2atan (example 3.5)

Details

Time bar (total: 4.3s)

analyze0.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample1.4s (32.5%)

Results
544.0ms2189×body2048valid
531.0ms4508×body256valid
184.0ms1055×body1024valid
139.0ms504×body512valid
Bogosity

preprocess21.0ms (0.5%)

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
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify21.0ms (0.5%)

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
76.0%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
76.0%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 16 to 12 computations (25% saved)

localize57.0ms (1.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(atan.f64 (+.f64 N 1))
76.0%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite81.0ms (1.9%)

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))))

simplify87.0ms (2%)

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))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) 2))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 1 1/3) (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 1 N)) (cbrt.f64 (atan.f64 (+.f64 1 N)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 8)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))

eval67.0ms (1.5%)

Compiler

Compiled 3489 to 2304 computations (34% saved)

prune22.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1901191
Fresh000
Picked011
Done000
Total1902192
Accurracy
99.1%
Counts
192 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
76.0%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
99.1%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
76.0%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize33.0ms (0.8%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.1%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite61.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify54.0ms (1.2%)

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

Useful iterations: 2 (0.0ms)

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

eval14.0ms (0.3%)

Compiler

Compiled 684 to 468 computations (31.6% saved)

prune27.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New481058
Fresh000
Picked101
Done101
Total501060
Accurracy
99.1%
Counts
60 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
97.0%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
55.1%
(atan2.f64 1 (fma.f64 N N N))
98.6%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
99.1%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
55.1%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
56.1%
(atan2.f64 1 (+.f64 N 1))
54.5%
(atan2.f64 1 (*.f64 N N))
55.2%
(atan2.f64 1 1)
83.7%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
98.2%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
97.0%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
55.1%
(atan2.f64 1 (fma.f64 N N N))
98.6%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
99.1%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
55.1%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
56.1%
(atan2.f64 1 (+.f64 N 1))
54.5%
(atan2.f64 1 (*.f64 N N))
55.2%
(atan2.f64 1 1)
83.7%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
Compiler

Compiled 356 to 276 computations (22.5% saved)

localize144.0ms (3.3%)

Local Accuracy

Found 7 expressions with local accuracy:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.7%
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
99.1%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
79.7%
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
99.1%
(atan2.f64 1 (fma.f64 N N N))
100.0%
(+.f64 N (*.f64 N N))
99.1%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
Compiler

Compiled 101 to 63 computations (37.6% saved)

series5.0ms (0.1%)

Counts
6 → 44
Calls

18 calls:

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

rewrite137.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1344×fma-def
1288×log-prod
540×fma-neg
516×expm1-udef
516×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018100
1388100
24658100
Stop Event
node limit
Counts
6 → 281
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
(+.f64 N (*.f64 N N))
(atan2.f64 1 (fma.f64 N N N))
(cbrt.f64 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
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)))))))
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(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 N (fma.f64 N N -1))) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(*.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (exp.f64 (*.f64 2/3 (log1p.f64 (fma.f64 N N N)))))
(*.f64 (+.f64 1 (fma.f64 N N N)) 1)
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (fma.f64 N N N))))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (exp.f64 (*.f64 2/3 (log1p.f64 (fma.f64 N N N))))))
(*.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (fma.f64 N N N)))) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (*.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) (exp.f64 (*.f64 2/3 (log1p.f64 (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 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (fma.f64 N N N))))) 3) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3))
(*.f64 (*.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (fma.f64 N N N)))) 1) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (*.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (fma.f64 N N N)))) (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (fma.f64 N N N)))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (*.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (fma.f64 N N N)))) (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6)) (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) (+.f64 1 (pow.f64 (fma.f64 N N N) 3))))
(/.f64 1 (/.f64 (+.f64 N (fma.f64 N N -1)) (+.f64 (pow.f64 (fma.f64 N N N) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 N N N) 2) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (+.f64 N (fma.f64 N N -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1)) (neg.f64 (+.f64 N (fma.f64 N N -1))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N 1) (fma.f64 N N 1)) (*.f64 N (fma.f64 N N 1)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (fma.f64 N N 1) (fma.f64 N N 1))) (-.f64 N (fma.f64 N N 1)))
(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 (+.f64 1 (expm1.f64 N)) (exp.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 (+.f64 1 N)) (pow.f64 (exp.f64 N) 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)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 N N 1)) (exp.f64 N)))
(log.f64 (*.f64 (exp.f64 (fma.f64 N N 1)) (+.f64 1 (expm1.f64 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 N (*.f64 (fma.f64 N N 1) 1))
(fma.f64 1 (*.f64 N N) (+.f64 1 N))
(fma.f64 1 (fma.f64 N N N) 1)
(fma.f64 1 (+.f64 1 N) (*.f64 N N))
(fma.f64 1 (fma.f64 N N 1) N)
(fma.f64 N 1 (fma.f64 N N 1))
(fma.f64 N 1 (*.f64 (fma.f64 N N 1) 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 N) 1 1)
(fma.f64 (+.f64 1 N) 1 (*.f64 N N))
(fma.f64 (+.f64 1 N) N 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 (fma.f64 N N N)) 2) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1) 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) (cbrt.f64 N) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) (+.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (+.f64 1 N)) 1)
(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 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 (cbrt.f64 (+.f64 1 N)) N) 1)
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (fma.f64 N N 1))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1) 1)
(fma.f64 (sqrt.f64 (+.f64 1 N)) (sqrt.f64 (+.f64 1 N)) (*.f64 N N))
(fma.f64 (sqrt.f64 (+.f64 1 N)) (*.f64 (sqrt.f64 (+.f64 1 N)) N) 1)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) (+.f64 1 N))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 N)) 1)
(fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N 1) N)) (*.f64 N N))
(fma.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))) 1)
(fma.f64 (-.f64 1 (*.f64 N N)) (/.f64 1 (-.f64 1 N)) (*.f64 N N))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 N (*.f64 N N))) 1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (fma.f64 N N 1))) (cbrt.f64 (fma.f64 N N 1)) 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 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) N)
(fma.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) 1)
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (+.f64 1 N))
(fma.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) 1)
(fma.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N) 1)
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (+.f64 1 N)) 1)
(fma.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)) 1)

simplify172.0ms (4%)

Algorithm
egg-herbie
Rules
1876×times-frac
850×fma-neg
730×cancel-sign-sub-inv
450×log-prod
366×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05237829
111427507
233327395
Stop Event
node limit
Counts
325 → 354
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
1
(+.f64 (*.f64 1/3 N) 1)
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) 1))
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3)))))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
1
(+.f64 N 1)
(+.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 (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)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(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))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 N (*.f64 N N))))
(*.f64 1 (fma.f64 N N N))
(*.f64 N (+.f64 1 N))
(*.f64 (fma.f64 N N N) 1)
(*.f64 (+.f64 1 N) N)
(*.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (+.f64 1 N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 (cbrt.f64 (+.f64 1 N)) N))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1))
(*.f64 (sqrt.f64 (+.f64 1 N)) (*.f64 (sqrt.f64 (+.f64 1 N)) N))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 N)))
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 N (*.f64 N N))))
(*.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))))
(*.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 (*.f64 N (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (+.f64 1 N)))
(*.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)) (+.f64 (pow.f64 N 6) (pow.f64 N 3))))
(/.f64 1 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (neg.f64 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 4))) (neg.f64 (-.f64 N (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 N (-.f64 N 1)))
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 N (-.f64 1 (*.f64 N N))) (-.f64 1 N))
(/.f64 (*.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) 1) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) 1) (-.f64 N (*.f64 N N)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
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(fma.f64 (+.f64 1 N) 1 (*.f64 N N))
(fma.f64 (+.f64 1 N) N 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 (fma.f64 N N N)) 2) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1) 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) (cbrt.f64 N) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) (+.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (+.f64 1 N)) 1)
(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 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 (cbrt.f64 (+.f64 1 N)) N) 1)
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (fma.f64 N N 1))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1) 1)
(fma.f64 (sqrt.f64 (+.f64 1 N)) (sqrt.f64 (+.f64 1 N)) (*.f64 N N))
(fma.f64 (sqrt.f64 (+.f64 1 N)) (*.f64 (sqrt.f64 (+.f64 1 N)) N) 1)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) (+.f64 1 N))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 N)) 1)
(fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N 1) N)) (*.f64 N N))
(fma.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))) 1)
(fma.f64 (-.f64 1 (*.f64 N N)) (/.f64 1 (-.f64 1 N)) (*.f64 N N))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 N (*.f64 N N))) 1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (fma.f64 N N 1))) (cbrt.f64 (fma.f64 N N 1)) 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 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) N)
(fma.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) 1)
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (+.f64 1 N))
(fma.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) 1)
(fma.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N) 1)
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (+.f64 1 N)) 1)
(fma.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)) 1)
Outputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
1
(+.f64 (*.f64 1/3 N) 1)
(fma.f64 1/3 N 1)
(fma.f64 N 1/3 1)
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) 1))
(fma.f64 1/3 N (fma.f64 2/9 (*.f64 N N) 1))
(fma.f64 N 1/3 (fma.f64 2/9 (*.f64 N N) 1))
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3)))))
(fma.f64 1/3 N (+.f64 (fma.f64 2/9 (*.f64 N N) 1) (*.f64 -13/81 (pow.f64 N 3))))
(fma.f64 N 1/3 (fma.f64 2/9 (*.f64 N N) (fma.f64 -13/81 (pow.f64 N 3) 1)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (+.f64 N 1) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1) 1/3) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.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 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(fma.f64 N N N)
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 N (*.f64 N N))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3)))
(*.f64 1 (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 N (+.f64 1 N))
(fma.f64 N N N)
(*.f64 (fma.f64 N N N) 1)
(fma.f64 N N N)
(*.f64 (+.f64 1 N) N)
(fma.f64 N N N)
(*.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2))
(fma.f64 N N N)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1))
(fma.f64 N N N)
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (+.f64 1 N)))
(fma.f64 N N N)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 (cbrt.f64 (+.f64 1 N)) N))
(fma.f64 N N N)
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(fma.f64 N N N)
(*.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1))
(fma.f64 N N N)
(*.f64 (sqrt.f64 (+.f64 1 N)) (*.f64 (sqrt.f64 (+.f64 1 N)) N))
(fma.f64 N N N)
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 N)))
(fma.f64 N N N)
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 N (*.f64 N N))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3)))
(*.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))))
(fma.f64 N N N)
(*.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(fma.f64 N N N)
(*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))
(fma.f64 N N N)
(*.f64 (*.f64 N (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (+.f64 1 N)))
(fma.f64 N N N)
(*.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)))
(fma.f64 N N N)
(/.f64 1 (/.f64 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)) (+.f64 (pow.f64 N 6) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(/.f64 1 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3)))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) (+.f64 1 (pow.f64 (fma.f64 N N N) 3))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 N (fma.f64 N N -1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 N N N) 2) (fma.f64 N N N))))
(/.f64 1 (/.f64 (+.f64 N (fma.f64 N N -1)) (+.f64 (pow.f64 (fma.f64 N N N) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (+.f64 N (fma.f64 N N -1)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 N (fma.f64 N N -1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 N N N) 2) (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 N N N) 2) (fma.f64 N N N))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 N (fma.f64 N N -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (+.f64 N (fma.f64 N N -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (+.f64 N (fma.f64 N N -1)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 N (fma.f64 N N -1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 N N N) 2) (fma.f64 N N N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1)) (neg.f64 (+.f64 N (fma.f64 N N -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (+.f64 N (fma.f64 N N -1)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N 1) (fma.f64 N N 1)) (*.f64 N (fma.f64 N N 1)))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (+.f64 N (fma.f64 N N -1)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (fma.f64 N N 1) (fma.f64 N N 1))) (-.f64 N (fma.f64 N N 1)))
(/.f64 (+.f64 1 (fma.f64 N N N)) 1)
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (exp.f64 (fma.f64 N N 1))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (exp.f64 (+.f64 1 N))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (+.f64 1 (expm1.f64 (+.f64 1 N)))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (exp.f64 (+.f64 1 N))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (+.f64 1 (expm1.f64 (+.f64 1 N)))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (*.f64 (exp.f64 (+.f64 1 N)) (pow.f64 (exp.f64 N) N)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (*.f64 (exp.f64 (+.f64 1 N)) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 N))) (pow.f64 (exp.f64 N) N)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 N))) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (*.f64 (exp.f64 (fma.f64 N N 1)) (exp.f64 N)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (*.f64 (exp.f64 (fma.f64 N N 1)) (+.f64 1 (expm1.f64 N))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 N N N))))
(fma.f64 N N (+.f64 1 N))
(+.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))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 N (fma.f64 N N 1))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 N (*.f64 (fma.f64 N N 1) 1))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (*.f64 N N) (+.f64 1 N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (fma.f64 N N N) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (+.f64 1 N) (*.f64 N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (fma.f64 N N 1) N)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N 1 (fma.f64 N N 1))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N 1 (*.f64 (fma.f64 N N 1) 1))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 N N) 1 (+.f64 1 N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (fma.f64 N N N) 1 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (+.f64 1 N) 1 (*.f64 N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (+.f64 1 N) N 1)
(fma.f64 N N (+.f64 1 N))
(+.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)
(fma.f64 N N (+.f64 1 N))
(+.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)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) (+.f64 1 N))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) N) 1)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) (+.f64 1 N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (+.f64 1 N)) 1)
(fma.f64 N N (+.f64 1 N))
(+.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))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) N) 1)
(fma.f64 (cbrt.f64 (+.f64 1 N)) (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 N N))
(fma.f64 N N (+.f64 1 N))
(+.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))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 (cbrt.f64 (+.f64 1 N)) N) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (fma.f64 N N 1))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 (+.f64 1 N)) (sqrt.f64 (+.f64 1 N)) (*.f64 N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 (+.f64 1 N)) (*.f64 (sqrt.f64 (+.f64 1 N)) N) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N 1))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) (+.f64 1 N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 N)) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N 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 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))) 1)
(+.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))) 1)
(+.f64 1 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))))
(fma.f64 (-.f64 1 (*.f64 N N)) (/.f64 1 (-.f64 1 N)) (*.f64 N N))
(+.f64 (*.f64 N N) (/.f64 (-.f64 1 (*.f64 N N)) (-.f64 1 N)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 N (*.f64 N N))) 1)
(+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N))) 1)
(+.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N))))
(+.f64 1 (*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3))))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (fma.f64 N N 1))) (cbrt.f64 (fma.f64 N N 1)) N)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) (+.f64 1 N))
(fma.f64 N N (+.f64 1 N))
(+.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 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (fma.f64 N N 1) 1))
(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 (hypot.f64 1 N) (hypot.f64 1 N) N)
(fma.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (+.f64 1 N))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (+.f64 1 N)) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)) 1)
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))

eval120.0ms (2.8%)

Compiler

Compiled 6135 to 3869 computations (36.9% saved)

prune75.0ms (1.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New3819390
Fresh235
Picked325
Done000
Total38614400
Accurracy
99.2%
Counts
400 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
54.7%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 3)
54.1%
(atan2.f64 1 (pow.f64 (cbrt.f64 (*.f64 N N)) 3))
90.1%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)) 1))
90.1%
(atan2.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N)) 1))
90.1%
(atan2.f64 1 (+.f64 (*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3))) 1))
99.1%
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
48.5%
(atan2.f64 1 (+.f64 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N)) 1))
55.1%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
56.1%
(atan2.f64 1 (+.f64 N 1))
54.5%
(atan2.f64 1 (*.f64 N N))
55.2%
(atan2.f64 1 1)
83.7%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
39.8%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
55.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
54.7%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 3)
54.1%
(atan2.f64 1 (pow.f64 (cbrt.f64 (*.f64 N N)) 3))
90.1%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)) 1))
90.1%
(atan2.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N)) 1))
90.1%
(atan2.f64 1 (+.f64 (*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3))) 1))
99.1%
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
48.5%
(atan2.f64 1 (+.f64 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N)) 1))
55.1%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
56.1%
(atan2.f64 1 (+.f64 N 1))
54.5%
(atan2.f64 1 (*.f64 N N))
55.2%
(atan2.f64 1 1)
83.7%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
39.8%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
Compiler

Compiled 560 to 422 computations (24.6% saved)

localize308.0ms (7.1%)

Local Accuracy

Found 12 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 (+.f64 1 N) (sqrt.f64 N))
99.7%
(atan2.f64 1 (+.f64 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N)) 1))
99.7%
(*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))
100.0%
(/.f64 1 (-.f64 1 N))
99.1%
(atan2.f64 1 (+.f64 (*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3))) 1))
90.9%
(*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3)))
99.9%
(*.f64 (-.f64 1 (*.f64 N N)) N)
99.1%
(atan2.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N)) 1))
90.9%
(/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N))
99.1%
(atan2.f64 1 (*.f64 N N))
100.0%
(*.f64 (+.f64 1 N) N)
99.1%
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
Compiler

Compiled 209 to 133 computations (36.4% saved)

series9.0ms (0.2%)

Counts
12 → 132
Calls

36 calls:

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

rewrite102.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
610×add-sqr-sqrt
598×pow1
596×*-un-lft-identity
564×add-exp-log
564×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029198
1667176
Stop Event
node limit
Counts
12 → 392
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
(*.f64 (+.f64 1 N) N)
(atan2.f64 1 (*.f64 N N))
(/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N))
(atan2.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N)) 1))
(*.f64 (-.f64 1 (*.f64 N N)) N)
(*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3)))
(atan2.f64 1 (+.f64 (*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3))) 1))
(/.f64 1 (-.f64 1 N))
(*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))
(atan2.f64 1 (+.f64 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N)) 1))
(*.f64 (+.f64 1 N) (sqrt.f64 N))
Outputs
(-.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 (cbrt.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))) 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)))))
(*.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)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(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))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 N (*.f64 N N))
(+.f64 (*.f64 N N) N)
(+.f64 (*.f64 N N) (*.f64 N 1))
(+.f64 (*.f64 N 1) (*.f64 N N))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 N)) N) (*.f64 (/.f64 1 (-.f64 1 N)) (neg.f64 (pow.f64 N 3))))
(+.f64 (*.f64 N (/.f64 1 (-.f64 1 N))) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 1 (-.f64 1 N))))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(-.f64 (/.f64 1 (/.f64 (-.f64 1 N) N)) (/.f64 (*.f64 N N) (/.f64 (-.f64 1 N) N)))
(-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))
(/.f64 1 (/.f64 1 (fma.f64 N N N)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 N N N)) 1))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 N) N) (-.f64 1 (*.f64 N N))))
(/.f64 (-.f64 1 (*.f64 N N)) (/.f64 (-.f64 1 N) N))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 N (pow.f64 N 3))) (neg.f64 (-.f64 1 N)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (-.f64 1 N) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (*.f64 (-.f64 1 N) (+.f64 N (pow.f64 N 3))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (*.f64 (neg.f64 (-.f64 1 N)) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (*.f64 -1 (-.f64 (*.f64 N N) (pow.f64 N 6))) (*.f64 (neg.f64 (-.f64 1 N)) (+.f64 N (pow.f64 N 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) 1) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (-.f64 1 N)))
(/.f64 (*.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) -1) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (neg.f64 (-.f64 1 N))))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) 1) (*.f64 (+.f64 N (pow.f64 N 3)) (-.f64 1 N)))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) -1) (*.f64 (+.f64 N (pow.f64 N 3)) (neg.f64 (-.f64 1 N))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 N N))) (neg.f64 (/.f64 (-.f64 1 N) N)))
(/.f64 (neg.f64 (neg.f64 (-.f64 N (pow.f64 N 3)))) (neg.f64 (neg.f64 (-.f64 1 N))))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 N (-.f64 N 1)))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N N N)) 2)
(pow.f64 (/.f64 1 (fma.f64 N N N)) -1)
(neg.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (neg.f64 (-.f64 1 N))))
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(log.f64 (exp.f64 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (exp.f64 N)))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (log.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 1 (*.f64 N N) N)
(fma.f64 N N N)
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (cbrt.f64 (*.f64 N N)) N)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N)))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 N N))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
(+.f64 N (*.f64 N N))
(+.f64 (*.f64 N N) N)
(+.f64 (*.f64 N N) (*.f64 N 1))
(+.f64 (*.f64 N 1) (*.f64 N N))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 N)) N) (*.f64 (/.f64 1 (-.f64 1 N)) (neg.f64 (pow.f64 N 3))))
(+.f64 (*.f64 N (/.f64 1 (-.f64 1 N))) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 1 (-.f64 1 N))))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(-.f64 (/.f64 1 (/.f64 (-.f64 1 N) N)) (/.f64 (*.f64 N N) (/.f64 (-.f64 1 N) N)))
(-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))
(*.f64 1 (fma.f64 N N N))
(*.f64 N (+.f64 1 N))
(*.f64 N (*.f64 (+.f64 1 N) 1))
(*.f64 (+.f64 1 N) N)
(*.f64 (+.f64 1 N) (*.f64 N 1))
(*.f64 (-.f64 1 (*.f64 N N)) (/.f64 1 (/.f64 (-.f64 1 N) N)))
(*.f64 (-.f64 1 (*.f64 N N)) (*.f64 N (/.f64 1 (-.f64 1 N))))
(*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3)))
(*.f64 (/.f64 1 (-.f64 1 N)) (*.f64 (-.f64 N (pow.f64 N 3)) 1))
(*.f64 (-.f64 N (pow.f64 N 3)) (/.f64 1 (-.f64 1 N)))
(*.f64 (-.f64 N (pow.f64 N 3)) (*.f64 (/.f64 1 (-.f64 1 N)) 1))
(*.f64 (sqrt.f64 N) (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))
(*.f64 (sqrt.f64 N) (*.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 1))
(*.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) (sqrt.f64 N))
(*.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) (*.f64 (sqrt.f64 N) 1))
(*.f64 (fma.f64 N N N) 1)
(*.f64 (cbrt.f64 (*.f64 N (pow.f64 (+.f64 1 N) 2))) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) (sqrt.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 N) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 N))) (-.f64 N (pow.f64 N 3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 (cbrt.f64 (+.f64 1 N)) N))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 2)) (*.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) (/.f64 1 (-.f64 1 N))))
(*.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 (sqrt.f64 N)) (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(*.f64 (cbrt.f64 (*.f64 N N)) (*.f64 (cbrt.f64 N) (+.f64 1 N)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) (sqrt.f64 N)))
(*.f64 (pow.f64 (-.f64 1 N) -1/2) (/.f64 (-.f64 N (pow.f64 N 3)) (sqrt.f64 (-.f64 1 N))))
(*.f64 (pow.f64 (-.f64 1 N) -1/2) (*.f64 (pow.f64 (-.f64 1 N) -1/2) (-.f64 N (pow.f64 N 3))))
(*.f64 (sqrt.f64 (+.f64 1 N)) (*.f64 (sqrt.f64 (+.f64 1 N)) N))
(*.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (fma.f64 N N N)) (*.f64 (sqrt.f64 (fma.f64 N N N)) 1))
(*.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (*.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (/.f64 1 (-.f64 1 N))))
(*.f64 (pow.f64 N 1/4) (*.f64 (pow.f64 N 1/4) (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(*.f64 (neg.f64 (-.f64 N (pow.f64 N 3))) (/.f64 1 (neg.f64 (-.f64 1 N))))
(*.f64 (*.f64 N 1) (+.f64 1 N))
(*.f64 (/.f64 N 1) (+.f64 1 N))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)) (/.f64 (-.f64 N (pow.f64 N 3)) (cbrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 N (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)) (/.f64 (-.f64 1 (*.f64 N N)) (cbrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 N (sqrt.f64 (-.f64 1 N))) (/.f64 (-.f64 1 (*.f64 N N)) (sqrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 (-.f64 1 (*.f64 N N)) (sqrt.f64 (-.f64 1 N))) (/.f64 N (sqrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 (-.f64 1 (*.f64 N N)) 1) (/.f64 N (-.f64 1 N)))
(*.f64 (/.f64 (-.f64 1 (*.f64 N N)) (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)) (/.f64 N (cbrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) (-.f64 1 N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 2)) (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 2)) (sqrt.f64 (-.f64 1 N))) (/.f64 (cbrt.f64 (-.f64 N (pow.f64 N 3))) (sqrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) 1) (/.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (-.f64 1 N)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)) (/.f64 (sqrt.f64 (-.f64 N (pow.f64 N 3))) (cbrt.f64 (-.f64 1 N))))
(*.f64 (*.f64 (sqrt.f64 N) 1) (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))
(*.f64 (*.f64 (+.f64 1 N) 1) N)
(*.f64 (*.f64 (-.f64 N (pow.f64 N 3)) 1) (/.f64 1 (-.f64 1 N)))
(*.f64 (*.f64 (-.f64 N (pow.f64 N 3)) (cbrt.f64 (pow.f64 (-.f64 1 N) -2))) (/.f64 1 (cbrt.f64 (-.f64 1 N))))
(*.f64 (*.f64 (-.f64 N (pow.f64 N 3)) (pow.f64 (-.f64 1 N) -1/2)) (pow.f64 (-.f64 1 N) -1/2))
(*.f64 (*.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 1) (sqrt.f64 N))
(*.f64 (*.f64 N (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (+.f64 1 N)))
(*.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)))
(*.f64 (*.f64 (+.f64 1 N) (cbrt.f64 (*.f64 N N))) (cbrt.f64 N))
(*.f64 (*.f64 (sqrt.f64 N) (cbrt.f64 (*.f64 N (pow.f64 (+.f64 1 N) 2)))) (cbrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(*.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))) (sqrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N)))
(*.f64 (*.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) (pow.f64 N 1/4)) (pow.f64 N 1/4))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 N)) 1) (-.f64 N (pow.f64 N 3)))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 N)) (cbrt.f64 (pow.f64 (-.f64 N (pow.f64 N 3)) 2))) (cbrt.f64 (-.f64 N (pow.f64 N 3))))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 N)) (sqrt.f64 (-.f64 N (pow.f64 N 3)))) (sqrt.f64 (-.f64 N (pow.f64 N 3))))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N N N)) 2)
(pow.f64 (/.f64 1 (fma.f64 N N N)) -1)
(neg.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (neg.f64 (-.f64 1 N))))
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(log.f64 (exp.f64 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (exp.f64 N)))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (log.f64 (fma.f64 N N N)))
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(pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) 2)
(sqrt.f64 (*.f64 N (pow.f64 (+.f64 1 N) 2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 N)) (sqrt.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3/2)))
(cbrt.f64 (*.f64 (pow.f64 N 3/2) (pow.f64 (+.f64 1 N) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(exp.f64 (+.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))

simplify187.0ms (4.3%)

Algorithm
egg-herbie
Rules
944×div-sub
906×fma-neg
822×associate-*r*
734×associate-*l*
598×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054211808
1134011398
2579311376
Stop Event
node limit
Counts
524 → 306
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(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 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.f64 -1 N)))))
N
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(*.f64 -1 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(*.f64 -1 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (+.f64 (pow.f64 N 2) (pow.f64 N 3))))
(/.f64 -1 N)
(neg.f64 (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (pow.f64 N 4)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))))
(/.f64 -1 N)
(neg.f64 (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 1 (pow.f64 N 4)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(*.f64 -1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 -1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 -1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 -1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(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 1 (*.f64 -1 (*.f64 N (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (*.f64 -1 N)))))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (*.f64 N (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (*.f64 -1 N)))))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (*.f64 N (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (*.f64 -1 N)))))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (*.f64 N (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (*.f64 -1 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 (cbrt.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))) 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)))))
(*.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)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(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))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 N (*.f64 N N))
(+.f64 (*.f64 N N) N)
(+.f64 (*.f64 N N) (*.f64 N 1))
(+.f64 (*.f64 N 1) (*.f64 N N))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 N)) N) (*.f64 (/.f64 1 (-.f64 1 N)) (neg.f64 (pow.f64 N 3))))
(+.f64 (*.f64 N (/.f64 1 (-.f64 1 N))) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 1 (-.f64 1 N))))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(-.f64 (/.f64 1 (/.f64 (-.f64 1 N) N)) (/.f64 (*.f64 N N) (/.f64 (-.f64 1 N) N)))
(-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))
(/.f64 1 (/.f64 1 (fma.f64 N N N)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 N N N)) 1))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 N) N) (-.f64 1 (*.f64 N N))))
(/.f64 (-.f64 1 (*.f64 N N)) (/.f64 (-.f64 1 N) N))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 N (pow.f64 N 3))) (neg.f64 (-.f64 1 N)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (-.f64 1 N) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (*.f64 (-.f64 1 N) (+.f64 N (pow.f64 N 3))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (*.f64 (neg.f64 (-.f64 1 N)) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (*.f64 -1 (-.f64 (*.f64 N N) (pow.f64 N 6))) (*.f64 (neg.f64 (-.f64 1 N)) (+.f64 N (pow.f64 N 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) 1) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (-.f64 1 N)))
(/.f64 (*.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) -1) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (neg.f64 (-.f64 1 N))))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) 1) (*.f64 (+.f64 N (pow.f64 N 3)) (-.f64 1 N)))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) -1) (*.f64 (+.f64 N (pow.f64 N 3)) (neg.f64 (-.f64 1 N))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 N N))) (neg.f64 (/.f64 (-.f64 1 N) N)))
(/.f64 (neg.f64 (neg.f64 (-.f64 N (pow.f64 N 3)))) (neg.f64 (neg.f64 (-.f64 1 N))))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 N (-.f64 N 1)))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N N N)) 2)
(pow.f64 (/.f64 1 (fma.f64 N N N)) -1)
(neg.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (neg.f64 (-.f64 1 N))))
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(log.f64 (exp.f64 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (exp.f64 N)))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (log.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 1 (*.f64 N N) N)
(fma.f64 N N N)
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (cbrt.f64 (*.f64 N N)) N)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N)))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 N N))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
(+.f64 N (*.f64 N N))
(+.f64 (*.f64 N N) N)
(+.f64 (*.f64 N N) (*.f64 N 1))
(+.f64 (*.f64 N 1) (*.f64 N N))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 N)) N) (*.f64 (/.f64 1 (-.f64 1 N)) (neg.f64 (pow.f64 N 3))))
(+.f64 (*.f64 N (/.f64 1 (-.f64 1 N))) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 1 (-.f64 1 N))))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(-.f64 (/.f64 1 (/.f64 (-.f64 1 N) N)) (/.f64 (*.f64 N N) (/.f64 (-.f64 1 N) N)))
(-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))
(*.f64 1 (fma.f64 N N N))
(*.f64 N (+.f64 1 N))
(*.f64 N (*.f64 (+.f64 1 N) 1))
(*.f64 (+.f64 1 N) N)
(*.f64 (+.f64 1 N) (*.f64 N 1))
(*.f64 (-.f64 1 (*.f64 N N)) (/.f64 1 (/.f64 (-.f64 1 N) N)))
(*.f64 (-.f64 1 (*.f64 N N)) (*.f64 N (/.f64 1 (-.f64 1 N))))
(*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3)))
(*.f64 (/.f64 1 (-.f64 1 N)) (*.f64 (-.f64 N (pow.f64 N 3)) 1))
(*.f64 (-.f64 N (pow.f64 N 3)) (/.f64 1 (-.f64 1 N)))
(*.f64 (-.f64 N (pow.f64 N 3)) (*.f64 (/.f64 1 (-.f64 1 N)) 1))
(*.f64 (sqrt.f64 N) (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))
(*.f64 (sqrt.f64 N) (*.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 1))
(*.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) (sqrt.f64 N))
(*.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) (*.f64 (sqrt.f64 N) 1))
(*.f64 (fma.f64 N N N) 1)
(*.f64 (cbrt.f64 (*.f64 N (pow.f64 (+.f64 1 N) 2))) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) (sqrt.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 N) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 N))) (-.f64 N (pow.f64 N 3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 (cbrt.f64 (+.f64 1 N)) N))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)))
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(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 N))))
(+.f64 N (*.f64 N N))
(+.f64 (*.f64 N N) N)
(+.f64 (*.f64 N N) (*.f64 N 1))
(+.f64 (*.f64 N 1) (*.f64 N N))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 N)) N) (*.f64 (/.f64 1 (-.f64 1 N)) (neg.f64 (pow.f64 N 3))))
(+.f64 (*.f64 N (/.f64 1 (-.f64 1 N))) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 1 (-.f64 1 N))))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(-.f64 (/.f64 1 (/.f64 (-.f64 1 N) N)) (/.f64 (*.f64 N N) (/.f64 (-.f64 1 N) N)))
(-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))
(/.f64 1 (/.f64 1 (fma.f64 N N N)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 N N N)) 1))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 N) N) (-.f64 1 (*.f64 N N))))
(/.f64 (-.f64 1 (*.f64 N N)) (/.f64 (-.f64 1 N) N))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 N (pow.f64 N 3))) (neg.f64 (-.f64 1 N)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (-.f64 1 N) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (*.f64 (-.f64 1 N) (+.f64 N (pow.f64 N 3))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (*.f64 (neg.f64 (-.f64 1 N)) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (*.f64 -1 (-.f64 (*.f64 N N) (pow.f64 N 6))) (*.f64 (neg.f64 (-.f64 1 N)) (+.f64 N (pow.f64 N 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) 1) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (-.f64 1 N)))
(/.f64 (*.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) -1) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (neg.f64 (-.f64 1 N))))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) 1) (*.f64 (+.f64 N (pow.f64 N 3)) (-.f64 1 N)))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) -1) (*.f64 (+.f64 N (pow.f64 N 3)) (neg.f64 (-.f64 1 N))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 N N))) (neg.f64 (/.f64 (-.f64 1 N) N)))
(/.f64 (neg.f64 (neg.f64 (-.f64 N (pow.f64 N 3)))) (neg.f64 (neg.f64 (-.f64 1 N))))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 N (-.f64 N 1)))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N N N)) 2)
(pow.f64 (/.f64 1 (fma.f64 N N N)) -1)
(neg.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (neg.f64 (-.f64 1 N))))
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(log.f64 (exp.f64 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (exp.f64 N)))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (log.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 1 (*.f64 N N) N)
(fma.f64 N N N)
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (cbrt.f64 (*.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 (cbrt.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))) 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)))))
(*.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)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(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))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(+.f64 (pow.f64 N 3/2) (sqrt.f64 N))
(+.f64 (pow.f64 N 3/2) (*.f64 (sqrt.f64 N) 1))
(+.f64 (*.f64 (sqrt.f64 N) 1) (pow.f64 N 3/2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))) 1)
(pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) 2)
(sqrt.f64 (*.f64 N (pow.f64 (+.f64 1 N) 2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 N)) (sqrt.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3/2)))
(cbrt.f64 (*.f64 (pow.f64 N 3/2) (pow.f64 (+.f64 1 N) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(exp.f64 (+.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
Outputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 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 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
N
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(*.f64 -1 (pow.f64 N 3))
(neg.f64 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(*.f64 -1 (pow.f64 N 3))
(neg.f64 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 N) (pow.f64 N 3)) (+.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (+.f64 (pow.f64 N 2) (pow.f64 N 3))))
(+.f64 (+.f64 1 N) (+.f64 (pow.f64 N 3) (*.f64 N N)))
(+.f64 (*.f64 N (fma.f64 N N N)) (+.f64 1 N))
(/.f64 -1 N)
(neg.f64 (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2))))
(neg.f64 (+.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
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(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 -1 N) (/.f64 -1 (*.f64 N N))) (/.f64 -1 (pow.f64 N 3)))
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(neg.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))) (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 -1 (pow.f64 N 3)) (+.f64 (/.f64 1 (*.f64 N N)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 4)))))
(/.f64 -1 N)
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(neg.f64 (+.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
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(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1 (*.f64 N N))))
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(-.f64 (/.f64 -1 (pow.f64 N 3)) (+.f64 (/.f64 1 (*.f64 N N)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 4)))))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
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(fma.f64 N N N)
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(fma.f64 N N N)
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(fma.f64 N N N)
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(fma.f64 N N N)
(*.f64 -1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 N N)
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(fma.f64 N N N)
(+.f64 (*.f64 -1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 N N N)
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(fma.f64 N N N)
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(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
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(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
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(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
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(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(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)
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 (*.f64 N N) N)
(fma.f64 N N N)
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(fma.f64 N N N)
(+.f64 (*.f64 N 1) (*.f64 N N))
(fma.f64 N N N)
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(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
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(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(+.f64 1 (-.f64 (fma.f64 N N N) 1))
(+.f64 (fma.f64 N N N) 0)
(-.f64 (/.f64 1 (/.f64 (-.f64 1 N) N)) (/.f64 (*.f64 N N) (/.f64 (-.f64 1 N) N)))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(/.f64 1 (/.f64 1 (fma.f64 N N N)))
(fma.f64 N N N)
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 N N N)) 1))
(fma.f64 N N N)
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(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
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(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 N)))) 1)
(/.f64 1 (-.f64 1 N))
(*.f64 1 (/.f64 1 (-.f64 1 N)))
(/.f64 1 (-.f64 1 N))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 N))) (cbrt.f64 (pow.f64 (-.f64 1 N) -2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 N) -2)) 1) (cbrt.f64 (-.f64 1 N)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 N) -2)) (cbrt.f64 (-.f64 1 N)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 N) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 N))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 N) -2)) 1) (cbrt.f64 (-.f64 1 N)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 N) -2)) (cbrt.f64 (-.f64 1 N)))
(*.f64 (pow.f64 (-.f64 1 N) -1/2) (pow.f64 (-.f64 1 N) -1/2))
(/.f64 1 (-.f64 1 N))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 N))))
(/.f64 1 (-.f64 1 N))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 N)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 N))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 N)) -1) (pow.f64 (sqrt.f64 (-.f64 1 N)) -1))
(pow.f64 (sqrt.f64 (-.f64 1 N)) -2)
(pow.f64 (-.f64 1 N) -1)
(/.f64 1 (-.f64 1 N))
(pow.f64 (/.f64 1 (-.f64 1 N)) 1)
(/.f64 1 (-.f64 1 N))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 N))) 3)
(/.f64 1 (-.f64 1 N))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 N)) 3) 1/3)
(/.f64 1 (-.f64 1 N))
(pow.f64 (pow.f64 (-.f64 1 N) -1/2) 2)
(/.f64 1 (-.f64 1 N))
(sqrt.f64 (pow.f64 (-.f64 1 N) -2))
(/.f64 1 (-.f64 1 N))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 N))))
(/.f64 1 (-.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 N)))))
(/.f64 1 (-.f64 1 N))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 N)) 3))
(/.f64 1 (-.f64 1 N))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 N))))
(/.f64 1 (-.f64 1 N))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 N))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 N)) -1))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 N))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 N))) 1))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 N))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 N))))
(/.f64 1 (-.f64 1 N))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 (*.f64 N N) N)
(fma.f64 N N N)
(+.f64 (*.f64 N N) (*.f64 N 1))
(fma.f64 N N N)
(+.f64 (*.f64 N 1) (*.f64 N N))
(fma.f64 N N N)
(+.f64 (*.f64 (/.f64 1 (-.f64 1 N)) N) (*.f64 (/.f64 1 (-.f64 1 N)) (neg.f64 (pow.f64 N 3))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(+.f64 (*.f64 N (/.f64 1 (-.f64 1 N))) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 1 (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(+.f64 1 (-.f64 (fma.f64 N N N) 1))
(+.f64 (fma.f64 N N N) 0)
(-.f64 (/.f64 1 (/.f64 (-.f64 1 N) N)) (/.f64 (*.f64 N N) (/.f64 (-.f64 1 N) N)))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(/.f64 1 (/.f64 1 (fma.f64 N N N)))
(fma.f64 N N N)
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 N N N)) 1))
(fma.f64 N N N)
(/.f64 1 (/.f64 (/.f64 (-.f64 1 N) N) (-.f64 1 (*.f64 N N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(/.f64 (-.f64 1 (*.f64 N N)) (/.f64 (-.f64 1 N) N))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 N N N))))
(fma.f64 N N N)
(/.f64 (neg.f64 (-.f64 N (pow.f64 N 3))) (neg.f64 (-.f64 1 N)))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (-.f64 1 N) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (-.f64 1 N) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 6)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (-.f64 1 N) (+.f64 (fma.f64 N N (pow.f64 N 6)) (pow.f64 N 4))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (*.f64 (-.f64 1 N) (+.f64 N (pow.f64 N 3))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 N 3) (pow.f64 N 9))) (*.f64 (neg.f64 (-.f64 1 N)) (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (-.f64 1 N) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 6)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (-.f64 1 N) (+.f64 (fma.f64 N N (pow.f64 N 6)) (pow.f64 N 4))))
(/.f64 (*.f64 -1 (-.f64 (*.f64 N N) (pow.f64 N 6))) (*.f64 (neg.f64 (-.f64 1 N)) (+.f64 N (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (*.f64 (-.f64 1 N) (+.f64 N (pow.f64 N 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) 1) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (-.f64 1 N)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (-.f64 1 N) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 6)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (-.f64 1 N) (+.f64 (fma.f64 N N (pow.f64 N 6)) (pow.f64 N 4))))
(/.f64 (*.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) -1) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 6) (pow.f64 N 4))) (neg.f64 (-.f64 1 N))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (-.f64 1 N) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 6)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 9)) (*.f64 (-.f64 1 N) (+.f64 (fma.f64 N N (pow.f64 N 6)) (pow.f64 N 4))))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) 1) (*.f64 (+.f64 N (pow.f64 N 3)) (-.f64 1 N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (*.f64 (-.f64 1 N) (+.f64 N (pow.f64 N 3))))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) -1) (*.f64 (+.f64 N (pow.f64 N 3)) (neg.f64 (-.f64 1 N))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 6)) (*.f64 (-.f64 1 N) (+.f64 N (pow.f64 N 3))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 N N))) (neg.f64 (/.f64 (-.f64 1 N) N)))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(/.f64 (neg.f64 (neg.f64 (-.f64 N (pow.f64 N 3)))) (neg.f64 (neg.f64 (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 N (-.f64 N 1)))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 N (+.f64 N -1)))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))))
(pow.f64 (fma.f64 N N N) 1)
(fma.f64 N N N)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(fma.f64 N N N)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(fma.f64 N N N)
(pow.f64 (sqrt.f64 (fma.f64 N N N)) 2)
(fma.f64 N N N)
(pow.f64 (/.f64 1 (fma.f64 N N N)) -1)
(fma.f64 N N N)
(neg.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (neg.f64 (-.f64 1 N))))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1))
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(fma.f64 N N N)
(log.f64 (exp.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(fma.f64 N N N)
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (exp.f64 N)))
(fma.f64 N N N)
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(fma.f64 N N N)
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(exp.f64 (log.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(fma.f64 N N N)
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(fma.f64 1 (*.f64 N N) N)
(fma.f64 N N N)
(fma.f64 N N N)
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (cbrt.f64 (*.f64 N N)) N)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.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))) 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)))))
(*.f64 (cbrt.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))) 2)))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(+.f64 (pow.f64 N 3/2) (sqrt.f64 N))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(+.f64 (pow.f64 N 3/2) (*.f64 (sqrt.f64 N) 1))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(+.f64 (*.f64 (sqrt.f64 N) 1) (pow.f64 N 3/2))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))) 1)
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 1)
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) 3)
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 3) 1/3)
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) 2)
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(sqrt.f64 (*.f64 N (pow.f64 (+.f64 1 N) 2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 N)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 N) (log.f64 (exp.f64 (+.f64 1 N))))
(*.f64 (+.f64 1 N) (sqrt.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) 3))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3/2)))
(cbrt.f64 (*.f64 (pow.f64 N 3/2) (pow.f64 (+.f64 1 N) 3)))
(cbrt.f64 (*.f64 (pow.f64 N 3/2) (pow.f64 (+.f64 1 N) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))
(exp.f64 (+.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(*.f64 (sqrt.f64 N) (exp.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) 1))
(exp.f64 (+.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(*.f64 (sqrt.f64 N) (exp.f64 (log1p.f64 N)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(+.f64 (sqrt.f64 N) (pow.f64 N 3/2))

eval113.0ms (2.6%)

Compiler

Compiled 5272 to 3815 computations (27.6% saved)

prune67.0ms (1.5%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New3006306
Fresh437
Picked235
Done022
Total30614320
Accurracy
99.2%
Counts
320 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
54.1%
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
54.1%
(atan2.f64 1 (pow.f64 (cbrt.f64 (*.f64 N N)) 3))
90.1%
(atan2.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N)) 1))
89.3%
(atan2.f64 1 (+.f64 (/.f64 (neg.f64 (pow.f64 N 3)) (-.f64 1 N)) 1))
48.5%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 (sqrt.f64 N) (pow.f64 N 3/2))) 1))
99.0%
(atan2.f64 1 (+.f64 (*.f64 (-.f64 1 (*.f64 N N)) (*.f64 N (/.f64 1 (-.f64 1 N)))) 1))
99.1%
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
55.1%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
56.1%
(atan2.f64 1 (+.f64 N 1))
54.5%
(atan2.f64 1 (*.f64 N N))
55.2%
(atan2.f64 1 1)
83.7%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
39.2%
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
Compiler

Compiled 402 to 292 computations (27.4% saved)

regimes24.0ms (0.6%)

Counts
27 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (+.f64 N (*.f64 N N)))
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
(atan2.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N)) 1))
(atan2.f64 1 (+.f64 (*.f64 (-.f64 1 (*.f64 N N)) (*.f64 N (/.f64 1 (-.f64 1 N)))) 1))
(atan2.f64 1 (fma.f64 N N N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 (/.f64 (neg.f64 (pow.f64 N 3)) (-.f64 1 N)) 1))
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 3) N) (+.f64 N -1)) 1))
(atan2.f64 1 (+.f64 (*.f64 (/.f64 1 (-.f64 1 N)) (-.f64 N (pow.f64 N 3))) 1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (*.f64 N N)) 3))
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 (sqrt.f64 N) (pow.f64 N 3/2))) 1))
(atan2.f64 1 (+.f64 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N)) 1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
Outputs
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
Calls

2 calls:

13.0ms
N
3.0ms
(-.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 270 to 188 computations (30.4% saved)

regimes14.0ms (0.3%)

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

1 calls:

13.0ms
N
Results
AccuracySegmentsBranch
98.6%3N
Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes12.0ms (0.3%)

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

1 calls:

11.0ms
N
Results
AccuracySegmentsBranch
98.0%3N
Compiler

Compiled 16 to 12 computations (25% saved)

regimes10.0ms (0.2%)

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

1 calls:

9.0ms
N
Results
AccuracySegmentsBranch
97.7%3N
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
55.2%1N
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch47.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
0.03063048651310259
47530780.14360216
24.0ms
-67861.8875756304
-4.830127985726977e-6
Results
43.0ms304×body256valid
Compiler

Compiled 316 to 237 computations (25% saved)

bsearch50.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
0.03063048651310259
47530780.14360216
29.0ms
-67861.8875756304
-4.830127985726977e-6
Results
46.0ms304×body256valid
Compiler

Compiled 278 to 218 computations (21.6% saved)

bsearch46.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
0.03063048651310259
47530780.14360216
24.0ms
-67861.8875756304
-4.830127985726977e-6
Results
41.0ms304×body256valid
Compiler

Compiled 240 to 199 computations (17.1% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
031185
147185
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 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 (+.f64 (*.f64 (+.f64 1 N) N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 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 74 to 57 computations (23% saved)

soundness601.0ms (13.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119432
2265632
03395661
17895017
227274993
0836
116136
2198136
018100
1388100
24658100
0911211
12031083
28051079
333661079
0911211
12031083
28051079
333661079
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 227 to 161 computations (29.1% saved)

end130.0ms (3%)

Compiler

Compiled 178 to 132 computations (25.8% saved)

Profiling

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