2atan (example 3.5)

Time bar (total: 5.8s)

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)

sample1.6s (27%)

Results
705.0ms2212×body2048valid
456.0ms4430×body256valid
290.0ms1112×body1024valid
113.0ms502×body512valid
Bogosity

preprocess140.0ms (2.4%)

Algorithm
egg-herbie
Rules
276×fma-def
62×sub-neg
42×associate--r+
42×unsub-neg
40×distribute-rgt-in
Problems
189×No Errors
67×(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01689
12785
24185
36385
48985
513285
621385
728085
838085
945085
1050285
1150685
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)))
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)))
Compiler

Compiled 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune7.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
76.3%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 16 to 12 computations (25% saved)

localize148.0ms (2.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
76.3%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 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))

rewrite109.0ms (1.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
113227
2186927
Stop Event
node limit
Counts
1 → 99
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
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 (-.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 (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 (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 (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 (-.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)))

simplify95.0ms (1.6%)

Algorithm
egg-herbie
Rules
1358×div-sub
1308×fma-def
880×associate-*r*
818×associate-*l*
506×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02154317
14874175
213034113
364624113
Stop Event
node limit
Counts
111 → 111
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))
(+.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 (-.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 (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 (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 (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 (-.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)))
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))
(+.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))
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(-.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 (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 (-.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))

eval49.0ms (0.8%)

Compiler

Compiled 1966 to 1205 computations (38.7% saved)

prune25.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1092111
Fresh000
Picked011
Done000
Total1093112
Accuracy
99.9%
Counts
112 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
76.3%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
75.5%
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
76.3%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
75.5%
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
Compiler

Compiled 54 to 42 computations (22.2% saved)

localize226.0ms (3.9%)

Localize:

Found 5 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))
99.3%
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
99.3%
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
76.3%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 56 to 37 computations (33.9% saved)

series61.0ms (1%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
26.0ms
N
@0
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
20.0ms
N
@inf
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
14.0ms
N
@-inf
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
0.0ms
N
@-inf
(fma.f64 N (+.f64 1 N) 1)
0.0ms
N
@inf
(fma.f64 N (+.f64 1 N) 1)

rewrite88.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1628×prod-diff
1029×log1p-expm1-u
666×expm1-log1p-u
344×log1p-udef
342×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017106
1225106
22836106
Stop Event
node limit
Counts
4 → 115
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(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 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1)
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.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 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N))) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (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 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (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 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (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 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (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 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (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 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (/.f64 (pow.f64 (atan.f64 N) 3) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (/.f64 (pow.f64 (atan.f64 N) 2) (+.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 (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 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.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 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (-.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)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(/.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 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.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 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) 1) (+.f64 (*.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 1 (*.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))))
(/.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 (*.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1) (+.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(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))
(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))
(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 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.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))) (neg.f64 (atan.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 1)
(*.f64 1 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(log.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.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 (+.f64 N (pow.f64 N 2)))
(+.f64 (+.f64 N (pow.f64 N 2)) 1)
(+.f64 (*.f64 (+.f64 N (pow.f64 N 2)) 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 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 N (pow.f64 N 2)) (+.f64 N (pow.f64 N 2))) (+.f64 N (pow.f64 N 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N (pow.f64 N 2)) 3) 1) (+.f64 (*.f64 (+.f64 N (pow.f64 N 2)) (+.f64 N (pow.f64 N 2))) (-.f64 1 (*.f64 (+.f64 N (pow.f64 N 2)) 1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 N (pow.f64 N 2)) (+.f64 N (pow.f64 N 2)))) (-.f64 1 (+.f64 N (pow.f64 N 2))))
(/.f64 (-.f64 (*.f64 (+.f64 N (pow.f64 N 2)) (+.f64 N (pow.f64 N 2))) 1) (-.f64 (+.f64 N (pow.f64 N 2)) 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 (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 (+.f64 N (pow.f64 N 2))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 N (pow.f64 N 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N 1) 1)))

simplify82.0ms (1.4%)

Algorithm
egg-herbie
Rules
1152×distribute-lft-in
1148×unswap-sqr
1122×distribute-rgt-in
612×associate-+r+
498×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02665400
16315126
223165046
Stop Event
node limit
Counts
155 → 143
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))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 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 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1)
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.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 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N))) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (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 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (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 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (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 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (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 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (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 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (/.f64 (pow.f64 (atan.f64 N) 3) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (/.f64 (pow.f64 (atan.f64 N) 2) (+.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 (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 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.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 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (-.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)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(/.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 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.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 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) 1) (+.f64 (*.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 1 (*.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))))
(/.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 (*.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1) (+.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(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))
(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))
(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 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.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))) (neg.f64 (atan.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 1)
(*.f64 1 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(log.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.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 (+.f64 N (pow.f64 N 2)))
(+.f64 (+.f64 N (pow.f64 N 2)) 1)
(+.f64 (*.f64 (+.f64 N (pow.f64 N 2)) 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 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 N (pow.f64 N 2)) (+.f64 N (pow.f64 N 2))) (+.f64 N (pow.f64 N 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N (pow.f64 N 2)) 3) 1) (+.f64 (*.f64 (+.f64 N (pow.f64 N 2)) (+.f64 N (pow.f64 N 2))) (-.f64 1 (*.f64 (+.f64 N (pow.f64 N 2)) 1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 N (pow.f64 N 2)) (+.f64 N (pow.f64 N 2)))) (-.f64 1 (+.f64 N (pow.f64 N 2))))
(/.f64 (-.f64 (*.f64 (+.f64 N (pow.f64 N 2)) (+.f64 N (pow.f64 N 2))) 1) (-.f64 (+.f64 N (pow.f64 N 2)) 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 (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 (+.f64 N (pow.f64 N 2))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 N (pow.f64 N 2))) 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))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 1 N))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 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)))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(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)))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(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)))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(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 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1)
(-.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 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.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))
(+.f64 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (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 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N))) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (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 (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 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (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 (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 (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 (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 (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 -1 (atan.f64 N) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (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 (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 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (/.f64 (pow.f64 (atan.f64 N) 3) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))
(/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (/.f64 (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 (atan.f64 N) (atan.f64 (+.f64 1 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 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))
(/.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 (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 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (-.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 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))
(/.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)))
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(log.f64 (exp.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(fma.f64 N (+.f64 1 N) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N 1) 1))))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(fma.f64 N (+.f64 1 N) 1)
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(fma.f64 N (+.f64 1 N) 1)
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (log1p.f64 (+.f64 N (pow.f64 N 2))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 N (pow.f64 N 2))) 1))
(exp.f64 (log1p.f64 (+.f64 N (pow.f64 N 2))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N 1) 1)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(fma.f64 N (+.f64 1 N) 1)

eval109.0ms (1.9%)

Compiler

Compiled 4478 to 2989 computations (33.3% saved)

prune58.0ms (1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New2459254
Fresh000
Picked022
Done011
Total24512257
Accuracy
99.9%
Counts
257 → 12
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)
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
60.6%
(atan2.f64 1 (fma.f64 N N N))
99.9%
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
99.4%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3))
59.9%
(atan2.f64 1 (pow.f64 N 2))
61.1%
(atan2.f64 1 (/.f64 (-.f64 1 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 1 N) (+.f64 1 N)))) (-.f64 1 (fma.f64 N N N))))
60.6%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
50.6%
(atan2.f64 1 (+.f64 1 N))
49.4%
(atan2.f64 1 1)
76.3%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
75.5%
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
60.6%
(atan2.f64 1 (fma.f64 N N N))
99.9%
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
99.4%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3))
59.9%
(atan2.f64 1 (pow.f64 N 2))
61.1%
(atan2.f64 1 (/.f64 (-.f64 1 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 1 N) (+.f64 1 N)))) (-.f64 1 (fma.f64 N N N))))
60.6%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
50.6%
(atan2.f64 1 (+.f64 1 N))
49.4%
(atan2.f64 1 1)
76.3%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
75.5%
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
Compiler

Compiled 414 to 326 computations (21.3% saved)

localize208.0ms (3.6%)

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))
99.6%
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
74.9%
(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))
100.0%
(fma.f64 N (+.f64 N 1) 1)
100.0%
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
99.9%
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
75.8%
(sqrt.f64 (fma.f64 N (+.f64 N 1) 1))
Compiler

Compiled 113 to 84 computations (25.7% saved)

series6.0ms (0.1%)

Counts
11 → 87
Calls

33 calls:

TimeVariablePointExpression
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)
0.0ms
N
@-inf
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
0.0ms
N
@inf
(cbrt.f64 (fma.f64 N (+.f64 N 1) 1))
0.0ms
N
@0
(cbrt.f64 (fma.f64 N (+.f64 N 1) 1))

rewrite119.0ms (2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
022248
1285246
22973246
Stop Event
node limit
Counts
11 → 291
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(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 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/2))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (pow.f64 1 3/2) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 3/2) (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 3/2))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (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) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3/4) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3/4))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/2) 1/3)
(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) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 1/2 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 3/2))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (fma.f64 N N N))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (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 (fma.f64 N (+.f64 N 1) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (sqrt.f64 (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 (cbrt.f64 (pow.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 (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 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) 3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (pow.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 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 (fma.f64 N (+.f64 N 1) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (sqrt.f64 (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 (cbrt.f64 (pow.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 (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 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) 3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (pow.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 (fma.f64 N (+.f64 N 1) 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(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 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3) 1/3)
(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)))
(-.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 (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 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (+.f64 N 1)))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 N 1)))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.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 3) (pow.f64 N 6))))
(/.f64 1 (/.f64 (-.f64 N (pow.f64 N 2)) (-.f64 (pow.f64 N 2) (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.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 3) (pow.f64 N 6))) (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 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.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 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2/3)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(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))
(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 (log1p.f64 (fma.f64 N N N)) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 1))
(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 (fma.f64 N (+.f64 N 1) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (sqrt.f64 (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 (cbrt.f64 (pow.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 (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 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) 3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (pow.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 (fma.f64 N (+.f64 N 1) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (sqrt.f64 (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 (cbrt.f64 (pow.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 (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 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) 3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (pow.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 (fma.f64 N (+.f64 N 1) 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(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 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3) 1/3)
(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)))

simplify132.0ms (2.3%)

Algorithm
egg-herbie
Rules
1842×fma-def
614×times-frac
604×exp-prod
542×cube-prod
532×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04144294978075
186110146
2305010010
Stop Event
node limit
Counts
378 → 279
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 N))
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 N 2)) (*.f64 1/2 N)))
(+.f64 1 (+.f64 (*.f64 -3/16 (pow.f64 N 3)) (+.f64 (*.f64 3/8 (pow.f64 N 2)) (*.f64 1/2 N))))
N
(+.f64 1/2 N)
(+.f64 1/2 (+.f64 N (*.f64 3/8 (/.f64 1 N))))
(-.f64 (+.f64 1/2 (+.f64 N (*.f64 3/8 (/.f64 1 N)))) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1 N)
(-.f64 (*.f64 -1 N) 1/2)
(-.f64 (*.f64 -1 N) (+.f64 1/2 (*.f64 3/8 (/.f64 1 N))))
(-.f64 (+.f64 (*.f64 -1 N) (*.f64 3/16 (/.f64 1 (pow.f64 N 2)))) (+.f64 1/2 (*.f64 3/8 (/.f64 1 N))))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2))
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)))
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 (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 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/2))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (pow.f64 1 3/2) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 3/2) (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 3/2))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (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) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3/4) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3/4))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/2) 1/3)
(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) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 1/2 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 3/2))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (fma.f64 N N N))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (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 (fma.f64 N (+.f64 N 1) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (sqrt.f64 (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 (cbrt.f64 (pow.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 (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 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) 3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (pow.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 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 (fma.f64 N (+.f64 N 1) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (sqrt.f64 (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 (cbrt.f64 (pow.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 (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 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) 3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
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(*.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))
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(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(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 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2) 1/2)
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(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)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (pow.f64 N 2)))) 1)
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(*.f64 (atan2.f64 1 (pow.f64 N 2)) 1)
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(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))
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(*.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 3) (pow.f64 N 6))))
(/.f64 1 (/.f64 (-.f64 N (pow.f64 N 2)) (-.f64 (pow.f64 N 2) (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.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 3) (pow.f64 N 6))) (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 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.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 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2/3)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(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))
(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 (log1p.f64 (fma.f64 N N N)) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 1))
(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 (fma.f64 N (+.f64 N 1) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (sqrt.f64 (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 (cbrt.f64 (pow.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 (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 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) 3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (pow.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 (fma.f64 N (+.f64 N 1) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (sqrt.f64 (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 (cbrt.f64 (pow.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 (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 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) 3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (pow.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 (fma.f64 N (+.f64 N 1) 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(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 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3) 1/3)
(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 1/2 N))
(fma.f64 1/2 N 1)
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 N 2)) (*.f64 1/2 N)))
(+.f64 1 (fma.f64 3/8 (pow.f64 N 2) (*.f64 1/2 N)))
(+.f64 1 (fma.f64 1/2 N (*.f64 3/8 (pow.f64 N 2))))
(fma.f64 1/2 N (fma.f64 3/8 (pow.f64 N 2) 1))
(+.f64 1 (+.f64 (*.f64 -3/16 (pow.f64 N 3)) (+.f64 (*.f64 3/8 (pow.f64 N 2)) (*.f64 1/2 N))))
(+.f64 1 (fma.f64 -3/16 (pow.f64 N 3) (fma.f64 3/8 (pow.f64 N 2) (*.f64 1/2 N))))
(+.f64 (fma.f64 -3/16 (pow.f64 N 3) (*.f64 3/8 (pow.f64 N 2))) (fma.f64 1/2 N 1))
(fma.f64 -3/16 (pow.f64 N 3) (fma.f64 1/2 N (fma.f64 3/8 (pow.f64 N 2) 1)))
N
(+.f64 1/2 N)
(+.f64 1/2 (+.f64 N (*.f64 3/8 (/.f64 1 N))))
(+.f64 1/2 (+.f64 N (/.f64 3/8 N)))
(-.f64 (+.f64 1/2 (+.f64 N (*.f64 3/8 (/.f64 1 N)))) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1/2 (+.f64 N (/.f64 3/8 N))) (/.f64 3/16 (pow.f64 N 2)))
(+.f64 (+.f64 1/2 (+.f64 N (/.f64 3/8 N))) (/.f64 -3/16 (pow.f64 N 2)))
(+.f64 1/2 (+.f64 N (+.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2)))))
(*.f64 -1 N)
(neg.f64 N)
(-.f64 (*.f64 -1 N) 1/2)
(fma.f64 -1 N -1/2)
(fma.f64 N -1 -1/2)
(-.f64 -1/2 N)
(-.f64 (*.f64 -1 N) (+.f64 1/2 (*.f64 3/8 (/.f64 1 N))))
(-.f64 (fma.f64 -1 N -1/2) (/.f64 3/8 N))
(-.f64 (fma.f64 N -1 -1/2) (/.f64 3/8 N))
(-.f64 (-.f64 -1/2 N) (/.f64 3/8 N))
(-.f64 (+.f64 (*.f64 -1 N) (*.f64 3/16 (/.f64 1 (pow.f64 N 2)))) (+.f64 1/2 (*.f64 3/8 (/.f64 1 N))))
(-.f64 (fma.f64 -1 N (/.f64 3/16 (pow.f64 N 2))) (+.f64 1/2 (/.f64 3/8 N)))
(-.f64 (-.f64 (/.f64 3/16 (pow.f64 N 2)) N) (+.f64 1/2 (/.f64 3/8 N)))
(+.f64 (/.f64 3/16 (pow.f64 N 2)) (-.f64 (-.f64 -1/2 N) (/.f64 3/8 N)))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2))
(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)
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 (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))
(+.f64 1 (*.f64 N 1/3))
(fma.f64 N 1/3 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 N 1/3)))
(+.f64 1 (fma.f64 (pow.f64 N 2) 2/9 (*.f64 N 1/3)))
(fma.f64 (pow.f64 N 2) 2/9 (fma.f64 N 1/3 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 N 1/3))))
(+.f64 1 (fma.f64 (pow.f64 N 3) -13/81 (fma.f64 (pow.f64 N 2) 2/9 (*.f64 N 1/3))))
(fma.f64 (pow.f64 N 3) -13/81 (fma.f64 (pow.f64 N 2) 2/9 (fma.f64 N 1/3 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)
(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)
(+.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 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))) 1)
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(*.f64 1 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/12) 6)
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/12) 6)
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/2))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/12) 6)
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(*.f64 (pow.f64 1 3/2) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2)) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3/2))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3/2) 3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 3/2) (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 3/2))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/12) 6)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(*.f64 (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) 1/6))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/12) 6)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3/4) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3/4))
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/2)
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3/2)
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3/2))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/12) 6)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) 2)
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(fabs.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))
(exp.f64 (*.f64 1/2 (log1p.f64 (fma.f64 N N N))))
(pow.f64 (exp.f64 1/2) (log1p.f64 (fma.f64 N N N)))
(sqrt.f64 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 3/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (fma.f64 N N N)))
(sqrt.f64 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (fma.f64 N N N)))
(sqrt.f64 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (fma.f64 N N N))) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (fma.f64 N N N)))
(sqrt.f64 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(sqrt.f64 (fma.f64 N (+.f64 1 N) 1))
(hypot.f64 1 (hypot.f64 N (sqrt.f64 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 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 (fma.f64 N (+.f64 N 1) 1) 1)
(+.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))
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(*.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))
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(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 (fma.f64 N (+.f64 N 1) 1) 1)
(+.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 (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 (cbrt.f64 (pow.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 1 N) 1)) 2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2)) 4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 7))
(*.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 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (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 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)) 3) (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 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) 3))
(*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/12) 6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1) (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) (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2)) 4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 7))
(*.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 (fma.f64 N (+.f64 N 1) 1) 1)
(+.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)
(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)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) 3/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2) 1/2)
(+.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)
(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)

eval146.0ms (2.5%)

Compiler

Compiled 3910 to 2979 computations (23.8% saved)

prune104.0ms (1.8%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New27610286
Fresh224
Picked235
Done123
Total28117298
Accuracy
100.0%
Counts
298 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.5%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
59.8%
(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
60.9%
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
78.3%
(atan2.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 N)) 2))
53.6%
(atan2.f64 1 (pow.f64 (+.f64 1/2 (+.f64 N (+.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2))))) 2))
60.2%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 3))
59.9%
(atan2.f64 1 (pow.f64 N 2))
52.0%
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
61.1%
(atan2.f64 1 (/.f64 (-.f64 1 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 1 N) (+.f64 1 N)))) (-.f64 1 (fma.f64 N N N))))
60.6%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
50.6%
(atan2.f64 1 (+.f64 1 N))
99.7%
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
60.6%
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
28.5%
(atan2.f64 1 (*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 N 1))))
49.4%
(atan2.f64 1 1)
76.3%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
60.5%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
59.8%
(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
60.9%
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
78.3%
(atan2.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 N)) 2))
53.6%
(atan2.f64 1 (pow.f64 (+.f64 1/2 (+.f64 N (+.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2))))) 2))
60.2%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 3))
59.9%
(atan2.f64 1 (pow.f64 N 2))
52.0%
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
61.1%
(atan2.f64 1 (/.f64 (-.f64 1 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 1 N) (+.f64 1 N)))) (-.f64 1 (fma.f64 N N N))))
60.6%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
50.6%
(atan2.f64 1 (+.f64 1 N))
99.7%
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
60.6%
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
28.5%
(atan2.f64 1 (*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 N 1))))
49.4%
(atan2.f64 1 1)
76.3%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 686 to 536 computations (21.9% saved)

localize352.0ms (6%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2)))
99.9%
(pow.f64 (+.f64 1/2 (+.f64 N (+.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2))))) 2)
99.8%
(/.f64 -3/16 (pow.f64 N 2))
99.6%
(atan2.f64 1 (pow.f64 (+.f64 1/2 (+.f64 N (+.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2))))) 2))
100.0%
(-.f64 (pow.f64 N 3) N)
99.9%
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
91.3%
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
100.0%
(pow.f64 (-.f64 -1/2 N) 2)
99.9%
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
100.0%
(atan2.f64 1 (+.f64 1 N))
99.9%
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
99.8%
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
75.8%
(sqrt.f64 (fma.f64 N (+.f64 N 1) 1))
74.9%
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)
Compiler

Compiled 243 to 183 computations (24.7% saved)

series9.0ms (0.2%)

Counts
13 → 136
Calls

39 calls:

TimeVariablePointExpression
1.0ms
N
@inf
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
1.0ms
N
@-inf
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
0.0ms
N
@-inf
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
0.0ms
N
@-inf
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)
0.0ms
N
@inf
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)

rewrite105.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
286×log1p-expm1-u
286×expm1-log1p-u
279×add-cube-cbrt
278×pow1
274×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040477
1637367
Stop Event
node limit
Counts
13 → 299
Calls
Call 1
Inputs
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
(pow.f64 (-.f64 -1/2 N) 2)
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
(-.f64 (pow.f64 N 3) N)
(atan2.f64 1 (pow.f64 (+.f64 1/2 (+.f64 N (+.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2))))) 2))
(/.f64 -3/16 (pow.f64 N 2))
(pow.f64 (+.f64 1/2 (+.f64 N (+.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2))))) 2)
(+.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))) 1)
(*.f64 1 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/8) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/8))
(*.f64 (pow.f64 1 1/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4) (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(sqrt.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(fabs.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)))
(exp.f64 (*.f64 1/4 (log.f64 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 N (+.f64 N 1) 1))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)))
(+.f64 (+.f64 N (pow.f64 N 2)) 1)
(+.f64 (*.f64 (+.f64 N (pow.f64 N 2)) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1))) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 N (pow.f64 N 2)) 3) 1) (+.f64 (*.f64 (+.f64 N (pow.f64 N 2)) (+.f64 N (pow.f64 N 2))) (-.f64 1 (*.f64 (+.f64 N (pow.f64 N 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 N (pow.f64 N 2)) (+.f64 N (pow.f64 N 2))) 1) (-.f64 (+.f64 N (pow.f64 N 2)) 1))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3) 1/3)
(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))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4) (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4) 3)))
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(pow.f64 (cbrt.f64 (/.f64 -3/16 (pow.f64 N 2))) 3)
(pow.f64 (/.f64 -27/4096 (pow.f64 N 6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 -3/16) N) 2)
(pow.f64 (*.f64 (pow.f64 N 2) -16/3) -1)
(sqrt.f64 (/.f64 9/256 (pow.f64 N 4)))
(log.f64 (exp.f64 (/.f64 -3/16 (pow.f64 N 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -3/16 (pow.f64 N 2)))))
(cbrt.f64 (/.f64 -27/4096 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (/.f64 -3/16 (pow.f64 N 2))))
(exp.f64 (log.f64 (/.f64 -3/16 (pow.f64 N 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 -3/16 (pow.f64 N 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 -3/16 (pow.f64 N 2))))
(+.f64 (*.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) 1/2) (*.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)))))
(+.f64 (*.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)))) (*.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) 1/2))
(+.f64 (*.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) (+.f64 1/2 N)) (*.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(+.f64 (*.f64 1/2 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2))) (*.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2))))
(+.f64 (*.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2))) (*.f64 1/2 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2))))
(+.f64 (*.f64 (+.f64 1/2 N) (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2))) (*.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) 2))) 1)
(*.f64 1 (pow.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) 2))
(*.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) 4)) (cbrt.f64 (pow.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) 2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 2)) (-.f64 1/4 (pow.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 2))) (*.f64 (-.f64 1/2 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)))) (-.f64 1/2 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 3)) (+.f64 1/8 (pow.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 3))) (*.f64 (+.f64 1/4 (*.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) (-.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 1/2))) (+.f64 1/4 (*.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) (-.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 1/2)))))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 3)) (-.f64 1/4 (pow.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 2))) (*.f64 (+.f64 1/4 (*.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) (-.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 1/2))) (-.f64 1/2 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 2)) (+.f64 1/8 (pow.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 3))) (*.f64 (-.f64 1/2 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)))) (+.f64 1/4 (*.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) (-.f64 (+.f64 N (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 1/2)))))
(sqrt.f64 (pow.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 N (+.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1/2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)))) 1)
(-.f64 (/.f64 (/.f64 9/64 (pow.f64 N 2)) (-.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2)))) (/.f64 (/.f64 9/256 (pow.f64 N 4)) (-.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2)))))
(*.f64 1 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 2) (cbrt.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(*.f64 (sqrt.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) (sqrt.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(*.f64 (fma.f64 3/8 (pow.f64 N 2) (*.f64 N -3/16)) (/.f64 1 (pow.f64 N 3)))
(*.f64 (+.f64 (/.f64 27/512 (pow.f64 N 3)) (/.f64 -27/4096 (pow.f64 N 6))) (/.f64 1 (+.f64 (/.f64 9/64 (pow.f64 N 2)) (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 -9/128 (pow.f64 N 3))))))
(*.f64 (-.f64 (/.f64 9/64 (pow.f64 N 2)) (/.f64 9/256 (pow.f64 N 4))) (/.f64 1 (-.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2)))))
(/.f64 1 (/.f64 (pow.f64 N 3) (fma.f64 3/8 (pow.f64 N 2) (*.f64 N -3/16))))
(/.f64 1 (/.f64 (+.f64 (/.f64 9/64 (pow.f64 N 2)) (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 -9/128 (pow.f64 N 3)))) (+.f64 (/.f64 27/512 (pow.f64 N 3)) (/.f64 -27/4096 (pow.f64 N 6)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2))) (-.f64 (/.f64 9/64 (pow.f64 N 2)) (/.f64 9/256 (pow.f64 N 4)))))
(/.f64 (fma.f64 3/8 (pow.f64 N 2) (*.f64 N -3/16)) (pow.f64 N 3))
(/.f64 (+.f64 (/.f64 27/512 (pow.f64 N 3)) (/.f64 -27/4096 (pow.f64 N 6))) (+.f64 (/.f64 9/64 (pow.f64 N 2)) (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 -9/128 (pow.f64 N 3)))))
(/.f64 (-.f64 (/.f64 9/64 (pow.f64 N 2)) (/.f64 9/256 (pow.f64 N 4))) (-.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 N 2) -16/3) (*.f64 (*.f64 N 8/3) 1)) (*.f64 (*.f64 N 8/3) (*.f64 (pow.f64 N 2) -16/3)))
(/.f64 (+.f64 (pow.f64 N 2) (*.f64 (*.f64 N 8/3) -3/16)) (*.f64 (*.f64 N 8/3) (pow.f64 N 2)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (*.f64 N 8/3) 3/16)) (*.f64 (*.f64 N 8/3) (neg.f64 (pow.f64 N 2))))
(/.f64 (+.f64 (*.f64 3/8 (*.f64 (pow.f64 N 2) -16/3)) N) (*.f64 N (*.f64 (pow.f64 N 2) -16/3)))
(/.f64 (+.f64 (*.f64 3/8 (neg.f64 (pow.f64 N 2))) (*.f64 N 3/16)) (*.f64 N (neg.f64 (pow.f64 N 2))))
(/.f64 (+.f64 (*.f64 -3/8 (*.f64 (pow.f64 N 2) -16/3)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 (pow.f64 N 2) -16/3)))
(/.f64 (+.f64 (*.f64 -3/8 (pow.f64 N 2)) (*.f64 (neg.f64 N) -3/16)) (*.f64 (neg.f64 N) (pow.f64 N 2)))
(/.f64 (+.f64 (*.f64 -3/8 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) 3/16)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 2))))
(/.f64 (+.f64 (*.f64 N 8/3) (*.f64 (*.f64 (pow.f64 N 2) -16/3) 1)) (*.f64 (*.f64 (pow.f64 N 2) -16/3) (*.f64 N 8/3)))
(/.f64 (+.f64 N (*.f64 (*.f64 (pow.f64 N 2) -16/3) 3/8)) (*.f64 (*.f64 (pow.f64 N 2) -16/3) N))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (*.f64 (pow.f64 N 2) -16/3) -3/8)) (*.f64 (*.f64 (pow.f64 N 2) -16/3) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 -3/16 (*.f64 N 8/3)) (*.f64 (pow.f64 N 2) 1)) (*.f64 (pow.f64 N 2) (*.f64 N 8/3)))
(/.f64 (+.f64 (*.f64 -3/16 N) (*.f64 (pow.f64 N 2) 3/8)) (pow.f64 N 3))
(/.f64 (+.f64 (*.f64 -3/16 (neg.f64 N)) (*.f64 (pow.f64 N 2) -3/8)) (*.f64 (pow.f64 N 2) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 3/16 (*.f64 N 8/3)) (*.f64 (neg.f64 (pow.f64 N 2)) 1)) (*.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N 8/3)))
(/.f64 (+.f64 (*.f64 3/16 N) (*.f64 (neg.f64 (pow.f64 N 2)) 3/8)) (*.f64 (neg.f64 (pow.f64 N 2)) N))
(/.f64 (+.f64 (*.f64 3/16 (neg.f64 N)) (*.f64 (neg.f64 (pow.f64 N 2)) -3/8)) (*.f64 (neg.f64 (pow.f64 N 2)) (neg.f64 N)))
(/.f64 (neg.f64 (fma.f64 3/8 (pow.f64 N 2) (*.f64 N -3/16))) (neg.f64 (pow.f64 N 3)))
(/.f64 (neg.f64 (+.f64 (/.f64 27/512 (pow.f64 N 3)) (/.f64 -27/4096 (pow.f64 N 6)))) (neg.f64 (+.f64 (/.f64 9/64 (pow.f64 N 2)) (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 -9/128 (pow.f64 N 3))))))
(/.f64 (neg.f64 (-.f64 (/.f64 9/64 (pow.f64 N 2)) (/.f64 9/256 (pow.f64 N 4)))) (neg.f64 (-.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2)))))
(/.f64 (+.f64 (/.f64 -27/4096 (pow.f64 N 6)) (/.f64 27/512 (pow.f64 N 3))) (+.f64 (/.f64 9/256 (pow.f64 N 4)) (-.f64 (/.f64 9/64 (pow.f64 N 2)) (*.f64 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N)))))
(/.f64 (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 9/64 (pow.f64 N 2))) (-.f64 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N)))
(pow.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 2)
(pow.f64 (pow.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 2))
(log.f64 (exp.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)))))
(cbrt.f64 (pow.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(exp.f64 (log.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(fma.f64 1 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2)))
(fma.f64 1 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N))
(fma.f64 3/8 (/.f64 1 N) (/.f64 -3/16 (pow.f64 N 2)))
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(fma.f64 (cbrt.f64 (/.f64 9/256 (pow.f64 N 4))) (cbrt.f64 (/.f64 -3/16 (pow.f64 N 2))) (/.f64 3/8 N))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 3/8 N)) 2) (cbrt.f64 (/.f64 3/8 N)) (/.f64 -3/16 (pow.f64 N 2)))
(fma.f64 (/.f64 (sqrt.f64 -3/16) N) (/.f64 (sqrt.f64 -3/16) N) (/.f64 3/8 N))
(fma.f64 (sqrt.f64 (/.f64 3/8 N)) (sqrt.f64 (/.f64 3/8 N)) (/.f64 -3/16 (pow.f64 N 2)))

simplify191.0ms (3.3%)

Algorithm
egg-herbie
Rules
966×fma-neg
734×fma-def
712×associate-*r*
712×associate-*l*
454×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083516227
1205215560
2776815557
Stop Event
node limit
Counts
435 → 488
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/4 N))
(+.f64 1 (+.f64 (*.f64 5/32 (pow.f64 N 2)) (*.f64 1/4 N)))
(+.f64 1 (+.f64 (*.f64 -17/128 (pow.f64 N 3)) (+.f64 (*.f64 5/32 (pow.f64 N 2)) (*.f64 1/4 N))))
(sqrt.f64 N)
(+.f64 (sqrt.f64 N) (*.f64 1/4 (sqrt.f64 (/.f64 1 N))))
(+.f64 (sqrt.f64 N) (+.f64 (*.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 N)))))
(+.f64 (sqrt.f64 N) (+.f64 (*.f64 -17/128 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))) (+.f64 (*.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 N))))))
(*.f64 (sqrt.f64 N) (sqrt.f64 -1))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 N) (sqrt.f64 -1)))
(+.f64 (*.f64 5/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (sqrt.f64 -1))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 N) (sqrt.f64 -1))))
(+.f64 (*.f64 -17/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 5))) (sqrt.f64 -1))) (+.f64 (*.f64 5/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (sqrt.f64 -1))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 N) (sqrt.f64 -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)))
1
(+.f64 1 (*.f64 3/4 N))
(+.f64 1 (+.f64 (*.f64 21/32 (pow.f64 N 2)) (*.f64 3/4 N)))
(+.f64 1 (+.f64 (*.f64 -19/128 (pow.f64 N 3)) (+.f64 (*.f64 21/32 (pow.f64 N 2)) (*.f64 3/4 N))))
(sqrt.f64 (pow.f64 N 3))
(+.f64 (sqrt.f64 (pow.f64 N 3)) (*.f64 3/4 (sqrt.f64 N)))
(+.f64 (sqrt.f64 (pow.f64 N 3)) (+.f64 (*.f64 21/32 (sqrt.f64 (/.f64 1 N))) (*.f64 3/4 (sqrt.f64 N))))
(+.f64 (sqrt.f64 (pow.f64 N 3)) (+.f64 (*.f64 -19/128 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 21/32 (sqrt.f64 (/.f64 1 N))) (*.f64 3/4 (sqrt.f64 N)))))
(*.f64 (sqrt.f64 (pow.f64 N 3)) (sqrt.f64 -1))
(+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 N) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (pow.f64 N 3)) (sqrt.f64 -1)))
(+.f64 (*.f64 21/32 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1))) (+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 N) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (pow.f64 N 3)) (sqrt.f64 -1))))
(+.f64 (*.f64 -19/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (sqrt.f64 -1))) (+.f64 (*.f64 21/32 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1))) (+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 N) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (pow.f64 N 3)) (sqrt.f64 -1)))))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (-.f64 (*.f64 -1 N) 1/2) 2))
(atan2.f64 1 (pow.f64 (-.f64 (*.f64 -1 N) 1/2) 2))
(atan2.f64 1 (pow.f64 (-.f64 (*.f64 -1 N) 1/2) 2))
(atan2.f64 1 (pow.f64 (-.f64 (*.f64 -1 N) 1/2) 2))
1/4
(+.f64 1/4 N)
(+.f64 1/4 (+.f64 N (pow.f64 N 2)))
(+.f64 1/4 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1/4 (+.f64 N (pow.f64 N 2)))
(+.f64 1/4 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1/4 (+.f64 N (pow.f64 N 2)))
(+.f64 1/4 (+.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 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N)))))
(*.f64 -1 N)
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(pow.f64 N 3)
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(pow.f64 N 3)
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(+.f64 (*.f64 -1 N) (pow.f64 N 3))
(atan2.f64 1 (pow.f64 (-.f64 (+.f64 1/2 (+.f64 N (*.f64 3/8 (/.f64 1 N)))) (*.f64 3/16 (/.f64 1 (pow.f64 N 2)))) 2))
(atan2.f64 1 (pow.f64 (-.f64 (+.f64 1/2 (+.f64 N (*.f64 3/8 (/.f64 1 N)))) (*.f64 3/16 (/.f64 1 (pow.f64 N 2)))) 2))
(atan2.f64 1 (pow.f64 (-.f64 (+.f64 1/2 (+.f64 N (*.f64 3/8 (/.f64 1 N)))) (*.f64 3/16 (/.f64 1 (pow.f64 N 2)))) 2))
(atan2.f64 1 (pow.f64 (-.f64 (+.f64 1/2 (+.f64 N (*.f64 3/8 (/.f64 1 N)))) (*.f64 3/16 (/.f64 1 (pow.f64 N 2)))) 2))
(atan2.f64 1 (pow.f64 (-.f64 (+.f64 1/2 (+.f64 N (*.f64 3/8 (/.f64 1 N)))) (*.f64 3/16 (/.f64 1 (pow.f64 N 2)))) 2))
(atan2.f64 1 (pow.f64 (-.f64 (+.f64 1/2 (+.f64 N (*.f64 3/8 (/.f64 1 N)))) (*.f64 3/16 (/.f64 1 (pow.f64 N 2)))) 2))
(atan2.f64 1 (pow.f64 (-.f64 (+.f64 1/2 (+.f64 N (*.f64 3/8 (/.f64 1 N)))) (*.f64 3/16 (/.f64 1 (pow.f64 N 2)))) 2))
(atan2.f64 1 (pow.f64 (-.f64 (+.f64 1/2 (+.f64 N (*.f64 3/8 (/.f64 1 N)))) (*.f64 3/16 (/.f64 1 (pow.f64 N 2)))) 2))
(atan2.f64 1 (pow.f64 (-.f64 (+.f64 1/2 (*.f64 3/8 (/.f64 1 N))) (+.f64 (*.f64 -1 N) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))) 2))
(atan2.f64 1 (pow.f64 (-.f64 (+.f64 1/2 (*.f64 3/8 (/.f64 1 N))) (+.f64 (*.f64 -1 N) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))) 2))
(atan2.f64 1 (pow.f64 (-.f64 (+.f64 1/2 (*.f64 3/8 (/.f64 1 N))) (+.f64 (*.f64 -1 N) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))) 2))
(atan2.f64 1 (pow.f64 (-.f64 (+.f64 1/2 (*.f64 3/8 (/.f64 1 N))) (+.f64 (*.f64 -1 N) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))) 2))
(/.f64 9/256 (pow.f64 N 4))
(-.f64 (*.f64 9/256 (/.f64 1 (pow.f64 N 4))) (*.f64 9/64 (/.f64 1 (pow.f64 N 3))))
(-.f64 (*.f64 9/256 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 N 2))) (*.f64 9/64 (/.f64 1 (pow.f64 N 3)))))
(-.f64 (+.f64 1 (*.f64 9/256 (/.f64 1 (pow.f64 N 4)))) (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 N 2))) (*.f64 9/64 (/.f64 1 (pow.f64 N 3)))))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(-.f64 (+.f64 1 (+.f64 N (pow.f64 N 2))) (*.f64 3/64 (/.f64 1 (pow.f64 N 2))))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(-.f64 (+.f64 1 (+.f64 N (pow.f64 N 2))) (*.f64 3/64 (/.f64 1 (pow.f64 N 2))))
(/.f64 -3/16 (pow.f64 N 2))
(-.f64 (*.f64 3/8 (/.f64 1 N)) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 3/8 (/.f64 1 N)) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 3/8 (/.f64 1 N)) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))
(/.f64 3/8 N)
(-.f64 (*.f64 3/8 (/.f64 1 N)) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 3/8 (/.f64 1 N)) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 3/8 (/.f64 1 N)) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))
(/.f64 3/8 N)
(-.f64 (*.f64 3/8 (/.f64 1 N)) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 3/8 (/.f64 1 N)) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 3/8 (/.f64 1 N)) (*.f64 3/16 (/.f64 1 (pow.f64 N 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))) 1)
(*.f64 1 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/8) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/8))
(*.f64 (pow.f64 1 1/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4) (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(sqrt.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(fabs.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)))
(exp.f64 (*.f64 1/4 (log.f64 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 N (+.f64 N 1) 1))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4)))
(+.f64 (+.f64 N (pow.f64 N 2)) 1)
(+.f64 (*.f64 (+.f64 N (pow.f64 N 2)) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1))) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 N (pow.f64 N 2)) 3) 1) (+.f64 (*.f64 (+.f64 N (pow.f64 N 2)) (+.f64 N (pow.f64 N 2))) (-.f64 1 (*.f64 (+.f64 N (pow.f64 N 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 N (pow.f64 N 2)) (+.f64 N (pow.f64 N 2))) 1) (-.f64 (+.f64 N (pow.f64 N 2)) 1))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3) 1/3)
(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))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4) (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4) 3) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4)))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N 1) 1)))
(exp.f64 (log.f64 (fma.f64 N (+.f64 N 1) 1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N (+.f64 N 1) 1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N 1) 1)))
(fma.f64 N (+.f64 N 1) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4))) 1)
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4) 1)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/2))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/2)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 N 1)))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 N 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N 1))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 N 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N 1))) (sqrt.f64 (atan2.f64 1 (+.f64 N 1))))
(pow.f64 (atan2.f64 1 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 N 1))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 N 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2)))) 1)
(*.f64 1 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))))
(*.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))) (sqrt.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))))
(pow.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))))
(exp.f64 (log.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))))
(+.f64 (*.f64 (-.f64 -1/2 N) -1/2) (*.f64 (-.f64 -1/2 N) (neg.f64 N)))
(+.f64 (*.f64 -1/2 (-.f64 -1/2 N)) (*.f64 (neg.f64 N) (-.f64 -1/2 N)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 -1/2 N) 2))) 1)
(*.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
(*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 -1/2 N) 4)) (cbrt.f64 (pow.f64 (-.f64 -1/2 N) 2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 N 2)) (-.f64 1/4 (pow.f64 N 2))) (*.f64 (+.f64 -1/2 N) (+.f64 -1/2 N)))
(/.f64 (*.f64 (-.f64 -1/8 (pow.f64 N 3)) (-.f64 -1/8 (pow.f64 N 3))) (*.f64 (+.f64 1/4 (*.f64 N (+.f64 N -1/2))) (+.f64 1/4 (*.f64 N (+.f64 N -1/2)))))
(/.f64 (*.f64 (-.f64 -1/8 (pow.f64 N 3)) (-.f64 1/4 (pow.f64 N 2))) (*.f64 (+.f64 1/4 (*.f64 N (+.f64 N -1/2))) (+.f64 -1/2 N)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 N 2)) (-.f64 -1/8 (pow.f64 N 3))) (*.f64 (+.f64 -1/2 N) (+.f64 1/4 (*.f64 N (+.f64 N -1/2)))))
(sqrt.f64 (pow.f64 (-.f64 -1/2 N) 4))
(log.f64 (exp.f64 (pow.f64 (-.f64 -1/2 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 -1/2 N) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 -1/2 N) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 -1/2 N) 2)))
(exp.f64 (log.f64 (pow.f64 (-.f64 -1/2 N) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 -1/2 N) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 -1/2 N) 2)))
(+.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1)) (neg.f64 (/.f64 N (+.f64 N -1))))
(-.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1)) (/.f64 N (+.f64 N -1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))) 1)
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(*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 1 (+.f64 N -1)))
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(/.f64 (+.f64 (/.f64 27/512 (pow.f64 N 3)) (/.f64 -27/4096 (pow.f64 N 6))) (+.f64 (/.f64 9/64 (pow.f64 N 2)) (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 -9/128 (pow.f64 N 3)))))
(/.f64 (-.f64 (/.f64 9/64 (pow.f64 N 2)) (/.f64 9/256 (pow.f64 N 4))) (-.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 N 2) -16/3) (*.f64 (*.f64 N 8/3) 1)) (*.f64 (*.f64 N 8/3) (*.f64 (pow.f64 N 2) -16/3)))
(/.f64 (+.f64 (pow.f64 N 2) (*.f64 (*.f64 N 8/3) -3/16)) (*.f64 (*.f64 N 8/3) (pow.f64 N 2)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (*.f64 N 8/3) 3/16)) (*.f64 (*.f64 N 8/3) (neg.f64 (pow.f64 N 2))))
(/.f64 (+.f64 (*.f64 3/8 (*.f64 (pow.f64 N 2) -16/3)) N) (*.f64 N (*.f64 (pow.f64 N 2) -16/3)))
(/.f64 (+.f64 (*.f64 3/8 (neg.f64 (pow.f64 N 2))) (*.f64 N 3/16)) (*.f64 N (neg.f64 (pow.f64 N 2))))
(/.f64 (+.f64 (*.f64 -3/8 (*.f64 (pow.f64 N 2) -16/3)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 (pow.f64 N 2) -16/3)))
(/.f64 (+.f64 (*.f64 -3/8 (pow.f64 N 2)) (*.f64 (neg.f64 N) -3/16)) (*.f64 (neg.f64 N) (pow.f64 N 2)))
(/.f64 (+.f64 (*.f64 -3/8 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) 3/16)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 2))))
(/.f64 (+.f64 (*.f64 N 8/3) (*.f64 (*.f64 (pow.f64 N 2) -16/3) 1)) (*.f64 (*.f64 (pow.f64 N 2) -16/3) (*.f64 N 8/3)))
(/.f64 (+.f64 N (*.f64 (*.f64 (pow.f64 N 2) -16/3) 3/8)) (*.f64 (*.f64 (pow.f64 N 2) -16/3) N))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (*.f64 (pow.f64 N 2) -16/3) -3/8)) (*.f64 (*.f64 (pow.f64 N 2) -16/3) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 -3/16 (*.f64 N 8/3)) (*.f64 (pow.f64 N 2) 1)) (*.f64 (pow.f64 N 2) (*.f64 N 8/3)))
(/.f64 (+.f64 (*.f64 -3/16 N) (*.f64 (pow.f64 N 2) 3/8)) (pow.f64 N 3))
(/.f64 (+.f64 (*.f64 -3/16 (neg.f64 N)) (*.f64 (pow.f64 N 2) -3/8)) (*.f64 (pow.f64 N 2) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 3/16 (*.f64 N 8/3)) (*.f64 (neg.f64 (pow.f64 N 2)) 1)) (*.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N 8/3)))
(/.f64 (+.f64 (*.f64 3/16 N) (*.f64 (neg.f64 (pow.f64 N 2)) 3/8)) (*.f64 (neg.f64 (pow.f64 N 2)) N))
(/.f64 (+.f64 (*.f64 3/16 (neg.f64 N)) (*.f64 (neg.f64 (pow.f64 N 2)) -3/8)) (*.f64 (neg.f64 (pow.f64 N 2)) (neg.f64 N)))
(/.f64 (neg.f64 (fma.f64 3/8 (pow.f64 N 2) (*.f64 N -3/16))) (neg.f64 (pow.f64 N 3)))
(/.f64 (neg.f64 (+.f64 (/.f64 27/512 (pow.f64 N 3)) (/.f64 -27/4096 (pow.f64 N 6)))) (neg.f64 (+.f64 (/.f64 9/64 (pow.f64 N 2)) (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 -9/128 (pow.f64 N 3))))))
(/.f64 (neg.f64 (-.f64 (/.f64 9/64 (pow.f64 N 2)) (/.f64 9/256 (pow.f64 N 4)))) (neg.f64 (-.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2)))))
(/.f64 (+.f64 (/.f64 -27/4096 (pow.f64 N 6)) (/.f64 27/512 (pow.f64 N 3))) (+.f64 (/.f64 9/256 (pow.f64 N 4)) (-.f64 (/.f64 9/64 (pow.f64 N 2)) (*.f64 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N)))))
(/.f64 (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 9/64 (pow.f64 N 2))) (-.f64 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N)))
(pow.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 2)
(pow.f64 (pow.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 2))
(log.f64 (exp.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)))))
(cbrt.f64 (pow.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(exp.f64 (log.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(fma.f64 1 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2)))
(fma.f64 1 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N))
(fma.f64 3/8 (/.f64 1 N) (/.f64 -3/16 (pow.f64 N 2)))
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(fma.f64 (cbrt.f64 (/.f64 9/256 (pow.f64 N 4))) (cbrt.f64 (/.f64 -3/16 (pow.f64 N 2))) (/.f64 3/8 N))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 3/8 N)) 2) (cbrt.f64 (/.f64 3/8 N)) (/.f64 -3/16 (pow.f64 N 2)))
(fma.f64 (/.f64 (sqrt.f64 -3/16) N) (/.f64 (sqrt.f64 -3/16) N) (/.f64 3/8 N))
(fma.f64 (sqrt.f64 (/.f64 3/8 N)) (sqrt.f64 (/.f64 3/8 N)) (/.f64 -3/16 (pow.f64 N 2)))
Outputs
1
(+.f64 1 (*.f64 1/4 N))
(fma.f64 1/4 N 1)
(+.f64 1 (+.f64 (*.f64 5/32 (pow.f64 N 2)) (*.f64 1/4 N)))
(+.f64 1 (fma.f64 5/32 (pow.f64 N 2) (*.f64 1/4 N)))
(+.f64 (fma.f64 1/4 N 1) (*.f64 5/32 (pow.f64 N 2)))
(+.f64 1 (+.f64 (*.f64 -17/128 (pow.f64 N 3)) (+.f64 (*.f64 5/32 (pow.f64 N 2)) (*.f64 1/4 N))))
(+.f64 1 (fma.f64 -17/128 (pow.f64 N 3) (fma.f64 5/32 (pow.f64 N 2) (*.f64 1/4 N))))
(+.f64 (fma.f64 -17/128 (pow.f64 N 3) (*.f64 5/32 (pow.f64 N 2))) (fma.f64 1/4 N 1))
(sqrt.f64 N)
(+.f64 (sqrt.f64 N) (*.f64 1/4 (sqrt.f64 (/.f64 1 N))))
(fma.f64 1/4 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 N))
(+.f64 (sqrt.f64 N) (+.f64 (*.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 N)))))
(+.f64 (sqrt.f64 N) (fma.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (sqrt.f64 (/.f64 1 N)))))
(+.f64 (sqrt.f64 N) (+.f64 (*.f64 -17/128 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))) (+.f64 (*.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 N))))))
(+.f64 (sqrt.f64 N) (fma.f64 -17/128 (sqrt.f64 (/.f64 1 (pow.f64 N 5))) (fma.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (sqrt.f64 (/.f64 1 N))))))
(*.f64 (sqrt.f64 N) (sqrt.f64 -1))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 N) (sqrt.f64 -1)))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 N) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1) (fma.f64 1/4 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 N)))
(+.f64 (*.f64 5/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (sqrt.f64 -1))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 N) (sqrt.f64 -1))))
(fma.f64 5/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (sqrt.f64 -1)) (fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 N) (sqrt.f64 -1))))
(fma.f64 5/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) (fma.f64 1/4 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 N))))
(+.f64 (*.f64 -17/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 5))) (sqrt.f64 -1))) (+.f64 (*.f64 5/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (sqrt.f64 -1))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 N) (sqrt.f64 -1)))))
(fma.f64 -17/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 5))) (sqrt.f64 -1)) (fma.f64 5/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (sqrt.f64 -1)) (fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 N) (sqrt.f64 -1)))))
(+.f64 (*.f64 (sqrt.f64 -1) (fma.f64 1/4 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 N))) (*.f64 (sqrt.f64 -1) (fma.f64 -17/128 (sqrt.f64 (/.f64 1 (pow.f64 N 5))) (*.f64 5/32 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))))))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(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)))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(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)))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(fma.f64 N (+.f64 1 N) 1)
1
(+.f64 1 (*.f64 3/4 N))
(+.f64 1 (*.f64 N 3/4))
(fma.f64 N 3/4 1)
(+.f64 1 (+.f64 (*.f64 21/32 (pow.f64 N 2)) (*.f64 3/4 N)))
(+.f64 1 (fma.f64 21/32 (pow.f64 N 2) (*.f64 N 3/4)))
(+.f64 (fma.f64 N 3/4 1) (*.f64 (pow.f64 N 2) 21/32))
(+.f64 1 (+.f64 (*.f64 -19/128 (pow.f64 N 3)) (+.f64 (*.f64 21/32 (pow.f64 N 2)) (*.f64 3/4 N))))
(+.f64 1 (fma.f64 -19/128 (pow.f64 N 3) (fma.f64 21/32 (pow.f64 N 2) (*.f64 N 3/4))))
(+.f64 (fma.f64 (pow.f64 N 3) -19/128 (*.f64 (pow.f64 N 2) 21/32)) (fma.f64 N 3/4 1))
(sqrt.f64 (pow.f64 N 3))
(+.f64 (sqrt.f64 (pow.f64 N 3)) (*.f64 3/4 (sqrt.f64 N)))
(+.f64 (sqrt.f64 (pow.f64 N 3)) (*.f64 (sqrt.f64 N) 3/4))
(fma.f64 (sqrt.f64 N) 3/4 (sqrt.f64 (pow.f64 N 3)))
(+.f64 (sqrt.f64 (pow.f64 N 3)) (+.f64 (*.f64 21/32 (sqrt.f64 (/.f64 1 N))) (*.f64 3/4 (sqrt.f64 N))))
(+.f64 (sqrt.f64 (pow.f64 N 3)) (fma.f64 21/32 (sqrt.f64 (/.f64 1 N)) (*.f64 (sqrt.f64 N) 3/4)))
(+.f64 (sqrt.f64 (pow.f64 N 3)) (fma.f64 (sqrt.f64 N) 3/4 (*.f64 (sqrt.f64 (/.f64 1 N)) 21/32)))
(+.f64 (sqrt.f64 (pow.f64 N 3)) (+.f64 (*.f64 -19/128 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 21/32 (sqrt.f64 (/.f64 1 N))) (*.f64 3/4 (sqrt.f64 N)))))
(+.f64 (sqrt.f64 (pow.f64 N 3)) (fma.f64 -19/128 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (fma.f64 21/32 (sqrt.f64 (/.f64 1 N)) (*.f64 (sqrt.f64 N) 3/4))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) -19/128 (*.f64 (sqrt.f64 (/.f64 1 N)) 21/32)) (fma.f64 (sqrt.f64 N) 3/4 (sqrt.f64 (pow.f64 N 3))))
(*.f64 (sqrt.f64 (pow.f64 N 3)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (pow.f64 N 3)))
(+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 N) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (pow.f64 N 3)) (sqrt.f64 -1)))
(fma.f64 3/4 (*.f64 (sqrt.f64 N) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (pow.f64 N 3))))
(*.f64 (sqrt.f64 -1) (fma.f64 (sqrt.f64 N) 3/4 (sqrt.f64 (pow.f64 N 3))))
(+.f64 (*.f64 21/32 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1))) (+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 N) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (pow.f64 N 3)) (sqrt.f64 -1))))
(fma.f64 21/32 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1)) (fma.f64 3/4 (*.f64 (sqrt.f64 N) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (pow.f64 N 3)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1)) 21/32 (*.f64 (sqrt.f64 -1) (fma.f64 (sqrt.f64 N) 3/4 (sqrt.f64 (pow.f64 N 3)))))
(+.f64 (*.f64 -19/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (sqrt.f64 -1))) (+.f64 (*.f64 21/32 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1))) (+.f64 (*.f64 3/4 (*.f64 (sqrt.f64 N) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (pow.f64 N 3)) (sqrt.f64 -1)))))
(fma.f64 -19/128 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (sqrt.f64 -1)) (fma.f64 21/32 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 -1)) (fma.f64 3/4 (*.f64 (sqrt.f64 N) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (pow.f64 N 3))))))
(+.f64 (*.f64 (sqrt.f64 -1) (fma.f64 (sqrt.f64 N) 3/4 (sqrt.f64 (pow.f64 N 3)))) (*.f64 (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) -19/128 (*.f64 (sqrt.f64 (/.f64 1 N)) 21/32))))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
(atan2.f64 1 (pow.f64 (neg.f64 (+.f64 1/2 N)) 2))
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
(atan2.f64 1 (pow.f64 (-.f64 (*.f64 -1 N) 1/2) 2))
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
(atan2.f64 1 (pow.f64 (-.f64 (*.f64 -1 N) 1/2) 2))
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
(atan2.f64 1 (pow.f64 (-.f64 (*.f64 -1 N) 1/2) 2))
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
(atan2.f64 1 (pow.f64 (-.f64 (*.f64 -1 N) 1/2) 2))
(atan2.f64 1 (pow.f64 (-.f64 -1/2 N) 2))
1/4
(+.f64 1/4 N)
(+.f64 1/4 (+.f64 N (pow.f64 N 2)))
(+.f64 1/4 (fma.f64 N N N))
(+.f64 1/4 (+.f64 N (pow.f64 N 2)))
(+.f64 1/4 (fma.f64 N N N))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1/4 (+.f64 N (pow.f64 N 2)))
(+.f64 1/4 (fma.f64 N N N))
(+.f64 1/4 (+.f64 N (pow.f64 N 2)))
(+.f64 1/4 (fma.f64 N N N))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1/4 (+.f64 N (pow.f64 N 2)))
(+.f64 1/4 (fma.f64 N N N))
(+.f64 1/4 (+.f64 N (pow.f64 N 2)))
(+.f64 1/4 (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 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 N 1)))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
(atan2.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N)))))
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(/.f64 (fma.f64 3/8 (pow.f64 N 2) (*.f64 N -3/16)) (pow.f64 N 3))
(*.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 3/8 (pow.f64 N 2) (*.f64 N -3/16)))
(/.f64 (fma.f64 N -3/16 (*.f64 (pow.f64 N 2) 3/8)) (pow.f64 N 3))
(/.f64 (+.f64 (/.f64 27/512 (pow.f64 N 3)) (/.f64 -27/4096 (pow.f64 N 6))) (+.f64 (/.f64 9/64 (pow.f64 N 2)) (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 -9/128 (pow.f64 N 3)))))
(*.f64 (+.f64 (/.f64 -27/4096 (pow.f64 N 6)) (/.f64 27/512 (pow.f64 N 3))) (/.f64 1 (+.f64 (/.f64 9/64 (pow.f64 N 2)) (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 -9/128 (pow.f64 N 3))))))
(/.f64 (+.f64 (/.f64 -27/4096 (pow.f64 N 6)) (/.f64 27/512 (pow.f64 N 3))) (+.f64 (/.f64 9/256 (pow.f64 N 4)) (+.f64 (/.f64 9/64 (pow.f64 N 2)) (/.f64 9/128 (pow.f64 N 3)))))
(/.f64 (-.f64 (/.f64 9/64 (pow.f64 N 2)) (/.f64 9/256 (pow.f64 N 4))) (-.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2))))
(/.f64 (+.f64 (/.f64 9/64 (pow.f64 N 2)) (/.f64 -9/256 (pow.f64 N 4))) (+.f64 (/.f64 3/16 (pow.f64 N 2)) (/.f64 3/8 N)))
(/.f64 (+.f64 (*.f64 (pow.f64 N 2) -16/3) (*.f64 (*.f64 N 8/3) 1)) (*.f64 (*.f64 N 8/3) (*.f64 (pow.f64 N 2) -16/3)))
(/.f64 (fma.f64 N 8/3 (*.f64 (pow.f64 N 2) -16/3)) (*.f64 (*.f64 (pow.f64 N 3) 8/3) -16/3))
(/.f64 (fma.f64 N 8/3 (*.f64 (pow.f64 N 2) -16/3)) (*.f64 (pow.f64 N 3) -128/9))
(/.f64 (+.f64 (pow.f64 N 2) (*.f64 (*.f64 N 8/3) -3/16)) (*.f64 (*.f64 N 8/3) (pow.f64 N 2)))
(/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (pow.f64 N 3) 8/3))
(*.f64 (/.f64 N (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) 8/3))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (*.f64 N 8/3) 3/16)) (*.f64 (*.f64 N 8/3) (neg.f64 (pow.f64 N 2))))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N 1/2)) (neg.f64 (*.f64 (pow.f64 N 3) 8/3)))
(/.f64 (-.f64 (*.f64 N 1/2) (pow.f64 N 2)) (*.f64 (pow.f64 N 3) -8/3))
(/.f64 (+.f64 (*.f64 3/8 (*.f64 (pow.f64 N 2) -16/3)) N) (*.f64 N (*.f64 (pow.f64 N 2) -16/3)))
(/.f64 (+.f64 N (*.f64 (pow.f64 N 2) -2)) (*.f64 (pow.f64 N 3) -16/3))
(/.f64 (fma.f64 (pow.f64 N 2) -2 N) (*.f64 (pow.f64 N 3) -16/3))
(/.f64 (+.f64 (*.f64 3/8 (neg.f64 (pow.f64 N 2))) (*.f64 N 3/16)) (*.f64 N (neg.f64 (pow.f64 N 2))))
(/.f64 (fma.f64 3/8 (neg.f64 (pow.f64 N 2)) (*.f64 N 3/16)) (pow.f64 (neg.f64 N) 3))
(/.f64 (fma.f64 (pow.f64 N 2) -3/8 (*.f64 N 3/16)) (pow.f64 (neg.f64 N) 3))
(/.f64 (+.f64 (*.f64 -3/8 (*.f64 (pow.f64 N 2) -16/3)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 (pow.f64 N 2) -16/3)))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (pow.f64 N 2) 2)) (*.f64 (pow.f64 (neg.f64 N) 3) -16/3))
(/.f64 (-.f64 (*.f64 2 (pow.f64 N 2)) N) (*.f64 (pow.f64 N 3) 16/3))
(/.f64 (+.f64 (*.f64 -3/8 (pow.f64 N 2)) (*.f64 (neg.f64 N) -3/16)) (*.f64 (neg.f64 N) (pow.f64 N 2)))
(/.f64 (fma.f64 3/8 (neg.f64 (pow.f64 N 2)) (*.f64 N 3/16)) (pow.f64 (neg.f64 N) 3))
(/.f64 (fma.f64 (pow.f64 N 2) -3/8 (*.f64 N 3/16)) (pow.f64 (neg.f64 N) 3))
(/.f64 (+.f64 (*.f64 -3/8 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) 3/16)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 2))))
(*.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 3/8 (pow.f64 N 2) (*.f64 N -3/16)))
(/.f64 (fma.f64 N -3/16 (*.f64 (pow.f64 N 2) 3/8)) (pow.f64 N 3))
(/.f64 (+.f64 (*.f64 N 8/3) (*.f64 (*.f64 (pow.f64 N 2) -16/3) 1)) (*.f64 (*.f64 (pow.f64 N 2) -16/3) (*.f64 N 8/3)))
(/.f64 (fma.f64 N 8/3 (*.f64 (pow.f64 N 2) -16/3)) (*.f64 (*.f64 (pow.f64 N 3) 8/3) -16/3))
(/.f64 (fma.f64 N 8/3 (*.f64 (pow.f64 N 2) -16/3)) (*.f64 (pow.f64 N 3) -128/9))
(/.f64 (+.f64 N (*.f64 (*.f64 (pow.f64 N 2) -16/3) 3/8)) (*.f64 (*.f64 (pow.f64 N 2) -16/3) N))
(/.f64 (+.f64 N (*.f64 (pow.f64 N 2) -2)) (*.f64 (pow.f64 N 3) -16/3))
(/.f64 (fma.f64 (pow.f64 N 2) -2 N) (*.f64 (pow.f64 N 3) -16/3))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (*.f64 (pow.f64 N 2) -16/3) -3/8)) (*.f64 (*.f64 (pow.f64 N 2) -16/3) (neg.f64 N)))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (pow.f64 N 2) 2)) (*.f64 (pow.f64 (neg.f64 N) 3) -16/3))
(/.f64 (-.f64 (*.f64 2 (pow.f64 N 2)) N) (*.f64 (pow.f64 N 3) 16/3))
(/.f64 (+.f64 (*.f64 -3/16 (*.f64 N 8/3)) (*.f64 (pow.f64 N 2) 1)) (*.f64 (pow.f64 N 2) (*.f64 N 8/3)))
(/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (pow.f64 N 3) 8/3))
(*.f64 (/.f64 N (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) 8/3))
(/.f64 (+.f64 (*.f64 -3/16 N) (*.f64 (pow.f64 N 2) 3/8)) (pow.f64 N 3))
(*.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 3/8 (pow.f64 N 2) (*.f64 N -3/16)))
(/.f64 (fma.f64 N -3/16 (*.f64 (pow.f64 N 2) 3/8)) (pow.f64 N 3))
(/.f64 (+.f64 (*.f64 -3/16 (neg.f64 N)) (*.f64 (pow.f64 N 2) -3/8)) (*.f64 (pow.f64 N 2) (neg.f64 N)))
(/.f64 (fma.f64 3/8 (neg.f64 (pow.f64 N 2)) (*.f64 N 3/16)) (pow.f64 (neg.f64 N) 3))
(/.f64 (fma.f64 (pow.f64 N 2) -3/8 (*.f64 N 3/16)) (pow.f64 (neg.f64 N) 3))
(/.f64 (+.f64 (*.f64 3/16 (*.f64 N 8/3)) (*.f64 (neg.f64 (pow.f64 N 2)) 1)) (*.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N 8/3)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N 1/2)) (neg.f64 (*.f64 (pow.f64 N 3) 8/3)))
(/.f64 (-.f64 (*.f64 N 1/2) (pow.f64 N 2)) (*.f64 (pow.f64 N 3) -8/3))
(/.f64 (+.f64 (*.f64 3/16 N) (*.f64 (neg.f64 (pow.f64 N 2)) 3/8)) (*.f64 (neg.f64 (pow.f64 N 2)) N))
(/.f64 (fma.f64 3/8 (neg.f64 (pow.f64 N 2)) (*.f64 N 3/16)) (pow.f64 (neg.f64 N) 3))
(/.f64 (fma.f64 (pow.f64 N 2) -3/8 (*.f64 N 3/16)) (pow.f64 (neg.f64 N) 3))
(/.f64 (+.f64 (*.f64 3/16 (neg.f64 N)) (*.f64 (neg.f64 (pow.f64 N 2)) -3/8)) (*.f64 (neg.f64 (pow.f64 N 2)) (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 3/8 (pow.f64 N 2) (*.f64 N -3/16)))
(/.f64 (fma.f64 N -3/16 (*.f64 (pow.f64 N 2) 3/8)) (pow.f64 N 3))
(/.f64 (neg.f64 (fma.f64 3/8 (pow.f64 N 2) (*.f64 N -3/16))) (neg.f64 (pow.f64 N 3)))
(/.f64 (fma.f64 3/8 (neg.f64 (pow.f64 N 2)) (*.f64 N 3/16)) (pow.f64 (neg.f64 N) 3))
(/.f64 (fma.f64 (pow.f64 N 2) -3/8 (*.f64 N 3/16)) (pow.f64 (neg.f64 N) 3))
(/.f64 (neg.f64 (+.f64 (/.f64 27/512 (pow.f64 N 3)) (/.f64 -27/4096 (pow.f64 N 6)))) (neg.f64 (+.f64 (/.f64 9/64 (pow.f64 N 2)) (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 -9/128 (pow.f64 N 3))))))
(/.f64 (neg.f64 (+.f64 (/.f64 -27/4096 (pow.f64 N 6)) (/.f64 27/512 (pow.f64 N 3)))) (neg.f64 (+.f64 (/.f64 9/64 (pow.f64 N 2)) (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 -9/128 (pow.f64 N 3))))))
(/.f64 (+.f64 (/.f64 -27/512 (pow.f64 N 3)) (/.f64 27/4096 (pow.f64 N 6))) (-.f64 (/.f64 -9/64 (pow.f64 N 2)) (+.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 9/128 (pow.f64 N 3)))))
(/.f64 (neg.f64 (-.f64 (/.f64 9/64 (pow.f64 N 2)) (/.f64 9/256 (pow.f64 N 4)))) (neg.f64 (-.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2)))))
(/.f64 (+.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 -9/64 (pow.f64 N 2))) (+.f64 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 -3/8 N)))
(/.f64 (+.f64 (/.f64 -27/4096 (pow.f64 N 6)) (/.f64 27/512 (pow.f64 N 3))) (+.f64 (/.f64 9/256 (pow.f64 N 4)) (-.f64 (/.f64 9/64 (pow.f64 N 2)) (*.f64 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N)))))
(*.f64 (+.f64 (/.f64 -27/4096 (pow.f64 N 6)) (/.f64 27/512 (pow.f64 N 3))) (/.f64 1 (+.f64 (/.f64 9/64 (pow.f64 N 2)) (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 -9/128 (pow.f64 N 3))))))
(/.f64 (+.f64 (/.f64 -27/4096 (pow.f64 N 6)) (/.f64 27/512 (pow.f64 N 3))) (+.f64 (/.f64 9/256 (pow.f64 N 4)) (+.f64 (/.f64 9/64 (pow.f64 N 2)) (/.f64 9/128 (pow.f64 N 3)))))
(/.f64 (-.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 9/64 (pow.f64 N 2))) (-.f64 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N)))
(/.f64 (neg.f64 (-.f64 (/.f64 9/64 (pow.f64 N 2)) (/.f64 9/256 (pow.f64 N 4)))) (neg.f64 (-.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2)))))
(/.f64 (+.f64 (/.f64 9/256 (pow.f64 N 4)) (/.f64 -9/64 (pow.f64 N 2))) (+.f64 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 -3/8 N)))
(pow.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 1)
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(pow.f64 (cbrt.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 3)
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(pow.f64 (sqrt.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 2)
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(pow.f64 (pow.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 3) 1/3)
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(sqrt.f64 (pow.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 2))
(fabs.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)))
(log.f64 (exp.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)))))
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(cbrt.f64 (pow.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N)) 3))
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(expm1.f64 (log1p.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(exp.f64 (log.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(exp.f64 (*.f64 (log.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))) 1))
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(log1p.f64 (expm1.f64 (fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))))
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(fma.f64 1 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2)))
(-.f64 (/.f64 3/8 N) (/.f64 3/16 (pow.f64 N 2)))
(+.f64 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N))
(fma.f64 1 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N))
(-.f64 (/.f64 3/8 N) (/.f64 3/16 (pow.f64 N 2)))
(+.f64 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N))
(fma.f64 3/8 (/.f64 1 N) (/.f64 -3/16 (pow.f64 N 2)))
(-.f64 (/.f64 3/8 N) (/.f64 3/16 (pow.f64 N 2)))
(+.f64 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N))
(fma.f64 -3/16 (pow.f64 N -2) (/.f64 3/8 N))
(fma.f64 (cbrt.f64 (/.f64 9/256 (pow.f64 N 4))) (cbrt.f64 (/.f64 -3/16 (pow.f64 N 2))) (/.f64 3/8 N))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 3/8 N)) 2) (cbrt.f64 (/.f64 3/8 N)) (/.f64 -3/16 (pow.f64 N 2)))
(-.f64 (/.f64 3/8 N) (/.f64 3/16 (pow.f64 N 2)))
(+.f64 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N))
(fma.f64 (/.f64 (sqrt.f64 -3/16) N) (/.f64 (sqrt.f64 -3/16) N) (/.f64 3/8 N))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 -3/16) N) 2) (/.f64 3/8 N))
(+.f64 (/.f64 3/8 N) (pow.f64 (/.f64 (sqrt.f64 -3/16) N) 2))
(fma.f64 (sqrt.f64 (/.f64 3/8 N)) (sqrt.f64 (/.f64 3/8 N)) (/.f64 -3/16 (pow.f64 N 2)))
(-.f64 (/.f64 3/8 N) (/.f64 3/16 (pow.f64 N 2)))
(+.f64 (/.f64 -3/16 (pow.f64 N 2)) (/.f64 3/8 N))

eval323.0ms (5.5%)

Compiler

Compiled 14270 to 11361 computations (20.4% saved)

prune151.0ms (2.6%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New6046610
Fresh167
Picked325
Done145
Total60918627
Accuracy
100.0%
Counts
627 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.5%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
59.8%
(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)
99.9%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
78.3%
(atan2.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 N)) 2))
53.6%
(atan2.f64 1 (pow.f64 (+.f64 1/2 (+.f64 N (+.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2))))) 2))
60.2%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 3))
52.2%
(atan2.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1)))
61.1%
(atan2.f64 1 (/.f64 (-.f64 1 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 1 N) (+.f64 1 N)))) (-.f64 1 (fma.f64 N N N))))
60.9%
(atan2.f64 1 (+.f64 (*.f64 (-.f64 -1/2 N) -1/2) (*.f64 (-.f64 -1/2 N) (neg.f64 N))))
60.6%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
50.6%
(atan2.f64 1 (+.f64 1 N))
99.8%
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4)))
52.0%
(atan2.f64 1 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 1 (+.f64 N -1))))
60.9%
(atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N)))
60.6%
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
11.9%
(atan2.f64 1 N)
49.4%
(atan2.f64 1 1)
76.3%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 484 to 372 computations (23.1% saved)

regimes23.0ms (0.4%)

Counts
28 → 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 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N)))
(atan2.f64 1 (+.f64 (*.f64 (-.f64 -1/2 N) -1/2) (*.f64 (-.f64 -1/2 N) (neg.f64 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 (pow.f64 (-.f64 -1/2 N) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (/.f64 (pow.f64 N 3) (+.f64 N -1)))
(atan2.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 N)) 2))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)))
(atan2.f64 1 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 1 (+.f64 N -1))))
(atan2.f64 1 (*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 N 1))))
(atan2.f64 1 (pow.f64 (+.f64 1/2 (+.f64 N (+.f64 (/.f64 3/8 N) (/.f64 -3/16 (pow.f64 N 2))))) 2))
(atan2.f64 1 (/.f64 (-.f64 1 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 1 N) (+.f64 1 N)))) (-.f64 1 (fma.f64 N N N))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 3))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 3))
(atan2.f64 1 (pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 3/4)))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/4) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
Outputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Calls

2 calls:

12.0ms
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 298 to 224 computations (24.8% saved)

regimes25.0ms (0.4%)

Counts
11 → 2
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 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N)))
(atan2.f64 1 (+.f64 (*.f64 (-.f64 -1/2 N) -1/2) (*.f64 (-.f64 -1/2 N) (neg.f64 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 (pow.f64 (-.f64 -1/2 N) 2))
Outputs
(atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Calls

2 calls:

18.0ms
N
4.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.6%3N
99.6%2(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 84 to 63 computations (25% saved)

regimes17.0ms (0.3%)

Counts
8 → 3
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 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N)))
(atan2.f64 1 (+.f64 (*.f64 (-.f64 -1/2 N) -1/2) (*.f64 (-.f64 -1/2 N) (neg.f64 N))))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (fma.f64 N N N))
Outputs
(atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (+.f64 (*.f64 (-.f64 -1/2 N) -1/2) (*.f64 (-.f64 -1/2 N) (neg.f64 N))))
Calls

1 calls:

15.0ms
N
Results
AccuracySegmentsBranch
99.2%3N
Compiler

Compiled 55 to 41 computations (25.5% saved)

regimes13.0ms (0.2%)

Counts
5 → 3
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 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N)))
Outputs
(atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N)))
Calls

1 calls:

11.0ms
N
Results
AccuracySegmentsBranch
99.2%3N
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes12.0ms (0.2%)

Counts
4 → 3
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))
Outputs
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (*.f64 (+.f64 N 1) N))
Calls

1 calls:

11.0ms
N
Results
AccuracySegmentsBranch
99.2%3N
Compiler

Compiled 21 to 16 computations (23.8% 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:

3.0ms
N
Results
AccuracySegmentsBranch
50.6%1N
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total -24.4b remaining (-75.4%)

Threshold costs -24.4b (-75.4%)

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
49.4%1N
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.5493895883244022e-9
0.7853981626207668
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch47.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
1.5533631089053459e-9
19804.821227679677
23.0ms
-38426625.95945547
-0.006158574609568322
Results
43.0ms320×body256valid
Compiler

Compiled 422 to 349 computations (17.3% saved)

bsearch47.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
1.5533631089053459e-9
19804.821227679677
22.0ms
-38426625.95945547
-0.006158574609568322
Results
42.0ms320×body256valid
Compiler

Compiled 372 to 309 computations (16.9% saved)

bsearch46.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
1.5533631089053459e-9
19804.821227679677
23.0ms
-38426625.95945547
-0.006158574609568322
Results
42.0ms320×body256valid
Compiler

Compiled 332 to 269 computations (19% saved)

simplify25.0ms (0.4%)

Algorithm
egg-herbie
Rules
100×unsub-neg
96×distribute-lft-neg-in
72×neg-mul-1
58×neg-sub0
56×distribute-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047414
170410
283410
395410
4115410
5149410
6191410
7239410
8298410
9354410
10378410
11400410
12416410
13422410
14423410
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(if (<=.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3022314549036573/604462909807314587353088) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (<=.f64 N -7746191359077253/9007199254740992) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))) (if (<=.f64 N 7746191359077253/9007199254740992) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (+.f64 (*.f64 (-.f64 -1/2 N) -1/2) (*.f64 (-.f64 -1/2 N) (neg.f64 N))))))
(if (<=.f64 N -7746191359077253/9007199254740992) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))) (if (<=.f64 N 7746191359077253/9007199254740992) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N)))))
(if (<=.f64 N -1) (atan2.f64 1 (*.f64 (+.f64 N 1) N)) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 1 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))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(if (<=.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3022314549036573/604462909807314587353088) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (<=.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 3022314549036573/604462909807314587353088) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(if (<=.f64 N -7746191359077253/9007199254740992) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))) (if (<=.f64 N 7746191359077253/9007199254740992) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (+.f64 (*.f64 (-.f64 -1/2 N) -1/2) (*.f64 (-.f64 -1/2 N) (neg.f64 N))))))
(if (<=.f64 N -7746191359077253/9007199254740992) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))) (if (<=.f64 N 7746191359077253/9007199254740992) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (+.f64 (*.f64 -1/2 (-.f64 -1/2 N)) (*.f64 (-.f64 -1/2 N) (neg.f64 N))))))
(if (<=.f64 N -7746191359077253/9007199254740992) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))) (if (<=.f64 N 7746191359077253/9007199254740992) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (-.f64 (*.f64 -1/2 (-.f64 -1/2 N)) (*.f64 N (-.f64 -1/2 N))))))
(if (<=.f64 N -7746191359077253/9007199254740992) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))) (if (<=.f64 N 7746191359077253/9007199254740992) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (+.f64 (*.f64 -1/2 (-.f64 -1/2 N)) (*.f64 N (-.f64 N -1/2))))))
(if (<=.f64 N -7746191359077253/9007199254740992) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))) (if (<=.f64 N 7746191359077253/9007199254740992) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 (*.f64 -1/2 (-.f64 -1/2 N)) (*.f64 N (-.f64 N -1/2))))))
(if (<=.f64 N -7746191359077253/9007199254740992) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))) (if (<=.f64 N 7746191359077253/9007199254740992) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N)))))
(if (or (<=.f64 N -7746191359077253/9007199254740992) (not (<=.f64 N 7746191359077253/9007199254740992))) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))) (atan2.f64 1 (+.f64 1 N)))
(if (or (<=.f64 N -7746191359077253/9007199254740992) (not (<=.f64 N 7746191359077253/9007199254740992))) (atan2.f64 1 (*.f64 (-.f64 -1/2 N) (-.f64 -1/2 N))) (atan2.f64 1 (+.f64 N 1)))
(if (<=.f64 N -1) (atan2.f64 1 (*.f64 (+.f64 N 1) N)) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (*.f64 (+.f64 N 1) N))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (*.f64 N (+.f64 1 N))) (atan2.f64 1 (+.f64 1 N)))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (*.f64 N (+.f64 N 1))) (atan2.f64 1 (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 1)
Compiler

Compiled 128 to 100 computations (21.9% saved)

soundness850.0ms (14.6%)

Rules
1842×fma-def
1628×prod-diff
1538×prod-diff
1376×prod-diff
1358×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
113227
2186927
02154317
14874175
213034113
364624113
022248
1285246
22973246
017106
1225106
22836106
04144294978075
186110146
2305010010
040477
1637367
040477
1637367
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 317 to 242 computations (23.7% saved)

end0.0ms (0%)

preprocess104.0ms (1.8%)

Compiler

Compiled 282 to 218 computations (22.7% saved)

Profiling

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