Details

Time bar (total: 8.0s)

analyze0.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample2.1s (26.4%)

Results
949.0ms2159×body2048valid
620.0ms4548×body256valid
440.0ms1047×body1024valid
88.0ms502×body512valid
Bogosity

preprocess12.0ms (0.2%)

Algorithm
egg-herbie
Rules
80×fma-def
44×associate--r+
36×associate-+l-
30×+-commutative
28×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11421
21821
32621
43521
55221
610321
714121
818721
923321
1025721
1125921
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify18.0ms (0.2%)

Algorithm
egg-herbie
Rules
80×fma-def
44×associate--r+
36×associate-+l-
30×+-commutative
28×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11421
21821
32621
43521
55221
610321
714121
818721
923321
1025721
1125921
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.2b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
13.2b
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (+.f64 N 1))
1.5b
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite100.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
866×*-commutative
726×associate-*r/
718×unswap-sqr
594×associate-*l/
520×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119432
2259432
Stop Event
node limit
Counts
2 → 125
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan.f64 (+.f64 N 1))
Outputs
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simplify105.0ms (1.3%)

Algorithm
egg-herbie
Rules
1488×associate-*r/
1096×associate-*l/
928×+-commutative
868×associate-+l-
706×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03178295
18807553
243527553
Stop Event
node limit
Counts
133 → 212
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)))
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(/.f64 (*.f64 (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (*.f64 (atan.f64 N) (pow.f64 (atan.f64 N) 3))) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 3) (pow.f64 (pow.f64 (atan.f64 N) 2) 3)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (*.f64 (pow.f64 (atan.f64 N) 2) (+.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (*.f64 (pow.f64 (atan.f64 N) 3) (pow.f64 (atan.f64 N) 3))) (/.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 3) (pow.f64 (pow.f64 (atan.f64 N) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (+.f64 (*.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 (+.f64 N 1)) 3)) (*.f64 (pow.f64 (atan.f64 N) 3) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) 1) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) 1) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(neg.f64 (/.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)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))
(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)))))
(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)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(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 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.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))) (neg.f64 (atan.f64 N)))
(-.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 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 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 (*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))) (*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))))
(*.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(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))))
(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)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (+.f64 (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 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 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (*.f64 2 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(fma.f64 2 (+.f64 (atan.f64 N) (neg.f64 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))
(-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (+.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (atan.f64 N)) (atan.f64 N)))
(-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (+.f64 (atan.f64 N) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 1 N)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (atan.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (sqrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (cbrt.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(pow.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))
(pow.f64 (sqrt.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))
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(neg.f64 (/.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 N) 2) (neg.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 1 N)) 2)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 1 N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 2))
(fabs.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))
(log.f64 (exp.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))
(log.f64 (+.f64 1 (expm1.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))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(expm1.f64 (log1p.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))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
(exp.f64 (log.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))
(log1p.f64 (expm1.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))
(fma.f64 1 (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))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.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))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.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 (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 (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 (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 (*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))) (*.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1)))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))))))
(*.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N))))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (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 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(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)) 3) 1/3)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2))
(fabs.f64 (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))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))

eval102.0ms (1.3%)

Compiler

Compiled 5886 to 3789 computations (35.6% saved)

prune28.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2102212
Fresh000
Picked011
Done000
Total2103213
Error
0.5b
Counts
213 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
12.0b
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
0.5b
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
13.2b
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 35 to 23 computations (34.3% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 N N (+.f64 1 N))
0.5b
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
Compiler

Compiled 32 to 16 computations (50% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite61.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1724×add-sqr-sqrt
1710×*-un-lft-identity
1586×add-cube-cbrt
1572×add-cbrt-cube
184×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
122236
2221536
Stop Event
node limit
Counts
2 → 43
Calls
Call 1
Inputs
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
(fma.f64 N N (+.f64 1 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 N) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 N N) 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 N N) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 N N) 1) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 N N (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 N N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (*.f64 N N) (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 N N (+.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N))))))))

simplify63.0ms (0.8%)

Algorithm
egg-herbie
Rules
688×distribute-lft-in
626×unswap-sqr
608×distribute-rgt-in
552×associate-/l*
542×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01061259
12351223
210141219
340491219
Stop Event
node limit
Counts
67 → 61
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.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)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 (+.f64 (*.f64 N N) 1) N)
(+.f64 (+.f64 (*.f64 N N) N) 1)
(+.f64 (*.f64 (*.f64 N N) 1) (+.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 1)
(*.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (fma.f64 N N (+.f64 1 N)) 1)
(*.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))
(/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (*.f64 N N) (+.f64 1 N)))))
(pow.f64 (fma.f64 N N (+.f64 1 N)) 1)
(pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
(pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))
(log.f64 (exp.f64 (fma.f64 N N (+.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))
(exp.f64 (log.f64 (fma.f64 N N (+.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N (+.f64 1 N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N))))
Outputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(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 (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(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 (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 (+.f64 (*.f64 N N) 1) N)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 (+.f64 (*.f64 N N) N) 1)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 (*.f64 (*.f64 N N) 1) (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N)))) 1)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(*.f64 1 (fma.f64 N N (+.f64 1 N)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(*.f64 (fma.f64 N N (+.f64 1 N)) 1)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(*.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))
(/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (*.f64 N N) (+.f64 1 N)))))
(/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (*.f64 N (+.f64 1 N))))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (fma.f64 (+.f64 1 N) (+.f64 1 (-.f64 N (*.f64 N N))) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N (+.f64 1 N)) 1)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 1/3)
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(log.f64 (exp.f64 (fma.f64 N N (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 1 N)))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(exp.f64 (log.f64 (fma.f64 N N (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N (+.f64 1 N))) 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 N 1) (*.f64 N N))
0.0b
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
2.4b
(+.f64 N (-.f64 1 N))
Compiler

Compiled 37 to 20 computations (45.9% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite95.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1626×associate-*l/
1052×*-commutative
702×associate-/r*
530×associate-/r/
372×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01069
123161
2343661
Stop Event
node limit
Counts
3 → 202
Calls
Call 1
Inputs
(+.f64 N (-.f64 1 N))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(+.f64 (+.f64 N 1) (*.f64 N N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 1 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 N))) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 2 N))) (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 N) 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 N 1)) (-.f64 (/.f64 N (/.f64 (+.f64 N 1) N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (-.f64 (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))) N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (/.f64 (pow.f64 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simplify121.0ms (1.5%)

Algorithm
egg-herbie
Rules
1192×+-commutative
960×associate--r+
852×associate-+r-
780×associate-+l-
500×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05478462
116887700
263937544
Stop Event
node limit
Counts
238 → 313
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 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)))
1
(+.f64 N 1)
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(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
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(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
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(-.f64 (+.f64 N 1) N)
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(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) 1)
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(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
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(-.f64 (/.f64 1 (+.f64 N 1)) (-.f64 (/.f64 N (/.f64 (+.f64 N 1) N)) N))
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(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N))
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(-.f64 (+.f64 (-.f64 1 N) (+.f64 N 1)) 1)
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(/.f64 (*.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (*.f64 N N)) 3)) 1) (+.f64 (*.f64 N N) (-.f64 (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N))) (*.f64 N (+.f64 1 (*.f64 N N))))))
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(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) 1) (neg.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (sqrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (*.f64 (pow.f64 N 4) (pow.f64 N 4))) (/.f64 1 (+.f64 1 (-.f64 N (*.f64 N N))))) (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 2) 3) (pow.f64 (pow.f64 N 4) 3)) (/.f64 1 (+.f64 1 (-.f64 N (*.f64 N N))))) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 2)) (*.f64 (pow.f64 N 4) (pow.f64 N 4))) (*.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (*.f64 (pow.f64 N 6) (pow.f64 N 6))) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 N 1) 3) 3) (pow.f64 (pow.f64 N 6) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (+.f64 N 1) 3)) (-.f64 (*.f64 (pow.f64 N 6) (pow.f64 N 6)) (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 1) (+.f64 1 (-.f64 N (*.f64 N N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (sqrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))) (sqrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 N (hypot.f64 1 (sqrt.f64 N)))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) N))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) 1) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))))
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 2)
(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)
(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))
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 N N N))))
(exp.f64 (log.f64 (+.f64 1 (fma.f64 N N N))))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(fma.f64 N N (+.f64 N 1))
(fma.f64 1 N (+.f64 1 (*.f64 N N)))
(fma.f64 1 (+.f64 N 1) (*.f64 N N))
(fma.f64 1 (*.f64 N N) (+.f64 N 1))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1 (*.f64 N N)))
(fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1 (*.f64 N N)))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 N N))
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N 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 (+.f64 1 N) (*.f64 N 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 (+.f64 1 N) (*.f64 N 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 (+.f64 1 N) (*.f64 N 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 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(-.f64 1 (-.f64 N N))
1
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 N) 1 N)))
1
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(-.f64 1 (-.f64 (-.f64 N N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(-.f64 (+.f64 N 1) N)
1
(-.f64 (+.f64 N 1) (-.f64 1 (-.f64 1 N)))
1
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 N) 1 N)))
1
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(-.f64 (+.f64 N 1) (-.f64 N (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(-.f64 (exp.f64 (log.f64 (+.f64 2 N))) (+.f64 N 1))
1
(-.f64 (exp.f64 (log.f64 (-.f64 2 N))) (-.f64 1 N))
1
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) 1)
1
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 N) 1 N)))
1
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(-.f64 (exp.f64 (log.f64 (-.f64 (+.f64 2 N) N))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(-.f64 (/.f64 1 (+.f64 N 1)) (-.f64 (/.f64 N (/.f64 (+.f64 N 1) N)) N))
(-.f64 (/.f64 1 (+.f64 1 N)) (-.f64 (/.f64 N (/.f64 (+.f64 1 N) N)) N))
(-.f64 (/.f64 1 (+.f64 1 N)) (*.f64 N (+.f64 (/.f64 N (+.f64 1 N)) -1)))
(+.f64 (/.f64 1 (+.f64 1 N)) (-.f64 N (*.f64 N (/.f64 N (+.f64 1 N)))))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (-.f64 (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))) N))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))) N)
(+.f64 N (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))))
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))))
1
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 N) 1 N)))
1
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
1
(-.f64 (/.f64 N (/.f64 (+.f64 N (+.f64 N -1)) N)) (-.f64 (/.f64 (pow.f64 (-.f64 1 N) 2) (+.f64 N (+.f64 N -1))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
1
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N)))
(-.f64 (/.f64 N (/.f64 (+.f64 N -1) N)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N)))
(-.f64 (-.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) N) (/.f64 1 (+.f64 N -1)))
(+.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) (-.f64 (/.f64 -1 (+.f64 N -1)) N))
(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (+.f64 (/.f64 1 (+.f64 N -1)) N))
(-.f64 (/.f64 N (/.f64 (+.f64 N -1) N)) (-.f64 (/.f64 1 (+.f64 N -1)) (neg.f64 N)))
(-.f64 (-.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) N) (/.f64 1 (+.f64 N -1)))
(+.f64 (*.f64 (/.f64 N (+.f64 N -1)) N) (-.f64 (/.f64 -1 (+.f64 N -1)) N))
(-.f64 (+.f64 N (exp.f64 (log.f64 (-.f64 2 N)))) 1)
1
(-.f64 (+.f64 N (/.f64 1 (+.f64 N 1))) (/.f64 N (/.f64 (+.f64 N 1) N)))
(-.f64 (/.f64 1 (+.f64 1 N)) (-.f64 (/.f64 N (/.f64 (+.f64 1 N) N)) N))
(-.f64 (/.f64 1 (+.f64 1 N)) (*.f64 N (+.f64 (/.f64 N (+.f64 1 N)) -1)))
(+.f64 (/.f64 1 (+.f64 1 N)) (-.f64 N (*.f64 N (/.f64 N (+.f64 1 N)))))
(-.f64 (+.f64 N (/.f64 1 (+.f64 1 (fma.f64 N N N)))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N))))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))) N)
(+.f64 N (-.f64 (/.f64 1 (+.f64 1 (fma.f64 N N N))) (/.f64 (pow.f64 N 3) (+.f64 1 (fma.f64 N N N)))))
(-.f64 (+.f64 (-.f64 1 N) (+.f64 N 1)) 1)
1
(-.f64 (+.f64 (+.f64 N 1) 0) N)
1
(*.f64 1 (+.f64 N (-.f64 1 N)))
1
(*.f64 (+.f64 N (-.f64 1 N)) 1)
1
(*.f64 (sqrt.f64 (+.f64 N (-.f64 1 N))) (sqrt.f64 (+.f64 N (-.f64 1 N))))
1
(*.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2))
1
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2) (cbrt.f64 (+.f64 N (-.f64 1 N))))
1
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (/.f64 1 (+.f64 N (+.f64 N -1))))
1
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(*.f64 (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)))
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))))
(*.f64 (+.f64 (sqrt.f64 N) (hypot.f64 1 (sqrt.f64 N))) (-.f64 (hypot.f64 1 (sqrt.f64 N)) (sqrt.f64 N)))
(*.f64 (/.f64 1 (+.f64 N (+.f64 N -1))) (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)))
1
(*.f64 (/.f64 1 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))) (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)))
(*.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (fma.f64 N N (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2))) (+.f64 N (-.f64 1 N)))
1
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (*.f64 N N) (+.f64 (pow.f64 (-.f64 1 N) 2) (*.f64 N (-.f64 1 N)))))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 1 N) 2)) (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3))) (+.f64 (fma.f64 N N (pow.f64 (-.f64 1 N) 2)) (*.f64 N (-.f64 1 N))))
(/.f64 (*.f64 1 (-.f64 N (-.f64 1 N))) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N)))
(/.f64 (fma.f64 2 N -1) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (fma.f64 N N 1) N)))
(*.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (pow.f64 N 4) (*.f64 (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N))) (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))) (-.f64 (*.f64 N N) (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
(*.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1 N) 3)) (-.f64 (pow.f64 N 4) (*.f64 (pow.f64 (-.f64 1 N) 2) (*.f64 (-.f64 1 (+.f64 N N)) (-.f64 1 (+.f64 N N)))))) (-.f64 (*.f64 N N) (*.f64 (-.f64 1 N) (-.f64 1 (+.f64 N N)))))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (neg.f64 N))
1
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 1)
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(*.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 3)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 2))
(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 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 (+.f64 N 1) (-.f64 1 (+.f64 1 (*.f64 N N))))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(-.f64 (+.f64 1 (*.f64 N N)) (-.f64 1 (+.f64 N 1)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(-.f64 (exp.f64 (log.f64 (+.f64 2 N))) (-.f64 1 (*.f64 N N)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 N N N)))) 1)
(+.f64 (+.f64 1 N) (*.f64 N N))
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(-.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 1 (-.f64 N (*.f64 N N)))) (/.f64 (pow.f64 N 4) (+.f64 1 (-.f64 N (*.f64 N N)))))
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(-.f64 (/.f64 (*.f64 N N) (+.f64 N -1)) (-.f64 (/.f64 1 (+.f64 N -1)) (*.f64 N N)))
(-.f64 (/.f64 N (/.f64 (+.f64 N -1) N)) (-.f64 (/.f64 1 (+.f64 N -1)) (*.f64 N N)))
(+.f64 (fma.f64 N N (*.f64 (/.f64 N (+.f64 N -1)) N)) (/.f64 -1 (+.f64 N -1)))
(-.f64 (+.f64 2 (fma.f64 N N N)) 1)
(+.f64 (+.f64 1 N) (*.f64 N N))
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(-.f64 (+.f64 (*.f64 N N) (exp.f64 (log.f64 (+.f64 2 N)))) 1)
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(-.f64 (+.f64 (*.f64 N N) (/.f64 (*.f64 N N) (+.f64 N -1))) (/.f64 1 (+.f64 N -1)))
(-.f64 (/.f64 N (/.f64 (+.f64 N -1) N)) (-.f64 (/.f64 1 (+.f64 N -1)) (*.f64 N N)))
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(*.f64 (+.f64 1 (fma.f64 N N N)) 1)
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(*.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))))
(pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 2)
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 (+.f64 1 N) (*.f64 N N))
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(*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 1 (+.f64 1 (-.f64 N (*.f64 N N)))))
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(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(*.f64 (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))) (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)))
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(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))))
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(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6))) (+.f64 (pow.f64 (+.f64 1 N) 2) (+.f64 (pow.f64 N 4) (*.f64 N (fma.f64 N N N)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (+.f64 (pow.f64 (+.f64 1 N) 2) (fma.f64 N (fma.f64 N N N) (pow.f64 N 4)))) (-.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)))
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N)))))) (sqrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))))
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N))))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (fma.f64 2 N 1) 1) (pow.f64 N 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))))) (cbrt.f64 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 N 1) 2) (*.f64 N (fma.f64 N N N))))))
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N))))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 N (fma.f64 N N N)))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (fma.f64 2 N 1) 1) (pow.f64 N 3))))
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1)
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/3)
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(fabs.f64 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 N N N))))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(exp.f64 (log.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 N 1))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 N (+.f64 1 (*.f64 N N)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (+.f64 N 1) (*.f64 N N))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (*.f64 N N) (+.f64 N 1))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1 (*.f64 N N)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (hypot.f64 1 (sqrt.f64 N)) (hypot.f64 1 (sqrt.f64 N)) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1 (*.f64 N N)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 N 1))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (cbrt.f64 (+.f64 N 1)) (*.f64 N N))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))

eval164.0ms (2.1%)

Compiler

Compiled 10218 to 6383 computations (37.5% saved)

prune57.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3686374
Fresh000
Picked101
Done202
Total3716377
Error
0.5b
Counts
377 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
1.9b
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
27.1b
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))))
21.6b
(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N)))
28.8b
(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
0.5b
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
9.0b
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
Compiler

Compiled 190 to 126 computations (33.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 N 1) (*.f64 N N))
0.5b
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
Compiler

Compiled 25 to 13 computations (48% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite78.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1868×add-sqr-sqrt
1848×*-un-lft-identity
1730×add-cube-cbrt
1716×add-cbrt-cube
178×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0825
117421
2238821
Stop Event
node limit
Counts
1 → 18
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))

simplify55.0ms (0.7%)

Algorithm
egg-herbie
Rules
830×*-commutative
752×associate-*r*
604×associate-*l*
584×distribute-lft-in
520×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050750
1100630
2404630
32166630
45384630
Stop Event
node limit
Counts
30 → 22
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)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
Outputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N 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 N (+.f64 1 (*.f64 N 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 N (+.f64 1 (*.f64 N 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 N (+.f64 1 (*.f64 N 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 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

localize8.0ms (0.1%)

Compiler

Compiled 18 to 9 computations (50% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))
2.4b
(+.f64 N (-.f64 1 N))
15.5b
(-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N))))
18.4b
(/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))
Compiler

Compiled 108 to 51 computations (52.8% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite123.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1706×associate-/r/
670×associate-+l+
416×+-commutative
334×associate-+r+
316×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012105
129857
2478257
Stop Event
node limit
Counts
3 → 290
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))
(-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N))))
(*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 N (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 N) -1) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 (neg.f64 N)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 N N 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 N N 1) (*.f64 (neg.f64 N) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 N N 1) (neg.f64 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N 1) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 N (-.f64 N (fma.f64 N N 1))) N) (neg.f64 (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> 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egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 1 (pow.f64 N 4))) (*.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (-.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N 1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N 1) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 N N 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 N N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N N 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 N N 1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log1p.f64 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 N N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (*.f64 N N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 N N 1) 1 (+.f64 (*.f64 N N) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) (+.f64 (*.f64 N N) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) (+.f64 (*.f64 N N) (pow.f64 N 4)))))))

simplify181.0ms (2.3%)

Algorithm
egg-herbie
Rules
1226×associate-/l*
1142×associate-*r*
1094×associate-*l*
788×+-commutative
642×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070218446
1232218114
Stop Event
node limit
Counts
326 → 431
Calls
Call 1
Inputs
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 (*.f64 -1 (pow.f64 N 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1)
(*.f64 -1 (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1)
(*.f64 -1 (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1)
1
(+.f64 (*.f64 2 (pow.f64 N 2)) 1)
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4)))
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4)))
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4)))
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4)))
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4)))
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4)))
(+.f64 N (fma.f64 N N 1))
(+.f64 (*.f64 N N) (+.f64 N 1))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 1 (+.f64 (*.f64 (neg.f64 N) -1) (*.f64 N N)))
(+.f64 1 (+.f64 (neg.f64 (neg.f64 N)) (*.f64 N N)))
(+.f64 (fma.f64 N N 1) N)
(+.f64 (fma.f64 N N 1) (*.f64 (neg.f64 N) -1))
(+.f64 (fma.f64 N N 1) (neg.f64 (neg.f64 N)))
(+.f64 (+.f64 N 1) (*.f64 N N))
(+.f64 (*.f64 (/.f64 N (-.f64 N (fma.f64 N N 1))) N) (neg.f64 (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1)))))
(+.f64 (+.f64 N (*.f64 N N)) 1)
(+.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1)))) (*.f64 (/.f64 N (-.f64 N (fma.f64 N N 1))) N))
(+.f64 (-.f64 N 0) (fma.f64 N N 1))
(-.f64 N (-.f64 -1 (*.f64 N N)))
(-.f64 1 (-.f64 (neg.f64 N) (*.f64 N N)))
(-.f64 (fma.f64 N N 1) (neg.f64 N))
(-.f64 (fma.f64 N N 1) (-.f64 1 (+.f64 N 1)))
(-.f64 (+.f64 N 1) (*.f64 N (neg.f64 N)))
(-.f64 (+.f64 N 1) (+.f64 1 (-.f64 -1 (*.f64 N N))))
(-.f64 (+.f64 N 1) (-.f64 1 (fma.f64 N N 1)))
(-.f64 (*.f64 (/.f64 N (-.f64 N (fma.f64 N N 1))) N) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (-.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))) N))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (+.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))) (neg.f64 N)))
(-.f64 (+.f64 (+.f64 2 (*.f64 N N)) N) 1)
(-.f64 (+.f64 N (exp.f64 (log1p.f64 (fma.f64 N N 1)))) 1)
(-.f64 (+.f64 N (/.f64 1 (-.f64 1 (*.f64 N N)))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))))
(-.f64 (+.f64 (fma.f64 N N 1) (+.f64 N 1)) 1)
(-.f64 (-.f64 N (*.f64 N (neg.f64 N))) -1)
(*.f64 1 (fma.f64 N N (+.f64 N 1)))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (/.f64 1 (-.f64 N (fma.f64 N N 1))))
(*.f64 (fma.f64 N N (+.f64 N 1)) 1)
(*.f64 (fma.f64 N N (+.f64 N 1)) (*.f64 (-.f64 N (fma.f64 N N 1)) (/.f64 1 (-.f64 N (fma.f64 N N 1)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (*.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (/.f64 1 (-.f64 N (fma.f64 N N 1)))))
(*.f64 (sqrt.f64 (fma.f64 N N (+.f64 N 1))) (sqrt.f64 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (/.f64 1 (-.f64 N (fma.f64 N N 1)))))
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))
(*.f64 (/.f64 1 (-.f64 N (fma.f64 N N 1))) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)))
(*.f64 (+.f64 (*.f64 N (neg.f64 N)) (pow.f64 (fma.f64 N N 1) 2)) (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N 1))))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 1) (/.f64 (+.f64 N (fma.f64 N N -1)) (-.f64 (pow.f64 (+.f64 N -1) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 1) (/.f64 (+.f64 (pow.f64 (+.f64 N -1) 2) (*.f64 (*.f64 N N) (+.f64 N (fma.f64 N N -1)))) (-.f64 (pow.f64 (+.f64 N -1) 3) (pow.f64 N 6))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 N (fma.f64 N N 1)))) (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (sqrt.f64 (-.f64 N (fma.f64 N N 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N 1))) 2)) (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (-.f64 N (fma.f64 N N 1)))))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (pow.f64 (+.f64 N -1) 2) (pow.f64 N 4))) (+.f64 N (fma.f64 N N -1)))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (pow.f64 (+.f64 N -1) 3) (pow.f64 N 6))) (+.f64 (pow.f64 (+.f64 N -1) 2) (*.f64 (*.f64 N N) (+.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N -1) 2) (pow.f64 N 4))) (*.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 N (fma.f64 N N -1))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N -1) 3) (pow.f64 N 6))) (*.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (+.f64 N -1) 2) (*.f64 (*.f64 N N) (+.f64 N (fma.f64 N N -1))))))
(*.f64 (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N 1))) (+.f64 (*.f64 N (neg.f64 N)) (pow.f64 (fma.f64 N N 1) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N 1))) 2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (-.f64 N (fma.f64 N N 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2) (sqrt.f64 (-.f64 N (fma.f64 N N 1)))) (/.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (sqrt.f64 (-.f64 N (fma.f64 N N 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N 1))) 2)) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))
(*.f64 (/.f64 (fma.f64 N N (+.f64 N 1)) 1) (/.f64 (-.f64 N (fma.f64 N N 1)) (-.f64 N (fma.f64 N N 1))))
(*.f64 (/.f64 (fma.f64 N N (+.f64 N 1)) (sqrt.f64 (-.f64 N (fma.f64 N N 1)))) (/.f64 (-.f64 N (fma.f64 N N 1)) (sqrt.f64 (-.f64 N (fma.f64 N N 1)))))
(*.f64 (/.f64 (fma.f64 N N (+.f64 N 1)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N 1))) 2)) (/.f64 (-.f64 N (fma.f64 N N 1)) (cbrt.f64 (-.f64 N (fma.f64 N N 1)))))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (neg.f64 (-.f64 (pow.f64 (+.f64 N -1) 2) (pow.f64 N 4)))) (neg.f64 (+.f64 N (fma.f64 N N -1))))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (neg.f64 (-.f64 (pow.f64 (+.f64 N -1) 3) (pow.f64 N 6)))) (neg.f64 (+.f64 (pow.f64 (+.f64 N -1) 2) (*.f64 (*.f64 N N) (+.f64 N (fma.f64 N N -1))))))
(*.f64 (/.f64 1 (/.f64 (-.f64 N (fma.f64 N N 1)) (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))) (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))
(*.f64 (/.f64 1 (/.f64 (-.f64 N (fma.f64 N N 1)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2))) (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))
(*.f64 (/.f64 1 (/.f64 (-.f64 N (fma.f64 N N 1)) (fma.f64 N N (+.f64 N 1)))) (-.f64 N (fma.f64 N N 1)))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (fma.f64 N N (+.f64 N 1)))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (*.f64 N N) (*.f64 (-.f64 -1 (*.f64 N N)) (-.f64 -1 (*.f64 N N))))) (fma.f64 N N (+.f64 N 1)))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (pow.f64 (+.f64 N -1) 2) (*.f64 (*.f64 N (neg.f64 N)) (*.f64 N (neg.f64 N))))) (+.f64 N (fma.f64 N N -1)))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 -1 (*.f64 N N)) 3))) (+.f64 (*.f64 N N) (-.f64 (*.f64 (-.f64 -1 (*.f64 N N)) (-.f64 -1 (*.f64 N N))) (*.f64 N (-.f64 -1 (*.f64 N N))))))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (+.f64 N -1) 3) (pow.f64 (*.f64 N (neg.f64 N)) 3))) (+.f64 (pow.f64 (+.f64 N -1) 2) (-.f64 (*.f64 (*.f64 N (neg.f64 N)) (*.f64 N (neg.f64 N))) (*.f64 (+.f64 N -1) (*.f64 N (neg.f64 N))))))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3))) (+.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (*.f64 N (fma.f64 N N 1))))
(*.f64 (/.f64 (fma.f64 N N (+.f64 N 1)) (-.f64 N (fma.f64 N N 1))) (-.f64 N (fma.f64 N N 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2) (-.f64 N (fma.f64 N N 1))) (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))
(*.f64 (/.f64 (+.f64 (*.f64 N (neg.f64 N)) (pow.f64 (fma.f64 N N 1) 2)) (neg.f64 (-.f64 (pow.f64 (+.f64 N -1) 2) (pow.f64 N 4)))) (+.f64 N (fma.f64 N N -1)))
(*.f64 (/.f64 (+.f64 (*.f64 N (neg.f64 N)) (pow.f64 (fma.f64 N N 1) 2)) (neg.f64 (-.f64 (pow.f64 (+.f64 N -1) 3) (pow.f64 N 6)))) (+.f64 (pow.f64 (+.f64 N -1) 2) (*.f64 (*.f64 N N) (+.f64 N (fma.f64 N N -1)))))
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(pow.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))
(exp.f64 (log.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))))
(fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))
(fma.f64 1 (*.f64 N N) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))
(fma.f64 1 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))
(fma.f64 (fma.f64 N N (+.f64 N 1)) (-.f64 N (fma.f64 N N 1)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) 2) (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (neg.f64 (pow.f64 (fma.f64 N N 1) 2))))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (cbrt.f64 (*.f64 N N)) (neg.f64 (pow.f64 (fma.f64 N N 1) 2)))
(+.f64 (*.f64 N N) (+.f64 (fma.f64 N N 1) (pow.f64 N 4)))
(+.f64 (*.f64 N N) (+.f64 1 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1)))
(+.f64 1 (+.f64 (+.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 N 4)))
(+.f64 1 (+.f64 (*.f64 N N) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1)))
(+.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4)))
(+.f64 (fma.f64 N N 1) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1))
(+.f64 (pow.f64 N 4) (+.f64 (*.f64 N N) (fma.f64 N N 1)))
(+.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (fma.f64 N N 1))
(+.f64 (+.f64 (*.f64 N N) (fma.f64 N N 1)) (pow.f64 N 4))
(+.f64 (+.f64 (fma.f64 N N 1) (pow.f64 N 4)) (*.f64 N N))
(+.f64 (+.f64 (+.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 N 4)) 1)
(+.f64 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1) (fma.f64 N N 1))
(-.f64 (fma.f64 N N 1) (-.f64 1 (+.f64 (fma.f64 N N 1) (pow.f64 N 4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (-.f64 1 (+.f64 (*.f64 N N) (pow.f64 N 4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (-.f64 1 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N N 1) 2))) 1)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))) (+.f64 (*.f64 N N) (pow.f64 N 4))))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 1)))
(-.f64 (+.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (exp.f64 (log1p.f64 (fma.f64 N N 1)))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 1 (*.f64 N N)))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 4))) (*.f64 (-.f64 1 (*.f64 N N)) (-.f64 1 (*.f64 N N))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (+.f64 1 (pow.f64 N 6))) (*.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))))
(/.f64 (*.f64 (fma.f64 N N 1) (-.f64 1 (pow.f64 N 4))) (-.f64 1 (*.f64 N N)))
(/.f64 (*.f64 (fma.f64 N N 1) (+.f64 1 (pow.f64 N 6))) (-.f64 (pow.f64 N 4) (fma.f64 N N -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (fma.f64 N N 1)) (-.f64 1 (*.f64 N N)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (fma.f64 N N 1)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (*.f64 N N) (pow.f64 N 4)))) (-.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 3)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (*.f64 N N) (pow.f64 N 4))) (*.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (+.f64 1 (pow.f64 N 6))) (*.f64 (-.f64 1 (*.f64 N N)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 1 (pow.f64 N 4))) (*.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (-.f64 1 (*.f64 N N))))
(pow.f64 (fma.f64 N N 1) 2)
(pow.f64 (pow.f64 (fma.f64 N N 1) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 N N 1) 6) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 N N 1) 4))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N N 1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N N 1) 2))))
(cbrt.f64 (pow.f64 (fma.f64 N N 1) 6))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N N 1) 2)))
(exp.f64 (*.f64 2 (log1p.f64 (*.f64 N N))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 N N)) 2))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (*.f64 N N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N N 1) 2)))
(fma.f64 1 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4)))
(fma.f64 (fma.f64 N N 1) 1 (+.f64 (*.f64 N N) (pow.f64 N 4)))
(fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) (+.f64 (*.f64 N N) (pow.f64 N 4)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) (+.f64 (*.f64 N N) (pow.f64 N 4)))
Outputs
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (fma.f64 N N 1))
-1
(-.f64 (*.f64 -1 (pow.f64 N 2)) 1)
(fma.f64 -1 (*.f64 N N) -1)
(-.f64 -1 (*.f64 N N))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1)
(+.f64 (neg.f64 (fma.f64 N N (pow.f64 N 4))) -1)
(+.f64 -1 (neg.f64 (fma.f64 N N (pow.f64 N 4))))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1)
(+.f64 (neg.f64 (fma.f64 N N (pow.f64 N 4))) -1)
(+.f64 -1 (neg.f64 (fma.f64 N N (pow.f64 N 4))))
(*.f64 -1 (pow.f64 N 4))
(neg.f64 (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2)))
(neg.f64 (fma.f64 N N (pow.f64 N 4)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1)
(+.f64 (neg.f64 (fma.f64 N N (pow.f64 N 4))) -1)
(+.f64 -1 (neg.f64 (fma.f64 N N (pow.f64 N 4))))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1)
(+.f64 (neg.f64 (fma.f64 N N (pow.f64 N 4))) -1)
(+.f64 -1 (neg.f64 (fma.f64 N N (pow.f64 N 4))))
(*.f64 -1 (pow.f64 N 4))
(neg.f64 (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2)))
(neg.f64 (fma.f64 N N (pow.f64 N 4)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1)
(+.f64 (neg.f64 (fma.f64 N N (pow.f64 N 4))) -1)
(+.f64 -1 (neg.f64 (fma.f64 N N (pow.f64 N 4))))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 2))) 1)
(+.f64 (neg.f64 (fma.f64 N N (pow.f64 N 4))) -1)
(+.f64 -1 (neg.f64 (fma.f64 N N (pow.f64 N 4))))
1
(+.f64 (*.f64 2 (pow.f64 N 2)) 1)
(fma.f64 2 (*.f64 N N) 1)
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4)))
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4)))
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4)))
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4)))
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 2)) (pow.f64 N 4))
(fma.f64 2 (*.f64 N N) (pow.f64 N 4))
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4)))
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4)))
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4)))
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4)))
(pow.f64 N 4)
(+.f64 (*.f64 2 (pow.f64 N 2)) (pow.f64 N 4))
(fma.f64 2 (*.f64 N N) (pow.f64 N 4))
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4)))
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4)))
(+.f64 (*.f64 2 (pow.f64 N 2)) (+.f64 1 (pow.f64 N 4)))
(+.f64 1 (fma.f64 2 (*.f64 N N) (pow.f64 N 4)))
(+.f64 N (fma.f64 N N 1))
(+.f64 (*.f64 N N) (+.f64 N 1))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (+.f64 (*.f64 (neg.f64 N) -1) (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (+.f64 (neg.f64 (neg.f64 N)) (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) N)
(+.f64 N (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) (*.f64 (neg.f64 N) -1))
(+.f64 N (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) (neg.f64 (neg.f64 N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 (+.f64 N 1) (*.f64 N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 (*.f64 (/.f64 N (-.f64 N (fma.f64 N N 1))) N) (neg.f64 (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1)))))
(-.f64 (*.f64 N (/.f64 N (-.f64 N (fma.f64 N N 1)))) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1))))
(-.f64 (/.f64 N (/.f64 (-.f64 N (fma.f64 N N 1)) N)) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1))))
(+.f64 (+.f64 N (*.f64 N N)) 1)
(+.f64 N (fma.f64 N N 1))
(+.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1)))) (*.f64 (/.f64 N (-.f64 N (fma.f64 N N 1))) N))
(-.f64 (*.f64 N (/.f64 N (-.f64 N (fma.f64 N N 1)))) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1))))
(-.f64 (/.f64 N (/.f64 (-.f64 N (fma.f64 N N 1)) N)) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1))))
(+.f64 (-.f64 N 0) (fma.f64 N N 1))
(+.f64 N (fma.f64 N N 1))
(-.f64 N (-.f64 -1 (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(-.f64 1 (-.f64 (neg.f64 N) (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(-.f64 (fma.f64 N N 1) (neg.f64 N))
(+.f64 N (fma.f64 N N 1))
(-.f64 (fma.f64 N N 1) (-.f64 1 (+.f64 N 1)))
(+.f64 N (fma.f64 N N 1))
(-.f64 (+.f64 N 1) (*.f64 N (neg.f64 N)))
(+.f64 N (fma.f64 N N 1))
(-.f64 (+.f64 N 1) (+.f64 1 (-.f64 -1 (*.f64 N N))))
(+.f64 N (fma.f64 N N 1))
(-.f64 (+.f64 N 1) (-.f64 1 (fma.f64 N N 1)))
(+.f64 N (fma.f64 N N 1))
(-.f64 (*.f64 (/.f64 N (-.f64 N (fma.f64 N N 1))) N) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1))))
(-.f64 (*.f64 N (/.f64 N (-.f64 N (fma.f64 N N 1)))) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1))))
(-.f64 (/.f64 N (/.f64 (-.f64 N (fma.f64 N N 1)) N)) (/.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 N (fma.f64 N N 1))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (-.f64 1 N))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) 1) N)
(+.f64 N (-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) 1)
(+.f64 N (fma.f64 N N 1))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))) N))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))) N)
(+.f64 N (-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (+.f64 (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))) (neg.f64 N)))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))) N)
(+.f64 N (-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))))
(-.f64 (+.f64 (+.f64 2 (*.f64 N N)) N) 1)
(+.f64 N (fma.f64 N N 1))
(-.f64 (+.f64 N (exp.f64 (log1p.f64 (fma.f64 N N 1)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) 1) N)
(+.f64 N (-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) 1))
(-.f64 (+.f64 N (/.f64 1 (-.f64 1 (*.f64 N N)))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))) N)
(+.f64 N (-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))))
(-.f64 (+.f64 (fma.f64 N N 1) (+.f64 N 1)) 1)
(+.f64 N (fma.f64 N N 1))
(-.f64 (-.f64 N (*.f64 N (neg.f64 N))) -1)
(+.f64 N (fma.f64 N N 1))
(*.f64 1 (fma.f64 N N (+.f64 N 1)))
(+.f64 N (fma.f64 N N 1))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (/.f64 1 (-.f64 N (fma.f64 N N 1))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))
(*.f64 (fma.f64 N N (+.f64 N 1)) 1)
(+.f64 N (fma.f64 N N 1))
(*.f64 (fma.f64 N N (+.f64 N 1)) (*.f64 (-.f64 N (fma.f64 N N 1)) (/.f64 1 (-.f64 N (fma.f64 N N 1)))))
(+.f64 N (fma.f64 N N 1))
(*.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (*.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (/.f64 1 (-.f64 N (fma.f64 N N 1)))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))
(*.f64 (sqrt.f64 (fma.f64 N N (+.f64 N 1))) (sqrt.f64 (fma.f64 N N (+.f64 N 1))))
(+.f64 N (fma.f64 N N 1))
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(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))
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(-.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2))
(-.f64 (fma.f64 N N (pow.f64 (fma.f64 N N 1) 2)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))
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(-.f64 (fma.f64 N N (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 4)) (pow.f64 (fma.f64 N N 1) 2))) (pow.f64 (fma.f64 N N 1) 2))
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(-.f64 (fma.f64 N N (*.f64 2 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (pow.f64 (fma.f64 N N 1) 2)))) (pow.f64 (fma.f64 N N 1) 2))
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(+.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (fma.f64 N N (pow.f64 N 4)) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))))
(-.f64 (+.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (exp.f64 (log1p.f64 (fma.f64 N N 1)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) 1) (fma.f64 N N (pow.f64 N 4)))
(+.f64 -1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 N N 1))) (fma.f64 N N (pow.f64 N 4))))
(-.f64 (+.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 1 (*.f64 N N)))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N))))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))) (fma.f64 N N (pow.f64 N 4)))
(+.f64 (/.f64 1 (-.f64 1 (*.f64 N N))) (-.f64 (fma.f64 N N (pow.f64 N 4)) (/.f64 (pow.f64 N 4) (-.f64 1 (*.f64 N N)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (pow.f64 N 4))) (*.f64 (-.f64 1 (*.f64 N N)) (-.f64 1 (*.f64 N N))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N))) (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (+.f64 1 (pow.f64 N 6))) (*.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))))
(/.f64 (*.f64 (fma.f64 N N 1) (-.f64 1 (pow.f64 N 4))) (-.f64 1 (*.f64 N N)))
(/.f64 (fma.f64 N N 1) (/.f64 (-.f64 1 (*.f64 N N)) (-.f64 1 (pow.f64 N 4))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N))) (fma.f64 N N 1))
(/.f64 (*.f64 (fma.f64 N N 1) (+.f64 1 (pow.f64 N 6))) (-.f64 (pow.f64 N 4) (fma.f64 N N -1)))
(/.f64 (fma.f64 N N 1) (/.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (+.f64 1 (pow.f64 N 6))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) (fma.f64 N N 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (fma.f64 N N 1)) (-.f64 1 (*.f64 N N)))
(/.f64 (fma.f64 N N 1) (/.f64 (-.f64 1 (*.f64 N N)) (-.f64 1 (pow.f64 N 4))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N))) (fma.f64 N N 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (fma.f64 N N 1)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1)))
(/.f64 (fma.f64 N N 1) (/.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (+.f64 1 (pow.f64 N 6))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) (fma.f64 N N 1))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (*.f64 N N) (pow.f64 N 4)))) (-.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 (fma.f64 N N (pow.f64 N 4)) (fma.f64 N N (pow.f64 N 4)))) (-.f64 (fma.f64 N N 1) (fma.f64 N N (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) 3)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (-.f64 (*.f64 (+.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (*.f64 N N) (pow.f64 N 4))) (*.f64 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 (fma.f64 N N (pow.f64 N 4)) 3)) (+.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 (fma.f64 N N (pow.f64 N 4)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (fma.f64 N N 1)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 4)) (+.f64 1 (pow.f64 N 6))) (*.f64 (-.f64 1 (*.f64 N N)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N))))
(/.f64 (-.f64 1 (pow.f64 N 4)) (/.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 1 (*.f64 N N)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 1 (pow.f64 N 4))) (*.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (-.f64 1 (*.f64 N N))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (fma.f64 N N -1))) (/.f64 (-.f64 1 (pow.f64 N 4)) (-.f64 1 (*.f64 N N))))
(/.f64 (-.f64 1 (pow.f64 N 4)) (/.f64 (-.f64 (pow.f64 N 4) (fma.f64 N N -1)) (/.f64 (+.f64 1 (pow.f64 N 6)) (-.f64 1 (*.f64 N N)))))
(pow.f64 (fma.f64 N N 1) 2)
(pow.f64 (pow.f64 (fma.f64 N N 1) 2) 1)
(pow.f64 (fma.f64 N N 1) 2)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) 3)
(pow.f64 (fma.f64 N N 1) 2)
(pow.f64 (pow.f64 (fma.f64 N N 1) 6) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 N N 1) 6))
(sqrt.f64 (pow.f64 (fma.f64 N N 1) 4))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N N 1) 2)))
(pow.f64 (fma.f64 N N 1) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N N 1) 2))))
(pow.f64 (fma.f64 N N 1) 2)
(cbrt.f64 (pow.f64 (fma.f64 N N 1) 6))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N N 1) 2)))
(pow.f64 (fma.f64 N N 1) 2)
(exp.f64 (*.f64 2 (log1p.f64 (*.f64 N N))))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 N N))) 2)
(pow.f64 (exp.f64 2) (log1p.f64 (*.f64 N N)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 N N)) 2))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 N N))) 2)
(pow.f64 (exp.f64 2) (log1p.f64 (*.f64 N N)))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (*.f64 N N))) 1))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 N N))) 2)
(pow.f64 (exp.f64 2) (log1p.f64 (*.f64 N N)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N N 1) 2)))
(pow.f64 (fma.f64 N N 1) 2)
(fma.f64 1 (fma.f64 N N 1) (+.f64 (*.f64 N N) (pow.f64 N 4)))
(fma.f64 1 (fma.f64 N N 1) (fma.f64 N N (pow.f64 N 4)))
(fma.f64 (fma.f64 N N 1) 1 (+.f64 (*.f64 N N) (pow.f64 N 4)))
(fma.f64 1 (fma.f64 N N 1) (fma.f64 N N (pow.f64 N 4)))
(fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) (+.f64 (*.f64 N N) (pow.f64 N 4)))
(fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) (fma.f64 N N (pow.f64 N 4)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) (+.f64 (*.f64 N N) (pow.f64 N 4)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) (fma.f64 N N (pow.f64 N 4)))

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 N N (+.f64 1 N))
0.5b
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
0.6b
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)
9.0b
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
Compiler

Compiled 42 to 28 computations (33.3% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite77.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
816×*-commutative
664×unswap-sqr
498×swap-sqr
424×distribute-lft-in
414×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01269
124469
2263469
Stop Event
node limit
Counts
3 → 94
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
Outputs
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simplify146.0ms (1.8%)

Algorithm
egg-herbie
Rules
1096×associate-+r+
1048×associate-+l+
1012×associate-/r*
748×distribute-lft-in
746×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01505144
13654300
213564132
342824132
Stop Event
node limit
Counts
130 → 92
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 3)
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 2/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))) 1)
(*.f64 1 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) 3))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1)
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) 3) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)) (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2)))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2)) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/4) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2)))
(*.f64 (*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6))) (*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 3) 1/6))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 3/4))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))) (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))) 1))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 6))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)))
(exp.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)))
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/2))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 2/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
Outputs
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
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(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (*.f64 (cbrt.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 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (*.f64 (cbrt.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 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 2/3)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 1/6) 4)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 N N (+.f64 1 N))
0.2b
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
0.5b
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
14.7b
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
Compiler

Compiled 41 to 27 computations (34.1% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
N
@0
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
1.0ms
N
@inf
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
1.0ms
N
@-inf
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
1.0ms
N
@-inf
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
1.0ms
N
@inf
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)

rewrite72.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
816×*-commutative
664×unswap-sqr
498×swap-sqr
424×distribute-lft-in
414×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
124446
2263446
Stop Event
node limit
Counts
2 → 64
Calls
Call 1
Inputs
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N 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N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))

simplify70.0ms (0.9%)

Algorithm
egg-herbie
Rules
1340×associate-+r+
1246×associate-+l+
1108×associate-/r*
718×associate-/l*
590×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01513700
13642796
212892692
333022692
Stop Event
node limit
Counts
88 → 97
Calls
Call 1
Inputs
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) -1)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)) (*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3/4) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3/2)))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
Outputs
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) -1)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6)))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3/2))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(pow.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/6) 4)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))))
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(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/6)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/6) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/4))
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 3/2)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/6))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (+.f64 1 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

eval618.0ms (7.7%)

Compiler

Compiled 33917 to 21525 computations (36.5% saved)

prune537.0ms (6.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1001101011
Fresh101
Picked101
Done314
Total1006111017
Error
0.5b
Counts
1017 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
1.9b
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) 3)
29.3b
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
21.7b
(atan2.f64 1 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))))
21.6b
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
21.6b
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))))
0.5b
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
28.1b
(atan2.f64 1 (+.f64 N 1))
29.1b
(atan2.f64 1 (*.f64 N N))
2.2b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
5.7b
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)))
37.4b
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
Compiler

Compiled 370 to 257 computations (30.5% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
0.5b
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
14.7b
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
14.9b
(cbrt.f64 (fma.f64 N N (+.f64 1 N)))
Compiler

Compiled 66 to 46 computations (30.3% saved)

series9.0ms (0.1%)

Counts
4 → 32
Calls

12 calls:

TimeVariablePointExpression
2.0ms
N
@0
(cbrt.f64 (fma.f64 N N (+.f64 1 N)))
1.0ms
N
@-inf
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
1.0ms
N
@inf
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
1.0ms
N
@0
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
1.0ms
N
@inf
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)

rewrite82.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
880×*-commutative
716×unswap-sqr
532×swap-sqr
452×distribute-lft-in
442×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01380
126080
2280580
Stop Event
node limit
Counts
4 → 146
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 N N (+.f64 1 N)))
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6)) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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#<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 N N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 N N (+.f64 N 1))))))

simplify89.0ms (1.1%)

Algorithm
egg-herbie
Rules
1174×fma-def
714×associate-*r*
654×associate-*l*
490×associate-+l+
432×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03367738
18585554
233715304
Stop Event
node limit
Counts
178 → 228
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/3 N) 1)
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) 1))
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3)))))
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3)
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3)
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 1)
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) 3/2))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6)) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))) (cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) 1))
(pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 1)
(pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3)
(pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 2/3)
(pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 3/2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))
(+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) -1)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2)))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6))) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) (*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) 1/6) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 N 1)))))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 (+.f64 N 1) (*.f64 N N))
(+.f64 (*.f64 N N) (+.f64 N 1))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) -1)
(+.f64 (+.f64 1 (*.f64 N N)) N)
(+.f64 (+.f64 N (*.f64 N N)) 1)
(+.f64 (*.f64 1 (+.f64 1 (*.f64 N N))) N)
(+.f64 (*.f64 (+.f64 N (*.f64 N N)) 1) 1)
(+.f64 (*.f64 (+.f64 1 (*.f64 N N)) 1) N)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 N))) (-.f64 1 (*.f64 N N)))
(-.f64 (/.f64 1 (-.f64 1 N)) (-.f64 (/.f64 N (/.f64 (-.f64 1 N) N)) (*.f64 N N)))
(-.f64 (+.f64 (+.f64 2 N) (*.f64 N N)) 1)
(-.f64 (+.f64 (*.f64 N N) (exp.f64 (log.f64 (+.f64 2 N)))) 1)
(-.f64 (+.f64 (*.f64 N N) (/.f64 1 (-.f64 1 N))) (/.f64 N (/.f64 (-.f64 1 N) N)))
(*.f64 1 (fma.f64 N N (+.f64 N 1)))
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))
(*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) 3))
(*.f64 (fma.f64 N N (+.f64 N 1)) 1)
(*.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))))
(*.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) (*.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))))
(*.f64 (*.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)))
(*.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (/.f64 1 (-.f64 (*.f64 N N) (+.f64 N 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (*.f64 N N) 3)) (/.f64 1 (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (-.f64 (+.f64 N 1) (*.f64 N N))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2)) 3) (cbrt.f64 (fma.f64 N N (+.f64 N 1))))
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (fma.f64 N N (+.f64 N 1)))
(*.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6)) (cbrt.f64 (fma.f64 N N (+.f64 N 1)))) (*.f64 (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6)) (cbrt.f64 (fma.f64 N N (+.f64 N 1)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4) (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4) (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2) (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))))) (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2) (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))))))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4)) (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4)) (*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4)))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2)) (*.f64 (sqrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 3/4) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/6) 3/2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6))) (*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 3/4))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 3) 1/6))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (*.f64 N N) (+.f64 N 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (*.f64 N N) 3)) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (-.f64 (+.f64 N 1) (*.f64 N N)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (-.f64 (*.f64 N N) (+.f64 N 1)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (*.f64 N N) 3))) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (-.f64 (+.f64 N 1) (*.f64 N N)))))
(/.f64 (*.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) 1) (-.f64 (*.f64 N N) (+.f64 N 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (*.f64 N N) 3)) 1) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (-.f64 (+.f64 N 1) (*.f64 N N)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N)))) (-.f64 1 (+.f64 N (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) 1) (-.f64 (+.f64 N (*.f64 N N)) 1))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N))) (*.f64 N N)) (+.f64 (*.f64 N N) (-.f64 1 N)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) 1))
(sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 2))
(log.f64 (exp.f64 (fma.f64 N N (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1))))
(exp.f64 (log.f64 (fma.f64 N N (+.f64 N 1))))
(log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 N 1))))
(fma.f64 N N (+.f64 N 1))
Outputs
1
(+.f64 (*.f64 1/3 N) 1)
(fma.f64 1/3 N 1)
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) 1))
(fma.f64 1/3 N (fma.f64 2/9 (*.f64 N N) 1))
(fma.f64 1/3 N (fma.f64 N (*.f64 N 2/9) 1))
(+.f64 (*.f64 1/3 N) (+.f64 (*.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3)))))
(fma.f64 1/3 N (+.f64 (fma.f64 2/9 (*.f64 N N) 1) (*.f64 -13/81 (pow.f64 N 3))))
(fma.f64 1/3 N (fma.f64 2/9 (*.f64 N N) (fma.f64 -13/81 (pow.f64 N 3) 1)))
(fma.f64 1/3 N (fma.f64 N (*.f64 N 2/9) (fma.f64 -13/81 (pow.f64 N 3) 1)))
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 1/3) 3)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (pow.f64 (pow.f64 (fma.f64 N N (-.f64 1 (*.f64 -1 N))) 1/3) 3)) 1/3)
(cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))
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(*.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 1/6) 3) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3/2))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6))) (*.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (*.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (*.f64 (cbrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (cbrt.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))))))
(*.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) (pow.f64 (pow.f64 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N))) 1/6) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 N 1))) 2) 3/4))
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) 3/2)
(pow.f64 (exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 2/3)) 3/2)
(*.f64 (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 3) 1/6))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) (-.f64 (*.f64 N N) (+.f64 N 1)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))
(/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (*.f64 N N) 3)) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (-.f64 (+.f64 N 1) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (*.f64 N N) 3)) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N)) (pow.f64 N 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 1 (fma.f64 N N (neg.f64 N))) (pow.f64 N 4)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (-.f64 (*.f64 N N) (+.f64 N 1)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (*.f64 N N) 3))) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (-.f64 (+.f64 N 1) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (*.f64 N N) 3)) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N)) (pow.f64 N 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 1 (fma.f64 N N (neg.f64 N))) (pow.f64 N 4)))
(/.f64 (*.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2)) 1) (-.f64 (*.f64 N N) (+.f64 N 1)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (*.f64 N N) 3)) 1) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (-.f64 (+.f64 N 1) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (*.f64 N N) 3)) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 (+.f64 1 N) (*.f64 N N)) (pow.f64 N 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 6)) (fma.f64 (+.f64 1 N) (-.f64 1 (fma.f64 N N (neg.f64 N))) (pow.f64 N 4)))
(/.f64 (-.f64 1 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N)))) (-.f64 1 (+.f64 N (*.f64 N N))))
(/.f64 (-.f64 1 (*.f64 (*.f64 (+.f64 1 N) N) (*.f64 (+.f64 1 N) N))) (-.f64 1 (*.f64 (+.f64 1 N) N)))
(/.f64 (-.f64 1 (*.f64 (fma.f64 N N N) (fma.f64 N N N))) (-.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 (+.f64 1 N) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 1 (fma.f64 N N (neg.f64 N))))
(/.f64 (-.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) 1) (-.f64 (+.f64 N (*.f64 N N)) 1))
(/.f64 (fma.f64 (*.f64 (+.f64 1 N) N) (*.f64 (+.f64 1 N) N) -1) (+.f64 (*.f64 (+.f64 1 N) N) -1))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) -1) (+.f64 N (fma.f64 N N -1)))
(/.f64 (+.f64 1 (fma.f64 N N N)) 1)
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N))) (*.f64 N N)) (+.f64 (*.f64 N N) (-.f64 1 N)))
(/.f64 (fma.f64 (*.f64 (+.f64 1 N) N) (*.f64 (+.f64 1 N) N) -1) (+.f64 (*.f64 (+.f64 1 N) N) -1))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) -1) (+.f64 N (fma.f64 N N -1)))
(/.f64 (+.f64 1 (fma.f64 N N N)) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))) (fma.f64 N N (+.f64 1 N))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (+.f64 1 (fma.f64 N N N))))) (+.f64 1 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 2))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (exp.f64 (fma.f64 N N (+.f64 N 1))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N (+.f64 N 1)))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 N 1)) 3))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 N 1))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(exp.f64 (log.f64 (fma.f64 N N (+.f64 N 1))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 N 1))))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 N 1))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.5b
(atan2.f64 1 (*.f64 N N))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite43.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
930×add-sqr-sqrt
918×*-un-lft-identity
868×pow1
846×add-cube-cbrt
838×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
111113
2121613
Stop Event
node limit
Counts
1 → 16
Calls
Call 1
Inputs
(atan2.f64 1 (*.f64 N N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))))))

simplify56.0ms (0.7%)

Algorithm
egg-herbie
Rules
1150×associate-/r*
914×*-commutative
688×associate-*r/
636×associate-*r*
484×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038364
175364
2371364
31705364
43941364
55860364
Stop Event
node limit
Counts
28 → 18
Calls
Call 1
Inputs
(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 (atan2.f64 1 (*.f64 N N))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(*.f64 (atan2.f64 1 (*.f64 N N)) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(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)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.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))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
Outputs
(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))
(-.f64 (+.f64 1 (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 (atan2.f64 1 (*.f64 N N)) 1)
(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 (atan2.f64 1 (*.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))
(atan2.f64 1 (*.f64 N N))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(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)) 3) 1/3)
(atan2.f64 1 (*.f64 N N))
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(atan2.f64 1 (*.f64 N N))
(log.f64 (exp.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))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))

localize62.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))
0.5b
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))))
15.5b
(-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N))))
18.4b
(/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N)))
Compiler

Compiled 96 to 44 computations (54.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite80.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1706×associate-/r/
676×associate-+l+
424×+-commutative
342×associate-+r+
336×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01361
131721
2498721
Stop Event
node limit
Counts
1 → 18
Calls
Call 1
Inputs
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))

simplify60.0ms (0.8%)

Algorithm
egg-herbie
Rules
844×distribute-lft-in
778×associate-*r*
752×distribute-rgt-in
654×fma-def
596×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0561142
11171030
24941030
32436806
47150806
Stop Event
node limit
Counts
30 → 30
Calls
Call 1
Inputs
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))))
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))))
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))))
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
Outputs
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1))))
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1))))
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1))))
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1))))
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1))))
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1))))
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1))))
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (-.f64 N (+.f64 1 (pow.f64 N 2)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (-.f64 N (+.f64 1 (*.f64 N N)))))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1))))
(atan2.f64 1 (/.f64 (+.f64 1 (fma.f64 N N N)) 1))
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))))
(atan2.f64 1 (neg.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (+.f64 1 (+.f64 (*.f64 N N) (neg.f64 N))))))
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))))
(atan2.f64 1 (neg.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (+.f64 1 (+.f64 (*.f64 N N) (neg.f64 N))))))
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))))
(atan2.f64 1 (neg.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (+.f64 1 (+.f64 (*.f64 N N) (neg.f64 N))))))
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (+.f64 1 (pow.f64 N 2)) 2)) (+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N))))))
(atan2.f64 1 (neg.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1 (*.f64 N N)) 2)) (+.f64 1 (+.f64 (*.f64 N N) (neg.f64 N))))))
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (-.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2))) (fma.f64 N N (-.f64 1 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N N)) (fma.f64 N N (-.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 N (*.f64 N N))
0.5b
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
15.5b
(-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))
18.4b
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))
Compiler

Compiled 76 to 45 computations (40.8% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
N
@0
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))
0.0ms
N
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))
0.0ms
N
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))
0.0ms
N
@-inf
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
0.0ms
N
@inf
(-.f64 N (*.f64 N N))

rewrite140.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1242×associate-/r/
898×associate-/l/
430×associate-+l+
356×add-sqr-sqrt
350×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015142
1352134
25053134
Stop Event
node limit
Counts
4 → 252
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N))))
(-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(-.f64 N (*.f64 N N))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (neg.f64 N)) 3)) (-.f64 (+.f64 (*.f64 N N) (*.f64 (*.f64 N (neg.f64 N)) (*.f64 N (neg.f64 N)))) (*.f64 N (*.f64 N (neg.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (+.f64 N (*.f64 N N)) (+.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 8) (pow.f64 N 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 N 6) 3)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (pow.f64 N 3) (pow.f64 N 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 4))) (neg.f64 (+.f64 N (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 N (-.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 N (-.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 N (-.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 N (-.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (*.f64 N (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N (neg.f64 N)))))))

simplify162.0ms (2%)

Algorithm
egg-herbie
Rules
1020×associate-*r*
916×associate-*l*
780×associate-/l*
730×distribute-lft-in
670×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066315916
1204315090
Stop Event
node limit
Counts
300 → 404
Calls
Call 1
Inputs
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 2 N))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 N 4)) (+.f64 (pow.f64 N 2) (*.f64 2 N))))
(*.f64 -1 (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 2 N)))
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 2 N))))
(*.f64 -1 (pow.f64 N 4))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 N 4)))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 2 N)))
(+.f64 1 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 2 N))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (+.f64 N 1) (pow.f64 N 2))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 -1 N)) 2) (pow.f64 N 4)) (-.f64 1 (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
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)))
(+.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))))
(-.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (-.f64 N (fma.f64 N N -1))) (/.f64 (pow.f64 N 4) (-.f64 N (fma.f64 N N -1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 1)
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))
(*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 1 (-.f64 N (fma.f64 N N -1))))
(*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 (fma.f64 N N (-.f64 1 N)) (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (/.f64 (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N))) (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (/.f64 1 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (/.f64 1 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 1 (-.f64 N (fma.f64 N N -1))) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N -1))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2))) (fma.f64 N N (-.f64 1 N)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3))) (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2))) (*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3))) (*.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N)))))
(*.f64 (/.f64 1 (+.f64 (neg.f64 N) (fma.f64 N N -1))) (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (-.f64 N (fma.f64 N N -1))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (-.f64 N (fma.f64 N N -1))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (-.f64 N (fma.f64 N N -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (sqrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)))) (neg.f64 (fma.f64 N N (-.f64 1 N))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (neg.f64 (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 N (fma.f64 N N -1)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(*.f64 (/.f64 1 (/.f64 (-.f64 N (fma.f64 N N -1)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (+.f64 N (+.f64 1 (*.f64 N N))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) 1)) (-.f64 (*.f64 N (-.f64 1 N)) 1))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 6))) (+.f64 (pow.f64 (+.f64 N 1) 2) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 N 1) (*.f64 N N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2) (-.f64 N (fma.f64 N N -1))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (neg.f64 (-.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 2)))) (fma.f64 N N (-.f64 1 N)))
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) (neg.f64 (+.f64 1 (pow.f64 (*.f64 N (-.f64 1 N)) 3)))) (+.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2) (fma.f64 N N (-.f64 1 N))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 N 12))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 N 8) (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (pow.f64 (+.f64 N 1) 4))))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 4) (*.f64 (neg.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 N 4)))) (-.f64 (pow.f64 (+.f64 N 1) 2) (neg.f64 (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 4) (*.f64 (neg.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 N 4)))) (*.f64 1 (-.f64 (pow.f64 (+.f64 N 1) 2) (neg.f64 (pow.f64 N 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 (+.f64 N 1) 6)) (*.f64 (pow.f64 N 12) (pow.f64 N 12))) (*.f64 (+.f64 (pow.f64 N 8) (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (pow.f64 (+.f64 N 1) 4))) (+.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 N 12))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 (+.f64 N 1) 4)) (*.f64 (pow.f64 N 8) (pow.f64 N 8))) (*.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 (pow.f64 N 8) (pow.f64 (+.f64 N 1) 4))))
(/.f64 (+.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 (neg.f64 (pow.f64 N 4)) 3)) (+.f64 (pow.f64 (+.f64 N 1) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 N 4))) (*.f64 (pow.f64 (+.f64 N 1) 2) (neg.f64 (pow.f64 N 4))))))
(/.f64 (+.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 (neg.f64 (pow.f64 N 4)) 3)) (*.f64 1 (+.f64 (pow.f64 (+.f64 N 1) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 N 4)) (neg.f64 (pow.f64 N 4))) (*.f64 (pow.f64 (+.f64 N 1) 2) (neg.f64 (pow.f64 N 4)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 6) 3) (pow.f64 (pow.f64 N 12) 3)) (*.f64 (+.f64 (pow.f64 N 8) (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (pow.f64 (+.f64 N 1) 4))) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 (+.f64 N 1) 6)) (*.f64 (pow.f64 N 12) (pow.f64 N 12))) (*.f64 (pow.f64 (+.f64 N 1) 6) (pow.f64 N 12)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1) 4) 3) (pow.f64 (pow.f64 N 8) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 (+.f64 N 1) 4)) (+.f64 (*.f64 (pow.f64 N 8) (pow.f64 N 8)) (*.f64 (pow.f64 (+.f64 N 1) 4) (pow.f64 N 8))))))
(pow.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))
(fma.f64 1 (pow.f64 (+.f64 N 1) 2) (neg.f64 (pow.f64 N 4)))
(fma.f64 (+.f64 N 1) (+.f64 N 1) (neg.f64 (pow.f64 N 4)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 4)) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (neg.f64 (pow.f64 N 4)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))) 1)
(*.f64 1 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(*.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) (sqrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 2) (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 2))
(log.f64 (exp.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(exp.f64 (log.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(+.f64 N (*.f64 N (neg.f64 N)))
(+.f64 N (*.f64 (*.f64 N (neg.f64 N)) 1))
(+.f64 N (+.f64 (*.f64 N (neg.f64 N)) (fma.f64 (neg.f64 N) N (*.f64 N N))))
(+.f64 N (+.f64 (*.f64 (*.f64 N (neg.f64 N)) 1) (fma.f64 (neg.f64 N) N (*.f64 N N))))
(+.f64 N (+.f64 (*.f64 N (neg.f64 N)) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N))))
(+.f64 N (+.f64 (*.f64 (*.f64 N (neg.f64 N)) 1) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N))))
(+.f64 N (+.f64 (*.f64 N (neg.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(+.f64 N (+.f64 (*.f64 (*.f64 N (neg.f64 N)) 1) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(+.f64 N (-.f64 (-.f64 0 (fma.f64 N N -1)) 1))
(+.f64 N (-.f64 (-.f64 1 (*.f64 N N)) 1))
(+.f64 1 (-.f64 (*.f64 N (-.f64 1 N)) 1))
(+.f64 (+.f64 N 1) (-.f64 (*.f64 N (neg.f64 N)) 1))
(+.f64 (*.f64 N (-.f64 1 N)) 0)
(+.f64 (*.f64 N (-.f64 1 N)) (fma.f64 (neg.f64 N) N (*.f64 N N)))
(+.f64 (*.f64 N (-.f64 1 N)) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)))
(+.f64 (*.f64 N (-.f64 1 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) (fma.f64 (neg.f64 N) N (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) (fma.f64 (neg.f64 N) N (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (fma.f64 (neg.f64 N) N (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(+.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) 1))
(+.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) 1))
(+.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) 1))
(+.f64 (*.f64 N (neg.f64 N)) N)
(+.f64 (*.f64 N (neg.f64 N)) (+.f64 N (fma.f64 (neg.f64 N) N (*.f64 N N))))
(+.f64 (*.f64 N (neg.f64 N)) (+.f64 N (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N))))
(+.f64 (*.f64 N (neg.f64 N)) (+.f64 N (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(+.f64 (*.f64 (*.f64 N (neg.f64 N)) 1) N)
(+.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) (*.f64 N (-.f64 1 N)))
(+.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) (*.f64 N (-.f64 1 N)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (*.f64 N (-.f64 1 N)))
(+.f64 (-.f64 N (exp.f64 (log1p.f64 (*.f64 N N)))) 1)
(*.f64 N (-.f64 1 N))
(*.f64 1 (*.f64 N (-.f64 1 N)))
(*.f64 (*.f64 N (-.f64 1 N)) 1)
(*.f64 (sqrt.f64 (*.f64 N (-.f64 1 N))) (sqrt.f64 (*.f64 N (-.f64 1 N))))
(*.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) 2) (cbrt.f64 (*.f64 N (-.f64 1 N))))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (+.f64 N (*.f64 N N))))
(*.f64 (-.f64 1 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 N (sqrt.f64 N)) (-.f64 (sqrt.f64 N) N))
(*.f64 (/.f64 1 (+.f64 N (*.f64 N N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))
(*.f64 (/.f64 1 (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 (*.f64 N N) (pow.f64 N 4)) (-.f64 (*.f64 N N) (pow.f64 N 4))) (*.f64 N (-.f64 1 N)))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (pow.f64 N 4) (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))) (-.f64 (*.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) 3))) (-.f64 (+.f64 (pow.f64 N 4) (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) (*.f64 (*.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 1 (/.f64 (+.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(/.f64 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 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (*.f64 N (neg.f64 N)) (*.f64 N (neg.f64 N)))) (-.f64 N (*.f64 N (neg.f64 N))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 N 8)) (*.f64 (+.f64 N (*.f64 N N)) (+.f64 (pow.f64 N 4) (*.f64 N N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (neg.f64 N)) 3)) (-.f64 (+.f64 (*.f64 N N) (*.f64 (*.f64 N (neg.f64 N)) (*.f64 N (neg.f64 N)))) (*.f64 N (*.f64 N (neg.f64 N)))))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (+.f64 N (*.f64 N N)) (+.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 8) (pow.f64 N 6)))))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (pow.f64 N 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 N 6) 3)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (pow.f64 N 3) (pow.f64 N 6)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 4))) (neg.f64 (+.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)))))
(pow.f64 (*.f64 N (-.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (*.f64 N (-.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) 3)
(pow.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2))
(log.f64 (exp.f64 (*.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 (log.f64 (*.f64 N (-.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (*.f64 N (-.f64 1 N))) 1))
(log1p.f64 (expm1.f64 (*.f64 N (-.f64 1 N))))
(fma.f64 1 N (*.f64 N (neg.f64 N)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N (neg.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N (neg.f64 N)))
Outputs
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(*.f64 (+.f64 1 N) N)
(+.f64 N (*.f64 N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(*.f64 (+.f64 1 N) N)
(+.f64 N (*.f64 N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (+.f64 N (*.f64 N N)))
1
(+.f64 1 (*.f64 2 N))
(+.f64 1 (*.f64 N 2))
(+.f64 1 (+.f64 (pow.f64 N 2) (*.f64 2 N)))
(+.f64 1 (+.f64 (*.f64 N 2) (*.f64 N N)))
(+.f64 1 (*.f64 N (+.f64 2 N)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 N 4)) (+.f64 (pow.f64 N 2) (*.f64 2 N))))
(+.f64 1 (+.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 N 2)))
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N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
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(+.f64 N (*.f64 -1 (pow.f64 N 2)))
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(fma.f64 N (neg.f64 N) N)
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(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(fma.f64 N (neg.f64 N) N)
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(*.f64 -1 (pow.f64 N 2))
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(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (fma.f64 N (-.f64 1 N) (*.f64 0 (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N))))
(fma.f64 N (-.f64 1 N) (*.f64 2 (fma.f64 (neg.f64 N) N (*.f64 N N))))
(fma.f64 N (-.f64 1 N) (*.f64 2 (*.f64 0 (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N))))
(fma.f64 N (-.f64 1 N) (*.f64 2 (fma.f64 (neg.f64 N) N (*.f64 N N))))
(fma.f64 N (-.f64 1 N) (*.f64 2 (*.f64 0 (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N))))
(+.f64 (fma.f64 N (-.f64 1 N) (fma.f64 (neg.f64 N) N (*.f64 N N))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (fma.f64 N (-.f64 1 N) (*.f64 0 (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(+.f64 (fma.f64 N (-.f64 1 N) (fma.f64 (neg.f64 N) N (*.f64 N N))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (fma.f64 N (-.f64 1 N) (*.f64 0 (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(+.f64 (fma.f64 N (-.f64 1 N) (fma.f64 (neg.f64 N) N (*.f64 N N))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (fma.f64 N (-.f64 1 N) (*.f64 0 (*.f64 N N))))
(+.f64 (*.f64 N (-.f64 1 N)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(fma.f64 N (-.f64 1 N) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(+.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) 1))
(+.f64 (-.f64 N (fma.f64 N N -1)) (+.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) -1))
(+.f64 (-.f64 N (fma.f64 N N -1)) (+.f64 -1 (*.f64 0 (*.f64 N N))))
(+.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) 1))
(+.f64 (-.f64 N (fma.f64 N N -1)) (+.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) -1))
(+.f64 (-.f64 N (fma.f64 N N -1)) (+.f64 -1 (*.f64 0 (*.f64 N N))))
(+.f64 (-.f64 N (fma.f64 N N -1)) (-.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) 1))
(+.f64 (-.f64 N (fma.f64 N N -1)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) -1))
(+.f64 (-.f64 N (fma.f64 N N -1)) (+.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)))) (fma.f64 N N -1)))
(+.f64 (*.f64 N (neg.f64 N)) N)
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(+.f64 (*.f64 N (neg.f64 N)) (+.f64 N (fma.f64 (neg.f64 N) N (*.f64 N N))))
(+.f64 N (fma.f64 N (neg.f64 N) (fma.f64 (neg.f64 N) N (*.f64 N N))))
(fma.f64 N (-.f64 1 N) (*.f64 0 (*.f64 N N)))
(+.f64 (*.f64 N (neg.f64 N)) (+.f64 N (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N))))
(+.f64 N (fma.f64 N (neg.f64 N) (fma.f64 (neg.f64 N) N (*.f64 N N))))
(fma.f64 N (-.f64 1 N) (*.f64 0 (*.f64 N N)))
(+.f64 (*.f64 N (neg.f64 N)) (+.f64 N (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(+.f64 N (fma.f64 N (neg.f64 N) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(fma.f64 N (-.f64 1 N) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)))
(+.f64 (*.f64 (*.f64 N (neg.f64 N)) 1) N)
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(+.f64 (fma.f64 (neg.f64 N) N (*.f64 N N)) (*.f64 N (-.f64 1 N)))
(+.f64 N (fma.f64 N (neg.f64 N) (fma.f64 (neg.f64 N) N (*.f64 N N))))
(fma.f64 N (-.f64 1 N) (*.f64 0 (*.f64 N N)))
(+.f64 (fma.f64 (*.f64 N (neg.f64 N)) 1 (*.f64 N N)) (*.f64 N (-.f64 1 N)))
(+.f64 N (fma.f64 N (neg.f64 N) (fma.f64 (neg.f64 N) N (*.f64 N N))))
(fma.f64 N (-.f64 1 N) (*.f64 0 (*.f64 N N)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)) (*.f64 N (-.f64 1 N)))
(+.f64 N (fma.f64 N (neg.f64 N) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N))))
(fma.f64 N (-.f64 1 N) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)) (*.f64 N N)))
(+.f64 (-.f64 N (exp.f64 (log1p.f64 (*.f64 N N)))) 1)
(+.f64 1 (-.f64 N (exp.f64 (log1p.f64 (*.f64 N N)))))
(-.f64 (+.f64 1 N) (exp.f64 (log1p.f64 (*.f64 N N))))
(*.f64 N (-.f64 1 N))
(fma.f64 N (neg.f64 N) N)
(*.f64 1 (*.f64 N (-.f64 1 N)))
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(*.f64 (*.f64 N (-.f64 1 N)) 1)
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(*.f64 (sqrt.f64 (*.f64 N (-.f64 1 N))) (sqrt.f64 (*.f64 N (-.f64 1 N))))
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(*.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) 2))
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) 2) (cbrt.f64 (*.f64 N (-.f64 1 N))))
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (+.f64 N (*.f64 N N))))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (*.f64 (+.f64 1 N) N)))
(*.f64 (-.f64 1 N) N)
(fma.f64 N (neg.f64 N) N)
(*.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 1 (-.f64 (pow.f64 N 3) (pow.f64 N 6))) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))))
(*.f64 (+.f64 N (sqrt.f64 N)) (-.f64 (sqrt.f64 N) N))
(*.f64 (/.f64 1 (+.f64 N (*.f64 N N))) (-.f64 (*.f64 N N) (pow.f64 N 4)))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (*.f64 (+.f64 1 N) N)))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (+.f64 N (*.f64 N N))))
(*.f64 (/.f64 1 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) (-.f64 (pow.f64 N 3) (pow.f64 N 6)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 N 6))) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 (*.f64 N N) (pow.f64 N 4))) (*.f64 N (-.f64 1 N)))
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (+.f64 (*.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(*.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (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 (pow.f64 N 4) (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))) (-.f64 (*.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) 3))) (-.f64 (+.f64 (pow.f64 N 4) (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))) (*.f64 (*.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) 3))) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (*.f64 (*.f64 N N) (+.f64 (pow.f64 N 4) (pow.f64 N 3))))))
(*.f64 (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 6) (pow.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) 3))) (+.f64 (pow.f64 N 4) (*.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (-.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 3)) (*.f64 N N)))))
(/.f64 1 (/.f64 (+.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (*.f64 (+.f64 1 N) N)))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (+.f64 N (*.f64 N 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 (*.f64 1 (-.f64 (pow.f64 N 3) (pow.f64 N 6))) (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 N (*.f64 N N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 (+.f64 1 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 (-.f64 (*.f64 N N) (*.f64 (*.f64 N (neg.f64 N)) (*.f64 N (neg.f64 N)))) (-.f64 N (*.f64 N (neg.f64 N))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (*.f64 (+.f64 1 N) N))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (+.f64 N (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 N 8)) (*.f64 (+.f64 N (*.f64 N N)) (+.f64 (pow.f64 N 4) (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 N 8)) (*.f64 (*.f64 (+.f64 1 N) N) (+.f64 (pow.f64 N 4) (*.f64 N N))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 N 8)) (+.f64 N (*.f64 N N))) (+.f64 (pow.f64 N 4) (*.f64 N N)))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (neg.f64 N)) 3)) (-.f64 (+.f64 (*.f64 N N) (*.f64 (*.f64 N (neg.f64 N)) (*.f64 N (neg.f64 N)))) (*.f64 N (*.f64 N (neg.f64 N)))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (neg.f64 N)) 3)) (-.f64 (fma.f64 N N (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) (neg.f64 N)))) (*.f64 N (*.f64 N (neg.f64 N)))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (*.f64 N (neg.f64 N)) 3)) (+.f64 (fma.f64 N N (*.f64 1 (pow.f64 N 4))) (pow.f64 N 3)))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (+.f64 N (*.f64 N N)) (+.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 8) (pow.f64 N 6)))))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (*.f64 (+.f64 1 N) N) (+.f64 (+.f64 (pow.f64 N 4) (pow.f64 N 8)) (pow.f64 N 6))))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (+.f64 1 N) (*.f64 N (+.f64 (pow.f64 N 8) (+.f64 (pow.f64 N 6) (pow.f64 N 4))))))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (pow.f64 N 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 N 6) 3)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 12)) (*.f64 (pow.f64 N 3) (pow.f64 N 6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 N 6) 3)) (*.f64 (fma.f64 N N (+.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (+.f64 (pow.f64 N 12) (pow.f64 (pow.f64 N 3) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 N (pow.f64 N 8)) (pow.f64 (pow.f64 N 6) 3)) (+.f64 (pow.f64 N 6) (+.f64 (pow.f64 N 12) (*.f64 N (pow.f64 N 8))))) (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))))
(neg.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (neg.f64 (*.f64 (+.f64 1 N) N))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 4))) (-.f64 (neg.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)))))
(pow.f64 (*.f64 N (-.f64 1 N)) 1)
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(pow.f64 (sqrt.f64 (*.f64 N (-.f64 1 N))) 2)
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 N))) 3)
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(pow.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 3) 1/3)
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(sqrt.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 2))
(log.f64 (exp.f64 (*.f64 N (-.f64 1 N))))
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (-.f64 1 N)))))
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(cbrt.f64 (pow.f64 (*.f64 N (-.f64 1 N)) 3))
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(expm1.f64 (log1p.f64 (*.f64 N (-.f64 1 N))))
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(exp.f64 (log.f64 (*.f64 N (-.f64 1 N))))
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(exp.f64 (*.f64 (log.f64 (*.f64 N (-.f64 1 N))) 1))
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(log1p.f64 (expm1.f64 (*.f64 N (-.f64 1 N))))
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(fma.f64 1 N (*.f64 N (neg.f64 N)))
(fma.f64 N (neg.f64 N) N)
(*.f64 N (-.f64 1 N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N (neg.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N (neg.f64 N)))

localize48.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.2b
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))
10.8b
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))))
14.9b
(cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))
15.5b
(-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))
Compiler

Compiled 166 to 88 computations (47% saved)

series5.0ms (0.1%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
3.0ms
N
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))))
1.0ms
N
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))))
0.0ms
N
@0
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))))
0.0ms
N
@0
(cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))
0.0ms
N
@inf
(cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))

rewrite134.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1630×associate-/r/
460×associate-+l+
420×add-sqr-sqrt
410×*-un-lft-identity
404×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018169
1418119
26160119
Stop Event
node limit
Counts
3 → 146
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))
Outputs
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simplify126.0ms (1.6%)

Algorithm
egg-herbie
Rules
868×times-frac
636×distribute-lft-neg-in
630×associate-*r*
628×associate-/l*
616×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04048830
111628670
262208658
Stop Event
node limit
Counts
166 → 225
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/3 N) 1)
(+.f64 (*.f64 1/3 N) (+.f64 1 (*.f64 -4/9 (pow.f64 N 2))))
(+.f64 (*.f64 1/3 N) (+.f64 1 (+.f64 (*.f64 -4/9 (pow.f64 N 2)) (*.f64 23/81 (pow.f64 N 3)))))
1
(+.f64 1 (*.f64 4/3 N))
(+.f64 1 (+.f64 (*.f64 4/3 N) (*.f64 8/9 (pow.f64 N 2))))
(+.f64 1 (+.f64 (*.f64 4/3 N) (+.f64 (*.f64 14/81 (pow.f64 N 3)) (*.f64 8/9 (pow.f64 N 2)))))
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 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) 1)
(*.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))
(*.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 1)
(*.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6) (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) 1/3) (pow.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) 1/3))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2))) (cbrt.f64 (fma.f64 N N (-.f64 1 N))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N)))))
(pow.f64 (-.f64 N (fma.f64 N N -1)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(fabs.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(exp.f64 (*.f64 1/3 (log1p.f64 (-.f64 N (*.f64 N N)))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 N (*.f64 N N))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (-.f64 N (*.f64 N N)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(+.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (neg.f64 (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))))
(+.f64 (neg.f64 (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))
(-.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) 1)
(*.f64 1 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) 1)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 2) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))) (cbrt.f64 (fma.f64 N N (-.f64 1 N))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (-.f64 (pow.f64 (+.f64 1 N) 4) (pow.f64 N 8))) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
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(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) 1)) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) 1) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2)))) (cbrt.f64 (fma.f64 N N (-.f64 1 N))))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) 1) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N)))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (-.f64 N (fma.f64 N N -1))) -1)
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (neg.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
Outputs
1
(+.f64 (*.f64 1/3 N) 1)
(fma.f64 1/3 N 1)
(+.f64 (*.f64 1/3 N) (+.f64 1 (*.f64 -4/9 (pow.f64 N 2))))
(+.f64 (fma.f64 1/3 N 1) (*.f64 -4/9 (*.f64 N N)))
(fma.f64 1/3 N (fma.f64 -4/9 (*.f64 N N) 1))
(+.f64 (*.f64 1/3 N) (+.f64 1 (+.f64 (*.f64 -4/9 (pow.f64 N 2)) (*.f64 23/81 (pow.f64 N 3)))))
(+.f64 (fma.f64 1/3 N 1) (fma.f64 -4/9 (*.f64 N N) (*.f64 23/81 (pow.f64 N 3))))
(+.f64 (fma.f64 1/3 N 1) (*.f64 (*.f64 N N) (+.f64 -4/9 (*.f64 N 23/81))))
1
(+.f64 1 (*.f64 4/3 N))
(+.f64 1 (*.f64 N 4/3))
(fma.f64 N 4/3 1)
(+.f64 1 (+.f64 (*.f64 4/3 N) (*.f64 8/9 (pow.f64 N 2))))
(+.f64 1 (fma.f64 4/3 N (*.f64 (*.f64 N N) 8/9)))
(+.f64 (fma.f64 N 4/3 1) (*.f64 N (*.f64 N 8/9)))
(+.f64 1 (*.f64 N (+.f64 4/3 (*.f64 N 8/9))))
(+.f64 1 (+.f64 (*.f64 4/3 N) (+.f64 (*.f64 14/81 (pow.f64 N 3)) (*.f64 8/9 (pow.f64 N 2)))))
(+.f64 1 (fma.f64 4/3 N (fma.f64 14/81 (pow.f64 N 3) (*.f64 (*.f64 N N) 8/9))))
(+.f64 (fma.f64 N 4/3 1) (fma.f64 (pow.f64 N 3) 14/81 (*.f64 N (*.f64 N 8/9))))
(+.f64 (fma.f64 N 4/3 1) (*.f64 (*.f64 N N) (+.f64 8/9 (*.f64 N 14/81))))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 1 (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 (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 1 (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 (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))) 1)
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(*.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(*.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 1)
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(*.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6) (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6))
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2))
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 N (fma.f64 N N -1))))
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) 1/3) (pow.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1)))) (cbrt.f64 (sqrt.f64 (-.f64 N (fma.f64 N N -1)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2))) (cbrt.f64 (fma.f64 N N (-.f64 1 N))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 2))) (cbrt.f64 (-.f64 (fma.f64 N N 1) N)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (fma.f64 N N (-.f64 1 N)))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 N (*.f64 N N)) 3))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 N (*.f64 N N)) 2) (-.f64 (fma.f64 N N 1) N))))
(pow.f64 (-.f64 N (fma.f64 N N -1)) 1/3)
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 1)
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2) 1/2)
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(pow.f64 (pow.f64 (-.f64 N (fma.f64 N N -1)) 1/6) 2)
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) 3)
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(fabs.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))))))
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(exp.f64 (*.f64 1/3 (log1p.f64 (-.f64 N (*.f64 N N)))))
(pow.f64 (exp.f64 1/3) (log1p.f64 (-.f64 N (*.f64 N N))))
(cbrt.f64 (exp.f64 (log1p.f64 (-.f64 N (*.f64 N N)))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 N (*.f64 N N))) 1/3))
(pow.f64 (exp.f64 1/3) (log1p.f64 (-.f64 N (*.f64 N N))))
(cbrt.f64 (exp.f64 (log1p.f64 (-.f64 N (*.f64 N N)))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (-.f64 N (*.f64 N N)))) 1))
(pow.f64 (exp.f64 1/3) (log1p.f64 (-.f64 N (*.f64 N N))))
(cbrt.f64 (exp.f64 (log1p.f64 (-.f64 N (*.f64 N N)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(cbrt.f64 (-.f64 N (fma.f64 N N -1)))
(+.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (neg.f64 (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(+.f64 (neg.f64 (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(-.f64 (*.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) (*.f64 (pow.f64 N 4) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))) 1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(*.f64 1 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)) 1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4))) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))) 2) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (cbrt.f64 (-.f64 N (fma.f64 N N -1)))) (/.f64 1 (cbrt.f64 (-.f64 N (fma.f64 N N -1)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) -2) (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (pow.f64 (cbrt.f64 (-.f64 N (fma.f64 N N -1))) 2))
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(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 N 4)) (-.f64 N (fma.f64 N N -1)))

eval944.0ms (11.8%)

Compiler

Compiled 53968 to 35959 computations (33.4% saved)

prune503.0ms (6.3%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New155441558
Fresh055
Picked101
Done145
Total1556131569
Error
0.5b
Counts
1569 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
1.9b
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) 3)
29.3b
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
21.6b
(atan2.f64 1 (/.f64 (/.f64 1 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))) (+.f64 1 (-.f64 N (*.f64 N N)))))
21.6b
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))))
50.0b
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (-.f64 (+.f64 N -1) (*.f64 N N))))
0.5b
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
28.9b
(atan2.f64 1 (+.f64 N (*.f64 N N)))
28.1b
(atan2.f64 1 (+.f64 N 1))
29.1b
(atan2.f64 1 (*.f64 N N))
28.8b
(atan2.f64 1 1)
2.2b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
5.7b
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)))
37.4b
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
Compiler

Compiled 182 to 132 computations (27.5% saved)

regimes21.0ms (0.3%)

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 (+.f64 1 (-.f64 N N)) 1)
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 (+.f64 N 1) (*.f64 N N)))
(atan2.f64 1 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 1 (*.f64 N N)) (+.f64 1 (*.f64 N N)))) (-.f64 (+.f64 N -1) (*.f64 N N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (/.f64 (neg.f64 (pow.f64 N 4)) (-.f64 (+.f64 N -1) (*.f64 N N))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (+.f64 1 (-.f64 N (*.f64 N N)))))
(atan2.f64 1 (/.f64 (/.f64 1 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)))) (+.f64 1 (-.f64 N (*.f64 N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
(atan2.f64 (+.f64 1 (-.f64 N N)) (/.f64 (-.f64 (pow.f64 N 4) (pow.f64 (+.f64 1 N) 2)) (-.f64 (fma.f64 N N -1) N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3))) 3)
(atan2.f64 1 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N)))))) (cbrt.f64 (+.f64 1 (-.f64 N (*.f64 N N))))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
Outputs
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
Calls

2 calls:

10.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
ErrorSegmentsBranch
0.5b1N
0.5b1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 349 to 221 computations (36.7% saved)

regimes13.0ms (0.2%)

Counts
5 → 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)))
(atan2.f64 (+.f64 1 (-.f64 N N)) 1)
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
ErrorSegmentsBranch
1.2b3N
Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch35.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
2.4187748450478125e-5
1.0312845519961191
16.0ms
-3.126658084501613
-0.03227947667184736
Results
32.0ms240×body256valid
Compiler

Compiled 252 to 189 computations (25% saved)

regimes12.0ms (0.1%)

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

1 calls:

11.0ms
N
Results
ErrorSegmentsBranch
1.3b3N
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch38.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
1.0312845519961191
140011209988346.88
16.0ms
-3.126658084501613
-0.03227947667184736
Results
34.0ms272×body256valid
Compiler

Compiled 250 to 196 computations (21.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -54.6b remaining (-3346.6%)

Threshold costs -54.6b (-3346.6%)

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
ErrorSegmentsBranch
1.6b3N
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch37.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
2.4187748450478125e-5
1.0312845519961191
18.0ms
-3.126658084501613
-0.03227947667184736
Results
34.0ms240×body256valid
Compiler

Compiled 192 to 159 computations (17.2% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
029185
144185
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))
(if (<=.f64 N -1) (atan2.f64 1 (+.f64 N (*.f64 N N))) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (*.f64 N N)))))
(if (<=.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 1) (*.f64 N N)))
(atan2.f64 1 (+.f64 (+.f64 1 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)

soundness0.0ms (0%)

end43.0ms (0.5%)

Compiler

Compiled 70 to 49 computations (30% saved)

Profiling

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