2atan (example 3.5)

Time bar (total: 5.4s)

analyze0.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample1.4s (26.4%)

Results
589.0ms2158×body2048valid
540.0ms4510×body256valid
221.0ms1045×body1024valid
71.0ms543×body512valid
Bogosity

preprocess100.0ms (1.8%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
130120
258116
3104116
4170116
5260116
6338116
7396116
8449116
9484116
10510116
11512116
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N))))
Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (+.f64 1 (neg.f64 N))) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (-.f64 1 N)) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (+.f64 1 (neg.f64 N))) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (-.f64 1 N)) (atan.f64 (neg.f64 N))))
(-.f64 (atan.f64 (neg.f64 N)) (atan.f64 (-.f64 1 N)))
Compiler

Compiled 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
72.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 16 to 12 computations (25% saved)

localize79.0ms (1.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
72.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite115.0ms (2.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
113227
2186927
Stop Event
node limit
Counts
1 → 99
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Outputs
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) 2) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (neg.f64 (atan.f64 N)) 2)) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))

simplify117.0ms (2.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02154317
14874175
213034113
364624113
Stop Event
node limit
Counts
111 → 111
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) 2) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (neg.f64 (atan.f64 N)) 2)) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
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(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
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(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.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))
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(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))

eval52.0ms (0.9%)

Compiler

Compiled 1966 to 1205 computations (38.7% saved)

prune14.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh000
Picked011
Done000
Total1102112
Accuracy
99.8%
Counts
112 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
72.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
99.8%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
72.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize33.0ms (0.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.8%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Compiler

Compiled 21 to 15 computations (28.6% saved)

series3.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
2.0ms
N
@0
(fma.f64 N (+.f64 1 N) 1)
0.0ms
N
@inf
(fma.f64 N (+.f64 1 N) 1)
0.0ms
N
@-inf
(fma.f64 N (+.f64 1 N) 1)
0.0ms
N
@-inf
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
0.0ms
N
@0
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))

rewrite59.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
540×unpow-prod-down
445×log1p-expm1-u
444×expm1-log1p-u
416×add-exp-log
414×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
110048
2119948
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 (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))))
(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))))
(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))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.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)))
(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))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 1 N) 1)))

simplify69.0ms (1.3%)

Algorithm
egg-herbie
Rules
1044×fma-def
888×unswap-sqr
640×sqr-pow
636×distribute-lft-in
592×hypot-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01973293
14152889
212012846
353202817
Stop Event
node limit
Counts
92 → 98
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 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 (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))))
(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))))
(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))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.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)))
(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))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 1 N) 1)))
Outputs
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 0 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(+.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 3 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 3)
(+.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))))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(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 (neg.f64 N)) 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 (neg.f64 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 (neg.f64 N)) 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 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.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 (neg.f64 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 (neg.f64 N)) 1))
(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 (neg.f64 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))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (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))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (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 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1/2)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(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 (neg.f64 N)) 1))
(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))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(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 (neg.f64 N)) 1))
(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 (neg.f64 N)) 1))
(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 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(+.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 3 (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 1 (fma.f64 N N N))
(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 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.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 1 (fma.f64 N N N))
(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 (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 (pow.f64 (fma.f64 N N N) 2) 1) (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 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (fma.f64 N (+.f64 1 N) -1))
(/.f64 (fma.f64 N (+.f64 1 N) 1) 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)))
(exp.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))
(+.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)
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 3))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 N N N)))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 N N N))) 1/3))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 N N N)))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(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)
(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)

eval42.0ms (0.8%)

Compiler

Compiled 1471 to 1117 computations (24.1% saved)

prune67.0ms (1.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New841498
Fresh000
Picked011
Done011
Total8416100
Accuracy
99.9%
Counts
100 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
99.8%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
58.8%
(atan2.f64 1 (fma.f64 N N N))
99.4%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
58.2%
(atan2.f64 1 (pow.f64 N 2))
58.8%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
52.5%
(atan2.f64 1 (+.f64 1 N))
99.4%
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
42.2%
(atan2.f64 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))))))
51.7%
(atan2.f64 1 1)
72.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
97.6%
(*.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))
83.8%
(*.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)))))
84.1%
(*.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)))))
97.2%
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
82.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
98.8%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
99.8%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
58.8%
(atan2.f64 1 (fma.f64 N N N))
99.4%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
58.2%
(atan2.f64 1 (pow.f64 N 2))
58.8%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
52.5%
(atan2.f64 1 (+.f64 1 N))
99.4%
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
42.2%
(atan2.f64 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))))))
51.7%
(atan2.f64 1 1)
72.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
97.6%
(*.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))
83.8%
(*.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)))))
84.1%
(*.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)))))
97.2%
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
82.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
Compiler

Compiled 834 to 678 computations (18.7% saved)

localize439.0ms (8.1%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.9%
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
99.8%
(atan2.f64 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))))))
99.8%
(cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
91.1%
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.8%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
99.6%
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
91.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
99.8%
(atan2.f64 1 (fma.f64 N N N))
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.8%
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
99.8%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
88.4%
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
Compiler

Compiled 182 to 122 computations (33% saved)

series19.0ms (0.3%)

Counts
10 → 73
Calls

30 calls:

TimeVariablePointExpression
3.0ms
N
@-inf
(cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
2.0ms
N
@inf
(cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
2.0ms
N
@-inf
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
1.0ms
N
@0
(cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
1.0ms
N
@0
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))

rewrite139.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
816×log1p-expm1-u
815×expm1-log1p-u
662×prod-diff
496×expm1-udef
496×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028307
1390303
23992303
Stop Event
node limit
Counts
10 → 227
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
(atan2.f64 1 (fma.f64 N N N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))
(cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(atan2.f64 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))))))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3))
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(*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6))
(*.f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 1/3) (pow.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) 2)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3)
(sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(fabs.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))
(*.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2) 1)
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/4))
(*.f64 (pow.f64 1 5/2) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 5/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 5/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 5/2) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 5/2))
(*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 5/2) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 5/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)) 1) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)) (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6))) (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6)))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2)))
(exp.f64 (*.f64 5/2 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (*.f64 5/2 (log1p.f64 (fma.f64 N N N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2)))

simplify134.0ms (2.5%)

Algorithm
egg-herbie
Rules
1608×fma-def
656×exp-prod
652×sqr-pow
590×associate-*r*
574×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049811778
1103210647
2341510000
Stop Event
node limit
Counts
300 → 335
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 N))
(+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N)))
(+.f64 1 (+.f64 (*.f64 -13/81 (pow.f64 N 3)) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N))))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
1
(+.f64 1 (*.f64 5/6 N))
(+.f64 1 (+.f64 (*.f64 55/72 (pow.f64 N 2)) (*.f64 5/6 N)))
(+.f64 1 (+.f64 (*.f64 -145/1296 (pow.f64 N 3)) (+.f64 (*.f64 55/72 (pow.f64 N 2)) (*.f64 5/6 N))))
(pow.f64 (pow.f64 N 5) 1/3)
(+.f64 (*.f64 5/6 (pow.f64 (*.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 (pow.f64 N 5) 1/3))
(+.f64 (*.f64 55/72 (pow.f64 (/.f64 1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 (pow.f64 N 5) 1/3)))
(+.f64 (*.f64 -145/1296 (pow.f64 (/.f64 1 (pow.f64 N 4)) 1/3)) (+.f64 (*.f64 55/72 (pow.f64 (/.f64 1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 (pow.f64 N 5) 1/3))))
(pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)
(+.f64 (*.f64 5/6 (pow.f64 (*.f64 -1 (pow.f64 N 2)) 1/3)) (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3))
(+.f64 (*.f64 55/72 (pow.f64 (/.f64 -1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 -1 (pow.f64 N 2)) 1/3)) (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)))
(+.f64 (*.f64 -145/1296 (pow.f64 (/.f64 -1 (pow.f64 N 4)) 1/3)) (+.f64 (*.f64 55/72 (pow.f64 (/.f64 -1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 -1 (pow.f64 N 2)) 1/3)) (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3))))
1
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 -1) 2)))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 -1) 2)))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 -1) 2)))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 -1) 2)))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 5) 1/6))))
1
(+.f64 1 (*.f64 5/2 N))
(+.f64 1 (+.f64 (*.f64 5/2 N) (*.f64 35/8 (pow.f64 N 2))))
(+.f64 1 (+.f64 (*.f64 5/2 N) (+.f64 (*.f64 65/16 (pow.f64 N 3)) (*.f64 35/8 (pow.f64 N 2)))))
(pow.f64 N 5)
(+.f64 (*.f64 5/2 (pow.f64 N 4)) (pow.f64 N 5))
(+.f64 (*.f64 5/2 (pow.f64 N 4)) (+.f64 (*.f64 35/8 (pow.f64 N 3)) (pow.f64 N 5)))
(+.f64 (*.f64 5/2 (pow.f64 N 4)) (+.f64 (*.f64 65/16 (pow.f64 N 2)) (+.f64 (*.f64 35/8 (pow.f64 N 3)) (pow.f64 N 5))))
(*.f64 -1 (pow.f64 N 5))
(+.f64 (*.f64 -5/2 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 5)))
(+.f64 (*.f64 -35/8 (pow.f64 N 3)) (+.f64 (*.f64 -5/2 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 5))))
(+.f64 (*.f64 -35/8 (pow.f64 N 3)) (+.f64 (*.f64 -65/16 (pow.f64 N 2)) (+.f64 (*.f64 -5/2 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 5)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(*.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2/3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
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(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))
(*.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2) 1)
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/4))
(*.f64 (pow.f64 1 5/2) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 5/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 5/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 5/2) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 5/2))
(*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 5/2) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 5/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)) 1) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)) (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6))) (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6)))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2)))
(exp.f64 (*.f64 5/2 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (*.f64 5/2 (log1p.f64 (fma.f64 N N N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2)))
Outputs
1
(+.f64 1 (*.f64 1/3 N))
(fma.f64 1/3 N 1)
(+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N)))
(+.f64 1 (fma.f64 2/9 (pow.f64 N 2) (*.f64 1/3 N)))
(+.f64 1 (fma.f64 1/3 N (*.f64 2/9 (pow.f64 N 2))))
(fma.f64 1/3 N (fma.f64 2/9 (pow.f64 N 2) 1))
(+.f64 1 (+.f64 (*.f64 -13/81 (pow.f64 N 3)) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N))))
(+.f64 1 (fma.f64 -13/81 (pow.f64 N 3) (fma.f64 2/9 (pow.f64 N 2) (*.f64 1/3 N))))
(+.f64 1 (fma.f64 -13/81 (pow.f64 N 3) (fma.f64 1/3 N (*.f64 2/9 (pow.f64 N 2)))))
(fma.f64 -13/81 (pow.f64 N 3) (fma.f64 1/3 N (fma.f64 2/9 (pow.f64 N 2) 1)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
1
(+.f64 1 (*.f64 5/6 N))
(+.f64 1 (*.f64 N 5/6))
(fma.f64 N 5/6 1)
(+.f64 1 (+.f64 (*.f64 55/72 (pow.f64 N 2)) (*.f64 5/6 N)))
(+.f64 1 (fma.f64 55/72 (pow.f64 N 2) (*.f64 N 5/6)))
(+.f64 1 (fma.f64 N 5/6 (*.f64 (pow.f64 N 2) 55/72)))
(fma.f64 (pow.f64 N 2) 55/72 (fma.f64 N 5/6 1))
(+.f64 1 (+.f64 (*.f64 -145/1296 (pow.f64 N 3)) (+.f64 (*.f64 55/72 (pow.f64 N 2)) (*.f64 5/6 N))))
(+.f64 1 (fma.f64 -145/1296 (pow.f64 N 3) (fma.f64 55/72 (pow.f64 N 2) (*.f64 N 5/6))))
(+.f64 1 (fma.f64 (pow.f64 N 3) -145/1296 (fma.f64 N 5/6 (*.f64 (pow.f64 N 2) 55/72))))
(fma.f64 (pow.f64 N 3) -145/1296 (fma.f64 (pow.f64 N 2) 55/72 (fma.f64 N 5/6 1)))
(pow.f64 (pow.f64 N 5) 1/3)
(cbrt.f64 (pow.f64 N 5))
(+.f64 (*.f64 5/6 (pow.f64 (*.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 (pow.f64 N 5) 1/3))
(fma.f64 5/6 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 (pow.f64 N 5)))
(+.f64 (*.f64 55/72 (pow.f64 (/.f64 1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 (pow.f64 N 5) 1/3)))
(fma.f64 55/72 (cbrt.f64 (/.f64 1 N)) (fma.f64 5/6 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 (pow.f64 N 5))))
(+.f64 (*.f64 -145/1296 (pow.f64 (/.f64 1 (pow.f64 N 4)) 1/3)) (+.f64 (*.f64 55/72 (pow.f64 (/.f64 1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 (pow.f64 N 5) 1/3))))
(fma.f64 -145/1296 (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (fma.f64 55/72 (cbrt.f64 (/.f64 1 N)) (fma.f64 5/6 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 (pow.f64 N 5)))))
(pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)
(cbrt.f64 (neg.f64 (pow.f64 N 5)))
(+.f64 (*.f64 5/6 (pow.f64 (*.f64 -1 (pow.f64 N 2)) 1/3)) (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3))
(fma.f64 5/6 (cbrt.f64 (neg.f64 (pow.f64 N 2))) (cbrt.f64 (neg.f64 (pow.f64 N 5))))
(+.f64 (*.f64 55/72 (pow.f64 (/.f64 -1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 -1 (pow.f64 N 2)) 1/3)) (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)))
(fma.f64 55/72 (cbrt.f64 (/.f64 -1 N)) (fma.f64 5/6 (cbrt.f64 (neg.f64 (pow.f64 N 2))) (cbrt.f64 (neg.f64 (pow.f64 N 5)))))
(+.f64 (*.f64 -145/1296 (pow.f64 (/.f64 -1 (pow.f64 N 4)) 1/3)) (+.f64 (*.f64 55/72 (pow.f64 (/.f64 -1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 -1 (pow.f64 N 2)) 1/3)) (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3))))
(fma.f64 -145/1296 (cbrt.f64 (/.f64 -1 (pow.f64 N 4))) (fma.f64 55/72 (cbrt.f64 (/.f64 -1 N)) (fma.f64 5/6 (cbrt.f64 (neg.f64 (pow.f64 N 2))) (cbrt.f64 (neg.f64 (pow.f64 N 5))))))
1
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6)))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6)))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6)))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6)))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6)))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6)))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6)))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6)))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 -1) 2)))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (neg.f64 N)) 1) 5) 1/6)))
(atan2.f64 1 (*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (*.f64 -1 (sqrt.f64 N)))))))
(atan2.f64 1 (*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (neg.f64 (sqrt.f64 N)))))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 -1) 2)))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (neg.f64 N)) 1) 5) 1/6)))
(atan2.f64 1 (*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (*.f64 -1 (sqrt.f64 N)))))))
(atan2.f64 1 (*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (neg.f64 (sqrt.f64 N)))))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 -1) 2)))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (neg.f64 N)) 1) 5) 1/6)))
(atan2.f64 1 (*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (*.f64 -1 (sqrt.f64 N)))))))
(atan2.f64 1 (*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (neg.f64 (sqrt.f64 N)))))))
(atan2.f64 1 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 -1) 2)))) 1/3) (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 5) 1/6))))
(atan2.f64 1 (*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (neg.f64 N)) 1) 5) 1/6)))
(atan2.f64 1 (*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (*.f64 -1 (sqrt.f64 N)))))))
(atan2.f64 1 (*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5) 1/6) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (neg.f64 (sqrt.f64 N)))))))
1
(+.f64 1 (*.f64 5/2 N))
(+.f64 1 (*.f64 N 5/2))
(fma.f64 N 5/2 1)
(+.f64 1 (+.f64 (*.f64 5/2 N) (*.f64 35/8 (pow.f64 N 2))))
(+.f64 1 (fma.f64 5/2 N (*.f64 (pow.f64 N 2) 35/8)))
(+.f64 1 (fma.f64 N 5/2 (*.f64 (pow.f64 N 2) 35/8)))
(fma.f64 (pow.f64 N 2) 35/8 (fma.f64 N 5/2 1))
(+.f64 1 (+.f64 (*.f64 5/2 N) (+.f64 (*.f64 65/16 (pow.f64 N 3)) (*.f64 35/8 (pow.f64 N 2)))))
(+.f64 1 (fma.f64 5/2 N (fma.f64 65/16 (pow.f64 N 3) (*.f64 (pow.f64 N 2) 35/8))))
(+.f64 1 (fma.f64 N 5/2 (fma.f64 (pow.f64 N 2) 35/8 (*.f64 (pow.f64 N 3) 65/16))))
(+.f64 (fma.f64 N 5/2 1) (*.f64 (pow.f64 N 2) (+.f64 35/8 (*.f64 65/16 N))))
(pow.f64 N 5)
(+.f64 (*.f64 5/2 (pow.f64 N 4)) (pow.f64 N 5))
(fma.f64 5/2 (pow.f64 N 4) (pow.f64 N 5))
(fma.f64 (pow.f64 N 4) 5/2 (pow.f64 N 5))
(+.f64 (*.f64 5/2 (pow.f64 N 4)) (+.f64 (*.f64 35/8 (pow.f64 N 3)) (pow.f64 N 5)))
(fma.f64 5/2 (pow.f64 N 4) (fma.f64 35/8 (pow.f64 N 3) (pow.f64 N 5)))
(fma.f64 (pow.f64 N 4) 5/2 (fma.f64 (pow.f64 N 3) 35/8 (pow.f64 N 5)))
(fma.f64 (pow.f64 N 3) 35/8 (fma.f64 (pow.f64 N 4) 5/2 (pow.f64 N 5)))
(+.f64 (*.f64 5/2 (pow.f64 N 4)) (+.f64 (*.f64 65/16 (pow.f64 N 2)) (+.f64 (*.f64 35/8 (pow.f64 N 3)) (pow.f64 N 5))))
(fma.f64 5/2 (pow.f64 N 4) (fma.f64 65/16 (pow.f64 N 2) (fma.f64 35/8 (pow.f64 N 3) (pow.f64 N 5))))
(fma.f64 (pow.f64 N 4) 5/2 (fma.f64 (pow.f64 N 2) 65/16 (fma.f64 (pow.f64 N 3) 35/8 (pow.f64 N 5))))
(fma.f64 (pow.f64 N 2) 65/16 (fma.f64 (pow.f64 N 3) 35/8 (fma.f64 (pow.f64 N 4) 5/2 (pow.f64 N 5))))
(*.f64 -1 (pow.f64 N 5))
(neg.f64 (pow.f64 N 5))
(+.f64 (*.f64 -5/2 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 5)))
(fma.f64 -5/2 (pow.f64 N 4) (neg.f64 (pow.f64 N 5)))
(-.f64 (*.f64 (pow.f64 N 4) -5/2) (pow.f64 N 5))
(+.f64 (*.f64 -35/8 (pow.f64 N 3)) (+.f64 (*.f64 -5/2 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 5))))
(fma.f64 -35/8 (pow.f64 N 3) (fma.f64 -5/2 (pow.f64 N 4) (neg.f64 (pow.f64 N 5))))
(-.f64 (fma.f64 (pow.f64 N 3) -35/8 (*.f64 (pow.f64 N 4) -5/2)) (pow.f64 N 5))
(+.f64 (*.f64 -35/8 (pow.f64 N 3)) (+.f64 (*.f64 -65/16 (pow.f64 N 2)) (+.f64 (*.f64 -5/2 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 5)))))
(fma.f64 -35/8 (pow.f64 N 3) (fma.f64 -65/16 (pow.f64 N 2) (fma.f64 -5/2 (pow.f64 N 4) (neg.f64 (pow.f64 N 5)))))
(fma.f64 (pow.f64 N 3) -35/8 (-.f64 (fma.f64 (pow.f64 N 2) -65/16 (*.f64 (pow.f64 N 4) -5/2)) (pow.f64 N 5)))
(-.f64 (fma.f64 (pow.f64 N 3) -35/8 (fma.f64 (pow.f64 N 2) -65/16 (*.f64 (pow.f64 N 4) -5/2))) (pow.f64 N 5))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) 1)
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 1 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))
(*.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6))
(*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)) 4))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3)
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 2)
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3)
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2/3)
(*.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(pow.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) 4)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1/3))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 1))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))) 1)
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (pow.f64 (cbrt.f64 (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 N 1) 1)))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(atan2.f64 1 (pow.f64 (cbrt.f64 (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 N 1) 1)) 3) 1/3)
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 3)
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2)
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (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 N 1) 1))))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 1))
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(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 1))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2))) 1)
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
(*.f64 1 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2) 1)
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)))
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6))
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/4))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
(*.f64 (pow.f64 1 5/2) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 5/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 5/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 5/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) 5/2))
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) 5/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 5/2) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 5/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 5/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) 5/2))
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) 5/2))
(*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 5/2) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 5/2))
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 5)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)) 1) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6))
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5)) (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6))) (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6)))
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
(log.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2)))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2))))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2) 3))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2)))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
(exp.f64 (*.f64 5/2 (log1p.f64 (fma.f64 N N N))))
(pow.f64 (exp.f64 5/2) (log1p.f64 (fma.f64 N N N)))
(pow.f64 (exp.f64 (log1p.f64 (fma.f64 N N N))) 5/2)
(exp.f64 (*.f64 (*.f64 5/2 (log1p.f64 (fma.f64 N N N))) 1))
(pow.f64 (exp.f64 5/2) (log1p.f64 (fma.f64 N N N)))
(pow.f64 (exp.f64 (log1p.f64 (fma.f64 N N N))) 5/2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2)))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)

eval514.0ms (9.4%)

Compiler

Compiled 14213 to 10453 computations (26.5% saved)

prune127.0ms (2.3%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New70211713
Fresh639
Picked235
Done022
Total71019729
Accuracy
99.9%
Counts
729 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.6%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
99.8%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
58.8%
(atan2.f64 1 (fma.f64 N N N))
57.8%
(atan2.f64 1 (pow.f64 (cbrt.f64 (pow.f64 N 2)) 3))
58.2%
(atan2.f64 1 (pow.f64 N 2))
58.8%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
52.5%
(atan2.f64 1 (+.f64 1 N))
99.4%
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
99.3%
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))))
85.1%
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))))))
85.1%
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
22.5%
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))))
51.7%
(atan2.f64 1 1)
72.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
56.3%
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))))
82.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
82.0%
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)) 3))
40.6%
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3))
82.1%
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3/2)))
58.6%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
99.8%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
58.8%
(atan2.f64 1 (fma.f64 N N N))
57.8%
(atan2.f64 1 (pow.f64 (cbrt.f64 (pow.f64 N 2)) 3))
58.2%
(atan2.f64 1 (pow.f64 N 2))
58.8%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
52.5%
(atan2.f64 1 (+.f64 1 N))
99.4%
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
99.3%
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))))
85.1%
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))))))
85.1%
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
22.5%
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))))
51.7%
(atan2.f64 1 1)
72.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
56.3%
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))))
82.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
82.0%
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)) 3))
40.6%
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3))
82.1%
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3/2)))
Compiler

Compiled 936 to 754 computations (19.4% saved)

localize350.0ms (6.4%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
99.8%
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
83.6%
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))
80.1%
(cbrt.f64 (fma.f64 N (+.f64 N 1) 1))
99.8%
(atan2.f64 1 (fma.f64 N N N))
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
80.1%
(sqrt.f64 (atan2.f64 1 (fma.f64 N N N)))
99.8%
(atan2.f64 1 (pow.f64 N 2))
99.1%
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3)
81.4%
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3))
100.0%
(atan2.f64 1 (+.f64 1 N))
99.8%
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
99.8%
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
99.6%
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
80.1%
(cbrt.f64 (fma.f64 N (+.f64 N 1) 1))
Compiler

Compiled 223 to 160 computations (28.3% saved)

series9.0ms (0.2%)

Counts
13 → 88
Calls

39 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
1.0ms
N
@inf
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3)
1.0ms
N
@-inf
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3)
1.0ms
N
@0
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3)
0.0ms
N
@inf
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)

rewrite144.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
953×log1p-expm1-u
752×prod-diff
576×log1p-udef
572×expm1-udef
279×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033387
1494375
24672375
Stop Event
node limit
Counts
13 → 267
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 N (+.f64 N 1) 1))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(atan2.f64 1 (+.f64 1 N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3))
(pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3)
(atan2.f64 1 (pow.f64 N 2))
(sqrt.f64 (atan2.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
(cbrt.f64 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)))
(*.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(fabs.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))) 1)
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(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)))
(*.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(fabs.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))
(*.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 1)
(pow.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2)
(sqrt.f64 (*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))

simplify148.0ms (2.7%)

Algorithm
egg-herbie
Rules
842×exp-prod
806×log-prod
726×fma-def
716×cube-prod
652×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045210362
184110106
230649304
Stop Event
node limit
Counts
355 → 284
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 N))
(+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N)))
(+.f64 1 (+.f64 (*.f64 -13/81 (pow.f64 N 3)) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N))))
1
(+.f64 1 (*.f64 2/3 N))
(+.f64 1 (+.f64 (*.f64 5/9 (pow.f64 N 2)) (*.f64 2/3 N)))
(+.f64 1 (+.f64 (*.f64 -14/81 (pow.f64 N 3)) (+.f64 (*.f64 5/9 (pow.f64 N 2)) (*.f64 2/3 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
1
(+.f64 1 (*.f64 1/3 N))
(+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N)))
(+.f64 1 (+.f64 (*.f64 -13/81 (pow.f64 N 3)) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N))))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)))
(*.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(fabs.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(exp.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1)
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(exp.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (fma.f64 N N N)))))
(exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
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(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 1)
(pow.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2)
(sqrt.f64 (*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))
Outputs
1
(+.f64 1 (*.f64 1/3 N))
(fma.f64 1/3 N 1)
(+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N)))
(+.f64 1 (fma.f64 2/9 (pow.f64 N 2) (*.f64 1/3 N)))
(+.f64 1 (fma.f64 1/3 N (*.f64 2/9 (pow.f64 N 2))))
(fma.f64 1/3 N (fma.f64 2/9 (pow.f64 N 2) 1))
(+.f64 1 (+.f64 (*.f64 -13/81 (pow.f64 N 3)) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N))))
(+.f64 1 (fma.f64 -13/81 (pow.f64 N 3) (fma.f64 2/9 (pow.f64 N 2) (*.f64 1/3 N))))
(+.f64 1 (fma.f64 -13/81 (pow.f64 N 3) (fma.f64 1/3 N (*.f64 2/9 (pow.f64 N 2)))))
(fma.f64 -13/81 (pow.f64 N 3) (fma.f64 1/3 N (fma.f64 2/9 (pow.f64 N 2) 1)))
1
(+.f64 1 (*.f64 2/3 N))
(+.f64 1 (*.f64 N 2/3))
(fma.f64 N 2/3 1)
(+.f64 1 (+.f64 (*.f64 5/9 (pow.f64 N 2)) (*.f64 2/3 N)))
(+.f64 1 (fma.f64 5/9 (pow.f64 N 2) (*.f64 N 2/3)))
(+.f64 1 (fma.f64 N 2/3 (*.f64 (pow.f64 N 2) 5/9)))
(fma.f64 (pow.f64 N 2) 5/9 (fma.f64 N 2/3 1))
(+.f64 1 (+.f64 (*.f64 -14/81 (pow.f64 N 3)) (+.f64 (*.f64 5/9 (pow.f64 N 2)) (*.f64 2/3 N))))
(+.f64 1 (fma.f64 -14/81 (pow.f64 N 3) (fma.f64 5/9 (pow.f64 N 2) (*.f64 N 2/3))))
(+.f64 1 (fma.f64 (pow.f64 N 3) -14/81 (fma.f64 N 2/3 (*.f64 (pow.f64 N 2) 5/9))))
(fma.f64 (pow.f64 N 3) -14/81 (fma.f64 (pow.f64 N 2) 5/9 (fma.f64 N 2/3 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (fma.f64 N N N))
1
(+.f64 1 (*.f64 1/3 N))
(fma.f64 1/3 N 1)
(+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N)))
(+.f64 1 (fma.f64 2/9 (pow.f64 N 2) (*.f64 1/3 N)))
(+.f64 1 (fma.f64 1/3 N (*.f64 2/9 (pow.f64 N 2))))
(fma.f64 1/3 N (fma.f64 2/9 (pow.f64 N 2) 1))
(+.f64 1 (+.f64 (*.f64 -13/81 (pow.f64 N 3)) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (*.f64 1/3 N))))
(+.f64 1 (fma.f64 -13/81 (pow.f64 N 3) (fma.f64 2/9 (pow.f64 N 2) (*.f64 1/3 N))))
(+.f64 1 (fma.f64 -13/81 (pow.f64 N 3) (fma.f64 1/3 N (*.f64 2/9 (pow.f64 N 2)))))
(fma.f64 -13/81 (pow.f64 N 3) (fma.f64 1/3 N (fma.f64 2/9 (pow.f64 N 2) 1)))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (*.f64 (pow.f64 1 1/3) (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) 1)
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 1 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 5/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1/4))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 4))))
(*.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 5/2))
(pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3)
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 1)
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) 1/2)
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6) 2)
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3)
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
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(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(*.f64 1 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 1)
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N)))) 2)))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 1)
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 3)
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3) 1/3)
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 2)
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 1))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(atan2.f64 1 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))) 1)
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) 1)
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 3)
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) 3) 1/3)
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 2)
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(sqrt.f64 (*.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5))))
(sqrt.f64 (*.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6)) 3))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2) (sqrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) (sqrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 N 1) 1)) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/2)))
(cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) (sqrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))) 1))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/6))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))

eval247.0ms (4.5%)

Compiler

Compiled 8717 to 6815 computations (21.8% saved)

prune204.0ms (3.7%)

Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New4398447
Fresh459
Picked325
Done055
Total44620466
Accuracy
99.9%
Counts
466 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.5%
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 1/4) 2) 2)
58.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)
99.8%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
58.8%
(atan2.f64 1 (fma.f64 N N N))
57.8%
(atan2.f64 1 (pow.f64 (cbrt.f64 (pow.f64 N 2)) 3))
58.2%
(atan2.f64 1 (pow.f64 N 2))
58.8%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
52.5%
(atan2.f64 1 (+.f64 1 N))
99.1%
(atan2.f64 1 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
99.3%
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3)))
22.5%
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))))
26.6%
(atan2.f64 1 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
51.7%
(atan2.f64 1 1)
72.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
58.6%
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 1/4) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N)))))
55.8%
(exp.f64 (log.f64 (atan2.f64 1 (pow.f64 N 2))))
82.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
82.0%
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)) 3))
40.6%
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3))
40.6%
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3/2) (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3/2)))
Compiler

Compiled 757 to 595 computations (21.4% saved)

regimes74.0ms (1.4%)

Counts
35 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (fma.f64 N N N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (atan2.f64 1 (pow.f64 N 2))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (pow.f64 (cbrt.f64 (pow.f64 N 2)) 3))
(pow.f64 (sqrt.f64 (atan2.f64 1 (pow.f64 N 2))) 2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
(exp.f64 (log.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))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 1/4) 2) 2)
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)) 3))
(atan2.f64 1 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3/2) (pow.f64 (atan2.f64 1 (pow.f64 N 2)) 3/2)))
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)))))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3/2)))
(atan2.f64 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 (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)))))
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3)))
(atan2.f64 1 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 3) 2) (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 1/4) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N)))))
(*.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 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))))))
(atan2.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N 1) 1)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (*.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)))))
Outputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Calls

2 calls:

56.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.8%1N
99.8%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 523 to 407 computations (22.2% saved)

regimes19.0ms (0.4%)

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

2 calls:

14.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.4%3N
99.4%2(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes13.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (fma.f64 N N N))
Outputs
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (fma.f64 N N N))
Calls

1 calls:

12.0ms
N
Results
AccuracySegmentsBranch
99.0%3N
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes11.0ms (0.2%)

Counts
3 → 3
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (pow.f64 N 2))
Outputs
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (pow.f64 N 2))
Calls

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
98.4%3N
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (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
52.5%1N
Compiler

Compiled 11 to 9 computations (18.2% 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
51.7%1N
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.105427357601002e-15
2.8422640907521668e-8
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch48.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
5.9043853880490175e-6
218.434892223189
24.0ms
-107.85638565603219
-5.885675491648208e-18
Results
45.0ms304×body256valid
Compiler

Compiled 297 to 218 computations (26.6% saved)

bsearch151.0ms (2.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
125.0ms
5.9043853880490175e-6
218.434892223189
26.0ms
-107.85638565603219
-5.885675491648208e-18
Results
147.0ms304×body256valid
Compiler

Compiled 278 to 237 computations (14.7% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
if-if-or-not
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039270
152270
255270
357270
458270
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(if (<=.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 6338253001141147/633825300114114700748351602688) (atan2.f64 1 (fma.f64 N N N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (<=.f64 N -1) (atan2.f64 1 (fma.f64 N N N)) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (fma.f64 N N N))))
(if (<=.f64 N -5404319552844595/9007199254740992) (atan2.f64 1 (pow.f64 N 2)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 1)
Outputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(if (<=.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 6338253001141147/633825300114114700748351602688) (atan2.f64 1 (fma.f64 N N N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (<=.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 6338253001141147/633825300114114700748351602688) (atan2.f64 1 (fma.f64 N N N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(if (<=.f64 N -1) (atan2.f64 1 (fma.f64 N N N)) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (fma.f64 N N N))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (fma.f64 N N N)) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -5404319552844595/9007199254740992) (atan2.f64 1 (pow.f64 N 2)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (pow.f64 N 2))))
(if (or (<=.f64 N -5404319552844595/9007199254740992) (not (<=.f64 N 3602879701896397/2251799813685248))) (atan2.f64 1 (pow.f64 N 2)) (atan2.f64 1 (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 1)
Compiler

Compiled 84 to 63 computations (25% saved)

soundness377.0ms (6.9%)

Rules
1376×prod-diff
1358×div-sub
1308×fma-def
1044×fma-def
888×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
113227
2186927
02154317
14874175
213034113
364624113
01973293
14152889
212012846
353202817
Stop Event
node limit
node limit
node limit
Compiler

Compiled 163 to 113 computations (30.7% saved)

end0.0ms (0%)

preprocess78.0ms (1.4%)

Compiler

Compiled 196 to 144 computations (26.5% saved)

Profiling

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