2atan (example 3.5)

Details

Time bar (total: 4.7s)

analyze0.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample1.5s (31.3%)

Results
698.0ms2193×body2048valid
507.0ms4500×body256valid
195.0ms1053×body1024valid
66.0ms510×body512valid
Bogosity

preprocess21.0ms (0.4%)

Algorithm
2×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
1×saturated
1×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)

simplify19.0ms (0.4%)

Algorithm
1×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
1×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
77.7%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶77.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 16 to 12 computations (25% saved)

localize61.0ms (1.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(atan.f64 (+.f64 N 1))
✓77.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite83.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119432
2265632
Stop Event
1×node limit
Counts
2 → 151
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan.f64 (+.f64 N 1))
Outputs
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 1))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) 2) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (neg.f64 (atan.f64 N)) 2)) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))

simplify84.0ms (1.8%)

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

Useful iterations: 2 (0.0ms)

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

eval76.0ms (1.6%)

Compiler

Compiled 3489 to 2304 computations (34% saved)

prune34.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1901191
Fresh000
Picked011
Done000
Total1902192
Accurracy
99.0%
Counts
192 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓77.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶99.0%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓77.7%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize35.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(fma.f64 N (+.f64 1 N) 1)
✓99.0%
(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
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
0.0ms
N
@0
(fma.f64 N (+.f64 1 N) 1)
0.0ms
N
@-inf
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))

rewrite63.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify95.0ms (2%)

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

Useful iterations: 2 (0.0ms)

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

eval16.0ms (0.3%)

Compiler

Compiled 684 to 468 computations (31.6% saved)

prune18.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New50858
Fresh000
Picked101
Done101
Total52860
Accurracy
99.0%
Counts
60 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(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)
▶58.3%
(atan2.f64 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)))))
▶99.0%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
57.2%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
▶52.7%
(atan2.f64 1 (+.f64 N 1))
56.4%
(atan2.f64 1 (*.f64 N N))
▶51.4%
(atan2.f64 1 1)
▶98.0%
(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)
▶58.3%
(atan2.f64 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)))))
▶99.0%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
57.2%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
▶52.7%
(atan2.f64 1 (+.f64 N 1))
56.4%
(atan2.f64 1 (*.f64 N N))
▶51.4%
(atan2.f64 1 1)
Compiler

Compiled 368 to 244 computations (33.7% saved)

localize169.0ms (3.6%)

Local Accuracy

Found 11 expressions with local accuracy:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 1 N) 1)
✓99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
99.0%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓76.7%
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
✓99.9%
(*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N)))
✓99.0%
(atan2.f64 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)))))
✓79.4%
(+.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) (-.f64 1 (*.f64 (+.f64 N (*.f64 N N)) 1)))
✓64.4%
(/.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))))
✓100.0%
(atan2.f64 1 (+.f64 N 1))
✓100.0%
(+.f64 N (*.f64 N N))
✓99.0%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
Compiler

Compiled 221 to 94 computations (57.5% saved)

series6.0ms (0.1%)

Counts
9 → 100
Calls

27 calls:

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

rewrite158.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
750×expm1-udef
532×add-sqr-sqrt
522×pow1
518×*-un-lft-identity
498×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027207
1628175
27586175
Stop Event
1×node limit
Counts
9 → 287
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
(+.f64 N (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(/.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 N (*.f64 N N)) (+.f64 N (*.f64 N N))) (-.f64 1 (*.f64 (+.f64 N (*.f64 N N)) 1)))
(atan2.f64 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 N (*.f64 N N)) (+.f64 N (*.f64 N N)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (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 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (*.f64 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 (pow.f64 (+.f64 1 N) 2)) (*.f64 (cbrt.f64 (+.f64 1 N)) N))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (+.f64 1 N)))
(*.f64 (sqrt.f64 (+.f64 1 N)) (*.f64 (sqrt.f64 (+.f64 1 N)) N))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 N)))
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (fma.f64 N N (-.f64 (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 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2))))
(*.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))))
(*.f64 (*.f64 N (cbrt.f64 (pow.f64 (+.f64 1 N) 2))) (cbrt.f64 (+.f64 1 N)))
(*.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)))
(*.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 1 (/.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 3) (pow.f64 N 6))))
(/.f64 1 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6))) (neg.f64 (fma.f64 N N (-.f64 (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)) (fma.f64 N N (neg.f64 N)))
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 N -1))
(/.f64 (*.f64 N (-.f64 1 (*.f64 N N))) (-.f64 1 N))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) 1) (fma.f64 N N (-.f64 (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 (fma.f64 N N -1) N) (+.f64 N -1))
(/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 N N N) 2) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(fabs.f64 (fma.f64 N N N))
(log.f64 (exp.f64 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 N) 3)))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (log.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(exp.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 1 N (*.f64 N N))
(fma.f64 1 (*.f64 N N) N)
(fma.f64 N N N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 N)))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 N)))
(*.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) (sqrt.f64 (atan2.f64 1 (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 N))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 N))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (*.f64 (fma.f64 N N 1) 1))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 (fma.f64 N N N) 1)
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 (fma.f64 N N 1) N)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 N N N)))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) 2) (+.f64 N (fma.f64 N N -1))) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(*.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (+.f64 1 (fma.f64 N N N)) 1)
(*.f64 (+.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 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) 2) (*.f64 (cbrt.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 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (hypot.f64 1 (pow.f64 (fma.f64 N N N) 3/2)) (*.f64 (hypot.f64 1 (pow.f64 (fma.f64 N N N) 3/2)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))))
(*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(*.f64 (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 N N N) 3))) (/.f64 1 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))))
(*.f64 (/.f64 1 (+.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 (pow.f64 (fma.f64 N N N) 2) -1) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) 2)) (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))))
(*.f64 (/.f64 1 (hypot.f64 (fma.f64 N N N) (sqrt.f64 (-.f64 1 (fma.f64 N N N))))) (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (hypot.f64 (fma.f64 N N N) (sqrt.f64 (-.f64 1 (fma.f64 N N N))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) 2)) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) 2) (hypot.f64 (fma.f64 N N N) (sqrt.f64 (-.f64 1 (fma.f64 N N N))))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (hypot.f64 (fma.f64 N N N) (sqrt.f64 (-.f64 1 (fma.f64 N N N))))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 N N N) 3/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 N N N) 3/2)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 N N N) 3/2)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) 2)) (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 N N N) 3/2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 6) (pow.f64 (-.f64 1 (fma.f64 N N N)) 3))) (+.f64 (pow.f64 (fma.f64 N N N) 4) (*.f64 (-.f64 1 (fma.f64 N N N)) (-.f64 (-.f64 1 (fma.f64 N N N)) (pow.f64 (fma.f64 N N N) 2)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (-.f64 (pow.f64 (fma.f64 N N N) 4) (pow.f64 (-.f64 1 (fma.f64 N N N)) 2))) (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (fma.f64 N N N)))
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/3)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(pow.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) -1)
(neg.f64 (/.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))))))
(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)))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) 3) (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 N N N))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(fma.f64 1 N (fma.f64 N N 1))
(fma.f64 1 (fma.f64 N N N) 1)
(fma.f64 N (+.f64 1 N) 1)
(fma.f64 (fma.f64 N N N) 1 1)
(fma.f64 (+.f64 1 N) N 1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (fma.f64 N N N)) 1)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N 1))
(-.f64 1 (-.f64 (fma.f64 N N N) (pow.f64 (fma.f64 N N N) 2)))
(-.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 2)) (fma.f64 N N N))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) 4) (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (fma.f64 N N N))) (/.f64 (pow.f64 (-.f64 1 (fma.f64 N N N)) 2) (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (fma.f64 N N N))))
(-.f64 (-.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 2)) N) (*.f64 N N))
(-.f64 (-.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 2)) (*.f64 N N)) N)
(*.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) (-.f64 1 (fma.f64 N N N))) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(*.f64 (hypot.f64 (fma.f64 N N N) (sqrt.f64 (-.f64 1 (fma.f64 N N N)))) (hypot.f64 (fma.f64 N N N) (sqrt.f64 (-.f64 1 (fma.f64 N N N)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) 6) (pow.f64 (-.f64 1 (fma.f64 N N N)) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 4) (*.f64 (-.f64 1 (fma.f64 N N N)) (-.f64 (-.f64 1 (fma.f64 N N N)) (pow.f64 (fma.f64 N N N) 2))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 N N N) 4) (pow.f64 (-.f64 1 (fma.f64 N N N)) 2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (fma.f64 N N N))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 4) (*.f64 (-.f64 1 (fma.f64 N N N)) (-.f64 (-.f64 1 (fma.f64 N N N)) (pow.f64 (fma.f64 N N N) 2)))) (+.f64 (pow.f64 (fma.f64 N N N) 6) (pow.f64 (-.f64 1 (fma.f64 N N N)) 3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (fma.f64 N N N)) (-.f64 (pow.f64 (fma.f64 N N N) 4) (pow.f64 (-.f64 1 (fma.f64 N N N)) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 6) (pow.f64 (-.f64 1 (fma.f64 N N N)) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 4) (*.f64 (-.f64 1 (fma.f64 N N N)) (-.f64 (-.f64 1 (fma.f64 N N N)) (pow.f64 (fma.f64 N N N) 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 6) (pow.f64 (-.f64 1 (fma.f64 N N N)) 3)) (+.f64 (pow.f64 (-.f64 1 (fma.f64 N N N)) 2) (-.f64 (pow.f64 (fma.f64 N N N) 4) (*.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) 4) (pow.f64 (-.f64 1 (fma.f64 N N N)) 2)) (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (fma.f64 N N N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) 6) (pow.f64 (-.f64 1 (fma.f64 N N N)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) 4) (*.f64 (-.f64 1 (fma.f64 N N N)) (-.f64 (-.f64 1 (fma.f64 N N N)) (pow.f64 (fma.f64 N N N) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) 4) (pow.f64 (-.f64 1 (fma.f64 N N N)) 2))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (fma.f64 N N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 2)) 3) (pow.f64 (fma.f64 N N N) 3)) (+.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 2)) (+.f64 1 (pow.f64 (fma.f64 N N N) 2))) (+.f64 (pow.f64 (fma.f64 N N N) 2) (*.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 2)) (fma.f64 N N N)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (fma.f64 N N N)) 2) (pow.f64 (fma.f64 N N N) 4)) (-.f64 (-.f64 1 (fma.f64 N N N)) (pow.f64 (fma.f64 N N N) 2)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 2)) (+.f64 1 (pow.f64 (fma.f64 N N N) 2))) (pow.f64 (fma.f64 N N N) 2)) (+.f64 1 (+.f64 (fma.f64 N N N) (pow.f64 (fma.f64 N N N) 2))))
(pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) 3) 1/3)
(pow.f64 (hypot.f64 (fma.f64 N N N) (sqrt.f64 (-.f64 1 (fma.f64 N N N)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(fma.f64 1 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))
(fma.f64 1 (-.f64 1 (fma.f64 N N N)) (pow.f64 (fma.f64 N N N) 2))
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 1 (fma.f64 N N N)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 4)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (-.f64 1 (fma.f64 N N N))) (pow.f64 (fma.f64 N N N) 2))
(fma.f64 (sqrt.f64 (-.f64 1 (fma.f64 N N N))) (sqrt.f64 (-.f64 1 (fma.f64 N N N))) (pow.f64 (fma.f64 N N N) 2))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (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 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (*.f64 N (fma.f64 N N N)) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))
(+.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (*.f64 N (fma.f64 N N N)))
(-.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 2)) 1)
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 (*.f64 N N) (pow.f64 N 4))) (*.f64 (-.f64 N (*.f64 N N)) (-.f64 N (*.f64 N N))))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 3) (pow.f64 N 6))) (*.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (*.f64 N N) (pow.f64 N 4))) (*.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (-.f64 N (*.f64 N N))))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (pow.f64 N 3) (pow.f64 N 6))) (*.f64 (-.f64 N (*.f64 N N)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 N (fma.f64 N N N)) 3) (pow.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) 3)) (+.f64 (*.f64 (*.f64 N (fma.f64 N N N)) (*.f64 N (fma.f64 N N N))) (-.f64 (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (*.f64 (*.f64 N (fma.f64 N N N)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))))
(/.f64 (-.f64 (*.f64 (*.f64 N (fma.f64 N N N)) (*.f64 N (fma.f64 N N N))) (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) (-.f64 (*.f64 N (fma.f64 N N N)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (*.f64 (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 6))) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) (pow.f64 N 4))) (-.f64 N (*.f64 N N)))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (fma.f64 N N N)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (fma.f64 N N N)) (-.f64 N (*.f64 N N)))
(pow.f64 (fma.f64 N N N) 2)
(pow.f64 (pow.f64 (fma.f64 N N N) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 6) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 N N N) 4))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N N N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N N N) 2))))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 6))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N N N) 2)))
(exp.f64 (*.f64 2 (log.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 N N N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N N N) 2)))
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))
(fma.f64 (fma.f64 N N N) N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(*.f64 1 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (sqrt.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)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 2)
(fabs.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (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 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))

simplify157.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
1780×fma-neg
662×log-prod
608×associate-*r*
604×exp-prod
596×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055712725
1133611947
2553011947
Stop Event
1×node limit
Counts
387 → 356
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
1
(+.f64 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)))
1
(+.f64 1 (*.f64 -1 N))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 N 3)) (*.f64 -1 N)))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (*.f64 -1 N) (pow.f64 N 4))))
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (*.f64 -1 N) (pow.f64 N 4)))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (*.f64 -1 N) (pow.f64 N 4))))
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (*.f64 -1 N) (pow.f64 N 4)))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (*.f64 -1 N) (pow.f64 N 4))))
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(pow.f64 N 2)
(+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 2))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
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(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
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(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))))
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(*.f64 (+.f64 1 N) N)
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(pow.f64 (pow.f64 (fma.f64 N N N) 2) 1/2)
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(fma.f64 1 (*.f64 N N) N)
(fma.f64 N N N)
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (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 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
Outputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
1
(+.f64 1 (*.f64 -1 N))
(-.f64 1 N)
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 N 3)) (*.f64 -1 N)))
(+.f64 1 (fma.f64 2 (pow.f64 N 3) (neg.f64 N)))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (*.f64 -1 N) (pow.f64 N 4))))
(+.f64 1 (fma.f64 2 (pow.f64 N 3) (fma.f64 -1 N (pow.f64 N 4))))
(+.f64 1 (fma.f64 2 (pow.f64 N 3) (-.f64 (pow.f64 N 4) N)))
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4))
(fma.f64 2 (pow.f64 N 3) (pow.f64 N 4))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (*.f64 -1 N) (pow.f64 N 4)))
(fma.f64 2 (pow.f64 N 3) (fma.f64 -1 N (pow.f64 N 4)))
(fma.f64 2 (pow.f64 N 3) (-.f64 (pow.f64 N 4) N))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (*.f64 -1 N) (pow.f64 N 4))))
(+.f64 1 (fma.f64 2 (pow.f64 N 3) (fma.f64 -1 N (pow.f64 N 4))))
(+.f64 1 (fma.f64 2 (pow.f64 N 3) (-.f64 (pow.f64 N 4) N)))
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4))
(fma.f64 2 (pow.f64 N 3) (pow.f64 N 4))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (*.f64 -1 N) (pow.f64 N 4)))
(fma.f64 2 (pow.f64 N 3) (fma.f64 -1 N (pow.f64 N 4)))
(fma.f64 2 (pow.f64 N 3) (-.f64 (pow.f64 N 4) N))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (*.f64 -1 N) (pow.f64 N 4))))
(+.f64 1 (fma.f64 2 (pow.f64 N 3) (fma.f64 -1 N (pow.f64 N 4))))
(+.f64 1 (fma.f64 2 (pow.f64 N 3) (-.f64 (pow.f64 N 4) N)))
(atan2.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 2)) (+.f64 N (pow.f64 N 2)))))
(atan2.f64 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)))))
(atan2.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 2)) (+.f64 N (pow.f64 N 2)))))
(atan2.f64 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)))))
(atan2.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 2)) (+.f64 N (pow.f64 N 2)))))
(atan2.f64 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)))))
(atan2.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 2)) (+.f64 N (pow.f64 N 2)))))
(atan2.f64 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)))))
(atan2.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 2)) (+.f64 N (pow.f64 N 2)))))
(atan2.f64 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)))))
(atan2.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 2)) (+.f64 N (pow.f64 N 2)))))
(atan2.f64 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)))))
(atan2.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 2)) (+.f64 N (pow.f64 N 2)))))
(atan2.f64 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)))))
(atan2.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 N (pow.f64 N 2)) 2)) (+.f64 N (pow.f64 N 2)))))
(atan2.f64 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)))))
(atan2.f64 1 (/.f64 (+.f64 1 (pow.f64 (-.f64 (pow.f64 N 2) (*.f64 -1 N)) 3)) (-.f64 (+.f64 1 (+.f64 (pow.f64 (-.f64 (pow.f64 N 2) (*.f64 -1 N)) 2) (*.f64 -1 N))) (pow.f64 N 2))))
(atan2.f64 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)))))
(atan2.f64 1 (/.f64 (+.f64 1 (pow.f64 (-.f64 (pow.f64 N 2) (*.f64 -1 N)) 3)) (-.f64 (+.f64 1 (+.f64 (pow.f64 (-.f64 (pow.f64 N 2) (*.f64 -1 N)) 2) (*.f64 -1 N))) (pow.f64 N 2))))
(atan2.f64 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)))))
(atan2.f64 1 (/.f64 (+.f64 1 (pow.f64 (-.f64 (pow.f64 N 2) (*.f64 -1 N)) 3)) (-.f64 (+.f64 1 (+.f64 (pow.f64 (-.f64 (pow.f64 N 2) (*.f64 -1 N)) 2) (*.f64 -1 N))) (pow.f64 N 2))))
(atan2.f64 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)))))
(atan2.f64 1 (/.f64 (+.f64 1 (pow.f64 (-.f64 (pow.f64 N 2) (*.f64 -1 N)) 3)) (-.f64 (+.f64 1 (+.f64 (pow.f64 (-.f64 (pow.f64 N 2) (*.f64 -1 N)) 2) (*.f64 -1 N))) (pow.f64 N 2))))
(atan2.f64 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)))))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 2))
(fma.f64 2 (pow.f64 N 3) (*.f64 N N))
(fma.f64 N N (*.f64 2 (pow.f64 N 3)))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (fma.f64 2 (pow.f64 N 3) (*.f64 N N)) (pow.f64 N 4))
(fma.f64 2 (pow.f64 N 3) (fma.f64 N N (pow.f64 N 4)))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (fma.f64 2 (pow.f64 N 3) (*.f64 N N)) (pow.f64 N 4))
(fma.f64 2 (pow.f64 N 3) (fma.f64 N N (pow.f64 N 4)))
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4))
(fma.f64 2 (pow.f64 N 3) (pow.f64 N 4))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (fma.f64 2 (pow.f64 N 3) (*.f64 N N)) (pow.f64 N 4))
(fma.f64 2 (pow.f64 N 3) (fma.f64 N N (pow.f64 N 4)))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (fma.f64 2 (pow.f64 N 3) (*.f64 N N)) (pow.f64 N 4))
(fma.f64 2 (pow.f64 N 3) (fma.f64 N N (pow.f64 N 4)))
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N 4))
(fma.f64 2 (pow.f64 N 3) (pow.f64 N 4))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (fma.f64 2 (pow.f64 N 3) (*.f64 N N)) (pow.f64 N 4))
(fma.f64 2 (pow.f64 N 3) (fma.f64 N N (pow.f64 N 4)))
(+.f64 (*.f64 2 (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (pow.f64 N 4)))
(+.f64 (fma.f64 2 (pow.f64 N 3) (*.f64 N N)) (pow.f64 N 4))
(fma.f64 2 (pow.f64 N 3) (fma.f64 N N (pow.f64 N 4)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(/.f64 (+.f64 (pow.f64 (*.f64 N (fma.f64 N N N)) 3) (pow.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) 3)) (+.f64 (*.f64 (*.f64 N (fma.f64 N N N)) (*.f64 N (fma.f64 N N N))) (-.f64 (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (*.f64 (*.f64 N (fma.f64 N N N)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 N (fma.f64 N N N)) 3) (pow.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 4)) 3)) (+.f64 (*.f64 (*.f64 N N) (pow.f64 (fma.f64 N N N) 2)) (*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 4)) (-.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 4)) (*.f64 N (fma.f64 N N N))))))
(/.f64 (+.f64 (pow.f64 (*.f64 N (fma.f64 N N N)) 3) (pow.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 4)) 3)) (fma.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 4)) (+.f64 (pow.f64 N 3) (-.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N)))) (*.f64 N (*.f64 (pow.f64 (fma.f64 N N N) 2) N))))
(/.f64 (-.f64 (*.f64 (*.f64 N (fma.f64 N N N)) (*.f64 N (fma.f64 N N N))) (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) (-.f64 (*.f64 N (fma.f64 N N N)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (pow.f64 (fma.f64 N N N) 2)) (*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 4)) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))) (-.f64 (-.f64 (*.f64 N (fma.f64 N N N)) (pow.f64 N 4)) (pow.f64 N 3)))
(/.f64 (pow.f64 (fma.f64 N N N) 2) (/.f64 (-.f64 (*.f64 N (fma.f64 N N N)) (+.f64 (pow.f64 N 3) (pow.f64 N 4))) (-.f64 (*.f64 N (fma.f64 N N N)) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))))
(/.f64 (*.f64 (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 6))) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (fma.f64 N N N) (/.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 3) (pow.f64 N 6))))
(/.f64 (*.f64 (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 6))) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)))
(/.f64 (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) (pow.f64 N 4))) (-.f64 N (*.f64 N N)))
(/.f64 (fma.f64 N N N) (/.f64 (-.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 (-.f64 1 N) N)) (fma.f64 N N N))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (fma.f64 N N N)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (fma.f64 N N N) (/.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 3) (pow.f64 N 6))))
(/.f64 (*.f64 (fma.f64 N N N) (+.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 (*.f64 N N) (pow.f64 N 4)) (fma.f64 N N N)) (-.f64 N (*.f64 N N)))
(/.f64 (fma.f64 N N N) (/.f64 (-.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 (-.f64 1 N) N)) (fma.f64 N N N))
(pow.f64 (fma.f64 N N N) 2)
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))
(pow.f64 (pow.f64 (fma.f64 N N N) 2) 1)
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N N) 2)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) 3)
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N N) 2)
(pow.f64 (pow.f64 (fma.f64 N N N) 6) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 N N N) 6))
(sqrt.f64 (pow.f64 (fma.f64 N N N) 4))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N N N) 2)))
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N N) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N N N) 2))))
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N N) 2)
(cbrt.f64 (pow.f64 (fma.f64 N N N) 6))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N N N) 2)))
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N N) 2)
(exp.f64 (*.f64 2 (log.f64 (fma.f64 N N N))))
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N N) 2)
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 2))
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N N) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 N N N))) 1))
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N N) 2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N N N) 2)))
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N N) 2)
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N N) 2)
(fma.f64 (fma.f64 N N N) N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))
(fma.f64 N (fma.f64 N N N) (+.f64 (pow.f64 N 3) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N N) 2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 1 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/2)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 2)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(fabs.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4))
(*.f64 (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 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

eval345.0ms (7.3%)

Compiler

Compiled 21056 to 10868 computations (48.4% saved)

prune153.0ms (3.2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New7099718
Fresh033
Picked235
Done000
Total71115726
Accurracy
99.0%
Counts
726 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶56.2%
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
97.0%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
▶61.7%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N))) 1))
92.8%
(atan2.f64 1 (+.f64 (/.f64 (+.f64 N (neg.f64 (pow.f64 N 3))) (-.f64 1 N)) 1))
▶92.8%
(atan2.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N)) 1))
68.0%
(atan2.f64 1 (+.f64 (/.f64 N (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))) 1))
▶98.9%
(atan2.f64 1 (+.f64 (/.f64 N (/.f64 (-.f64 1 N) (-.f64 1 (*.f64 N N)))) 1))
61.7%
(atan2.f64 1 (+.f64 (/.f64 1 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 1))
✓99.0%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
47.6%
(atan2.f64 1 (+.f64 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N)) 1))
57.2%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
✓52.7%
(atan2.f64 1 (+.f64 N 1))
▶56.4%
(atan2.f64 1 (*.f64 N N))
✓51.4%
(atan2.f64 1 1)
98.1%
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
▶56.2%
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
97.0%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
▶61.7%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N))) 1))
92.8%
(atan2.f64 1 (+.f64 (/.f64 (+.f64 N (neg.f64 (pow.f64 N 3))) (-.f64 1 N)) 1))
▶92.8%
(atan2.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N)) 1))
68.0%
(atan2.f64 1 (+.f64 (/.f64 N (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))) 1))
▶98.9%
(atan2.f64 1 (+.f64 (/.f64 N (/.f64 (-.f64 1 N) (-.f64 1 (*.f64 N N)))) 1))
61.7%
(atan2.f64 1 (+.f64 (/.f64 1 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 1))
✓99.0%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
47.6%
(atan2.f64 1 (+.f64 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N)) 1))
57.2%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
✓52.7%
(atan2.f64 1 (+.f64 N 1))
▶56.4%
(atan2.f64 1 (*.f64 N N))
✓51.4%
(atan2.f64 1 1)
98.1%
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
Compiler

Compiled 780 to 556 computations (28.7% saved)

localize197.0ms (4.2%)

Local Accuracy

Found 14 expressions with local accuracy:

NewAccuracyProgram
✓99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
✓99.0%
(atan2.f64 1 (*.f64 N N))
✓76.7%
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
✓100.0%
(-.f64 N (*.f64 N N))
✓99.0%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N))) 1))
✓74.2%
(-.f64 (*.f64 N N) (pow.f64 N 4))
✓44.1%
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
✓99.9%
(*.f64 (-.f64 1 (*.f64 N N)) N)
✓99.0%
(atan2.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N)) 1))
✓93.8%
(/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N))
✓99.0%
(atan2.f64 1 (*.f64 N N))
✓99.9%
(/.f64 N (/.f64 (-.f64 1 N) (-.f64 1 (*.f64 N N))))
✓99.0%
(atan2.f64 1 (+.f64 (/.f64 N (/.f64 (-.f64 1 N) (-.f64 1 (*.f64 N N)))) 1))
✓75.9%
(/.f64 (-.f64 1 N) (-.f64 1 (*.f64 N N)))
Compiler

Compiled 223 to 110 computations (50.7% saved)

series9.0ms (0.2%)

Counts
14 → 168
Calls

42 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
(/.f64 N (/.f64 (-.f64 1 N) (-.f64 1 (*.f64 N N))))
1.0ms
N
@-inf
(atan2.f64 1 (*.f64 N N))
0.0ms
N
@-inf
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
0.0ms
N
@inf
(/.f64 N (/.f64 (-.f64 1 N) (-.f64 1 (*.f64 N N))))
0.0ms
N
@0
(/.f64 N (/.f64 (-.f64 1 N) (-.f64 1 (*.f64 N N))))

rewrite100.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
632×add-sqr-sqrt
626×pow1
622×*-un-lft-identity
592×add-exp-log
592×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027366
1638242
Stop Event
1×node limit
Counts
14 → 340
Calls
Call 1
Inputs
(/.f64 (-.f64 1 N) (-.f64 1 (*.f64 N N)))
(atan2.f64 1 (+.f64 (/.f64 N (/.f64 (-.f64 1 N) (-.f64 1 (*.f64 N N)))) 1))
(/.f64 N (/.f64 (-.f64 1 N) (-.f64 1 (*.f64 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 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(-.f64 (*.f64 N N) (pow.f64 N 4))
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N))) 1))
(-.f64 N (*.f64 N N))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(atan2.f64 1 (*.f64 N N))
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
Outputs
(+.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (neg.f64 (/.f64 N (-.f64 1 (*.f64 N N)))))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 N (-.f64 1 (*.f64 N N))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 N)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 N)))
(*.f64 (-.f64 1 N) (/.f64 1 (-.f64 1 (*.f64 N N))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 N))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 N))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 N))) (/.f64 1 (sqrt.f64 (+.f64 1 N))))
(*.f64 (neg.f64 (-.f64 1 N)) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (/.f64 (-.f64 1 N) (cbrt.f64 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 N N)))) (/.f64 (-.f64 1 N) (sqrt.f64 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 N)) (-.f64 1 (*.f64 N N))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 N)) 1) (/.f64 (sqrt.f64 (-.f64 1 N)) (-.f64 1 (*.f64 N N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2) (sqrt.f64 (-.f64 1 (*.f64 N N)))) (/.f64 (cbrt.f64 (-.f64 1 N)) (sqrt.f64 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 N)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (/.f64 (sqrt.f64 (-.f64 1 N)) (cbrt.f64 (-.f64 1 (*.f64 N N)))))
(pow.f64 (/.f64 1 (+.f64 1 N)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 N))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 N)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 N))) 2)
(pow.f64 (+.f64 1 N) -1)
(neg.f64 (/.f64 (-.f64 1 N) (neg.f64 (-.f64 1 (*.f64 N N)))))
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 1 N)) 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 N)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 N)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 N) 3) (pow.f64 (-.f64 1 (*.f64 N N)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 N))))
(exp.f64 (neg.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 N)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(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))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.f64 (*.f64 (/.f64 N (-.f64 1 N)) 1) (*.f64 (/.f64 N (-.f64 1 N)) (*.f64 N (neg.f64 N))))
(-.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(*.f64 1 (*.f64 N (+.f64 1 N)))
(*.f64 N (+.f64 1 N))
(*.f64 (*.f64 N (+.f64 1 N)) 1)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 N (+.f64 1 N)) 2)) (cbrt.f64 (*.f64 N (+.f64 1 N))))
(*.f64 (sqrt.f64 (*.f64 N (+.f64 1 N))) (sqrt.f64 (*.f64 N (+.f64 1 N))))
(*.f64 (neg.f64 N) (/.f64 1 (/.f64 -1 (+.f64 1 N))))
(*.f64 (/.f64 1 (-.f64 1 N)) (/.f64 N (/.f64 1 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) 1) (/.f64 (cbrt.f64 N) (/.f64 1 (+.f64 1 N))))
(*.f64 (/.f64 (sqrt.f64 N) 1) (/.f64 (sqrt.f64 N) (/.f64 1 (+.f64 1 N))))
(*.f64 (/.f64 (sqrt.f64 N) (-.f64 1 N)) (/.f64 (sqrt.f64 N) (/.f64 1 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 N))) 2)) (/.f64 N (/.f64 1 (cbrt.f64 (+.f64 1 N)))))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 N)))) (/.f64 N (/.f64 1 (sqrt.f64 (+.f64 1 N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (-.f64 1 N)) (/.f64 (cbrt.f64 N) (/.f64 1 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 N))) 2)) (cbrt.f64 (*.f64 N (+.f64 1 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 1 (sqrt.f64 (+.f64 1 N)))) (/.f64 (cbrt.f64 N) (/.f64 1 (sqrt.f64 (+.f64 1 N)))))
(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 N))) 2)) (/.f64 (sqrt.f64 N) (/.f64 1 (cbrt.f64 (+.f64 1 N)))))
(pow.f64 (*.f64 N (+.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) 3)
(pow.f64 (pow.f64 (*.f64 N (+.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 N (+.f64 1 N))) 2)
(pow.f64 (/.f64 1 (*.f64 N (+.f64 1 N))) -1)
(neg.f64 (/.f64 N (/.f64 -1 (+.f64 1 N))))
(sqrt.f64 (pow.f64 (*.f64 N (+.f64 1 N)) 2))
(log.f64 (pow.f64 (exp.f64 N) (+.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (+.f64 1 N)))))
(cbrt.f64 (pow.f64 (*.f64 N (+.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (*.f64 N (+.f64 1 N))))
(exp.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(exp.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 1))
(log1p.f64 (expm1.f64 (*.f64 N (+.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N)))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 N N))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
(-.f64 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N))) 1)
(-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (*.f64 N N) (/.f64 (-.f64 1 N) N)))
(*.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N)))
(*.f64 (-.f64 1 (*.f64 N N)) (/.f64 N (-.f64 1 N)))
(*.f64 (*.f64 N (-.f64 1 (*.f64 N N))) (/.f64 1 (-.f64 1 N)))
(*.f64 (*.f64 (/.f64 N 1) (+.f64 1 N)) 1)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 N 1) (+.f64 1 N))) 2) (cbrt.f64 (*.f64 (/.f64 N 1) (+.f64 1 N))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 N 1) (+.f64 1 N))) (sqrt.f64 (*.f64 (/.f64 N 1) (+.f64 1 N))))
(*.f64 (*.f64 N (neg.f64 (-.f64 1 (*.f64 N N)))) (/.f64 1 (neg.f64 (-.f64 1 N))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)) (/.f64 (*.f64 N (-.f64 1 (*.f64 N N))) (cbrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 N))) (/.f64 (*.f64 N (-.f64 1 (*.f64 N N))) (sqrt.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 N 1) (+.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 (-.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 (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 (*.f64 N N)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 N (-.f64 1 (*.f64 N N)))) (-.f64 1 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 (*.f64 N N)))) 2) (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)) (cbrt.f64 (*.f64 (/.f64 N 1) (+.f64 1 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 (*.f64 N N)))) 2) (sqrt.f64 (-.f64 1 N))) (/.f64 (cbrt.f64 (*.f64 N (-.f64 1 (*.f64 N N)))) (sqrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 N (-.f64 1 (*.f64 N N)))) 1) (/.f64 (sqrt.f64 (*.f64 N (-.f64 1 (*.f64 N N)))) (-.f64 1 N)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 N (-.f64 1 (*.f64 N N)))) (pow.f64 (cbrt.f64 (-.f64 1 N)) 2)) (/.f64 (sqrt.f64 (*.f64 N (-.f64 1 (*.f64 N N)))) (cbrt.f64 (-.f64 1 N))))
(pow.f64 (*.f64 (/.f64 N 1) (+.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 N 1) (+.f64 1 N))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 N 1) (+.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 N 1) (+.f64 1 N))) 2)
(pow.f64 (*.f64 (/.f64 1 N) (/.f64 1 (+.f64 1 N))) -1)
(neg.f64 (/.f64 (*.f64 N (-.f64 1 (*.f64 N N))) (neg.f64 (-.f64 1 N))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 N 1) (+.f64 1 N)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 N 1) (+.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 N 1) (+.f64 1 N)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 N 1) (+.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 N 1) (+.f64 1 N))))
(exp.f64 (log.f64 (*.f64 (/.f64 N 1) (+.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 N 1) (+.f64 1 N))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 N 1) (+.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N)))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N))))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N))))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N))))))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N)))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N))))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N)))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N))))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N)))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N))))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N)))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N))))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N))))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N 1) (+.f64 1 N))))))
(+.f64 (*.f64 N 1) (*.f64 N (*.f64 N (neg.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (-.f64 1 (*.f64 N N))))) 1)
(pow.f64 (*.f64 N (-.f64 1 (*.f64 N N))) 1)
(pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 (*.f64 N N)))) 3)
(pow.f64 (pow.f64 (*.f64 N (-.f64 1 (*.f64 N N))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 N (-.f64 1 (*.f64 N N)))) 2)
(sqrt.f64 (pow.f64 (*.f64 N (-.f64 1 (*.f64 N N))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 N N))) N))
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(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))))

simplify165.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1262×fma-neg
976×log-prod
828×times-frac
606×associate-/l*
586×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073112530
1177510714
2686010714
Stop Event
1×node limit
Counts
508 → 420
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 N))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 N) (*.f64 -1 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)) (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)) (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (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 (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))
(pow.f64 N 2)
(+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 2))
(+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 2))
(+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 2))
(*.f64 -1 (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(*.f64 -1 (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 2) (-.f64 N (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 2) (-.f64 N (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 2) (-.f64 N (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 2) (-.f64 N (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 2) (-.f64 N (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 2) (-.f64 N (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 2) (-.f64 N (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 2) (-.f64 N (pow.f64 N 2)))) (/.f64 (pow.f64 N 4) (-.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) 1))
(atan2.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) 1))
(atan2.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) 1))
(atan2.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) 1))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(*.f64 -1 (pow.f64 N 2))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(*.f64 -1 (pow.f64 N 2))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(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))
(+.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (neg.f64 (/.f64 N (-.f64 1 (*.f64 N N)))))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 N (-.f64 1 (*.f64 N N))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 N)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 N)))
(*.f64 (-.f64 1 N) (/.f64 1 (-.f64 1 (*.f64 N N))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 N))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 N))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 N))) (/.f64 1 (sqrt.f64 (+.f64 1 N))))
(*.f64 (neg.f64 (-.f64 1 N)) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (/.f64 (-.f64 1 N) (cbrt.f64 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 N N)))) (/.f64 (-.f64 1 N) (sqrt.f64 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 N)) (-.f64 1 (*.f64 N N))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 N)) 1) (/.f64 (sqrt.f64 (-.f64 1 N)) (-.f64 1 (*.f64 N N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 N)) 2) (sqrt.f64 (-.f64 1 (*.f64 N N)))) (/.f64 (cbrt.f64 (-.f64 1 N)) (sqrt.f64 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 N)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 N N))) 2)) (/.f64 (sqrt.f64 (-.f64 1 N)) (cbrt.f64 (-.f64 1 (*.f64 N N)))))
(pow.f64 (/.f64 1 (+.f64 1 N)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 N))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 N)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 N))) 2)
(pow.f64 (+.f64 1 N) -1)
(neg.f64 (/.f64 (-.f64 1 N) (neg.f64 (-.f64 1 (*.f64 N N)))))
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 1 N)) 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 N)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 N)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 N) 3) (pow.f64 (-.f64 1 (*.f64 N N)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 N))))
(exp.f64 (neg.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 N)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(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))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.f64 (*.f64 (/.f64 N (-.f64 1 N)) 1) (*.f64 (/.f64 N (-.f64 1 N)) (*.f64 N (neg.f64 N))))
(-.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(*.f64 1 (*.f64 N (+.f64 1 N)))
(*.f64 N (+.f64 1 N))
(*.f64 (*.f64 N (+.f64 1 N)) 1)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 N (+.f64 1 N)) 2)) (cbrt.f64 (*.f64 N (+.f64 1 N))))
(*.f64 (sqrt.f64 (*.f64 N (+.f64 1 N))) (sqrt.f64 (*.f64 N (+.f64 1 N))))
(*.f64 (neg.f64 N) (/.f64 1 (/.f64 -1 (+.f64 1 N))))
(*.f64 (/.f64 1 (-.f64 1 N)) (/.f64 N (/.f64 1 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) 1) (/.f64 (cbrt.f64 N) (/.f64 1 (+.f64 1 N))))
(*.f64 (/.f64 (sqrt.f64 N) 1) (/.f64 (sqrt.f64 N) (/.f64 1 (+.f64 1 N))))
(*.f64 (/.f64 (sqrt.f64 N) (-.f64 1 N)) (/.f64 (sqrt.f64 N) (/.f64 1 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 N))) 2)) (/.f64 N (/.f64 1 (cbrt.f64 (+.f64 1 N)))))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 N)))) (/.f64 N (/.f64 1 (sqrt.f64 (+.f64 1 N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (-.f64 1 N)) (/.f64 (cbrt.f64 N) (/.f64 1 (-.f64 1 (*.f64 N N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 N))) 2)) (cbrt.f64 (*.f64 N (+.f64 1 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 1 (sqrt.f64 (+.f64 1 N)))) (/.f64 (cbrt.f64 N) (/.f64 1 (sqrt.f64 (+.f64 1 N)))))
(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 N))) 2)) (/.f64 (sqrt.f64 N) (/.f64 1 (cbrt.f64 (+.f64 1 N)))))
(pow.f64 (*.f64 N (+.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) 3)
(pow.f64 (pow.f64 (*.f64 N (+.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 N (+.f64 1 N))) 2)
(pow.f64 (/.f64 1 (*.f64 N (+.f64 1 N))) -1)
(neg.f64 (/.f64 N (/.f64 -1 (+.f64 1 N))))
(sqrt.f64 (pow.f64 (*.f64 N (+.f64 1 N)) 2))
(log.f64 (pow.f64 (exp.f64 N) (+.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (+.f64 1 N)))))
(cbrt.f64 (pow.f64 (*.f64 N (+.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (*.f64 N (+.f64 1 N))))
(exp.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(exp.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 1))
(log1p.f64 (expm1.f64 (*.f64 N (+.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N)))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
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(+.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)))))
(*.f64 1 (-.f64 N (*.f64 N N)))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (+.f64 N (*.f64 N N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (*.f64 N N))) 2) (cbrt.f64 (-.f64 N (*.f64 N N))))
(*.f64 (sqrt.f64 (-.f64 N (*.f64 N N))) (sqrt.f64 (-.f64 N (*.f64 N N))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(*.f64 (+.f64 (sqrt.f64 N) N) (-.f64 (sqrt.f64 N) N))
(/.f64 1 (/.f64 (+.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(/.f64 1 (/.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (-.f64 (pow.f64 N 3) (pow.f64 N 6))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 N (*.f64 N N)))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 4))) (neg.f64 (+.f64 N (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6))) (neg.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (neg.f64 N)) 3)) (+.f64 (*.f64 N N) (-.f64 (*.f64 (*.f64 N (neg.f64 N)) (*.f64 N (neg.f64 N))) (*.f64 N (*.f64 N (neg.f64 N))))))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (*.f64 N (neg.f64 N)) (*.f64 N (neg.f64 N)))) (-.f64 N (*.f64 N (neg.f64 N))))
(pow.f64 (-.f64 N (*.f64 N N)) 1)
(pow.f64 (cbrt.f64 (-.f64 N (*.f64 N N))) 3)
(pow.f64 (pow.f64 (-.f64 N (*.f64 N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 N (*.f64 N N))) 2)
(sqrt.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2))
(log.f64 (exp.f64 (-.f64 N (*.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 N (*.f64 N N)))))
(cbrt.f64 (pow.f64 (-.f64 N (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (-.f64 N (*.f64 N N))))
(exp.f64 (log.f64 (-.f64 N (*.f64 N N))))
(exp.f64 (*.f64 (log.f64 (-.f64 N (*.f64 N N))) 1))
(log1p.f64 (expm1.f64 (-.f64 N (*.f64 N N))))
(fma.f64 1 N (*.f64 N (neg.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N (neg.f64 N)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N (neg.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))))) 1)
(*.f64 1 (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4) (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 1/2))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3/2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4) 2)
(fabs.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 N N))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N)))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 N N))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N)))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 N N))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
Outputs
1
(+.f64 1 (*.f64 -1 N))
(-.f64 1 N)
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))
(+.f64 1 (+.f64 (*.f64 N N) (neg.f64 N)))
(+.f64 1 (-.f64 (*.f64 N N) N))
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 N) (*.f64 -1 (pow.f64 N 3)))))
(+.f64 (+.f64 1 (*.f64 N N)) (*.f64 -1 (+.f64 N (pow.f64 N 3))))
(+.f64 1 (-.f64 (-.f64 (*.f64 N N) N) (pow.f64 N 3)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))) (/.f64 1 (*.f64 N N)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -1 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)) (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -1 (*.f64 N N)))) (/.f64 1 (pow.f64 N 4)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))) (/.f64 1 (*.f64 N N)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -1 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 1 N)) (+.f64 (/.f64 1 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))) (+.f64 (/.f64 1 (*.f64 N N)) (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (/.f64 1 N) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 -1 (*.f64 N N)))) (/.f64 1 (pow.f64 N 4)))
(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 N (pow.f64 N 3)) (-.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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N 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 (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N 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 (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(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))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N 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 (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N 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 (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(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 N (pow.f64 N 3)) (-.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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (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 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
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(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
N
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(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
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N
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(fma.f64 N N N)
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(fma.f64 N N N)
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(*.f64 N N)
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(fma.f64 N N N)
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(fma.f64 N N N)
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(*.f64 N N)
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(fma.f64 N N N)
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(fma.f64 N N N)
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(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))))
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(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) 1))
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(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (/.f64 (-.f64 N (*.f64 N N)) N))) (/.f64 (pow.f64 N 4) (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
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(-.f64 N (*.f64 N N))
(*.f64 -1 (pow.f64 N 2))
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(-.f64 N (*.f64 N N))
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(-.f64 N (*.f64 N N))
(*.f64 -1 (pow.f64 N 2))
(neg.f64 (*.f64 N N))
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(-.f64 N (*.f64 N N))
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(-.f64 N (*.f64 N N))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(sqrt.f64 (atan2.f64 1 (pow.f64 N 2)))
(sqrt.f64 (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))
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(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
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(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))
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(atan2.f64 1 (pow.f64 N 2))
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(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 N))))
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(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1/2)
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 1)
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))) 3)
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3/2))
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 1/4) 2)
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(fabs.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))))))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 N N))) 1/2))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))) 1))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N)))))
(sqrt.f64 (atan2.f64 1 (*.f64 N N)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N)))) 1)
(atan2.f64 1 (*.f64 N N))
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(atan2.f64 1 (*.f64 N N))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2) 1/2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(fabs.f64 (atan2.f64 1 (*.f64 N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(atan2.f64 1 (*.f64 N N))
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(fabs.f64 (atan2.f64 1 (*.f64 N N)))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 N N)))))
(atan2.f64 1 (*.f64 N N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(atan2.f64 1 (*.f64 N N))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 N N))) 1))
(atan2.f64 1 (*.f64 N N))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N)))) 1)
(atan2.f64 1 (*.f64 N N))
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(atan2.f64 1 (*.f64 N N))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(fabs.f64 (atan2.f64 1 (*.f64 N N)))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (*.f64 N N)))))
(atan2.f64 1 (*.f64 N N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(atan2.f64 1 (*.f64 N N))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (*.f64 N N))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (*.f64 N N))) 1))
(atan2.f64 1 (*.f64 N N))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))

eval202.0ms (4.3%)

Compiler

Compiled 7971 to 5289 computations (33.6% saved)

prune116.0ms (2.4%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New4364440
Fresh437
Picked235
Done033
Total44213455
Accurracy
99.0%
Counts
455 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓56.2%
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
56.0%
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
98.8%
(atan2.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 1 N) (/.f64 1 (+.f64 1 N))) -1) 1))
✓92.8%
(atan2.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N)) 1))
96.1%
(atan2.f64 1 (+.f64 (/.f64 N (/.f64 1 N)) 1))
✓99.0%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
47.6%
(atan2.f64 1 (+.f64 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N)) 1))
92.8%
(atan2.f64 1 (+.f64 (*.f64 (*.f64 N (-.f64 1 (*.f64 N N))) (/.f64 1 (-.f64 1 N))) 1))
57.2%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
✓52.7%
(atan2.f64 1 (+.f64 N 1))
✓56.4%
(atan2.f64 1 (*.f64 N N))
✓51.4%
(atan2.f64 1 1)
98.1%
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
Compiler

Compiled 457 to 312 computations (31.7% saved)

regimes43.0ms (0.9%)

Counts
23 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (+.f64 N (*.f64 N N)))
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
(atan2.f64 1 (+.f64 (/.f64 N (/.f64 1 N)) 1))
(atan2.f64 1 (+.f64 (/.f64 N (/.f64 (-.f64 1 N) (-.f64 1 (*.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 N (-.f64 1 (*.f64 N N))) (/.f64 1 (-.f64 1 N))) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 (/.f64 (+.f64 N (neg.f64 (pow.f64 N 3))) (-.f64 1 N)) 1))
(atan2.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 1 N) (/.f64 1 (+.f64 1 N))) -1) 1))
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N))) 1))
(atan2.f64 1 (+.f64 (/.f64 1 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4)))) 1))
(atan2.f64 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)))))
(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 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N)) 1))
(atan2.f64 1 (+.f64 (/.f64 N (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))) 1))
(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)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
Outputs
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
Calls

2 calls:

33.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.0%1N
99.0%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 309 to 201 computations (35% saved)

regimes13.0ms (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:

12.0ms
N
Results
AccuracySegmentsBranch
97.7%3N
Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes11.0ms (0.2%)

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

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
96.9%3N
Compiler

Compiled 16 to 12 computations (25% saved)

regimes9.0ms (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:

8.0ms
N
Results
AccuracySegmentsBranch
96.2%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:

2.0ms
N
Results
AccuracySegmentsBranch
51.4%1N
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch57.0ms (1.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
3.4269087937175536e-6
3.255511455513403
36.0ms
-457.5333940314032
-0.2073040607641039
Results
54.0ms272×body256valid
Compiler

Compiled 284 to 213 computations (25% saved)

bsearch81.0ms (1.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
3.4269087937175536e-6
3.255511455513403
59.0ms
-457.5333940314032
-0.2073040607641039
Results
77.0ms272×body256valid
Compiler

Compiled 250 to 196 computations (21.6% saved)

bsearch42.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
3.4269087937175536e-6
3.255511455513403
21.0ms
-457.5333940314032
-0.2073040607641039
Results
39.0ms272×body256valid
Compiler

Compiled 216 to 179 computations (17.1% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
029185
144185
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (*.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (*.f64 N N)))))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (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 N (*.f64 N N)) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (*.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (*.f64 N N)))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (+.f64 N (*.f64 N N))) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (*.f64 N N))))
(if (or (<=.f64 N -5584463537939415/9007199254740992) (not (<=.f64 N 3602879701896397/2251799813685248))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -1) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (*.f64 N N))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 1))
(atan2.f64 1 1)
Compiler

Compiled 74 to 56 computations (24.3% saved)

soundness509.0ms (10.8%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 199 to 140 computations (29.6% saved)

end88.0ms (1.9%)

Compiler

Compiled 178 to 126 computations (29.2% saved)

Profiling

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