2atan (example 3.5)

Time bar (total: 7.9s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%199.9%-99.9%0%0%0%1
100%199.9%0%-99.9%0%0%0%2
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.9s (24.1%)

Results
738.0ms4515×body256valid
704.0ms2055×body2048valid
274.0ms1044×body1024valid
101.0ms527×body512valid
43.0ms115×body4096valid
Bogosity

preprocess61.0ms (0.8%)

Algorithm
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
01450
12546
23946
36146
48746
513046
621146
727746
837746
944746
1049946
1150346
Stop Event
saturated
Calls
Call 1
Inputs
(-.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 (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 9 to 7 computations (22.2% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
132×fma-def
24×sub-neg
20×distribute-rgt-in
20×associate--r+
20×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11421
21821
32621
43521
55221
68921
712421
817321
920821
1023421
1123621
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
74.1%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
74.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 16 to 12 computations (25% saved)

localize110.0ms (1.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(atan.f64 (+.f64 N 1))
74.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite120.0ms (1.5%)

Algorithm
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
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))))

simplify236.0ms (3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03395661
17895017
227274993
Stop Event
node limit
Counts
159 → 191
Calls
Call 1
Inputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 1))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) 2) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (neg.f64 (atan.f64 N)) 2)) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
Outputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (*.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (cbrt.f64 (atan.f64 N)))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (*.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (cbrt.f64 (atan.f64 N)))))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
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(atan.f64 (+.f64 1 N))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) 2))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 1 1/3) (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 1 N)) (cbrt.f64 (atan.f64 (+.f64 1 N)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 8)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))

eval212.0ms (2.7%)

Compiler

Compiled 3489 to 2304 computations (34% saved)

prune29.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1883191
Fresh000
Picked011
Done000
Total1884192
Accurracy
99.2%
Counts
192 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
99.1%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
74.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
73.4%
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
73.4%
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
99.1%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
74.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
73.4%
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
Compiler

Compiled 76 to 60 computations (21.1% saved)

localize471.0ms (6%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
100.0%
(atan.f64 (+.f64 N 1))
99.1%
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
78.5%
(sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
74.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.1%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
100.0%
(atan.f64 (+.f64 N 1))
99.3%
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
99.3%
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
74.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 93 to 60 computations (35.5% saved)

series67.0ms (0.9%)

Counts
6 → 64
Calls

18 calls:

TimeVariablePointExpression
25.0ms
N
@0
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
21.0ms
N
@inf
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
18.0ms
N
@-inf
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
0.0ms
N
@-inf
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
0.0ms
N
@inf
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)

rewrite128.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1684×prod-diff
1356×log-prod
1042×fma-def
554×log1p-udef
552×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018128
1369128
24283128
Stop Event
node limit
Counts
6 → 330
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(fma.f64 N (+.f64 1 N) 1)
(sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
Outputs
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1)
(+.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 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (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 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) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (/.f64 (pow.f64 (atan.f64 N) 2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(*.f64 (cbrt.f64 (pow.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 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4)) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) 1) (fma.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 1 (*.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(/.f64 (fma.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1) (+.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(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)
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
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(fma.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(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 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (sqrt.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 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (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))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) -1)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4)) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4)) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4)) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.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))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))

simplify233.0ms (3%)

Algorithm
egg-herbie
Rules
1094×log-prod
820×associate-+r+
510×fma-neg
390×+-commutative
350×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044713688
191812854
2289712502
3769312502
Stop Event
node limit
Counts
394 → 261
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 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(sqrt.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) -1)
(+.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 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (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 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) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (/.f64 (pow.f64 (atan.f64 N) 2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(*.f64 (cbrt.f64 (pow.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 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4)) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
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(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (cbrt.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 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (cbrt.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(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 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (sqrt.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 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (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))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) -1)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4)) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4)) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4)) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1/4) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (+.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.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))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (neg.f64 (atan.f64 N)) (atan.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 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log.f64 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 (*.f64 -1 N)))) (atan.f64 N)))
(log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 N 1) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 N 1) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 N 1) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 N 1) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 N 1) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 N 1) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(sqrt.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
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(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.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 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(-.f64 (atan.f64 (+.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))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 4))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 4))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 4))

eval879.0ms (11.2%)

Compiler

Compiled 20496 to 13997 computations (31.7% saved)

prune128.0ms (1.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1015101025
Fresh000
Picked123
Done011
Total1016131029
Accurracy
99.2%
Counts
1029 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
73.4%
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
99.1%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
58.1%
(atan2.f64 1 (pow.f64 N 2))
99.1%
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
99.1%
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
50.0%
(atan2.f64 1 (+.f64 N 1))
58.1%
(atan2.f64 1 (*.f64 N N))
48.6%
(atan2.f64 1 1)
74.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
86.3%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
96.8%
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
84.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
98.3%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
73.4%
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
99.1%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
58.1%
(atan2.f64 1 (pow.f64 N 2))
99.1%
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
99.1%
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
50.0%
(atan2.f64 1 (+.f64 N 1))
58.1%
(atan2.f64 1 (*.f64 N N))
48.6%
(atan2.f64 1 1)
74.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
86.3%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
96.8%
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
84.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
Compiler

Compiled 452 to 344 computations (23.9% saved)

localize320.0ms (4.1%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 1 (fma.f64 N N N))
99.1%
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
99.1%
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
84.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
100.0%
(pow.f64 N 2)
99.2%
(atan2.f64 1 (pow.f64 N 2))
100.0%
(atan2.f64 1 (+.f64 N 1))
100.0%
(pow.f64 N 2)
100.0%
(+.f64 N (+.f64 1 (pow.f64 N 2)))
99.1%
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
Compiler

Compiled 96 to 63 computations (34.4% saved)

series9.0ms (0.1%)

Counts
10 → 62
Calls

30 calls:

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

rewrite130.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1502×log-prod
1406×fma-def
640×fma-neg
624×log1p-udef
620×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020180
1432160
25365160
Stop Event
node limit
Counts
10 → 388
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (pow.f64 N 2))
(pow.f64 N 2)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.f64 1 (fma.f64 N N N))
Outputs
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/3))
(*.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 (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 1 1/3) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/3) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (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))) 3/2) 1/3))
(pow.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) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(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 1 (-.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(-.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 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1)))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N N))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (-.f64 1 (fma.f64 N N 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 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1) (+.f64 1 (pow.f64 (fma.f64 N N N) 3))))
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 N N N)) (-.f64 1 (pow.f64 (fma.f64 N N N) 2))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N 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 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N 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 N (pow.f64 N 3)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N 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 1 (pow.f64 (fma.f64 N N N) 3))) (neg.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (neg.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (neg.f64 (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N 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 (+.f64 1 N) 3) (pow.f64 N 6)) (+.f64 (pow.f64 (+.f64 1 N) 2) (-.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (*.f64 N N)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (fma.f64 N N (-.f64 1 N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (+.f64 1 N) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (-.f64 (fma.f64 N N N) 1))
(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 (pow.f64 (exp.f64 N) N) (exp.f64 (+.f64 1 N))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (+.f64 1 (expm1.f64 (+.f64 1 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (exp.f64 (+.f64 1 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (+.f64 1 (expm1.f64 (+.f64 1 N)))))
(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 1 N)) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 N))) (pow.f64 (exp.f64 N) N)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 N))) (+.f64 1 (expm1.f64 (*.f64 N 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 (*.f64 N N) (+.f64 1 N))
(fma.f64 1 (fma.f64 N N 1) N)
(fma.f64 1 (+.f64 1 N) (*.f64 N 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 N N) 1 (+.f64 1 N))
(fma.f64 (fma.f64 N N 1) 1 N)
(fma.f64 (+.f64 1 N) 1 (*.f64 N N))
(fma.f64 (+.f64 1 N) N 1)
(fma.f64 (fma.f64 N N N) 1 1)
(fma.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)) 1)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) (+.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (fma.f64 N N 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) (+.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N))
(fma.f64 (cbrt.f64 (+.f64 1 N)) (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 N N))
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(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) (pow.f64 (cbrt.f64 N) 2) (fma.f64 N N 1))
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(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) (+.f64 1 N))
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(fma.f64 (fma.f64 N N -1) (/.f64 1 (+.f64 N -1)) (*.f64 N N))
(fma.f64 (-.f64 1 (pow.f64 N 4)) (/.f64 1 (-.f64 1 (*.f64 N N))) N)
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(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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(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 1 (-.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(-.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 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1)))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N N))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (-.f64 1 (fma.f64 N N 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 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1) (+.f64 1 (pow.f64 (fma.f64 N N N) 3))))
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 N N N)) (-.f64 1 (pow.f64 (fma.f64 N N N) 2))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N 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 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N 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 N (pow.f64 N 3)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N 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 1 (pow.f64 (fma.f64 N N N) 3))) (neg.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (neg.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (neg.f64 (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N 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 (+.f64 1 N) 3) (pow.f64 N 6)) (+.f64 (pow.f64 (+.f64 1 N) 2) (-.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (*.f64 N N)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (fma.f64 N N (-.f64 1 N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (+.f64 1 N) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (-.f64 (fma.f64 N N N) 1))
(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 (pow.f64 (exp.f64 N) N) (exp.f64 (+.f64 1 N))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (+.f64 1 (expm1.f64 (+.f64 1 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (exp.f64 (+.f64 1 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (+.f64 1 (expm1.f64 (+.f64 1 N)))))
(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 1 N)) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 N))) (pow.f64 (exp.f64 N) N)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 N))) (+.f64 1 (expm1.f64 (*.f64 N 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 (*.f64 N N) (+.f64 1 N))
(fma.f64 1 (fma.f64 N N 1) N)
(fma.f64 1 (+.f64 1 N) (*.f64 N 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 N N) 1 (+.f64 1 N))
(fma.f64 (fma.f64 N N 1) 1 N)
(fma.f64 (+.f64 1 N) 1 (*.f64 N N))
(fma.f64 (+.f64 1 N) N 1)
(fma.f64 (fma.f64 N N N) 1 1)
(fma.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)) 1)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) (+.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (fma.f64 N N 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) (+.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N))
(fma.f64 (cbrt.f64 (+.f64 1 N)) (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (cbrt.f64 (+.f64 1 N)) (*.f64 N 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) (pow.f64 (cbrt.f64 N) 2) (fma.f64 N N 1))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N 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) 1) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) (+.f64 1 N))
(fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (fma.f64 N N (-.f64 1 N))) (*.f64 N N))
(fma.f64 (+.f64 1 (pow.f64 N 6)) (/.f64 1 (fma.f64 (*.f64 N N) (fma.f64 N N -1) 1)) N)
(fma.f64 (fma.f64 N N -1) (/.f64 1 (+.f64 N -1)) (*.f64 N N))
(fma.f64 (-.f64 1 (pow.f64 N 4)) (/.f64 1 (-.f64 1 (*.f64 N N))) N)
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) (+.f64 1 N))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (fma.f64 N N 1))
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (+.f64 1 N))

simplify140.0ms (1.8%)

Algorithm
egg-herbie
Rules
688×associate-+r+
678×associate-+l+
480×fma-neg
476×times-frac
468×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046011204
199810410
2303510084
Stop Event
node limit
Counts
450 → 266
Calls
Call 1
Inputs
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
1
(+.f64 N 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3)
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/3))
(*.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 (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 1 1/3) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/3) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (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))) 3/2) 1/3))
(pow.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) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(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 1 (-.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(-.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 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1)))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N N))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (-.f64 1 (fma.f64 N N 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 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1) (+.f64 1 (pow.f64 (fma.f64 N N N) 3))))
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 N N N)) (-.f64 1 (pow.f64 (fma.f64 N N N) 2))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N 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 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N N)))
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(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) (pow.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))) 3) 1)
(*.f64 (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)))) (pow.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))) 2) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.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))) 3/2) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 3) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3) (pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 6))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
(exp.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
(+.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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/3))
(*.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 (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 1 1/3) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/3) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (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))) 3/2) 1/3))
(pow.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) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(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 1 (-.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(-.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 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1)))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N N))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (-.f64 1 (fma.f64 N N 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 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1) (+.f64 1 (pow.f64 (fma.f64 N N N) 3))))
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 N N N)) (-.f64 1 (pow.f64 (fma.f64 N N N) 2))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N 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 1 (pow.f64 (fma.f64 N N N) 3)) (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N 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 N (pow.f64 N 3)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N 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 1 (pow.f64 (fma.f64 N N N) 3))) (neg.f64 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2))) (neg.f64 (-.f64 1 (fma.f64 N N N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3))) (neg.f64 (fma.f64 (fma.f64 N N 1) (fma.f64 N N (-.f64 1 N)) (*.f64 N 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 (+.f64 1 N) 3) (pow.f64 N 6)) (+.f64 (pow.f64 (+.f64 1 N) 2) (-.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (*.f64 N N)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (fma.f64 N N (-.f64 1 N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (+.f64 1 N) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (-.f64 (fma.f64 N N N) 1))
(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 (pow.f64 (exp.f64 N) N) (exp.f64 (+.f64 1 N))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (+.f64 1 (expm1.f64 (+.f64 1 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (exp.f64 (+.f64 1 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (+.f64 1 (expm1.f64 (+.f64 1 N)))))
(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 1 N)) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 N))) (pow.f64 (exp.f64 N) N)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 N))) (+.f64 1 (expm1.f64 (*.f64 N 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 (*.f64 N N) (+.f64 1 N))
(fma.f64 1 (fma.f64 N N 1) N)
(fma.f64 1 (+.f64 1 N) (*.f64 N 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 N N) 1 (+.f64 1 N))
(fma.f64 (fma.f64 N N 1) 1 N)
(fma.f64 (+.f64 1 N) 1 (*.f64 N N))
(fma.f64 (+.f64 1 N) N 1)
(fma.f64 (fma.f64 N N N) 1 1)
(fma.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)) 1)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) (+.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (fma.f64 N N 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) (+.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N))
(fma.f64 (cbrt.f64 (+.f64 1 N)) (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (cbrt.f64 (+.f64 1 N)) (*.f64 N 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) (pow.f64 (cbrt.f64 N) 2) (fma.f64 N N 1))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N 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) 1) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) (+.f64 1 N))
(fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (fma.f64 N N (-.f64 1 N))) (*.f64 N N))
(fma.f64 (+.f64 1 (pow.f64 N 6)) (/.f64 1 (fma.f64 (*.f64 N N) (fma.f64 N N -1) 1)) N)
(fma.f64 (fma.f64 N N -1) (/.f64 1 (+.f64 N -1)) (*.f64 N N))
(fma.f64 (-.f64 1 (pow.f64 N 4)) (/.f64 1 (-.f64 1 (*.f64 N N))) N)
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) (+.f64 1 N))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (fma.f64 N N 1))
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (+.f64 1 N))
Outputs
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
1
(+.f64 N 1)
(+.f64 1 N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (neg.f64 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 N (fma.f64 N N 1))
(+.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))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 N (fma.f64 N N 1))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (*.f64 N N) (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (fma.f64 N N 1) N)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (+.f64 1 N) (*.f64 N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (fma.f64 N N N) 1)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N 1 (fma.f64 N N 1))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 N N) 1 (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (fma.f64 N N 1) 1 N)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (+.f64 1 N) 1 (*.f64 N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (+.f64 1 N) N 1)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (fma.f64 N N N) 1 1)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) 1)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)) 1)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) (+.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (fma.f64 N N 1))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (fma.f64 N N 1))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) (+.f64 1 N))
(fma.f64 (cbrt.f64 (+.f64 1 N)) (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (cbrt.f64 (+.f64 1 N)) (*.f64 N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 (fma.f64 N N 1)) (pow.f64 (cbrt.f64 (fma.f64 N N 1)) 2) N)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N 1)) 2) (cbrt.f64 (fma.f64 N N 1)) N)
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (fma.f64 N N 1))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N 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))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (fma.f64 N N 1))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (fma.f64 N N (-.f64 1 N))) (*.f64 N N))
(fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N 1) N)) (*.f64 N N))
(+.f64 (*.f64 N N) (/.f64 (+.f64 1 (pow.f64 N 3)) (-.f64 (fma.f64 N N 1) N)))
(fma.f64 (+.f64 1 (pow.f64 N 6)) (/.f64 1 (fma.f64 (*.f64 N N) (fma.f64 N N -1) 1)) N)
(+.f64 N (/.f64 (+.f64 1 (pow.f64 N 6)) (fma.f64 (*.f64 N N) (fma.f64 N N -1) 1)))
(fma.f64 (fma.f64 N N -1) (/.f64 1 (+.f64 N -1)) (*.f64 N N))
(+.f64 (*.f64 N N) (/.f64 (fma.f64 N N -1) (+.f64 N -1)))
(fma.f64 (-.f64 1 (pow.f64 N 4)) (/.f64 1 (-.f64 1 (*.f64 N N))) N)
(+.f64 N (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N))))
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (fabs.f64 (cbrt.f64 N)) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))

eval105.0ms (1.3%)

Compiler

Compiled 4265 to 2738 computations (35.8% saved)

prune55.0ms (0.7%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New2926298
Fresh325
Picked145
Done033
Total29615311
Accurracy
99.3%
Counts
311 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.9%
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
73.4%
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
99.1%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
58.1%
(atan2.f64 1 (pow.f64 N 2))
99.1%
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
64.4%
(atan2.f64 1 (+.f64 N (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N)))))
99.1%
(atan2.f64 1 (+.f64 N (+.f64 1 (+.f64 0 (*.f64 N N)))))
50.0%
(atan2.f64 1 (+.f64 N 1))
57.7%
(atan2.f64 1 (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N)))
27.0%
(atan2.f64 1 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))
58.1%
(atan2.f64 1 (*.f64 N N))
48.6%
(atan2.f64 1 1)
74.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
55.9%
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
84.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
57.9%
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
73.4%
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
99.1%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
58.1%
(atan2.f64 1 (pow.f64 N 2))
99.1%
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
64.4%
(atan2.f64 1 (+.f64 N (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N)))))
99.1%
(atan2.f64 1 (+.f64 N (+.f64 1 (+.f64 0 (*.f64 N N)))))
50.0%
(atan2.f64 1 (+.f64 N 1))
57.7%
(atan2.f64 1 (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N)))
27.0%
(atan2.f64 1 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))
58.1%
(atan2.f64 1 (*.f64 N N))
48.6%
(atan2.f64 1 1)
74.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
55.9%
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
84.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
Compiler

Compiled 444 to 326 computations (26.6% saved)

localize546.0ms (6.9%)

Local Accuracy

Found 11 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 N (pow.f64 (cbrt.f64 N) 2))
99.9%
(*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
99.8%
(pow.f64 (cbrt.f64 N) 2)
99.7%
(cbrt.f64 N)
100.0%
(atan2.f64 1 (*.f64 N N))
99.6%
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
99.6%
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
100.0%
(/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N)))
100.0%
(atan2.f64 1 (+.f64 N (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N)))))
100.0%
(atan2.f64 1 (*.f64 N N))
100.0%
(atan2.f64 1 (+.f64 N (+.f64 1 (+.f64 0 (*.f64 N N)))))
Compiler

Compiled 168 to 91 computations (45.8% saved)

series12.0ms (0.1%)

Counts
11 → 96
Calls

33 calls:

TimeVariablePointExpression
2.0ms
N
@-inf
(*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
2.0ms
N
@0
(*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
1.0ms
N
@-inf
(pow.f64 (cbrt.f64 N) 2)
1.0ms
N
@inf
(/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N)))
0.0ms
N
@-inf
(cbrt.f64 N)

rewrite129.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1290×fma-neg
672×expm1-udef
666×log1p-udef
442×add-sqr-sqrt
436×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026159
1598147
26295147
Stop Event
node limit
Counts
11 → 306
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 N (+.f64 1 (+.f64 0 (*.f64 N N)))))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N)))))
(/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(atan2.f64 1 (*.f64 N N))
(cbrt.f64 N)
(pow.f64 (cbrt.f64 N) 2)
(*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(*.f64 N (pow.f64 (cbrt.f64 N) 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))
(*.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(-.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 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))) (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4) (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4)) (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(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 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))
(*.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(+.f64 1 (*.f64 N N))
(+.f64 0 (fma.f64 N N 1))
(+.f64 (*.f64 N N) 1)
(+.f64 (fma.f64 N N 1) 0)
(+.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) 1)
(*.f64 1 (fma.f64 N N 1))
(*.f64 (fma.f64 N N 1) 1)
(*.f64 (-.f64 1 (pow.f64 N 4)) (/.f64 1 (-.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 N 4))) (/.f64 1 (-.f64 1 (*.f64 N N)))))
(*.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (/.f64 1 (-.f64 1 (*.f64 N N)))))
(*.f64 (hypot.f64 1 N) (hypot.f64 1 N))
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(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (-.f64 1 (*.f64 N N))) -1)
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(fma.f64 (*.f64 (*.f64 N (cbrt.f64 N)) 1) (pow.f64 (cbrt.f64 N) 2) 0)
(fma.f64 (*.f64 (*.f64 N (cbrt.f64 N)) (cbrt.f64 (*.f64 N (cbrt.f64 N)))) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) 0)
(fma.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 (*.f64 N N) (*.f64 N (cbrt.f64 N))))) (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 0)
(fma.f64 (*.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 N) (sqrt.f64 N))) (*.f64 (cbrt.f64 N) (sqrt.f64 N)) 0)
(fma.f64 (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)) (cbrt.f64 (cbrt.f64 N)) 0)
(fma.f64 (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (pow.f64 N 1/6)) (pow.f64 N 1/6) 0)
(fma.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 4))) (fma.f64 N N 1) -1)
(fma.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 6))) (+.f64 (+.f64 1 (pow.f64 N 4)) (*.f64 N N)) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)))) 1)
(pow.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 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) (*.f64 N (cbrt.f64 N))))
(log.f64 (pow.f64 (exp.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)))))
(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 (*.f64 N (pow.f64 (cbrt.f64 N) 2))))
(exp.f64 (log.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))))

simplify125.0ms (1.6%)

Algorithm
egg-herbie
Rules
642×associate-*r*
620×log-prod
602×fma-neg
562×associate-*l*
550×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04728446
110038240
239007700
Stop Event
node limit
Counts
402 → 314
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(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 (+.f64 N (/.f64 1 (-.f64 1 (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 N (/.f64 1 (-.f64 1 (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 N (/.f64 1 (-.f64 1 (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 N (/.f64 1 (-.f64 1 (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 N (/.f64 1 (-.f64 1 (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 N (/.f64 1 (-.f64 1 (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 N (/.f64 1 (-.f64 1 (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 N (/.f64 1 (-.f64 1 (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (/.f64 1 (-.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 N 2))) (*.f64 -1 N))))
(atan2.f64 1 (-.f64 (/.f64 1 (-.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 N 2))) (*.f64 -1 N))))
(atan2.f64 1 (-.f64 (/.f64 1 (-.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 N 2))) (*.f64 -1 N))))
(atan2.f64 1 (-.f64 (/.f64 1 (-.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (pow.f64 N 2))) (*.f64 -1 N))))
1
(+.f64 1 (pow.f64 N 2))
(+.f64 1 (pow.f64 N 2))
(+.f64 1 (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 1 (pow.f64 N 2))
(+.f64 1 (pow.f64 N 2))
(+.f64 1 (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 1 (pow.f64 N 2))
(+.f64 1 (pow.f64 N 2))
(+.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 (pow.f64 N 2))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (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 (pow.f64 N 2))
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))
(*.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(-.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 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))) (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4) (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4)) (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(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 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))
(*.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 N (fma.f64 N N 1)))))
(+.f64 1 (*.f64 N N))
(+.f64 0 (fma.f64 N N 1))
(+.f64 (*.f64 N N) 1)
(+.f64 (fma.f64 N N 1) 0)
(+.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) 1)
(*.f64 1 (fma.f64 N N 1))
(*.f64 (fma.f64 N N 1) 1)
(*.f64 (-.f64 1 (pow.f64 N 4)) (/.f64 1 (-.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 N 4))) (/.f64 1 (-.f64 1 (*.f64 N N)))))
(*.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (/.f64 1 (-.f64 1 (*.f64 N N)))))
(*.f64 (hypot.f64 1 N) (hypot.f64 1 N))
(*.f64 (neg.f64 (-.f64 1 (pow.f64 N 4))) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 1 (pow.f64 N 4)))
(*.f64 (+.f64 1 (pow.f64 N 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 N 4) (*.f64 N N)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (/.f64 (-.f64 1 (pow.f64 N 4)) (cbrt.f64 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 N N)))) (/.f64 (-.f64 1 (pow.f64 N 4)) (sqrt.f64 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 N 4))) (-.f64 1 (*.f64 N N))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (cbrt.f64 (fma.f64 N N 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) (sqrt.f64 (-.f64 1 (*.f64 N N)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 N 4))) (sqrt.f64 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (-.f64 1 (*.f64 N N))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (cbrt.f64 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 4))) (fma.f64 N N 1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 6))) (+.f64 (+.f64 1 (pow.f64 N 4)) (*.f64 N N)))
(pow.f64 (fma.f64 N N 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N 1)) 3)
(pow.f64 (pow.f64 (fma.f64 N N 1) 3) 1/3)
(pow.f64 (hypot.f64 1 N) 2)
(pow.f64 (/.f64 1 (fma.f64 N N 1)) -1)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (neg.f64 (-.f64 1 (*.f64 N N)))))
(sqrt.f64 (pow.f64 (fma.f64 N N 1) 2))
(log.f64 (exp.f64 (fma.f64 N N 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N 1))))
(cbrt.f64 (pow.f64 (fma.f64 N N 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N 1)))
(hypot.f64 (hypot.f64 1 N) (hypot.f64 N (*.f64 N N)))
(hypot.f64 (hypot.f64 N (*.f64 N N)) (hypot.f64 1 N))
(exp.f64 (log1p.f64 (*.f64 N N)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N N 1)))
(fma.f64 1 (*.f64 N N) 1)
(fma.f64 1 (/.f64 1 (-.f64 1 (*.f64 N N))) (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))))
(fma.f64 N N 1)
(fma.f64 (cbrt.f64 N) (*.f64 N (pow.f64 (cbrt.f64 N) 2)) 1)
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) 1)
(fma.f64 (*.f64 N (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) 1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 N N)))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 N N))))) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 N N)))) (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))))
(fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 N N)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 N N)))) (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))))
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 N 4))) (fma.f64 N N 1) (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))))
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 N 6))) (+.f64 (+.f64 1 (pow.f64 N 4)) (*.f64 N N)) (neg.f64 (/.f64 (pow.f64 N 4) (-.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 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))) (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4) (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4)) (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(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))))
(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 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))))) 1)
(*.f64 1 (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4) (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 1/2))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3/2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4) 2)
(fabs.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 N N))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))) 1))
(log1p.f64 (expm1.f64 (sqrt.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 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))) (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4) (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4)) (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(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 (exp.f64 (log1p.f64 (cbrt.f64 N))) 1)
(*.f64 1 (cbrt.f64 N))
(*.f64 (cbrt.f64 N) 1)
(*.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 (*.f64 N (cbrt.f64 N)))) (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 (cbrt.f64 N) 1)
(pow.f64 (pow.f64 (cbrt.f64 N) 2) 1/2)
(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 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 N) 2))
(*.f64 (cbrt.f64 N) (cbrt.f64 N))
(*.f64 (pow.f64 (cbrt.f64 N) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (*.f64 N (cbrt.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 N)))
(*.f64 (cbrt.f64 (*.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))
(*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))))
(*.f64 (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (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 (*.f64 N N) (*.f64 N (cbrt.f64 N)))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 N 4))) (cbrt.f64 (*.f64 N (neg.f64 N))))
(sqrt.f64 (*.f64 N (cbrt.f64 N)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 N) 2))))
(cbrt.f64 (*.f64 N N))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 N))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 N) 2)))
(+.f64 0 (*.f64 N N))
(+.f64 (*.f64 N N) 0)
(-.f64 (*.f64 N N) 0)
(-.f64 (fma.f64 N N 1) 1)
(-.f64 (/.f64 0 (*.f64 N (neg.f64 N))) (/.f64 (pow.f64 N 4) (*.f64 N (neg.f64 N))))
(/.f64 1 (/.f64 (pow.f64 N 4) (pow.f64 N 6)))
(/.f64 1 (/.f64 (*.f64 N (neg.f64 N)) (neg.f64 (pow.f64 N 4))))
(/.f64 (pow.f64 N 4) (*.f64 N N))
(/.f64 (pow.f64 N 6) (pow.f64 N 4))
(/.f64 (neg.f64 (pow.f64 N 4)) (*.f64 N (neg.f64 N)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 N 4))) (neg.f64 (*.f64 N (neg.f64 N))))
(/.f64 (neg.f64 (pow.f64 N 6)) (neg.f64 (pow.f64 N 4)))
(pow.f64 N 2)
(pow.f64 (*.f64 N N) 1)
(pow.f64 (pow.f64 N 4) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 N) 2) 3)
(pow.f64 (pow.f64 N 6) 1/3)
(sqrt.f64 (pow.f64 N 4))
(fabs.f64 (*.f64 N N))
(log.f64 (pow.f64 (exp.f64 N) N))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N N))))
(cbrt.f64 (pow.f64 N 6))
(expm1.f64 (log1p.f64 (*.f64 N N)))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 N N)) 1))
(exp.f64 (*.f64 2 (log.f64 N)))
(exp.f64 (*.f64 (log.f64 N) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 N)) 1))
(log1p.f64 (expm1.f64 (*.f64 N N)))
(fma.f64 1 (*.f64 N N) 0)
(fma.f64 1 (fma.f64 N N 1) -1)
(fma.f64 N N 0)
(fma.f64 (*.f64 N N) 1 0)
(fma.f64 (fma.f64 N N 1) 1 -1)
(fma.f64 (-.f64 1 (pow.f64 N 4)) (/.f64 1 (-.f64 1 (*.f64 N N))) -1)
(fma.f64 (cbrt.f64 N) (*.f64 N (pow.f64 (cbrt.f64 N) 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N (cbrt.f64 N)) 0)
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) 0)
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (*.f64 (cbrt.f64 (cbrt.f64 N)) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 0)
(fma.f64 (*.f64 N (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) 0)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 N 4))) (/.f64 1 (-.f64 1 (*.f64 N N)))) -1)
(fma.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) -1)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 N N) (*.f64 N (cbrt.f64 N)))) (*.f64 (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N)) 0)
(fma.f64 (pow.f64 N 1/6) (*.f64 (pow.f64 N 1/6) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 0)
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (/.f64 1 (-.f64 1 (*.f64 N N)))) -1)
(fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) -1)
(fma.f64 (*.f64 (cbrt.f64 N) (sqrt.f64 N)) (*.f64 (*.f64 (cbrt.f64 N) (sqrt.f64 N)) (cbrt.f64 N)) 0)
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) 0)
(fma.f64 (neg.f64 (-.f64 1 (pow.f64 N 4))) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 N N)))) -1)
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 1 (pow.f64 N 4)) -1)
(fma.f64 (+.f64 1 (pow.f64 N 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 N 4) (*.f64 N N)))) -1)
(fma.f64 (pow.f64 N 6) (/.f64 1 (pow.f64 N 4)) 0)
(fma.f64 (neg.f64 (pow.f64 N 4)) (/.f64 1 (*.f64 N (neg.f64 N))) 0)
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) 0)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 8))) (pow.f64 (cbrt.f64 N) 2) 0)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (/.f64 (-.f64 1 (pow.f64 N 4)) (cbrt.f64 (-.f64 1 (*.f64 N N)))) -1)
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 N N)))) (/.f64 (-.f64 1 (pow.f64 N 4)) (sqrt.f64 (-.f64 1 (*.f64 N N)))) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 N 4))) (-.f64 1 (*.f64 N N))) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (cbrt.f64 (fma.f64 N N 1)) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) (sqrt.f64 (-.f64 1 (*.f64 N N)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 N 4))) (sqrt.f64 (-.f64 1 (*.f64 N N)))) -1)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (-.f64 1 (*.f64 N N))) -1)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (cbrt.f64 (-.f64 1 (*.f64 N N)))) -1)
(fma.f64 (*.f64 (*.f64 N (cbrt.f64 N)) 1) (pow.f64 (cbrt.f64 N) 2) 0)
(fma.f64 (*.f64 (*.f64 N (cbrt.f64 N)) (cbrt.f64 (*.f64 N (cbrt.f64 N)))) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) 0)
(fma.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 (*.f64 N N) (*.f64 N (cbrt.f64 N))))) (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 0)
(fma.f64 (*.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 N) (sqrt.f64 N))) (*.f64 (cbrt.f64 N) (sqrt.f64 N)) 0)
(fma.f64 (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)) (cbrt.f64 (cbrt.f64 N)) 0)
(fma.f64 (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (pow.f64 N 1/6)) (pow.f64 N 1/6) 0)
(fma.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 4))) (fma.f64 N N 1) -1)
(fma.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 6))) (+.f64 (+.f64 1 (pow.f64 N 4)) (*.f64 N N)) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)))) 1)
(pow.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 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) (*.f64 N (cbrt.f64 N))))
(log.f64 (pow.f64 (exp.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)))))
(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 (*.f64 N (pow.f64 (cbrt.f64 N) 2))))
(exp.f64 (log.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))))
Outputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N))))
(fma.f64 (+.f64 1 (pow.f64 N 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 N 4) (*.f64 N N)))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 N 6)) (+.f64 1 (-.f64 (pow.f64 N 4) (*.f64 N N)))))
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))))
(fma.f64 (pow.f64 N 6) (/.f64 1 (pow.f64 N 4)) 0)
(*.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 N 6))
(*.f64 (pow.f64 N 6) (/.f64 1 (pow.f64 N 4)))
(/.f64 (pow.f64 N 6) (pow.f64 N 4))
(fma.f64 (neg.f64 (pow.f64 N 4)) (/.f64 1 (*.f64 N (neg.f64 N))) 0)
(*.f64 N N)
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) 0)
(*.f64 N N)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 8))) (pow.f64 (cbrt.f64 N) 2) 0)
(*.f64 (pow.f64 (cbrt.f64 N) 2) (sqrt.f64 (cbrt.f64 (pow.f64 N 8))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (/.f64 (-.f64 1 (pow.f64 N 4)) (cbrt.f64 (-.f64 1 (*.f64 N N)))) -1)
(+.f64 -1 (/.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (cbrt.f64 (-.f64 1 (*.f64 N N)))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)))
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 N N)))) (/.f64 (-.f64 1 (pow.f64 N 4)) (sqrt.f64 (-.f64 1 (*.f64 N N)))) -1)
(+.f64 -1 (/.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (sqrt.f64 (-.f64 1 (*.f64 N N)))) (sqrt.f64 (-.f64 1 (*.f64 N N)))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 N 4))) (-.f64 1 (*.f64 N N))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (cbrt.f64 (-.f64 1 (pow.f64 N 4)))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 N 4))) (-.f64 1 (*.f64 N N))) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (cbrt.f64 (fma.f64 N N 1)) -1)
(fma.f64 (cbrt.f64 (fma.f64 N N 1)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 N 4)) 2)) (sqrt.f64 (-.f64 1 (*.f64 N N)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 N 4))) (sqrt.f64 (-.f64 1 (*.f64 N N)))) -1)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (-.f64 1 (*.f64 N N))) -1)
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 1 (pow.f64 N 4)) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N))))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 4))) (cbrt.f64 (-.f64 1 (*.f64 N N)))) -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (/.f64 (-.f64 1 (pow.f64 N 4)) (cbrt.f64 (-.f64 1 (*.f64 N N)))) -1)
(+.f64 -1 (/.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (cbrt.f64 (-.f64 1 (*.f64 N N)))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)))
(fma.f64 (*.f64 (*.f64 N (cbrt.f64 N)) 1) (pow.f64 (cbrt.f64 N) 2) 0)
(*.f64 N N)
(fma.f64 (*.f64 (*.f64 N (cbrt.f64 N)) (cbrt.f64 (*.f64 N (cbrt.f64 N)))) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) 0)
(fma.f64 (*.f64 N (*.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N (cbrt.f64 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) 0)
(*.f64 N (*.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N (cbrt.f64 N)))) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)))
(*.f64 (cbrt.f64 (*.f64 N (cbrt.f64 N))) (*.f64 (*.f64 N (cbrt.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)))
(fma.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 (*.f64 N N) (*.f64 N (cbrt.f64 N))))) (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 N 3) (cbrt.f64 N))) (*.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)))) 0)
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 N) (pow.f64 N 3))) (*.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)))))
(*.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 N) (pow.f64 N 3))) (cbrt.f64 (pow.f64 (cbrt.f64 N) 5))))
(fma.f64 (*.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 N) (sqrt.f64 N))) (*.f64 (cbrt.f64 N) (sqrt.f64 N)) 0)
(*.f64 N N)
(fma.f64 (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)) (cbrt.f64 (cbrt.f64 N)) 0)
(*.f64 N N)
(fma.f64 (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (pow.f64 N 1/6)) (pow.f64 N 1/6) 0)
(*.f64 N N)
(fma.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 4))) (fma.f64 N N 1) -1)
(*.f64 N N)
(fma.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 6))) (+.f64 (+.f64 1 (pow.f64 N 4)) (*.f64 N N)) -1)
(fma.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 6))) (+.f64 1 (+.f64 (pow.f64 N 4) (*.f64 N N))) -1)
(fma.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 6))) (+.f64 (pow.f64 N 4) (fma.f64 N N 1)) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)))) 1)
(*.f64 N (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (cbrt.f64 N) 5)
(pow.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) 1)
(*.f64 N (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (cbrt.f64 N) 5)
(pow.f64 (cbrt.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 3)
(*.f64 N (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (cbrt.f64 N) 5)
(pow.f64 (*.f64 (pow.f64 N 4) N) 1/3)
(cbrt.f64 (pow.f64 N 5))
(pow.f64 (*.f64 (cbrt.f64 N) (sqrt.f64 N)) 2)
(*.f64 N (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (cbrt.f64 N) 5)
(sqrt.f64 (*.f64 (*.f64 N N) (*.f64 N (cbrt.f64 N))))
(sqrt.f64 (*.f64 (pow.f64 N 3) (cbrt.f64 N)))
(sqrt.f64 (*.f64 (cbrt.f64 N) (pow.f64 N 3)))
(log.f64 (pow.f64 (exp.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 N (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (cbrt.f64 N) 5)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)))))
(*.f64 N (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (cbrt.f64 N) 5)
(cbrt.f64 (*.f64 (pow.f64 N 4) N))
(cbrt.f64 (pow.f64 N 5))
(cbrt.f64 (*.f64 (pow.f64 N 3) (*.f64 N N)))
(cbrt.f64 (pow.f64 N 5))
(cbrt.f64 (*.f64 (*.f64 N N) (pow.f64 N 3)))
(cbrt.f64 (pow.f64 N 5))
(expm1.f64 (log1p.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))))
(*.f64 N (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (cbrt.f64 N) 5)
(exp.f64 (log.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))))
(*.f64 N (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (cbrt.f64 N) 5)
(exp.f64 (*.f64 (log.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) 1))
(*.f64 N (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (cbrt.f64 N) 5)
(log1p.f64 (expm1.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2))))
(*.f64 N (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (cbrt.f64 N) 5)

eval115.0ms (1.5%)

Compiler

Compiled 5488 to 3563 computations (35.1% saved)

prune69.0ms (0.9%)

Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New3608368
Fresh033
Picked325
Done077
Total36320383
Accurracy
99.3%
Counts
383 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.9%
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
73.4%
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
99.1%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
58.1%
(atan2.f64 1 (pow.f64 N 2))
19.0%
(atan2.f64 1 (/.f64 (pow.f64 N 4) (*.f64 N N)))
19.0%
(atan2.f64 1 (/.f64 1 (/.f64 (*.f64 N (neg.f64 N)) (neg.f64 (pow.f64 N 4)))))
99.1%
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
99.1%
(atan2.f64 1 (+.f64 N (+.f64 (*.f64 N N) 1)))
64.4%
(atan2.f64 1 (+.f64 N (*.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 1 (pow.f64 N 4)))))
87.0%
(atan2.f64 1 (+.f64 N (*.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)))))
58.7%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
50.0%
(atan2.f64 1 (+.f64 N 1))
58.0%
(atan2.f64 1 (*.f64 (*.f64 N (/.f64 N (cbrt.f64 N))) (cbrt.f64 N)))
27.0%
(atan2.f64 1 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))
57.9%
(atan2.f64 1 (*.f64 (*.f64 N (cbrt.f64 (*.f64 N N))) (cbrt.f64 N)))
58.1%
(atan2.f64 1 (*.f64 N N))
48.6%
(atan2.f64 1 1)
74.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
55.9%
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
84.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
Compiler

Compiled 480 to 329 computations (31.5% saved)

regimes25.0ms (0.3%)

Counts
28 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (+.f64 N (*.f64 N N)))
(atan2.f64 1 (+.f64 N (+.f64 (*.f64 N N) 1)))
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (+.f64 0 (*.f64 N N)))))
(atan2.f64 1 (pow.f64 N 2))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (pow.f64 N 4) (*.f64 N N)))
(atan2.f64 1 (/.f64 1 (/.f64 (*.f64 N (neg.f64 N)) (neg.f64 (pow.f64 N 4)))))
(atan2.f64 1 (+.f64 N (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 N (*.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 1 (pow.f64 N 4)))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(atan2.f64 1 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))
(atan2.f64 1 (*.f64 (*.f64 N (cbrt.f64 (*.f64 N N))) (cbrt.f64 N)))
(atan2.f64 1 (*.f64 (*.f64 N (/.f64 N (cbrt.f64 N))) (cbrt.f64 N)))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(atan2.f64 1 (+.f64 N (*.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
Outputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Calls

2 calls:

13.0ms
N
4.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.1%1N
99.1%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 289 to 189 computations (34.6% saved)

regimes11.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (+.f64 N (*.f64 N N)))
(atan2.f64 1 (+.f64 N (+.f64 (*.f64 N N) 1)))
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (+.f64 0 (*.f64 N N)))))
(atan2.f64 1 (pow.f64 N 2))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Outputs
(atan2.f64 1 (+.f64 N (+.f64 (*.f64 N N) 1)))
Calls

2 calls:

6.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.1%1N
99.1%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 72 to 47 computations (34.7% saved)

regimes13.0ms (0.2%)

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

1 calls:

12.0ms
N
Results
AccuracySegmentsBranch
96.6%3N
Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes10.0ms (0.1%)

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

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
95.9%3N
Compiler

Compiled 16 to 12 computations (25% saved)

regimes11.0ms (0.1%)

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:

11.0ms
N
Results
AccuracySegmentsBranch
95.2%3N
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

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
48.6%1N
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.0009306875585259555
3.755289707459683
15.0ms
-3309.2365996458075
-0.22514989002893818
Results
29.0ms256×body256valid
Compiler

Compiled 268 to 201 computations (25% saved)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
0.0009306875585259555
3.755289707459683
15.0ms
-3309.2365996458075
-0.22514989002893818
Results
30.0ms256×body256valid
Compiler

Compiled 236 to 185 computations (21.6% saved)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
0.0009306875585259555
3.755289707459683
14.0ms
-3309.2365996458075
-0.22514989002893818
Results
30.0ms256×body256valid
Compiler

Compiled 204 to 169 computations (17.2% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034206
150206
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (+.f64 (*.f64 N N) 1)))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (*.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (*.f64 N N)))))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 3715469692580659/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (*.f64 N N))))
(if (<=.f64 N -1) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 1)
Outputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (+.f64 (*.f64 N N) 1)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (*.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (*.f64 N N)))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (+.f64 N (*.f64 N N))) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 3715469692580659/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (*.f64 N N))))
(if (or (<=.f64 N -5584463537939415/9007199254740992) (not (<=.f64 N 3715469692580659/2251799813685248))) (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 83 to 63 computations (24.1% saved)

soundness1.2s (15.7%)

Rules
1502×log-prod
1406×fma-def
1376×prod-diff
1290×fma-neg
1214×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119432
2265632
03395661
17895017
227274993
044713688
191812854
2289712502
3769312502
020180
1432160
25365160
046011204
199810410
2303510084
04728446
110038240
239007700
026159
1598147
26295147
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 530 to 383 computations (27.7% saved)

end0.0ms (0%)

preprocess117.0ms (1.5%)

Compiler

Compiled 194 to 140 computations (27.8% saved)

Profiling

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