2atan (example 3.5)

Time bar (total: 4.5s)

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)

sample1.4s (31.4%)

Results
613.0ms2243×body2048valid
481.0ms4510×body256valid
205.0ms1014×body1024valid
108.0ms489×body512valid
Bogosity

preprocess28.0ms (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
▶78.9%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶78.9%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 16 to 12 computations (25% saved)

localize62.0ms (1.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(atan.f64 (+.f64 N 1))
✓78.9%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite80.0ms (1.8%)

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))))

simplify90.0ms (2%)

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
03425461
17945273
227295249
Stop Event
1×node limit
Counts
175 → 190
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (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 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (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 (atan.f64 N)) (cbrt.f64 (pow.f64 (atan.f64 N) 2)))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (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 (atan.f64 N)) (cbrt.f64 (pow.f64 (atan.f64 N) 2)))))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (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))))
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(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 N))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (+.f64 1 N))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(atan.f64 (+.f64 1 N))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(atan.f64 (+.f64 1 N))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(atan.f64 (+.f64 1 N))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(atan.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (+.f64 1 N))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 1 N))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (+.f64 1 N))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 1 N))

eval79.0ms (1.7%)

Compiler

Compiled 3485 to 2303 computations (33.9% saved)

prune25.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1891190
Fresh000
Picked011
Done000
Total1892191
Accuracy
99.3%
Counts
191 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓78.9%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓78.9%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize54.0ms (1.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Compiler

Compiled 21 to 15 computations (28.6% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite62.0ms (1.4%)

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
0821
116121
2198121
Stop Event
1×node limit
Counts
1 → 16
Calls
Call 1
Inputs
(atan2.f64 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))))

simplify63.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
974×fma-neg
970×log-prod
666×exp-prod
646×fma-def
456×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043500
185420
2301420
31669420
43880420
55674420
Stop Event
1×node limit
Counts
20 → 21
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(-.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))))
Outputs
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (-.f64 1 (neg.f64 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))

eval6.0ms (0.1%)

Compiler

Compiled 243 to 193 computations (20.6% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New17421
Fresh000
Picked011
Done011
Total17623
Accuracy
99.3%
Counts
23 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
▶97.3%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
✓99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
▶99.3%
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
✓78.9%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶89.4%
(*.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))))
▶98.4%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
▶97.3%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
✓99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
▶99.3%
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
✓78.9%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶89.4%
(*.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))))
Compiler

Compiled 144 to 114 computations (20.8% saved)

localize285.0ms (6.3%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
✓77.1%
(sqrt.f64 (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)
99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓76.3%
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
✓100.0%
(+.f64 N (fma.f64 N N 1))
✓99.3%
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
✓99.9%
(*.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))))
99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓79.7%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
✓76.3%
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
Compiler

Compiled 173 to 128 computations (26% saved)

series23.0ms (0.5%)

Counts
9 → 92
Calls

27 calls:

TimeVariablePointExpression
3.0ms
N
@0
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
3.0ms
N
@0
(*.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))))
2.0ms
N
@0
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
2.0ms
N
@-inf
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
2.0ms
N
@inf
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))

rewrite124.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
1286×log-prod
1136×prod-diff
796×fma-def
530×expm1-udef
530×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021205
1438205
24617205
Stop Event
1×node limit
Counts
9 → 288
Calls
Call 1
Inputs
(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))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(+.f64 N (fma.f64 N N 1))
(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)
(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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(*.f64 1 (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)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (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))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/3)
(pow.f64 (cbrt.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))) 2) 1/6)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2/3)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 1/2)
(pow.f64 (cbrt.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))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(fabs.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (log.f64 (cbrt.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)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(+.f64 0 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))) 1)
(*.f64 1 (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)))) (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)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (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))) 1/6) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (cbrt.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))) 2/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))
(+.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)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(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 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 3/2)
(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))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(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)))))
(+.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 (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 (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 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))) (*.f64 (pow.f64 (cbrt.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 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (*.f64 (cbrt.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 (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))) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))
(*.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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.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))))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(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 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 3/2)
(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))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(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 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 N N N)))) 1)
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (fma.f64 N N 1))) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.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 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N)))))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (/.f64 1 (-.f64 N (fma.f64 N N 1))))
(/.f64 1 (/.f64 (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))) (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))))
(/.f64 1 (/.f64 (-.f64 N (fma.f64 N N 1)) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 (*.f64 N N) (+.f64 (pow.f64 N 3) N))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (neg.f64 (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (neg.f64 (-.f64 N (fma.f64 N N 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 1 (*.f64 (fma.f64 N N N) 1))))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) -1) (-.f64 (fma.f64 N N N) 1))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (-.f64 (fma.f64 N N 1) N))
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/3)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (*.f64 (exp.f64 N) (+.f64 1 (expm1.f64 (fma.f64 N N 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (exp.f64 (fma.f64 N N 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (+.f64 1 (expm1.f64 (fma.f64 N N 1)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 N N 1)) (+.f64 1 (expm1.f64 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 N N 1))) (exp.f64 N)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 N N 1))) (+.f64 1 (expm1.f64 N))))
(log.f64 (*.f64 (exp.f64 (*.f64 N N)) (exp.f64 (+.f64 1 N))))
(log.f64 (*.f64 (exp.f64 (*.f64 N N)) (+.f64 1 (expm1.f64 (+.f64 1 N)))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 N N N))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(fma.f64 1 N (fma.f64 N N 1))
(fma.f64 1 (fma.f64 N N 1) N)
(fma.f64 1 (*.f64 N N) (+.f64 1 N))
(fma.f64 1 (fma.f64 N N N) 1)
(fma.f64 N 1 (fma.f64 N N 1))
(fma.f64 N N (+.f64 1 N))
(fma.f64 N (+.f64 1 N) 1)
(fma.f64 (+.f64 1 N) N 1)
(fma.f64 (fma.f64 N N 1) 1 N)
(fma.f64 (cbrt.f64 (fma.f64 N N 1)) (pow.f64 (cbrt.f64 (fma.f64 N N 1)) 2) N)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N 1)) 2) (cbrt.f64 (fma.f64 N N 1)) N)
(fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (fma.f64 N N 1))
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (cbrt.f64 (*.f64 N N)) (*.f64 (cbrt.f64 N) (+.f64 1 N)) 1)
(fma.f64 (cbrt.f64 (*.f64 N N)) (*.f64 (cbrt.f64 N) N) (+.f64 1 N))
(fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 N)) 1)
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) (+.f64 1 N))
(fma.f64 (fma.f64 N N N) 1 1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (fma.f64 N N N))) (cbrt.f64 (fma.f64 N N N)) 1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 (*.f64 N N))) (cbrt.f64 (*.f64 N N)) (+.f64 1 N))
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) (+.f64 1 N))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (*.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (*.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) 1)
(fma.f64 (*.f64 N (cbrt.f64 (pow.f64 (+.f64 1 N) 2))) (cbrt.f64 (+.f64 1 N)) 1)
(fma.f64 (*.f64 N (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 1 (sqrt.f64 N)) 1)
(fma.f64 (*.f64 N (cbrt.f64 (*.f64 N N))) (cbrt.f64 N) (+.f64 1 N))
(+.f64 0 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(*.f64 1 (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)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (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))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/3)
(pow.f64 (cbrt.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))) 2) 1/6)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2/3)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 1/2)
(pow.f64 (cbrt.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))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(fabs.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (log.f64 (cbrt.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)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(log1p.f64 (expm1.f64 (cbrt.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 (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 (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 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))) (*.f64 (pow.f64 (cbrt.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 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (*.f64 (cbrt.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 (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))) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))
(*.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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.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))))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(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)))))
(+.f64 0 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(-.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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(*.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 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 1 3/2) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 3/2) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 3/2))
(*.f64 (pow.f64 1 1/2) (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)))) 3/4) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/4))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)
(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))) 3/2) 1/3)
(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))) 1/6) 3)
(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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(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 (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 (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 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))) (*.f64 (pow.f64 (cbrt.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 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (*.f64 (cbrt.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 (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))) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))
(*.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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.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))))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(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)))))

simplify175.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
1496×log-prod
1366×fma-neg
558×exp-prod
452×cube-prod
400×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04018589945384
183110516
227059990
373949990
Stop Event
1×node limit
Counts
380 → 248
Calls
Call 1
Inputs
(pow.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 (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 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/3)
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1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
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(+.f64 1 (+.f64 N (pow.f64 N 2)))
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(pow.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 (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 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/3)
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(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
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(*.f64 (pow.f64 1 3/2) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 3/2) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 3/2))
(*.f64 (pow.f64 1 1/2) (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)))) 3/4) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/4))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)
(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))) 3/2) 1/3)
(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))) 1/6) 3)
(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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(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 (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 (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 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))) (*.f64 (pow.f64 (cbrt.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 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (*.f64 (cbrt.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 (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))) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))
(*.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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.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))))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(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
(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))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(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))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(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))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(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))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(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))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(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))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(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))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(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))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.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))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.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))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.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))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.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))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(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 N (+.f64 1 N)))
(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 N (+.f64 1 N)))
(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 N (+.f64 1 N)))
(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 N (+.f64 1 N)))
(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 N (+.f64 1 N)))
(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 N (+.f64 1 N)))
(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 N (+.f64 1 N)))
(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 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 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 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 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 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(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 N (+.f64 1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(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 N (+.f64 1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(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 N (+.f64 1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(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 N (+.f64 1 N)))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.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))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.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))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 3 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 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 2 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 (fma.f64 N (+.f64 1 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 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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)))))
(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 N (+.f64 1 N)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))) (*.f64 (pow.f64 (cbrt.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 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))) (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)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 5))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (*.f64 (cbrt.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 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))
(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 N (+.f64 1 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 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))) (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)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 5))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (cbrt.f64 (cbrt.f64 (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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(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 N (+.f64 1 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))))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(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 N (+.f64 1 N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(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 N (+.f64 1 N)))
(fabs.f64 (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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(log.f64 (exp.f64 (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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(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 N (+.f64 1 N)))
(expm1.f64 (log1p.f64 (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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(exp.f64 (log.f64 (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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(log1p.f64 (expm1.f64 (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)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))

eval254.0ms (5.6%)

Compiler

Compiled 10487 to 7880 computations (24.9% saved)

prune105.0ms (2.3%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New5356541
Fresh000
Picked044
Done022
Total53512547
Accuracy
99.3%
Counts
547 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.4%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
✓97.3%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
▶99.1%
(atan2.f64 1 (fma.f64 (*.f64 N (cbrt.f64 (*.f64 N N))) (cbrt.f64 N) (+.f64 1 N)))
✓99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
▶56.0%
(atan2.f64 1 (fma.f64 N N N))
✓99.3%
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
▶55.2%
(atan2.f64 1 (+.f64 1 N))
▶55.6%
(atan2.f64 1 (*.f64 N N))
▶54.0%
(atan2.f64 1 1)
✓78.9%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
89.2%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
✓89.4%
(*.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))))
✓98.4%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
✓97.3%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
▶99.1%
(atan2.f64 1 (fma.f64 (*.f64 N (cbrt.f64 (*.f64 N N))) (cbrt.f64 N) (+.f64 1 N)))
✓99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
▶56.0%
(atan2.f64 1 (fma.f64 N N N))
✓99.3%
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
▶55.2%
(atan2.f64 1 (+.f64 1 N))
▶55.6%
(atan2.f64 1 (*.f64 N N))
▶54.0%
(atan2.f64 1 1)
✓78.9%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
89.2%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
✓89.4%
(*.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))))
Compiler

Compiled 396 to 302 computations (23.7% saved)

localize86.0ms (1.9%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓99.3%
(atan2.f64 1 (fma.f64 N N N))
✓100.0%
(atan2.f64 1 (+.f64 1 N))
✓99.3%
(atan2.f64 1 (*.f64 N N))
✓99.7%
(*.f64 N (cbrt.f64 (*.f64 N N)))
✓99.3%
(atan2.f64 1 (fma.f64 (*.f64 N (cbrt.f64 (*.f64 N N))) (cbrt.f64 N) (+.f64 1 N)))
✓99.1%
(cbrt.f64 N)
✓51.8%
(cbrt.f64 (*.f64 N N))
Compiler

Compiled 84 to 35 computations (58.3% saved)

series4.0ms (0.1%)

Counts
7 → 28
Calls

21 calls:

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

rewrite93.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1434×log-prod
1352×prod-diff
706×fma-def
566×expm1-udef
566×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017115
133095
2391595
Stop Event
1×node limit
Counts
7 → 157
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 N N))
(cbrt.f64 N)
(atan2.f64 1 (fma.f64 (*.f64 N (cbrt.f64 (*.f64 N N))) (cbrt.f64 N) (+.f64 1 N)))
(*.f64 N (cbrt.f64 (*.f64 N N)))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (fma.f64 N N N))
Outputs
(+.f64 0 (pow.f64 (cbrt.f64 N) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 N) 2) 1)
(*.f64 (cbrt.f64 N) (cbrt.f64 N))
(*.f64 1 (pow.f64 (cbrt.f64 N) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 N 4))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 N)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))) (cbrt.f64 (cbrt.f64 N)))
(*.f64 (pow.f64 N 1/6) (*.f64 (pow.f64 N 1/6) (cbrt.f64 N)))
(*.f64 (sqrt.f64 N) (pow.f64 N 1/6))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))
(pow.f64 N 2/3)
(pow.f64 (*.f64 N N) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 N) 2) 1)
(pow.f64 (cbrt.f64 N) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 N 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 N) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2)))
(exp.f64 (*.f64 2/3 (log.f64 N)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 N)) 1/3))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 N)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 N) 2)))
(+.f64 0 (cbrt.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 N))) (cbrt.f64 (exp.f64 (cbrt.f64 N))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 N)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 N))) 1)
(*.f64 (cbrt.f64 N) 1)
(*.f64 1 (cbrt.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 N)))
(*.f64 (cbrt.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))
(*.f64 (pow.f64 N 1/6) (pow.f64 N 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 N))
(*.f64 (pow.f64 (sqrt.f64 N) 1/3) (pow.f64 (sqrt.f64 N) 1/3))
(pow.f64 N 1/3)
(pow.f64 (*.f64 N N) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 N) 2) 1/2)
(pow.f64 (cbrt.f64 N) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 N)) 3)
(pow.f64 (pow.f64 N 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 N) 2))
(fabs.f64 (cbrt.f64 N))
(log.f64 (exp.f64 (cbrt.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 N))))
(expm1.f64 (log1p.f64 (cbrt.f64 N)))
(exp.f64 (log.f64 (cbrt.f64 N)))
(exp.f64 (*.f64 (log.f64 N) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 N)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 N)))
(+.f64 0 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(*.f64 (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)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(+.f64 0 (cbrt.f64 (*.f64 (pow.f64 N 4) N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N)))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))) 3)
(pow.f64 (*.f64 (pow.f64 N 4) N) 1/3)
(pow.f64 (*.f64 (cbrt.f64 N) (sqrt.f64 N)) 2)
(sqrt.f64 (*.f64 (*.f64 N N) (cbrt.f64 (pow.f64 N 4))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N)))))
(cbrt.f64 (*.f64 (pow.f64 N 4) N))
(cbrt.f64 (*.f64 (pow.f64 N 3) (*.f64 N N)))
(cbrt.f64 (*.f64 (*.f64 N N) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 N)) (log.f64 N)))
(exp.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 N)) (log.f64 N)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))))
(+.f64 0 (atan2.f64 1 (*.f64 N N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N)))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(*.f64 (atan2.f64 1 (*.f64 N N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 N N))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
(+.f64 0 (atan2.f64 1 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 N 1)))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 N 1)))
(*.f64 (atan2.f64 1 (+.f64 N 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N 1))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 N 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N 1))) (sqrt.f64 (atan2.f64 1 (+.f64 N 1))))
(pow.f64 (atan2.f64 1 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 N 1))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 N 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 N 1))))
(+.f64 0 (atan2.f64 1 (fma.f64 N N N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N N)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (fma.f64 N N N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N N))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N N))))

simplify95.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1936×fma-def
1146×log-prod
890×distribute-lft-in
808×distribute-rgt-in
552×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03363655
15933403
219833171
376143171
Stop Event
1×node limit
Counts
185 → 207
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (*.f64 -1 (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)) (*.f64 (pow.f64 (*.f64 -1 N) 1/3) (cbrt.f64 -1)) (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 (*.f64 -1 (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)) (*.f64 (pow.f64 (*.f64 -1 N) 1/3) (cbrt.f64 -1)) (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 (*.f64 -1 (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)) (*.f64 (pow.f64 (*.f64 -1 N) 1/3) (cbrt.f64 -1)) (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 (*.f64 -1 (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)) (*.f64 (pow.f64 (*.f64 -1 N) 1/3) (cbrt.f64 -1)) (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (-.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)))
(+.f64 0 (pow.f64 (cbrt.f64 N) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 N) 2) 1)
(*.f64 (cbrt.f64 N) (cbrt.f64 N))
(*.f64 1 (pow.f64 (cbrt.f64 N) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 N 4))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 N)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))) (cbrt.f64 (cbrt.f64 N)))
(*.f64 (pow.f64 N 1/6) (*.f64 (pow.f64 N 1/6) (cbrt.f64 N)))
(*.f64 (sqrt.f64 N) (pow.f64 N 1/6))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))
(pow.f64 N 2/3)
(pow.f64 (*.f64 N N) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 N) 2) 1)
(pow.f64 (cbrt.f64 N) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 N 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 N) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2)))
(exp.f64 (*.f64 2/3 (log.f64 N)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 N)) 1/3))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 N)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 N) 2)))
(+.f64 0 (cbrt.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 N))) (cbrt.f64 (exp.f64 (cbrt.f64 N))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 N)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 N))) 1)
(*.f64 (cbrt.f64 N) 1)
(*.f64 1 (cbrt.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 N)))
(*.f64 (cbrt.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))
(*.f64 (pow.f64 N 1/6) (pow.f64 N 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 N))
(*.f64 (pow.f64 (sqrt.f64 N) 1/3) (pow.f64 (sqrt.f64 N) 1/3))
(pow.f64 N 1/3)
(pow.f64 (*.f64 N N) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 N) 2) 1/2)
(pow.f64 (cbrt.f64 N) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 N)) 3)
(pow.f64 (pow.f64 N 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 N) 2))
(fabs.f64 (cbrt.f64 N))
(log.f64 (exp.f64 (cbrt.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 N))))
(expm1.f64 (log1p.f64 (cbrt.f64 N)))
(exp.f64 (log.f64 (cbrt.f64 N)))
(exp.f64 (*.f64 (log.f64 N) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 N)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 N)))
(+.f64 0 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(*.f64 (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)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(+.f64 0 (cbrt.f64 (*.f64 (pow.f64 N 4) N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N)))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))) 3)
(pow.f64 (*.f64 (pow.f64 N 4) N) 1/3)
(pow.f64 (*.f64 (cbrt.f64 N) (sqrt.f64 N)) 2)
(sqrt.f64 (*.f64 (*.f64 N N) (cbrt.f64 (pow.f64 N 4))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N)))))
(cbrt.f64 (*.f64 (pow.f64 N 4) N))
(cbrt.f64 (*.f64 (pow.f64 N 3) (*.f64 N N)))
(cbrt.f64 (*.f64 (*.f64 N N) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 N)) (log.f64 N)))
(exp.f64 (*.f64 (+.f64 (*.f64 2/3 (log.f64 N)) (log.f64 N)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))))
(+.f64 0 (atan2.f64 1 (*.f64 N N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N)))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(*.f64 (atan2.f64 1 (*.f64 N N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 N N))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
(+.f64 0 (atan2.f64 1 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 N 1)))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 N 1)))
(*.f64 (atan2.f64 1 (+.f64 N 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N 1))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 N 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N 1))) (sqrt.f64 (atan2.f64 1 (+.f64 N 1))))
(pow.f64 (atan2.f64 1 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 N 1))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 N 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 N 1))))
(+.f64 0 (atan2.f64 1 (fma.f64 N N N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N N)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (fma.f64 N N N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N N))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N N))))
Outputs
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 5)) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 5)) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 5)) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 5)) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 5)) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 5)) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 5)) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (pow.f64 N 5) 1/3) (pow.f64 N 1/3) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 N) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 5)) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (*.f64 -1 (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)) (*.f64 (pow.f64 (*.f64 -1 N) 1/3) (cbrt.f64 -1)) (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5)))) (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 -1)) (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5)))) (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 -1)) (+.f64 1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 N) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 -1)))))
(atan2.f64 1 (fma.f64 (*.f64 -1 (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)) (*.f64 (pow.f64 (*.f64 -1 N) 1/3) (cbrt.f64 -1)) (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5)))) (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 -1)) (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5)))) (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 -1)) (+.f64 1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 N) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 -1)))))
(atan2.f64 1 (fma.f64 (*.f64 -1 (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)) (*.f64 (pow.f64 (*.f64 -1 N) 1/3) (cbrt.f64 -1)) (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5)))) (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 -1)) (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5)))) (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 -1)) (+.f64 1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 N) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 -1)))))
(atan2.f64 1 (fma.f64 (*.f64 -1 (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)) (*.f64 (pow.f64 (*.f64 -1 N) 1/3) (cbrt.f64 -1)) (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5)))) (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 -1)) (-.f64 1 (neg.f64 N))))
(atan2.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5)))) (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 -1)) (+.f64 1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 N) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 5))) (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 -1)))))
(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))
(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))
(+.f64 0 (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 N N)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 N N))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 N N))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2))) 1)
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(*.f64 (pow.f64 (cbrt.f64 N) 2) 1)
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(*.f64 (cbrt.f64 N) (cbrt.f64 N))
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(*.f64 1 (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 N 4))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 N)))
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))) (cbrt.f64 (cbrt.f64 N)))
(*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 (pow.f64 N 5))))
(*.f64 (pow.f64 N 1/6) (*.f64 (pow.f64 N 1/6) (cbrt.f64 N)))
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(*.f64 (sqrt.f64 N) (pow.f64 N 1/6))
(*.f64 (pow.f64 N 1/6) (sqrt.f64 N))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 N 4))))
(pow.f64 N 2/3)
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(pow.f64 (*.f64 N N) 1/3)
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(pow.f64 (pow.f64 (cbrt.f64 N) 2) 1)
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) 3)
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(sqrt.f64 (cbrt.f64 (pow.f64 N 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 N) 2))))
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2)))
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(exp.f64 (*.f64 2/3 (log.f64 N)))
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(exp.f64 (*.f64 (*.f64 2 (log.f64 N)) 1/3))
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (*.f64 N N))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 N)) 1))
(pow.f64 (cbrt.f64 N) 2)
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(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2))
(atan2.f64 1 (fma.f64 N N N))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N N))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N N))
(pow.f64 (atan2.f64 1 (fma.f64 N N N)) 1)
(atan2.f64 1 (fma.f64 N N N))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 3)
(atan2.f64 1 (fma.f64 N N N))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3) 1/3)
(atan2.f64 1 (fma.f64 N N N))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
(atan2.f64 1 (fma.f64 N N N))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2))
(atan2.f64 1 (fma.f64 N N N))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N N))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (fma.f64 N N N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
(atan2.f64 1 (fma.f64 N N N))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N N))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N N))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))) 1))
(atan2.f64 1 (fma.f64 N N N))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N N))

eval69.0ms (1.5%)

Compiler

Compiled 3080 to 1895 computations (38.5% saved)

prune36.0ms (0.8%)

Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New2034207
Fresh011
Picked055
Done246
Total20514219
Accuracy
99.4%
Counts
219 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
55.2%
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
87.4%
(atan2.f64 1 (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))) 3) (cbrt.f64 N) (+.f64 1 N)))
98.9%
(atan2.f64 1 (fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (+.f64 1 N)))
✓99.1%
(atan2.f64 1 (fma.f64 (*.f64 N (cbrt.f64 (*.f64 N N))) (cbrt.f64 N) (+.f64 1 N)))
✓99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓56.0%
(atan2.f64 1 (fma.f64 N N N))
✓99.3%
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
✓55.2%
(atan2.f64 1 (+.f64 1 N))
✓55.6%
(atan2.f64 1 (*.f64 N N))
✓54.0%
(atan2.f64 1 1)
✓78.9%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
89.2%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
✓89.4%
(*.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))))
Compiler

Compiled 333 to 243 computations (27% saved)

regimes16.0ms (0.4%)

Counts
16 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (fma.f64 N N N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(atan2.f64 1 (fma.f64 (*.f64 N (cbrt.f64 (*.f64 N N))) (cbrt.f64 N) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (+.f64 1 N)))
(atan2.f64 1 (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) N))) 3) (cbrt.f64 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))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
Outputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Calls

2 calls:

8.0ms
N
4.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.3%1N
99.3%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 181 to 128 computations (29.3% saved)

regimes9.0ms (0.2%)

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

2 calls:

5.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.3%1N
99.3%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes17.0ms (0.4%)

Counts
5 → 2
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (fma.f64 N N N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Outputs
(atan2.f64 1 (fma.f64 N N N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Calls

2 calls:

12.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.0%3N
99.0%2(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 37 to 26 computations (29.7% saved)

regimes12.0ms (0.3%)

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

1 calls:

11.0ms
N
Results
AccuracySegmentsBranch
98.7%3N
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes11.0ms (0.2%)

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

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
98.3%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
97.7%3N
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
54.0%1N
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.1453438197861487e-10
0.0006972559523210631
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch49.0ms (1.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
0.00011992189737129346
14901428.197146177
24.0ms
-38.360841678636874
-4.295529291845033e-15
Results
45.0ms320×body256valid
Compiler

Compiled 312 to 229 computations (26.6% saved)

bsearch49.0ms (1.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
0.00011992189737129346
14901428.197146177
25.0ms
-38.360841678636874
-4.295529291845033e-15
Results
45.0ms320×body256valid
Compiler

Compiled 292 to 229 computations (21.6% saved)

bsearch50.0ms (1.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
0.00011992189737129346
14901428.197146177
24.0ms
-38.360841678636874
-4.295529291845033e-15
Results
46.0ms320×body256valid
Compiler

Compiled 252 to 209 computations (17.1% saved)

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
6×if-if-or-not
4×sub-neg
2×1-exp
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041263
156263
259263
361263
462263
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(if (<=.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 7737125245533627/38685626227668133590597632) (atan2.f64 1 (fma.f64 N N N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (<=.f64 N -1) (atan2.f64 1 (fma.f64 N N N)) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (fma.f64 N N N))))
(if (<=.f64 N -5404319552844595/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 1 N)) (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 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(if (<=.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 7737125245533627/38685626227668133590597632) (atan2.f64 1 (fma.f64 N N N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (<=.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 7737125245533627/38685626227668133590597632) (atan2.f64 1 (fma.f64 N N N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(if (<=.f64 N -1) (atan2.f64 1 (fma.f64 N N N)) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (fma.f64 N N N))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (fma.f64 N N N)) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -5404319552844595/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (*.f64 N N))))
(if (or (<=.f64 N -5404319552844595/9007199254740992) (not (<=.f64 N 3602879701896397/2251799813685248))) (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 105 to 77 computations (26.7% saved)

soundness837.0ms (18.5%)

Rules
1496×log-prod
1496×log-prod
1376×prod-diff
1366×fma-neg
1366×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119432
2265632
03425461
17945273
227295249
043500
185420
2301420
31669420
43880420
55674420
04018589945384
183110516
227059990
373949990
04018589945384
183110516
227059990
373949990
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 260 to 181 computations (30.4% saved)

end0.0ms (0%)

preprocess122.0ms (2.7%)

Compiler

Compiled 236 to 168 computations (28.8% saved)

Profiling

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