2atan (example 3.5)

Time bar (total: 5.5s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
100%8.1%0%91.9%0%0%0%1
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.5s (27.7%)

Results
0.0ms512valid
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2.0ms1024valid
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0.0ms256valid
1.0ms1024valid
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0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
1.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
Bogosity

preprocess360.0ms (6.5%)

Algorithm
egg-herbie
Rules
168×fma-define
132×fma-neg
64×sub-neg
44×unsub-neg
40×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
00-0-(atan.f64 N)
00-0-(atan.f64 (+.f64 N 1))
00-0-1
00-0-(+.f64 N 1)
00-0-N
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
133120
261116
3107116
4173116
5266116
6344116
7402116
8453116
9488116
10514116
11516116
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N))))
Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (+.f64 1 (neg.f64 N))) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (-.f64 1 N)) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (+.f64 1 (neg.f64 N))) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (-.f64 1 N)) (atan.f64 (neg.f64 N))))
(-.f64 (atan.f64 (neg.f64 N)) (atan.f64 (-.f64 1 N)))
Compiler

Compiled 48 to 32 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 8 to 6 computations (25% saved)

localize63.0ms (1.1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
7.8%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 20 to 13 computations (35% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
N
@inf
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
1.0ms
N
@-inf
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
1.0ms
N
@0
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

rewrite209.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
1376×prod-diff
1088×unpow-prod-down
708×log1p-expm1-u
708×expm1-log1p-u
644×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
113527
2189027
Stop Event
node limit
Counts
1 → 115
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 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/3))
(*.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 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.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)) 3) (pow.f64 (atan.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 1))
(*.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 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(*.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 (pow.f64 1 1/3) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/3) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3) (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(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))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(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 (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))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))

simplify108.0ms (2%)

Algorithm
egg-herbie
Rules
1718×fma-neg
1396×fma-define
1000×unswap-sqr
476×distribute-lft-in
474×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02624819
15454759
214014707
353624671
Stop Event
node limit
Counts
127 → 131
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 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/3))
(*.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 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.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)) 3) (pow.f64 (atan.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 1))
(*.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 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(*.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 (pow.f64 1 1/3) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/3) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3) (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(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))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(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 (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))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
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))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (log.f64 (exp.f64 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/3))
(-.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 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 1))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(*.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 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(-.f64 (atan.f64 (+.f64 1 N)) (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 (+.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))) (sqrt.f64 (atan.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))) (sqrt.f64 (atan.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/3) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3) (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) 2) (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) 7))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) 8)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 2) (sqrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
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(-.f64 (atan.f64 (+.f64 1 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 (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 (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 (atan.f64 (+.f64 1 N)) (atan.f64 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 (+.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))) (sqrt.f64 (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 (+.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))) (sqrt.f64 (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 (+.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))) (sqrt.f64 (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))

eval52.0ms (0.9%)

Compiler

Compiled 2503 to 1581 computations (36.8% saved)

prune19.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1301131
Fresh000
Picked011
Done000
Total1302132
Accuracy
99.7%
Counts
132 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
7.8%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 17 to 13 computations (23.5% saved)

localize156.0ms (2.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.7%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Compiler

Compiled 21 to 15 computations (28.6% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
N
@inf
(fma.f64 N (+.f64 1 N) 1)
1.0ms
N
@-inf
(fma.f64 N (+.f64 1 N) 1)
1.0ms
N
@inf
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
1.0ms
N
@0
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
1.0ms
N
@-inf
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))

rewrite79.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
664×unpow-prod-down
443×log1p-expm1-u
443×expm1-log1p-u
424×add-exp-log
414×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
110348
2121948
Stop Event
node limit
Counts
2 → 76
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(fma.f64 N (+.f64 1 N) 1)
Outputs
(+.f64 0 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(+.f64 1 (fma.f64 N N N))
(+.f64 (fma.f64 N N N) 1)
(+.f64 (fma.f64 N N N) (log.f64 (E.f64)))
(+.f64 0 (fma.f64 N (+.f64 1 N) 1))
(+.f64 (*.f64 (fma.f64 N N N) 1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))))
(-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(*.f64 (fma.f64 N (+.f64 1 N) 1) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (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 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) 1/3) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (*.f64 (fma.f64 N N N) 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N (+.f64 1 N) -1))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(pow.f64 (E.f64) (log1p.f64 (fma.f64 N N N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 N N N))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 N N N))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 N N N)))) (sqrt.f64 (log1p.f64 (fma.f64 N N N))))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 1 N) 1)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 1 N) 1)))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 N N N))) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 2))

simplify126.0ms (2.3%)

Algorithm
egg-herbie
Rules
728×fma-neg
684×associate-*r*
680×fma-define
578×unswap-sqr
574×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02033580
13523380
28233353
340393352
Stop Event
node limit
Counts
100 → 97
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 0 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(+.f64 1 (fma.f64 N N N))
(+.f64 (fma.f64 N N N) 1)
(+.f64 (fma.f64 N N N) (log.f64 (E.f64)))
(+.f64 0 (fma.f64 N (+.f64 1 N) 1))
(+.f64 (*.f64 (fma.f64 N N N) 1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))))
(-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(*.f64 (fma.f64 N (+.f64 1 N) 1) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (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 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) 1/3) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (*.f64 (fma.f64 N N N) 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N (+.f64 1 N) -1))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(pow.f64 (E.f64) (log1p.f64 (fma.f64 N N N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 N N N))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 N N N))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 N N N)))) (sqrt.f64 (log1p.f64 (fma.f64 N N N))))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 1 N) 1)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 1 N) 1)))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 N N N))) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 2))
Outputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(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 0 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (log.f64 (E.f64)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)) (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 8)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)) (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 8)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1/2)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1/3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(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 (fma.f64 N N N) (log.f64 (E.f64)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 0 (fma.f64 N (+.f64 1 N) 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 (*.f64 (fma.f64 N N N) 1) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))))
(-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.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 (+.f64 1 N) 1) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (fma.f64 N (+.f64 1 N) 1) (log.f64 (E.f64)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 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 1 N) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) 1/3) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (*.f64 (fma.f64 N N N) 1))))
(/.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 (fma.f64 N N N) 3)) (+.f64 1 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1))))
(/.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) (fma.f64 N (+.f64 1 N) -1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 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 1 N) 1) 3) 1/3)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (E.f64) (log1p.f64 (fma.f64 N N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 N N N))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 N N N))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 N N N)))) (sqrt.f64 (log1p.f64 (fma.f64 N N N))))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(log.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 3))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 N N N))) 1/3))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 2))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)

eval54.0ms (1%)

Compiler

Compiled 1473 to 1119 computations (24% saved)

prune31.0ms (0.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New791897
Fresh000
Picked101
Done101
Total811899
Accuracy
99.9%
Counts
99 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
97.6%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
91.2%
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
98.1%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
94.2%
(atan2.f64 1 (pow.f64 N 2))
74.9%
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N (+.f64 1 N) -1)))
50.5%
(atan2.f64 1 (/.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)))))
97.3%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
99.7%
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
99.7%
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
7.7%
(atan2.f64 1 (+.f64 1 N))
57.5%
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))))
91.9%
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
6.1%
(atan2.f64 1 1)
97.5%
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
97.5%
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
61.5%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
52.8%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
Compiler

Compiled 498 to 400 computations (19.7% saved)

localize265.0ms (4.8%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.8%
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)
99.7%
(atan2.f64 1 (/.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)))))
99.4%
(*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1))
52.1%
(/.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))))
100.0%
(fma.f64 N (+.f64 1 N) 1)
100.0%
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
99.7%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
91.2%
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
100.0%
(pow.f64 N 2)
100.0%
(+.f64 N (pow.f64 N 2))
99.7%
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
100.0%
(*.f64 N (+.f64 1 N))
99.7%
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
Compiler

Compiled 206 to 128 computations (37.9% saved)

series146.0ms (2.6%)

Counts
11 → 99
Calls

33 calls:

TimeVariablePointExpression
63.0ms
N
@0
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
21.0ms
N
@-inf
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
20.0ms
N
@0
(/.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))))
18.0ms
N
@inf
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
2.0ms
N
@inf
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)

rewrite206.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1198×log1p-expm1-u
260×associate-*r*
203×expm1-log1p-u
188×pow1
187×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034336
1578273
26119273
Stop Event
node limit
Counts
11 → 351
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(*.f64 N (+.f64 1 N))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(/.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 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1))
(atan2.f64 1 (/.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)))))
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)
Outputs
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.f64 N (pow.f64 N 2))
(+.f64 (pow.f64 N 2) N)
(-.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(-.f64 (/.f64 (pow.f64 N 2) (*.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 4) (*.f64 N (-.f64 1 N))))
(/.f64 1 (/.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (pow.f64 N 3))))
(/.f64 1 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (pow.f64 N 2) (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) (pow.f64 N 3))))
(/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (*.f64 N (-.f64 1 N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (neg.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4))) (neg.f64 (*.f64 N (-.f64 1 N))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 N 2)) (*.f64 N (-.f64 N 1)))
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (+.f64 1 (*.f64 N (-.f64 N 1))))
(/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (+.f64 1 (*.f64 N (-.f64 N 1))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) N) (-.f64 1 N))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(pow.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(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 (hypot.f64 N (sqrt.f64 N)) 6))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(exp.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(exp.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 1))
(fma.f64 1 N (pow.f64 N 2))
(fma.f64 1 (pow.f64 N 2) N)
(fma.f64 N 1 (pow.f64 N 2))
(fma.f64 N N N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (pow.f64 N 2))
(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)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
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(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 1 N) 1))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)) 3) (pow.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1) 1) 3)))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 1 N) 1)))
(log1p.f64 (expm1.f64 (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))
(fma.f64 1 (+.f64 1 N) (pow.f64 N 2))
(fma.f64 1 (fma.f64 N N N) 1)
(fma.f64 N (+.f64 1 N) 1)
(fma.f64 (+.f64 1 N) N 1)
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (cbrt.f64 (+.f64 1 N)) (pow.f64 N 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)) 1)
(fma.f64 (sqrt.f64 (+.f64 1 N)) (sqrt.f64 (+.f64 1 N)) (pow.f64 N 2))
(+.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1)) (fma.f64 (neg.f64 (fma.f64 N N N)) 1 (fma.f64 N N N)))
(+.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1)) (fma.f64 (neg.f64 (+.f64 1 N)) N (fma.f64 N N N)))
(+.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1)) (fma.f64 (neg.f64 N) (+.f64 1 N) (fma.f64 N N N)))
(+.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1)) (fma.f64 (neg.f64 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 N (sqrt.f64 N)) (fma.f64 N N N)))
(+.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (fma.f64 N N N)))
(+.f64 (pow.f64 (fma.f64 N N N) 2) (neg.f64 (fma.f64 N N N)))
(+.f64 (pow.f64 (fma.f64 N N N) 2) (*.f64 (fma.f64 N N N) -1))
(+.f64 (pow.f64 (fma.f64 N N N) 2) (*.f64 -1 (fma.f64 N N N)))
(+.f64 (pow.f64 (fma.f64 N N N) 2) (*.f64 (neg.f64 N) (+.f64 1 N)))
(+.f64 (pow.f64 (fma.f64 N N N) 2) (*.f64 (neg.f64 (+.f64 1 N)) N))
(+.f64 (pow.f64 (fma.f64 N N N) 2) (*.f64 (neg.f64 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 N (sqrt.f64 N))))
(+.f64 (pow.f64 (fma.f64 N N N) 2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2)) (cbrt.f64 (fma.f64 N N N))))
(+.f64 (*.f64 (fma.f64 N (+.f64 1 N) -1) N) (*.f64 (fma.f64 N (+.f64 1 N) -1) (pow.f64 N 2)))
(+.f64 (*.f64 (fma.f64 N (+.f64 1 N) -1) (pow.f64 N 2)) (*.f64 (fma.f64 N (+.f64 1 N) -1) N))
(+.f64 (*.f64 N (fma.f64 N (+.f64 1 N) -1)) (*.f64 (pow.f64 N 2) (fma.f64 N (+.f64 1 N) -1)))
(+.f64 (*.f64 (pow.f64 N 2) (fma.f64 N (+.f64 1 N) -1)) (*.f64 N (fma.f64 N (+.f64 1 N) -1)))
(-.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1) 1) 1)
(-.f64 (pow.f64 (fma.f64 N N N) 2) (fma.f64 N N N))
(-.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) N) (pow.f64 N 2))
(-.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 N 2)) N)
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 N N N) 2) 3) (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)) (+.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 (fma.f64 N N N) 2)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 (fma.f64 N N N) 2)) (pow.f64 (fma.f64 N N N) 2)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (fma.f64 N N N)))
(/.f64 (*.f64 (fma.f64 N (+.f64 1 N) -1) (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (*.f64 (fma.f64 N (+.f64 1 N) -1) (-.f64 (pow.f64 N 2) (pow.f64 N 4))) (*.f64 N (-.f64 1 N)))
(/.f64 (*.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N (+.f64 1 N) -1)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (fma.f64 N (+.f64 1 N) -1)) (*.f64 N (-.f64 1 N)))
(pow.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1)) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 N (sqrt.f64 N)) (sqrt.f64 (fma.f64 N (+.f64 1 N) -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 N N N)) (fma.f64 N (+.f64 1 N) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1))))
(exp.f64 (log.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1))) 1))
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) (neg.f64 (fma.f64 N N N)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) N) (*.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 N 2)))
(+.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 N 2)) (*.f64 (pow.f64 (fma.f64 N N N) 2) N))
(+.f64 (*.f64 N (pow.f64 (fma.f64 N N N) 2)) (*.f64 (pow.f64 N 2) (pow.f64 (fma.f64 N N N) 2)))
(+.f64 (*.f64 (pow.f64 N 2) (pow.f64 (fma.f64 N N N) 2)) (*.f64 N (pow.f64 (fma.f64 N N N) 2)))
(-.f64 (+.f64 1 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)) 1)
(*.f64 1 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6))
(*.f64 (fma.f64 N N N) (pow.f64 (fma.f64 N N N) 2))
(*.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6) 1)
(*.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3))
(*.f64 (pow.f64 (fma.f64 N N N) 2) (fma.f64 N N N))
(*.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 N) 3))
(*.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 3) (pow.f64 (hypot.f64 N (sqrt.f64 N)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) 3) (fma.f64 N N N))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 6) (pow.f64 (cbrt.f64 (hypot.f64 N (sqrt.f64 N))) 6))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 N (sqrt.f64 N))) 6) (pow.f64 (sqrt.f64 (hypot.f64 N (sqrt.f64 N))) 6))
(*.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) N) (+.f64 1 N))
(*.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N N N))
(*.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 1 N)) N)
(*.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 N (sqrt.f64 N)))
(*.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2)) (cbrt.f64 (fma.f64 N N N)))
(/.f64 (pow.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) 3) (pow.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) 3) (pow.f64 (*.f64 N (-.f64 1 N)) 3))
(/.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 (pow.f64 N 2) (pow.f64 N 4))) (*.f64 N (-.f64 1 N)))
(sqrt.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 12))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6))))
(cbrt.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 18))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)))
(exp.f64 (*.f64 6 (log.f64 (hypot.f64 N (sqrt.f64 N)))))
(exp.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (hypot.f64 N (sqrt.f64 N)))) 1))

simplify211.0ms (3.8%)

Algorithm
egg-herbie
Rules
1034×fma-neg
906×cancel-sign-sub-inv
470×fma-define
400×distribute-lft-out
394×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060918969
1136917819
2411416335
Stop Event
node limit
Counts
450 → 365
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
N
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 (*.f64 -1 (*.f64 N (+.f64 2 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 N 2))
(-.f64 (+.f64 (*.f64 -1 (*.f64 N (+.f64 2 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (sqrt.f64 -1) 2))))) (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 4)) (+.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 -2 (+.f64 2 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 N (+.f64 2 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (sqrt.f64 -1) 2))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 6) (+.f64 1 (*.f64 -2 (-.f64 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 (sqrt.f64 -1) 4)) (*.f64 -2 (+.f64 2 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (sqrt.f64 -1) 2)))))))) N)) (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 4)) (+.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4))))) (*.f64 -2 (+.f64 2 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (sqrt.f64 -1) 2)))))
(*.f64 -1 N)
(+.f64 (*.f64 -1 N) (*.f64 2 (pow.f64 N 3)))
(+.f64 (*.f64 -1 N) (+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4)))
(+.f64 (*.f64 -1 N) (+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4)))
(pow.f64 N 4)
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(*.f64 (pow.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) N) (*.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 N 2)))
(+.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 N 2)) (*.f64 (pow.f64 (fma.f64 N N N) 2) N))
(+.f64 (*.f64 N (pow.f64 (fma.f64 N N N) 2)) (*.f64 (pow.f64 N 2) (pow.f64 (fma.f64 N N N) 2)))
(+.f64 (*.f64 (pow.f64 N 2) (pow.f64 (fma.f64 N N N) 2)) (*.f64 N (pow.f64 (fma.f64 N N N) 2)))
(-.f64 (+.f64 1 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)) 1)
(*.f64 1 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6))
(*.f64 (fma.f64 N N N) (pow.f64 (fma.f64 N N N) 2))
(*.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6) 1)
(*.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3))
(*.f64 (pow.f64 (fma.f64 N N N) 2) (fma.f64 N N N))
(*.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 N) 3))
(*.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 3) (pow.f64 (hypot.f64 N (sqrt.f64 N)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) 3) (fma.f64 N N N))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 6) (pow.f64 (cbrt.f64 (hypot.f64 N (sqrt.f64 N))) 6))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 N (sqrt.f64 N))) 6) (pow.f64 (sqrt.f64 (hypot.f64 N (sqrt.f64 N))) 6))
(*.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) N) (+.f64 1 N))
(*.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N N N))
(*.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 1 N)) N)
(*.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 N (sqrt.f64 N)))
(*.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2)) (cbrt.f64 (fma.f64 N N N)))
(/.f64 (pow.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) 3) (pow.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) 3) (pow.f64 (*.f64 N (-.f64 1 N)) 3))
(/.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 (pow.f64 N 2) (pow.f64 N 4))) (*.f64 N (-.f64 1 N)))
(sqrt.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 12))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6))))
(cbrt.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 18))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)))
(exp.f64 (*.f64 6 (log.f64 (hypot.f64 N (sqrt.f64 N)))))
(exp.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (hypot.f64 N (sqrt.f64 N)))) 1))
Outputs
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
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 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
N
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (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 (*.f64 -1 (*.f64 N (+.f64 2 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 N 2))
(fma.f64 N N N)
(-.f64 (+.f64 (*.f64 -1 (*.f64 N (+.f64 2 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (sqrt.f64 -1) 2))))) (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 4)) (+.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 -2 (+.f64 2 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (fma.f64 -1 (*.f64 N (+.f64 2 (*.f64 3 (pow.f64 (sqrt.f64 -1) 2)))) (fma.f64 2 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 2 (+.f64 2 (*.f64 3 (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (+.f64 (pow.f64 N 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) 3)) (+.f64 N -2))
(+.f64 N (+.f64 (+.f64 (pow.f64 N 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) 3)) -2))
(-.f64 (+.f64 (*.f64 -1 (*.f64 N (+.f64 2 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (sqrt.f64 -1) 2))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 6) (+.f64 1 (*.f64 -2 (-.f64 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 (sqrt.f64 -1) 4)) (*.f64 -2 (+.f64 2 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (sqrt.f64 -1) 2)))))))) N)) (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 4)) (+.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4))))) (*.f64 -2 (+.f64 2 (+.f64 (*.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (fma.f64 -1 (*.f64 N (+.f64 2 (*.f64 3 (pow.f64 (sqrt.f64 -1) 2)))) (fma.f64 -1 (/.f64 (-.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 6) 1) (*.f64 -2 (+.f64 (*.f64 3 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (+.f64 2 (*.f64 3 (pow.f64 (sqrt.f64 -1) 2))))))) N) (fma.f64 2 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4))))) (*.f64 2 (+.f64 2 (*.f64 3 (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (-.f64 N (/.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 6) (fma.f64 -2 (fma.f64 3 (pow.f64 (sqrt.f64 -1) 4) -2) 1)) N)) (+.f64 (+.f64 (pow.f64 N 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) 3)) -2))
(+.f64 (-.f64 (+.f64 (pow.f64 N 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) 3)) (/.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 6) (fma.f64 -2 (fma.f64 (pow.f64 (sqrt.f64 -1) 4) 3 -2) 1)) N)) (+.f64 N -2))
(*.f64 -1 N)
(neg.f64 N)
(+.f64 (*.f64 -1 N) (*.f64 2 (pow.f64 N 3)))
(fma.f64 -1 N (*.f64 2 (pow.f64 N 3)))
(-.f64 (*.f64 2 (pow.f64 N 3)) N)
(fma.f64 2 (pow.f64 N 3) (neg.f64 N))
(+.f64 (*.f64 -1 N) (+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4)))
(fma.f64 -1 N (fma.f64 2 (pow.f64 N 3) (pow.f64 N 4)))
(-.f64 (fma.f64 2 (pow.f64 N 3) (pow.f64 N 4)) N)
(-.f64 (*.f64 (pow.f64 N 3) (+.f64 2 N)) N)
(+.f64 (*.f64 -1 N) (+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4)))
(fma.f64 -1 N (fma.f64 2 (pow.f64 N 3) (pow.f64 N 4)))
(-.f64 (fma.f64 2 (pow.f64 N 3) (pow.f64 N 4)) N)
(-.f64 (*.f64 (pow.f64 N 3) (+.f64 2 N)) N)
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4))
(fma.f64 2 (pow.f64 N 3) (pow.f64 N 4))
(*.f64 (pow.f64 N 3) (+.f64 2 N))
(+.f64 (*.f64 -1 N) (+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4)))
(fma.f64 -1 N (fma.f64 2 (pow.f64 N 3) (pow.f64 N 4)))
(-.f64 (fma.f64 2 (pow.f64 N 3) (pow.f64 N 4)) N)
(-.f64 (*.f64 (pow.f64 N 3) (+.f64 2 N)) N)
(+.f64 (*.f64 -1 N) (+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4)))
(fma.f64 -1 N (fma.f64 2 (pow.f64 N 3) (pow.f64 N 4)))
(-.f64 (fma.f64 2 (pow.f64 N 3) (pow.f64 N 4)) N)
(-.f64 (*.f64 (pow.f64 N 3) (+.f64 2 N)) N)
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4))
(fma.f64 2 (pow.f64 N 3) (pow.f64 N 4))
(*.f64 (pow.f64 N 3) (+.f64 2 N))
(+.f64 (*.f64 -1 N) (+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4)))
(fma.f64 -1 N (fma.f64 2 (pow.f64 N 3) (pow.f64 N 4)))
(-.f64 (fma.f64 2 (pow.f64 N 3) (pow.f64 N 4)) N)
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(pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)
(/.f64 (pow.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) 3) (pow.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) 3) (pow.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) 3) (pow.f64 (*.f64 N (-.f64 1 N)) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) 3) (pow.f64 (-.f64 N (pow.f64 N 2)) 3))
(/.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(*.f64 (pow.f64 (fma.f64 N N N) 2) (/.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 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))) (pow.f64 (fma.f64 N N N) 2))
(*.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))) (pow.f64 (hypot.f64 N (sqrt.f64 N)) 4))
(/.f64 (*.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 (pow.f64 N 2) (pow.f64 N 4))) (*.f64 N (-.f64 1 N)))
(*.f64 (pow.f64 (fma.f64 N N N) 2) (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))))
(*.f64 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) (pow.f64 (fma.f64 N N N) 2))
(*.f64 (/.f64 (-.f64 N (/.f64 (pow.f64 N 4) N)) (-.f64 1 N)) (pow.f64 (hypot.f64 N (sqrt.f64 N)) 4))
(sqrt.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 12))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)))
(pow.f64 (fma.f64 N N N) 3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6))))
(pow.f64 (fma.f64 N N N) 3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)
(cbrt.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 18))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)))
(pow.f64 (fma.f64 N N N) 3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)))
(pow.f64 (fma.f64 N N N) 3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)
(exp.f64 (*.f64 6 (log.f64 (hypot.f64 N (sqrt.f64 N)))))
(pow.f64 (fma.f64 N N N) 3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)
(exp.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3))
(pow.f64 (fma.f64 N N N) 3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)
(exp.f64 (*.f64 (*.f64 6 (log.f64 (hypot.f64 N (sqrt.f64 N)))) 1))
(pow.f64 (fma.f64 N N N) 3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 6)

eval214.0ms (3.9%)

Compiler

Compiled 10191 to 6943 computations (31.9% saved)

prune84.0ms (1.5%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New44913462
Fresh6713
Picked325
Done000
Total45822480
Accuracy
100.0%
Counts
480 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
91.4%
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
91.9%
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
97.6%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
91.2%
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))))
94.2%
(atan2.f64 1 (pow.f64 N 2))
99.5%
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
74.7%
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (/.f64 (pow.f64 N 4) N)) (-.f64 1 N))))
99.6%
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) N) (-.f64 1 N))))
74.7%
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (+.f64 1 (*.f64 N (-.f64 N 1))))))
99.4%
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 (pow.f64 N 3/2) (sqrt.f64 N)))))
99.7%
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
74.6%
(atan2.f64 1 (+.f64 1 (*.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (/.f64 1 (*.f64 N (-.f64 1 N))))))
98.7%
(atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (hypot.f64 N (sqrt.f64 N)) (cbrt.f64 (fma.f64 N N N))) (cbrt.f64 (hypot.f64 N (sqrt.f64 N))))))
99.1%
(atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))))
99.4%
(atan2.f64 1 (+.f64 1 (*.f64 N (/.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 1 (*.f64 N (+.f64 N -1)))))))
99.7%
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
7.7%
(atan2.f64 1 (+.f64 1 N))
6.1%
(atan2.f64 1 1)
97.5%
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
61.5%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
52.8%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
Compiler

Compiled 612 to 484 computations (20.9% saved)

localize235.0ms (4.3%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.7%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
98.9%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
98.9%
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
100.0%
(*.f64 N (+.f64 1 N))
100.0%
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
99.7%
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
91.2%
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))))
100.0%
(-.f64 N (/.f64 (pow.f64 N 4) N))
99.7%
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (/.f64 (pow.f64 N 4) N)) (-.f64 1 N))))
99.6%
(/.f64 (-.f64 N (/.f64 (pow.f64 N 4) N)) (-.f64 1 N))
75.6%
(/.f64 (pow.f64 N 4) N)
100.0%
(atan2.f64 1 (+.f64 1 N))
100.0%
(+.f64 N (*.f64 N N))
99.7%
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
Compiler

Compiled 187 to 124 computations (33.7% saved)

series27.0ms (0.5%)

Counts
11 → 120
Calls

33 calls:

TimeVariablePointExpression
3.0ms
N
@0
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
2.0ms
N
@-inf
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
2.0ms
N
@inf
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
2.0ms
N
@-inf
(/.f64 (pow.f64 N 4) N)
1.0ms
N
@-inf
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (/.f64 (pow.f64 N 4) N)) (-.f64 1 N))))

rewrite215.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
972×log1p-expm1-u
254×associate-*r*
211×expm1-log1p-u
196×pow1
195×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033323
1582286
26743286
Stop Event
node limit
Counts
11 → 335
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
(+.f64 N (*.f64 N N))
(atan2.f64 1 (+.f64 1 N))
(/.f64 (pow.f64 N 4) N)
(/.f64 (-.f64 N (/.f64 (pow.f64 N 4) N)) (-.f64 1 N))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (/.f64 (pow.f64 N 4) N)) (-.f64 1 N))))
(-.f64 N (/.f64 (pow.f64 N 4) N))
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
Outputs
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3))
(*.f64 (pow.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6))
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 3/2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(-.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(-.f64 (/.f64 (pow.f64 N 2) (*.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 4) (*.f64 N (-.f64 1 N))))
(*.f64 1 (fma.f64 N N N))
(*.f64 N (+.f64 1 N))
(*.f64 (+.f64 1 N) N)
(*.f64 (fma.f64 N N N) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 (cbrt.f64 (+.f64 1 N)) N))
(*.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 1 N)))
(*.f64 (sqrt.f64 (+.f64 1 N)) (*.f64 (sqrt.f64 (+.f64 1 N)) N))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 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 (-.f64 1 N))))
(*.f64 (*.f64 N (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (+.f64 1 N)))
(*.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)))
(*.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (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 (-.f64 1 N)) (-.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 (-.f64 1 N)))
(/.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 (-.f64 1 N))))
(/.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))) (-.f64 (+.f64 1 (pow.f64 N 2)) N))
(/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (-.f64 (+.f64 1 (pow.f64 N 2)) N))
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) N) (-.f64 1 N))
(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))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(exp.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(exp.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 1))
(fma.f64 1 N (pow.f64 N 2))
(fma.f64 1 (pow.f64 N 2) N)
(fma.f64 N 1 (pow.f64 N 2))
(fma.f64 N N 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 (atan2.f64 1 (+.f64 1 N)))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 N)))
(*.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) (sqrt.f64 (atan2.f64 1 (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 3)
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(*.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 3 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(*.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(pow.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(cbrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3))
(expm1.f64 (log1p.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log1p.f64 (-.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1))
(exp.f64 (log.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3))
(*.f64 (pow.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))

simplify323.0ms (5.8%)

Algorithm
egg-herbie
Rules
1448×fma-neg
996×distribute-lft-in
496×exp-prod
482×div-sub
468×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061615599
1122115067
2382114512
Stop Event
node limit
Counts
455 → 345
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(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)))
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
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 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -1 N))))) (*.f64 -1 (/.f64 N (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -1 N))))) (*.f64 -1 (/.f64 N (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -1 N))))) (*.f64 -1 (/.f64 N (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -1 N))))) (*.f64 -1 (/.f64 N (+.f64 1 (*.f64 -1 N))))))
N
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(*.f64 -1 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(*.f64 -1 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3))
(*.f64 (pow.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
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(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
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(+.f64 N (*.f64 (neg.f64 (pow.f64 N 3)) 1))
(+.f64 (-.f64 N (pow.f64 N 3)) (fma.f64 (neg.f64 (pow.f64 N 3)) 1 (pow.f64 N 3)))
(+.f64 (-.f64 N (pow.f64 N 3)) (fma.f64 (neg.f64 (/.f64 1 N)) (pow.f64 N 4) (pow.f64 N 3)))
(+.f64 (-.f64 N (pow.f64 N 3)) (fma.f64 (neg.f64 N) (pow.f64 N 2) (pow.f64 N 3)))
(+.f64 (-.f64 N (pow.f64 N 3)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 N 3))) (sqrt.f64 (pow.f64 N 3)) (pow.f64 N 3)))
(+.f64 (neg.f64 (pow.f64 N 3)) N)
(*.f64 1 (-.f64 N (pow.f64 N 3)))
(*.f64 (-.f64 N (pow.f64 N 3)) 1)
(*.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) (cbrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 2)) (cbrt.f64 (-.f64 N (pow.f64 N 3))))
(*.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (sqrt.f64 (-.f64 N (pow.f64 N 3))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 3)) (/.f64 1 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 6)))))
(*.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 6)) (/.f64 1 (+.f64 N (pow.f64 N 3))))
(*.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (pow.f64 N 3))) (-.f64 (sqrt.f64 N) (sqrt.f64 (pow.f64 N 3))))
(/.f64 1 (/.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 6))) (-.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 3))))
(/.f64 1 (/.f64 (+.f64 N (pow.f64 N 3)) (-.f64 (pow.f64 N 2) (pow.f64 N 6))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 3)) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 6))))
(/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 6)) (+.f64 N (pow.f64 N 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 3))) (neg.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 6)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 6))) (neg.f64 (+.f64 N (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (pow.f64 N 3)) 3)) (+.f64 (pow.f64 N 2) (-.f64 (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (pow.f64 N 3))) (*.f64 N (neg.f64 (pow.f64 N 3))))))
(/.f64 (-.f64 (pow.f64 N 2) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (pow.f64 N 3)))) (-.f64 N (neg.f64 (pow.f64 N 3))))
(pow.f64 (-.f64 N (pow.f64 N 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) 3)
(pow.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 2))
(log.f64 (exp.f64 (-.f64 N (pow.f64 N 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 N (pow.f64 N 3)))))
(cbrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 N (pow.f64 N 3))))
(log1p.f64 (expm1.f64 (-.f64 N (pow.f64 N 3))))
(exp.f64 (log.f64 (-.f64 N (pow.f64 N 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 N (pow.f64 N 3))) 1))
(fma.f64 1 N (neg.f64 (pow.f64 N 3)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (pow.f64 N 3)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (pow.f64 N 3)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3))
(*.f64 (pow.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(+.f64 0 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(*.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 3 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(*.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(pow.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(cbrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3))
(expm1.f64 (log1p.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log1p.f64 (-.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1))
(exp.f64 (log.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3))
(*.f64 (pow.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
Outputs
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
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 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))
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
(pow.f64 N 3)
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 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -1 N))))) (*.f64 -1 (/.f64 N (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -1 N))))) (*.f64 -1 (/.f64 N (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -1 N))))) (*.f64 -1 (/.f64 N (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -1 N))))) (*.f64 -1 (/.f64 N (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
N
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(*.f64 -1 (pow.f64 N 3))
(neg.f64 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(*.f64 -1 (pow.f64 N 3))
(neg.f64 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
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(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 2)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))

eval323.0ms (5.8%)

Compiler

Compiled 8975 to 6946 computations (22.6% saved)

prune110.0ms (2%)

Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New50911520
Fresh6915
Picked145
Done022
Total51626542
Accuracy
100.0%
Counts
542 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
76.2%
(pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) 3)
91.4%
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
90.9%
(pow.f64 (exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3)) 3)
91.9%
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
76.4%
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 3/2)
97.6%
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) 3)
91.2%
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))))
94.2%
(atan2.f64 1 (pow.f64 N 2))
99.5%
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
99.5%
(atan2.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 N) (-.f64 N (pow.f64 N 3))) -1)))
97.9%
(atan2.f64 1 (+.f64 1 (/.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (cbrt.f64 (-.f64 1 N))) (pow.f64 (cbrt.f64 (-.f64 1 N)) 2))))
74.7%
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (/.f64 (pow.f64 N 4) N)) (-.f64 1 N))))
99.4%
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (/.f64 1 (pow.f64 N -3))) (-.f64 1 N))))
74.7%
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (+.f64 1 (*.f64 N (-.f64 N 1))))))
97.1%
(atan2.f64 1 (+.f64 1 (/.f64 (neg.f64 (pow.f64 N 3)) (-.f64 1 N))))
99.4%
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 (pow.f64 N 3/2) (sqrt.f64 N)))))
99.7%
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
99.4%
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3)))))
99.7%
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
7.7%
(atan2.f64 1 (+.f64 1 N))
6.1%
(atan2.f64 1 1)
97.5%
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
61.5%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
76.3%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
52.8%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
Compiler

Compiled 977 to 772 computations (21% saved)

regimes38.0ms (0.7%)

Counts
44 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
(atan2.f64 1 (pow.f64 N 2))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (/.f64 (neg.f64 (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3)))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) N) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (/.f64 1 (pow.f64 N -3))) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (/.f64 (pow.f64 N 4) N)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (/.f64 (+.f64 1 (pow.f64 N 3)) (+.f64 1 (*.f64 N (+.f64 N -1)))))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (+.f64 1 (*.f64 N (-.f64 N 1))))))
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 (pow.f64 N 3/2) (sqrt.f64 N)))))
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) 3)
(atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))))
(atan2.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 N) (-.f64 N (pow.f64 N 3))) -1)))
(atan2.f64 1 (+.f64 1 (*.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (/.f64 1 (*.f64 N (-.f64 1 N))))))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N (+.f64 1 N) -1)))
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 3/2)
(pow.f64 (exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3)) 3)
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(atan2.f64 1 (+.f64 1 (/.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (cbrt.f64 (-.f64 1 N))) (pow.f64 (cbrt.f64 (-.f64 1 N)) 2))))
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) 3)
(atan2.f64 1 (/.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 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (hypot.f64 N (sqrt.f64 N)) (cbrt.f64 (fma.f64 N N N))) (cbrt.f64 (hypot.f64 N (sqrt.f64 N))))))
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
Outputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
Calls

2 calls:

33.0ms
N
4.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.7%1N
99.7%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

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

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
7.7%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
6.1%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
1-exp
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
12154
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 1)
Outputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 1)
Compiler

Compiled 20 to 17 computations (15% saved)

soundness282.0ms (5.1%)

Rules
1718×fma-neg
1396×fma-define
1376×prod-diff
1088×unpow-prod-down
1000×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
113527
2189027
02624819
15454759
214014707
353624671
Stop Event
node limit
node limit
Compiler

Compiled 135 to 95 computations (29.6% saved)

end0.0ms (0%)

preprocess51.0ms (0.9%)

Compiler

Compiled 74 to 60 computations (18.9% saved)

Profiling

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