2atan (example 3.5)

Time bar (total: 5.7s)

analyze0.0ms (0%)

Algorithm
1×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)

sample1.8s (30.9%)

Results
718.0ms2132×body2048valid
630.0ms4575×body256valid
298.0ms1022×body1024valid
97.0ms527×body512valid
Bogosity

preprocess35.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
276×fma-def
62×sub-neg
46×associate--r+
42×unsub-neg
40×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01471
12567
23967
36167
48767
513067
621167
727767
837767
944767
1049967
1150367
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N)))
Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (+.f64 1 (neg.f64 N))) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (-.f64 1 N)) (atan.f64 (neg.f64 N)))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.5%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶75.5%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 16 to 12 computations (25% saved)

localize74.0ms (1.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(atan.f64 (+.f64 N 1))
✓75.5%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite94.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1376×prod-diff
1214×unpow-prod-down
878×log-prod
734×fma-def
572×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119432
2265632
Stop Event
1×node limit
Counts
2 → 151
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan.f64 (+.f64 N 1))
Outputs
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (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 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 1))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(/.f64 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)) 2) 1/2)
(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 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.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 (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 (/.f64 1 (exp.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))) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.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 (pow.f64 (atan.f64 N) 2)) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.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 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.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 (-.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))) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.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 (*.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 (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 (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))) (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))

simplify96.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1208×fma-neg
872×distribute-lft-in
618×cancel-sign-sub-inv
550×log-prod
450×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03395661
17895017
227274993
Stop Event
1×node limit
Counts
159 → 191
Calls
Call 1
Inputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (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 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 1))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(/.f64 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)) 2) 1/2)
(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 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.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 (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 (/.f64 1 (exp.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))) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.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 (pow.f64 (atan.f64 N) 2)) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.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 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.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 (-.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))) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.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 (*.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 (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 (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))) (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
Outputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 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 (neg.f64 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 (neg.f64 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 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (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 (neg.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 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.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 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (*.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (cbrt.f64 (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 (neg.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 (neg.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 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (*.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (cbrt.f64 (atan.f64 N)))))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
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(atan.f64 (+.f64 1 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) 2))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 1 1/3) (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 1 N)) (cbrt.f64 (atan.f64 (+.f64 1 N)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 8)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))

eval72.0ms (1.3%)

Compiler

Compiled 3489 to 2304 computations (34% saved)

prune23.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1901191
Fresh000
Picked011
Done000
Total1902192
Accuracy
99.7%
Counts
192 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓75.5%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶99.7%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓75.5%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize34.0ms (0.6%)

Localize:

Found 2 expressions with local error:

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

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite71.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1586×pow1
1458×add-exp-log
1458×log1p-expm1-u
1458×expm1-log1p-u
1430×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
116136
2198136
Stop Event
1×node limit
Counts
2 → 37
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(fma.f64 N (+.f64 1 N) 1)
Outputs
(-.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 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (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)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(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))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 (+.f64 N (*.f64 N N)) 1)
(+.f64 (*.f64 (+.f64 N (*.f64 N N)) 1) 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 (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 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3) 1) (+.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) (-.f64 1 (*.f64 (+.f64 N (*.f64 N N)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) 1) (-.f64 (+.f64 N (*.f64 N 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) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2)
(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 (log.f64 (fma.f64 N (+.f64 1 N) 1)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 1 N) 1)))

simplify58.0ms (1%)

Algorithm
1×egg-herbie
Rules
632×fma-def
568×fma-neg
558×log-prod
516×unswap-sqr
406×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0911211
12031083
28051079
333661079
Stop Event
1×node limit
Counts
61 → 58
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 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 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(-.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 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (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)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(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))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 (+.f64 N (*.f64 N N)) 1)
(+.f64 (*.f64 (+.f64 N (*.f64 N N)) 1) 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 (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 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3) 1) (+.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) (-.f64 1 (*.f64 (+.f64 N (*.f64 N N)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) 1) (-.f64 (+.f64 N (*.f64 N 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) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2)
(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 (log.f64 (fma.f64 N (+.f64 1 N) 1)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 1 N) 1)))
Outputs
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 (+.f64 N (*.f64 N N)) 1)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 (*.f64 (+.f64 N (*.f64 N N)) 1) 1)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(*.f64 1 (fma.f64 N (+.f64 1 N) 1))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(*.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(/.f64 (+.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3) 1) (+.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) (-.f64 1 (*.f64 (+.f64 N (*.f64 N N)) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 N (*.f64 N N)) 3)) (fma.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N)) (-.f64 1 (+.f64 N (*.f64 N N)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (-.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) 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) (+.f64 N (fma.f64 N N -1)))))
(/.f64 (-.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) 1) (-.f64 (+.f64 N (*.f64 N N)) 1))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3) 1/3)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(log.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(exp.f64 (log.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))

eval15.0ms (0.3%)

Compiler

Compiled 684 to 468 computations (31.6% saved)

prune46.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New49958
Fresh000
Picked101
Done011
Total501060
Accuracy
99.8%
Counts
60 → 10
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)
97.8%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
▶99.2%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
▶99.7%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
59.1%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
▶51.0%
(atan2.f64 1 (+.f64 N 1))
58.8%
(atan2.f64 1 (*.f64 N N))
▶50.0%
(atan2.f64 1 1)
✓75.5%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
88.1%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
▶98.8%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
97.8%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
▶99.2%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
▶99.7%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
59.1%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
▶51.0%
(atan2.f64 1 (+.f64 N 1))
58.8%
(atan2.f64 1 (*.f64 N N))
▶50.0%
(atan2.f64 1 1)
✓75.5%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
88.1%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
Compiler

Compiled 384 to 304 computations (20.8% saved)

localize241.0ms (4.2%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.7%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓99.1%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
✓77.0%
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
100.0%
(fma.f64 N (+.f64 1 N) 1)
✓99.7%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
✓99.7%
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
✓76.7%
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
✓100.0%
(atan2.f64 1 (+.f64 N 1))
✓100.0%
(+.f64 N (*.f64 N N))
✓99.7%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
Compiler

Compiled 121 to 81 computations (33.1% saved)

series7.0ms (0.1%)

Counts
8 → 72
Calls

24 calls:

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

rewrite144.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
1518×fma-def
1414×log-prod
636×fma-neg
568×log1p-udef
562×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022160
1478144
25328144
Stop Event
1×node limit
Counts
8 → 348
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
(+.f64 N (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
Outputs
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(-.f64 (/.f64 (*.f64 N N) (*.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 4) (*.f64 N (-.f64 1 N))))
(*.f64 1 (fma.f64 N N N))
(*.f64 N (+.f64 1 N))
(*.f64 (fma.f64 N N N) 1)
(*.f64 (+.f64 1 N) N)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) (*.f64 (cbrt.f64 (+.f64 1 N)) N))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (+.f64 1 N)))
(*.f64 (sqrt.f64 (+.f64 1 N)) (*.f64 (sqrt.f64 (+.f64 1 N)) N))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 N)))
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (*.f64 N (-.f64 1 N))))
(*.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))))
(*.f64 (*.f64 N (cbrt.f64 (pow.f64 (+.f64 1 N) 2))) (cbrt.f64 (+.f64 1 N)))
(*.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)))
(*.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 1 (/.f64 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)) (+.f64 (pow.f64 N 3) (pow.f64 N 6))))
(/.f64 1 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6))) (neg.f64 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 4))) (neg.f64 (*.f64 N (-.f64 1 N))))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 N (+.f64 N -1)))
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 N -1))
(/.f64 (*.f64 N (-.f64 1 (*.f64 N N))) (-.f64 1 N))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) 1) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) 1) (*.f64 N (-.f64 1 N)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 (fma.f64 N N -1) N) (+.f64 N -1))
(/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(log.f64 (exp.f64 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(log.f64 (*.f64 (exp.f64 N) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (pow.f64 (exp.f64 N) N)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (+.f64 1 (expm1.f64 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (exp.f64 N)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (+.f64 1 (expm1.f64 N))))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 N) 3)))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(expm1.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(exp.f64 (log.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 1 N (*.f64 N N))
(fma.f64 1 (*.f64 N N) N)
(fma.f64 1 (+.f64 1 (fma.f64 N N N)) -1)
(fma.f64 N 1 (*.f64 N N))
(fma.f64 N N N)
(fma.f64 (*.f64 N N) 1 N)
(fma.f64 (+.f64 1 (fma.f64 N N N)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) -1)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) N)
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) N)
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 N N))
(fma.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (*.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) -1)
(fma.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) -1)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) N)
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (*.f64 N N))
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (/.f64 1 (+.f64 N (fma.f64 N N -1))) -1)
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) N)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) 3) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) -1)
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3) -1)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) 1) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) -1)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) -1)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6)) (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) -1)
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) N)
(+.f64 0 (atan2.f64 1 (+.f64 1 N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 N)))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 N)))
(*.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) (sqrt.f64 (atan2.f64 1 (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 N))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 N))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 N))))
(+.f64 0 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1)) (cbrt.f64 (+.f64 N (fma.f64 N N -1))))
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))
(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 (+.f64 1 (fma.f64 N N N)))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (*.f64 (fma.f64 N N 1) 1))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 (fma.f64 N N N) 1)
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 0 (+.f64 1 (fma.f64 N N N)))
(+.f64 (fma.f64 N N 1) N)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 N N N)))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 N (fma.f64 N N -1))) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(*.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (+.f64 1 (fma.f64 N N N)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (*.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)))
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(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))

simplify171.0ms (3%)

Algorithm
1×egg-herbie
Rules
896×fma-neg
724×cancel-sign-sub-inv
594×log-prod
480×exp-prod
460×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060110716
1128910088
239829968
Stop Event
1×node limit
Counts
420 → 394
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
1
(+.f64 (*.f64 1/3 N) 1)
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) 1))
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3)))))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 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))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 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))
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(-.f64 (/.f64 (*.f64 N N) (*.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 4) (*.f64 N (-.f64 1 N))))
(*.f64 1 (fma.f64 N N N))
(*.f64 N (+.f64 1 N))
(*.f64 (fma.f64 N N N) 1)
(*.f64 (+.f64 1 N) N)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) (*.f64 (cbrt.f64 (+.f64 1 N)) N))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (+.f64 1 N)))
(*.f64 (sqrt.f64 (+.f64 1 N)) (*.f64 (sqrt.f64 (+.f64 1 N)) N))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 N)))
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (*.f64 N (-.f64 1 N))))
(*.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))))
(*.f64 (*.f64 N (cbrt.f64 (pow.f64 (+.f64 1 N) 2))) (cbrt.f64 (+.f64 1 N)))
(*.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)))
(*.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 1 (/.f64 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)) (+.f64 (pow.f64 N 3) (pow.f64 N 6))))
(/.f64 1 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6))) (neg.f64 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 4))) (neg.f64 (*.f64 N (-.f64 1 N))))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 N (+.f64 N -1)))
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 N -1))
(/.f64 (*.f64 N (-.f64 1 (*.f64 N N))) (-.f64 1 N))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) 1) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) 1) (*.f64 N (-.f64 1 N)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 (fma.f64 N N -1) N) (+.f64 N -1))
(/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(log.f64 (exp.f64 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(log.f64 (*.f64 (exp.f64 N) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (pow.f64 (exp.f64 N) N)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (+.f64 1 (expm1.f64 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (exp.f64 N)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (+.f64 1 (expm1.f64 N))))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 N) 3)))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(expm1.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(exp.f64 (log.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 1 N (*.f64 N N))
(fma.f64 1 (*.f64 N N) N)
(fma.f64 1 (+.f64 1 (fma.f64 N N N)) -1)
(fma.f64 N 1 (*.f64 N N))
(fma.f64 N N N)
(fma.f64 (*.f64 N N) 1 N)
(fma.f64 (+.f64 1 (fma.f64 N N N)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) -1)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) N)
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) N)
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 N N))
(fma.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (*.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) -1)
(fma.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) -1)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) N)
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (*.f64 N N))
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (/.f64 1 (+.f64 N (fma.f64 N N -1))) -1)
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) N)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) 3) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) -1)
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3) -1)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) 1) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) -1)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) -1)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6)) (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) -1)
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) N)
(+.f64 0 (atan2.f64 1 (+.f64 1 N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 N)))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 N)))
(*.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) (sqrt.f64 (atan2.f64 1 (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 N))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 N))))
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(*.f64 1 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 2)
(fabs.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
Outputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(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))
1
(+.f64 (*.f64 1/3 N) 1)
(fma.f64 1/3 N 1)
(fma.f64 N 1/3 1)
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) 1))
(fma.f64 1/3 N (fma.f64 2/9 (*.f64 N N) 1))
(fma.f64 N 1/3 (fma.f64 2/9 (*.f64 N N) 1))
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3)))))
(fma.f64 1/3 N (+.f64 (fma.f64 2/9 (*.f64 N N) 1) (*.f64 -13/81 (pow.f64 N 3))))
(fma.f64 N 1/3 (fma.f64 2/9 (*.f64 N N) (fma.f64 -13/81 (pow.f64 N 3) 1)))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (fabs.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (fabs.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/2)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 2)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(fabs.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

eval244.0ms (4.3%)

Compiler

Compiled 8668 to 5835 computations (32.7% saved)

prune122.0ms (2.1%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New5537560
Fresh134
Picked235
Done011
Total55614570
Accuracy
99.8%
Counts
570 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 2) 2)
58.7%
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
91.8%
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2)) 2)
▶97.8%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
64.4%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 N (+.f64 N -1))) 1))
▶93.2%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)) 1))
▶64.4%
(atan2.f64 1 (+.f64 (/.f64 1 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 1))
✓99.7%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
59.1%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
✓51.0%
(atan2.f64 1 (+.f64 N 1))
▶58.8%
(atan2.f64 1 (*.f64 N N))
✓50.0%
(atan2.f64 1 1)
✓75.5%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶98.8%
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
98.6%
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 2) 2)
58.7%
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
91.8%
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2)) 2)
▶97.8%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
64.4%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 N (+.f64 N -1))) 1))
▶93.2%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)) 1))
▶64.4%
(atan2.f64 1 (+.f64 (/.f64 1 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 1))
✓99.7%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
59.1%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
✓51.0%
(atan2.f64 1 (+.f64 N 1))
▶58.8%
(atan2.f64 1 (*.f64 N N))
✓50.0%
(atan2.f64 1 1)
✓75.5%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶98.8%
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
Compiler

Compiled 648 to 480 computations (25.9% saved)

localize524.0ms (9.2%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.7%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓99.7%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
✓76.2%
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
✓99.8%
(/.f64 1 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
✓99.7%
(atan2.f64 1 (+.f64 (/.f64 1 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 1))
✓75.8%
(-.f64 (*.f64 N N) (pow.f64 N 4))
✓44.7%
(/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))
✓99.7%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)) 1))
✓93.4%
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
✓99.7%
(atan2.f64 1 (*.f64 N N))
✓99.8%
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
✓99.7%
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
✓77.1%
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
✓77.0%
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
Compiler

Compiled 279 to 173 computations (38% saved)

series272.0ms (4.8%)

Counts
13 → 156
Calls

39 calls:

TimeVariablePointExpression
80.0ms
N
@0
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
48.0ms
N
@0
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
43.0ms
N
@inf
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
31.0ms
N
@-inf
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
31.0ms
N
@-inf
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)

rewrite111.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
806×add-sqr-sqrt
796×pow1
788×*-un-lft-identity
758×add-exp-log
758×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037405
1837371
Stop Event
1×node limit
Counts
13 → 213
Calls
Call 1
Inputs
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (*.f64 N N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)) 1))
(/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))
(-.f64 (*.f64 N N) (pow.f64 N 4))
(atan2.f64 1 (+.f64 (/.f64 1 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 1))
(/.f64 1 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(*.f64 1 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/4)
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(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))))
(-.f64 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1) 1)
(*.f64 1 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 2) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))) (sqrt.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))
(*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (pow.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 N 4))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) -1) (pow.f64 (sqrt.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) -1))
(pow.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))) -1)
(pow.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 2)
(pow.f64 (/.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))) 1) -1)
(log.f64 (exp.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))) -2) (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 1/3) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 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))
(*.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 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(*.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))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))

simplify216.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1464×fma-def
922×distribute-rgt-in
904×distribute-lft-in
622×sqr-pow
594×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053110357
1109810099
231049811
Stop Event
1×node limit
Counts
369 → 291
Calls
Call 1
Inputs
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(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))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) 1)
(-.f64 (+.f64 N (/.f64 1 N)) 1)
(-.f64 (+.f64 N (+.f64 (/.f64 1 N) (*.f64 -1 (pow.f64 N 2)))) 1)
(/.f64 1 (pow.f64 N 2))
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 2))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 5))))
(/.f64 1 (pow.f64 N 2))
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 2))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 (pow.f64 N 5))))
(pow.f64 N 2)
(+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 2))
(+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 2))
(+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 2))
(*.f64 -1 (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(*.f64 -1 (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (+.f64 1 (*.f64 -1 N)))) (/.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (+.f64 1 (*.f64 -1 N)))) (/.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (+.f64 1 (*.f64 -1 N)))) (/.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (+.f64 1 (*.f64 -1 N)))) (/.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -1 N)))))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
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(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1)) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))) 2)
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1)))))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1)) 2) (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1))))
(-.f64 (fma.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)) 1) 1)
(*.f64 1 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 2) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))) (sqrt.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))
(*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (pow.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 N 4))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) -1) (pow.f64 (sqrt.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) -1))
(pow.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))) -1)
(pow.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 2)
(pow.f64 (/.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))) 1) -1)
(log.f64 (exp.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))) -2) (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 1/3) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 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))
(*.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 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(*.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))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
Outputs
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/4)
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 3) (-.f64 N 1))) (/.f64 N (-.f64 N 1))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
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N
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(+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 0)
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(pow.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4))) 1)
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 1) -1)
(+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 0)
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 2)
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 1) -1)
(+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 0)
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(pow.f64 (/.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))) 1) -1)
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 1) -1)
(+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 0)
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(log.f64 (exp.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 1) -1)
(+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 0)
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4))))))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 1) -1)
(+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 0)
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))) -2) (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(cbrt.f64 (*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) (pow.f64 (/.f64 N (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 1 N))) -2)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 1) -1)
(+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 0)
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(exp.f64 (neg.f64 (log.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 1) -1)
(+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 0)
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) -1))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 1) -1)
(+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 0)
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))) 1))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 1) -1)
(+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 0)
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (*.f64 N (-.f64 1 N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 1) -1)
(+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N (-.f64 1 N))) 0)
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 1/3))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 1/3) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (sqrt.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)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.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 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(atan2.f64 1 (+.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 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

eval263.0ms (4.6%)

Compiler

Compiled 9446 to 6611 computations (30% saved)

prune72.0ms (1.3%)

Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New3926398
Fresh145
Picked325
Done044
Total39616412
Accuracy
99.8%
Counts
412 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 2) 2)
58.7%
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
91.8%
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2)) 2)
58.4%
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
✓93.2%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)) 1))
62.4%
(atan2.f64 1 (+.f64 (/.f64 1 (/.f64 (*.f64 N (-.f64 1 N)) (neg.f64 (pow.f64 N 4)))) 1))
✓99.7%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
93.2%
(atan2.f64 1 (+.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 1 (+.f64 N -1))) 1))
59.1%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
✓51.0%
(atan2.f64 1 (+.f64 N 1))
✓58.8%
(atan2.f64 1 (*.f64 N N))
✓50.0%
(atan2.f64 1 1)
✓75.5%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
99.6%
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4))
99.4%
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)) 2))
98.8%
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8)) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
Compiler

Compiled 566 to 403 computations (28.8% saved)

regimes34.0ms (0.6%)

Counts
24 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (+.f64 N (*.f64 N N)))
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)) 1))
(atan2.f64 1 (+.f64 (*.f64 (-.f64 (pow.f64 N 3) N) (/.f64 1 (+.f64 N -1))) 1))
(atan2.f64 1 (+.f64 (/.f64 1 (/.f64 (*.f64 N (-.f64 1 N)) (neg.f64 (pow.f64 N 4)))) 1))
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 N (+.f64 N -1))) 1))
(atan2.f64 1 (+.f64 (/.f64 1 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2)) 2)
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 2) 2)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4)) 2))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8)) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
Outputs
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
Calls

2 calls:

23.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.7%1N
99.7%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 350 to 243 computations (30.6% saved)

regimes14.0ms (0.3%)

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

1 calls:

13.0ms
N
Results
AccuracySegmentsBranch
98.1%3N
Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes12.0ms (0.2%)

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

1 calls:

11.0ms
N
Results
AccuracySegmentsBranch
97.8%3N
Compiler

Compiled 16 to 12 computations (25% saved)

regimes10.0ms (0.2%)

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

1 calls:

9.0ms
N
Results
AccuracySegmentsBranch
97.5%3N
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (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
50.0%1N
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch38.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.27621392406559137
1.6447957610237816
22.0ms
-22.921423595064134
-3.873025656196896e-7
Results
35.0ms240×body256valid
Compiler

Compiled 252 to 189 computations (25% saved)

bsearch38.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.27621392406559137
1.6447957610237816
23.0ms
-22.921423595064134
-3.873025656196896e-7
Results
34.0ms240×body256valid
Compiler

Compiled 222 to 174 computations (21.6% saved)

bsearch37.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.27621392406559137
1.6447957610237816
23.0ms
-22.921423595064134
-3.873025656196896e-7
Results
34.0ms240×body256valid
Compiler

Compiled 192 to 159 computations (17.2% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×+-commutative
6×if-if-or-not
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029185
144185
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (*.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (*.f64 N N)))))
(if (<=.f64 N -5404319552844595/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 1823957849085051/1125899906842624) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (*.f64 N N))))
(if (<=.f64 N -1) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 1)
Outputs
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (*.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (*.f64 N N)))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (+.f64 N (*.f64 N N))) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -5404319552844595/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 1823957849085051/1125899906842624) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (*.f64 N N))))
(if (or (<=.f64 N -5404319552844595/9007199254740992) (not (<=.f64 N 1823957849085051/1125899906842624))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -1) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (*.f64 N N))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 1))
(atan2.f64 1 1)
Compiler

Compiled 74 to 56 computations (24.3% saved)

soundness558.0ms (9.8%)

Rules
1586×pow1
1458×add-exp-log
1458×log1p-expm1-u
1458×expm1-log1p-u
1430×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119432
2265632
03395661
17895017
227274993
0836
116136
2198136
0911211
12031083
28051079
333661079
0911211
12031083
28051079
333661079
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 199 to 140 computations (29.6% saved)

end0.0ms (0%)

preprocess173.0ms (3%)

Compiler

Compiled 178 to 126 computations (29.2% saved)

Profiling

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