt.f64 (fma.f64 N (+.f64 N 1) 1))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3))
(fma.f64 N (+.f64 N 1) 1)
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/2)
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(fabs.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 1))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(exp.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (fma.f64 N N N)))))
(exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 (fma.f64 N N N) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1))) 1)
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (-.f64 (fma.f64 N N N) 1))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 3/2)
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N 1) 1))))
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(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1)))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N 1) 1)))

simplify117.0ms (2.5%)

Algorithm
egg-herbie
Rules
1686×fma-def
614×times-frac
592×exp-prod
486×cube-prod
472×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03749193
17648841
227808656
Stop Event
node limit
Counts
328 → 242
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 N))
(+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N)))
(+.f64 1 (+.f64 (*.f64 -13/81 (pow.f64 N 3)) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N))))
1
(+.f64 1 (*.f64 2/3 N))
(+.f64 1 (+.f64 (*.f64 5/9 (pow.f64 N 2)) (*.f64 2/3 N)))
(+.f64 1 (+.f64 (*.f64 -14/81 (pow.f64 N 3)) (+.f64 (*.f64 5/9 (pow.f64 N 2)) (*.f64 2/3 N))))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
N
(pow.f64 N 2)
(pow.f64 N 2)
1
(+.f64 1 (*.f64 1/3 N))
(+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N)))
(+.f64 1 (+.f64 (*.f64 -13/81 (pow.f64 N 3)) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N))))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/2)
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(fabs.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 1))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(exp.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (fma.f64 N N N)))))
(exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 (fma.f64 N N N) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1))) 1)
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (-.f64 (fma.f64 N N N) 1))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 3/2)
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1)))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N 1) 1)))
(fma.f64 N (+.f64 N 1) 1)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (pow.f64 N 2)))) 1)
(*.f64 1 (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (atan2.f64 1 (pow.f64 N 2)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(*.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (pow.f64 N 2))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (pow.f64 N 2)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (pow.f64 N 2))))
(exp.f64 (log.f64 (atan2.f64 1 (pow.f64 N 2))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (pow.f64 N 2))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (pow.f64 N 2))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N N)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (fma.f64 N N N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N N))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N N))))
(-.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(-.f64 (/.f64 (pow.f64 N 2) (-.f64 N (pow.f64 N 2))) (/.f64 (pow.f64 N 4) (-.f64 N (pow.f64 N 2))))
(*.f64 N (+.f64 N 1))
(*.f64 1 (fma.f64 N N N))
(*.f64 (+.f64 N 1) N)
(*.f64 (fma.f64 N N N) 1)
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (+.f64 N 1)))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 N 1)))
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(*.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (/.f64 1 (-.f64 N (pow.f64 N 2))))
(*.f64 (*.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (*.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))))
(*.f64 (*.f64 N (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (cbrt.f64 (+.f64 N 1)))
(*.f64 (*.f64 N (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 1 (sqrt.f64 N)))
(/.f64 1 (/.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (pow.f64 N 3))))
(/.f64 1 (/.f64 (-.f64 N (pow.f64 N 2)) (-.f64 (pow.f64 N 2) (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) (pow.f64 N 3))))
(/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (-.f64 N (pow.f64 N 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (neg.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4))) (neg.f64 (-.f64 N (pow.f64 N 2))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 N 2)) (-.f64 (pow.f64 N 2) N))
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (fma.f64 N N (-.f64 1 N)))
(/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 N -1))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(log.f64 (exp.f64 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (+.f64 N 1) 3)))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (log.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(exp.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(fma.f64 1 N (pow.f64 N 2))
(fma.f64 1 (pow.f64 N 2) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (pow.f64 N 2))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (pow.f64 N 2))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/2)
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(fabs.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 1))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(+.f64 1 (fma.f64 N N N))
(+.f64 (fma.f64 N N N) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1))) 1)
(*.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 3))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (-.f64 (fma.f64 N N N) 1))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1)))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N 1) 1)))
(fma.f64 N (+.f64 N 1) 1)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(+.f64 1 (fma.f64 N N N))
(+.f64 (fma.f64 N N N) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1))) 1)
(*.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 3))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (-.f64 (fma.f64 N N N) 1))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 3/2)
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1)))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N 1) 1)))
Outputs
1
(+.f64 1 (*.f64 1/3 N))
(fma.f64 1/3 N 1)
(+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N)))
(+.f64 1 (fma.f64 2/9 (pow.f64 N 2) (*.f64 1/3 N)))
(+.f64 1 (fma.f64 1/3 N (*.f64 2/9 (pow.f64 N 2))))
(fma.f64 1/3 N (fma.f64 2/9 (pow.f64 N 2) 1))
(+.f64 1 (+.f64 (*.f64 -13/81 (pow.f64 N 3)) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N))))
(+.f64 1 (fma.f64 -13/81 (pow.f64 N 3) (fma.f64 2/9 (pow.f64 N 2) (*.f64 1/3 N))))
(+.f64 (fma.f64 -13/81 (pow.f64 N 3) (*.f64 2/9 (pow.f64 N 2))) (fma.f64 1/3 N 1))
(fma.f64 -13/81 (pow.f64 N 3) (fma.f64 1/3 N (fma.f64 2/9 (pow.f64 N 2) 1)))
1
(+.f64 1 (*.f64 2/3 N))
(+.f64 1 (*.f64 N 2/3))
(fma.f64 N 2/3 1)
(+.f64 1 (+.f64 (*.f64 5/9 (pow.f64 N 2)) (*.f64 2/3 N)))
(+.f64 1 (fma.f64 5/9 (pow.f64 N 2) (*.f64 N 2/3)))
(+.f64 1 (fma.f64 N 2/3 (*.f64 (pow.f64 N 2) 5/9)))
(fma.f64 (pow.f64 N 2) 5/9 (fma.f64 N 2/3 1))
(+.f64 1 (+.f64 (*.f64 -14/81 (pow.f64 N 3)) (+.f64 (*.f64 5/9 (pow.f64 N 2)) (*.f64 2/3 N))))
(+.f64 1 (fma.f64 -14/81 (pow.f64 N 3) (fma.f64 5/9 (pow.f64 N 2) (*.f64 N 2/3))))
(+.f64 1 (fma.f64 (pow.f64 N 3) -14/81 (fma.f64 N 2/3 (*.f64 (pow.f64 N 2) 5/9))))
(fma.f64 (pow.f64 N 3) -14/81 (fma.f64 (pow.f64 N 2) 5/9 (fma.f64 N 2/3 1)))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
N
(pow.f64 N 2)
(pow.f64 N 2)
1
(+.f64 1 (*.f64 1/3 N))
(fma.f64 1/3 N 1)
(+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N)))
(+.f64 1 (fma.f64 2/9 (pow.f64 N 2) (*.f64 1/3 N)))
(+.f64 1 (fma.f64 1/3 N (*.f64 2/9 (pow.f64 N 2))))
(fma.f64 1/3 N (fma.f64 2/9 (pow.f64 N 2) 1))
(+.f64 1 (+.f64 (*.f64 -13/81 (pow.f64 N 3)) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N))))
(+.f64 1 (fma.f64 -13/81 (pow.f64 N 3) (fma.f64 2/9 (pow.f64 N 2) (*.f64 1/3 N))))
(+.f64 (fma.f64 -13/81 (pow.f64 N 3) (*.f64 2/9 (pow.f64 N 2))) (fma.f64 1/3 N 1))
(fma.f64 -13/81 (pow.f64 N 3) (fma.f64 1/3 N (fma.f64 2/9 (pow.f64 N 2) 1)))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
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(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)) (+.f64 1 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (-.f64 (fma.f64 N N N) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (+.f64 (fma.f64 N N N) -1))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (+.f64 N (fma.f64 N N -1)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (fma.f64 N (+.f64 1 N) -1))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(log.f64 (exp.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N 1) 1))))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(fma.f64 N (+.f64 N 1) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 3)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3) 1/3)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 (fma.f64 N N N) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1))) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 1 (fma.f64 N (+.f64 N 1) 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 4)) (*.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 5))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 3))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 4)) (*.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 5))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)) (+.f64 1 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (-.f64 (fma.f64 N N N) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (+.f64 (fma.f64 N N N) -1))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (+.f64 N (fma.f64 N N -1)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (fma.f64 N (+.f64 1 N) -1))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 3/2)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3) 1/3)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(log.f64 (exp.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N 1) 1))))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)

eval124.0ms (2.6%)

Compiler

Compiled 5547 to 4217 computations (24% saved)

prune59.0ms (1.2%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New3188326
Fresh325
Picked325
Done033
Total32415339
Accuracy
100.0%
Counts
339 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
59.4%
(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)
59.0%
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 3)
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
59.6%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 3))
53.8%
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
22.5%
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))
60.0%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
50.6%
(atan2.f64 1 (+.f64 1 N))
60.0%
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
12.0%
(atan2.f64 1 N)
49.7%
(atan2.f64 1 1)
76.7%
(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
77.4%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
44.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3))
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
59.4%
(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)
59.0%
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 3)
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
59.6%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 3))
53.8%
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
22.5%
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))
60.0%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
50.6%
(atan2.f64 1 (+.f64 1 N))
60.0%
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
12.0%
(atan2.f64 1 N)
49.7%
(atan2.f64 1 1)
76.7%
(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
77.4%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
44.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3))
Compiler

Compiled 454 to 358 computations (21.1% saved)

localize182.0ms (3.8%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
99.9%
(atan2.f64 1 (pow.f64 N 2))
99.0%
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 3)
73.3%
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
99.9%
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))
67.8%
(/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N)))
100.0%
(*.f64 (+.f64 N 1) N)
99.9%
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
100.0%
(fma.f64 N (+.f64 N 1) 1)
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
99.1%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
74.2%
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
Compiler

Compiled 136 to 95 computations (30.1% saved)

series14.0ms (0.3%)

Counts
10 → 112
Calls

30 calls:

TimeVariablePointExpression
2.0ms
N
@0
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
2.0ms
N
@-inf
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
1.0ms
N
@inf
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
1.0ms
N
@0
(/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N)))
1.0ms
N
@inf
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)

rewrite176.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1051×log1p-expm1-u
576×log1p-udef
574×expm1-udef
485×expm1-log1p-u
220×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028288
1410286
24837286
Stop Event
node limit
Counts
10 → 230
Calls
Call 1
Inputs
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(fma.f64 N (+.f64 N 1) 1)
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
(*.f64 (+.f64 N 1) N)
(/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N)))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 3)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(*.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/2)
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(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N)))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))))
(exp.f64 (log.f64 (atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(*.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6) (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 1/3))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (pow.f64 N 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (pow.f64 N 2)))) 1)
(*.f64 1 (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (atan2.f64 1 (pow.f64 N 2)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)))
(*.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)))
(*.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 2) 3) (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6) 3) (pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2) 1) (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2) (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6)) (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (pow.f64 N 2))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (pow.f64 N 2)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (pow.f64 N 2))
(exp.f64 (log.f64 (atan2.f64 1 (pow.f64 N 2))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (pow.f64 N 2))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (pow.f64 N 2))))

simplify123.0ms (2.6%)

Algorithm
egg-herbie
Rules
1136×fma-def
798×log-prod
626×exp-prod
588×sqr-pow
540×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044510853
189210332
2321910132
Stop Event
node limit
Counts
342 → 260
Calls
Call 1
Inputs
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 -1 N)) (fma.f64 N N (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 -1 N)) (fma.f64 N N (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 -1 N)) (fma.f64 N N (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 -1 N)) (fma.f64 N N (+.f64 1 (*.f64 -1 N)))))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(*.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) 2)
(fabs.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
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(exp.f64 (log.f64 (atan2.f64 1 (pow.f64 N 2))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (pow.f64 N 2))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (pow.f64 N 2))))
Outputs
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N N N))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 -1 N)) (fma.f64 N N (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (neg.f64 N)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 -1 N)) (fma.f64 N N (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (neg.f64 N)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 -1 N)) (fma.f64 N N (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (neg.f64 N)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 -1 N)) (fma.f64 N N (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (neg.f64 N)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1)))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (fabs.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (fabs.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/2)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) 2)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(fabs.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/2))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
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(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N)))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (neg.f64 N)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N)))) 3))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (neg.f64 N)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (neg.f64 N)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1)))
(exp.f64 (log.f64 (atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (neg.f64 N)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))) 1))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (neg.f64 N)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (neg.f64 N)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))) 1)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(*.f64 1 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 1)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 2))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2) 1/3))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6) (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 1)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 3)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6) 2)
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (pow.f64 N 2))) 1/3))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 1))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (pow.f64 N 2)))) 1)
(atan2.f64 1 (pow.f64 N 2))
(*.f64 1 (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (atan2.f64 1 (pow.f64 N 2)) 1)
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 2) 3) (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6) 3) (pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6) 3))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2) 1) (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (pow.f64 N 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2) (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6)) (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 1/6))
(atan2.f64 1 (pow.f64 N 2))
(sqrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 2))
(atan2.f64 1 (pow.f64 N 2))
(log.f64 (exp.f64 (atan2.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (pow.f64 N 2))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (pow.f64 N 2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3))
(atan2.f64 1 (pow.f64 N 2))
(expm1.f64 (log1p.f64 (atan2.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(exp.f64 (log.f64 (atan2.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (pow.f64 N 2))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (pow.f64 N 2))) 1))
(atan2.f64 1 (pow.f64 N 2))
(log1p.f64 (expm1.f64 (atan2.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (pow.f64 N 2))

eval99.0ms (2.1%)

Compiler

Compiled 4274 to 3235 computations (24.3% saved)

prune46.0ms (1%)

Pruning

19 alts after pruning (9 fresh and 10 done)

PrunedKeptTotal
New2754279
Fresh055
Picked055
Done055
Total27519294
Accuracy
100.0%
Counts
294 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) 2) 2)
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
59.4%
(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)
59.0%
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)) 3)
59.0%
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 3)
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
59.6%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 3))
53.8%
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
22.5%
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))
60.0%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
50.6%
(atan2.f64 1 (+.f64 1 N))
22.4%
(atan2.f64 1 (*.f64 (/.f64 1 (fma.f64 N N (-.f64 1 N))) (+.f64 N (pow.f64 N 4))))
60.0%
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
12.0%
(atan2.f64 1 N)
49.7%
(atan2.f64 1 1)
76.7%
(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
77.4%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
99.0%
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
44.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3))
Compiler

Compiled 463 to 363 computations (21.6% saved)

regimes22.0ms (0.5%)

Counts
25 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 N)
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (fma.f64 N N N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
(atan2.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (*.f64 (/.f64 1 (fma.f64 N N (-.f64 1 N))) (+.f64 N (pow.f64 N 4))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3))
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 N 2))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)
(-.f64 (log.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (atan.f64 N))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 3))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) 2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)) 3)
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
Outputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Calls

2 calls:

13.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.9%1N
99.9%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 264 to 203 computations (23.1% saved)

regimes20.0ms (0.4%)

Counts
8 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 N)
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (fma.f64 N N N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Calls

2 calls:

15.0ms
N
4.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
60.0%1N
77.4%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 54 to 39 computations (27.8% saved)

regimes14.0ms (0.3%)

Counts
6 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 N)
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (fma.f64 N N N))
Outputs
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
Calls

1 calls:

12.0ms
N
Results
AccuracySegmentsBranch
60.0%1N
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 N)
(atan2.f64 1 (+.f64 1 N))
Outputs
(atan2.f64 1 (+.f64 1 N))
Calls

1 calls:

4.0ms
N
Results
AccuracySegmentsBranch
50.6%1N
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes3.0ms (0.1%)

Accuracy

Total -24.6b remaining (-76.3%)

Threshold costs -24.6b (-76.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 N)
Outputs
(atan2.f64 1 1)
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
49.7%1N
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
*-commutative
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019102
129102
233102
335102
436102
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 1)
Outputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
(atan2.f64 1 (*.f64 N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 1)
Compiler

Compiled 35 to 28 computations (20% saved)

soundness450.0ms (9.5%)

Rules
1538×prod-diff
1376×prod-diff
958×log1p-expm1-u
958×expm1-log1p-u
716×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
113541
2187241
02614969
15564806
217804713
377174713
022258
1267256
22917256
Stop Event
node limit
node limit
node limit
Compiler

Compiled 157 to 110 computations (29.9% saved)

end0.0ms (0%)

preprocess60.0ms (1.3%)

Compiler

Compiled 100 to 78 computations (22% saved)

Profiling

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