Details

Time bar (total: 9.8s)

analyze3.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
33.3%25%50%0%0%25%0%3
75%37.5%12.5%0%12.5%37.5%0%4
87.5%43.7%6.2%0%12.5%37.5%0%5
93.8%46.9%3.1%0%12.5%37.5%0%6
96.9%48.4%1.6%0%12.5%37.5%0%7
98.4%49.2%0.8%0%12.5%37.5%0%8
99.2%49.6%0.4%0%12.5%37.5%0%9
99.6%49.8%0.2%0%12.5%37.5%0%10
99.8%49.9%0.1%0%12.5%37.5%0%11
99.9%49.9%0%0%12.5%37.5%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.3s (23.4%)

Results
941.0ms2087×body1024valid
859.0ms4942×body256valid
250.0ms252×body2048valid
223.0ms975×body512valid
Bogosity

preprocess21.0ms (0.2%)

Algorithm
egg-herbie
Rules
80×fma-def
44×associate--r+
38×associate-+l-
30×+-commutative
24×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11415
21915
32715
43615
55315
610415
714315
818915
923215
1025615
1125815
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify31.0ms (0.3%)

Algorithm
egg-herbie
Rules
80×fma-def
44×associate--r+
38×associate-+l-
30×+-commutative
24×associate--l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
11415
21915
32715
43615
55315
610415
714315
818915
923215
1025615
1125815
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))

eval0.0ms (0%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
29.6b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
29.6b
(-.f64 (log1p.f64 N) (log.f64 N))
29.6b
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.8b
(log.f64 (+.f64 N 1))
4.0b
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite70.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1968×add-sqr-sqrt
1952×*-un-lft-identity
1824×add-cube-cbrt
1804×add-cbrt-cube
190×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0928
118620
2245820
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(log.f64 (+.f64 N 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 N))) (log.f64 (hypot.f64 1 (sqrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 N 3))) (log.f64 (fma.f64 N N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 N)))))

simplify60.0ms (0.6%)

Algorithm
egg-herbie
Rules
722×unswap-sqr
676×distribute-lft-in
636×associate-+l+
618×distribute-rgt-in
560×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01962072
14981920
220501910
Stop Event
node limit
Counts
82 → 131
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(+.f64 0 (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 N))) (log.f64 (hypot.f64 1 (sqrt.f64 N))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 N 3))) (log.f64 (fma.f64 N N (-.f64 1 N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1)
(*.f64 1 (log1p.f64 N))
(*.f64 (log1p.f64 N) 1)
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1))
(log1p.f64 N)
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N))))
(+.f64 N (fma.f64 -1/2 (*.f64 N N) (neg.f64 (log.f64 N))))
(-.f64 (fma.f64 -1/2 (*.f64 N N) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 1/2 N) N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 1/2 N) N))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (*.f64 -1/2 (*.f64 N N)))
(fma.f64 -1/2 (*.f64 N N) N)
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(+.f64 N (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/4 (pow.f64 N 4) (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 (pow.f64 N 4) -1/4 (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 (pow.f64 N 4) -1/4 (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N))
(+.f64 (log.f64 N) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (+.f64 (log.f64 N) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (log.f64 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (log.f64 N) (+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (neg.f64 (log.f64 (/.f64 -1 N)))))
(+.f64 (/.f64 1 N) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (/.f64 1 N) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 1/2 (*.f64 N N))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 1 N) (log.f64 (/.f64 -1 N))) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (/.f64 1 N) (fma.f64 -1 (log.f64 (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/2 (*.f64 N N))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (log.f64 (/.f64 -1 N))) (/.f64 1/2 (*.f64 N N)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 0 (log1p.f64 N))
(log1p.f64 N)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 N))) (log.f64 (hypot.f64 1 (sqrt.f64 N))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 N))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 N 3))) (log.f64 (fma.f64 N N (-.f64 1 N))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (fma.f64 N N (-.f64 1 N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 -1 N)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1)
(log1p.f64 N)
(*.f64 1 (log1p.f64 N))
(log1p.f64 N)
(*.f64 (log1p.f64 N) 1)
(log1p.f64 N)
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(log1p.f64 N)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(log1p.f64 N)
(pow.f64 (log1p.f64 N) 1)
(log1p.f64 N)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(log1p.f64 N)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(log1p.f64 N)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(log1p.f64 N)
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(log1p.f64 N)
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(log1p.f64 N)
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(log1p.f64 N)
(exp.f64 (log.f64 (log1p.f64 N)))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1))
(log1p.f64 N)
(log1p.f64 N)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.0b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 11 to 4 computations (63.6% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
N
@0
(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms
N
@-inf
(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms
N
@inf
(-.f64 (log1p.f64 N) (log.f64 N))

rewrite59.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1528×add-sqr-sqrt
1512×*-un-lft-identity
1410×add-cube-cbrt
1394×add-cbrt-cube
1380×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114415
2186715
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 (log1p.f64 N) (log.f64 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))))

simplify64.0ms (0.7%)

Algorithm
egg-herbie
Rules
1272×associate-+l+
1176×associate-*r*
936×associate-*l*
826×fma-def
666×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01281430
13511342
213301336
356041336
Stop Event
node limit
Counts
48 → 70
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N))))
(+.f64 N (-.f64 (*.f64 (*.f64 -1/2 N) N) (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (*.f64 -1/2 N) N)))
(+.f64 N (-.f64 (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))

eval42.0ms (0.4%)

Compiler

Compiled 2673 to 1348 computations (49.6% saved)

prune42.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1929201
Fresh000
Picked101
Done011
Total19310203
Error
0.1b
Counts
203 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
29.6b
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
30.5b
(/.f64 1 N)
31.1b
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
29.6b
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
32.1b
(-.f64 N (log.f64 N))
31.3b
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
30.8b
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
60.3b
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
33.0b
(neg.f64 (log.f64 N))
29.3b
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 208 to 142 computations (31.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 N 1) N)
4.0b
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite91.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1728×add-sqr-sqrt
1712×*-un-lft-identity
1598×add-cube-cbrt
1580×add-cbrt-cube
164×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
116428
2213528
Stop Event
node limit
Counts
2 → 61
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (log.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 N) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 N 1) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 N) -1) (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (+.f64 N 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N)))))))

simplify69.0ms (0.7%)

Algorithm
egg-herbie
Rules
796×distribute-lft-in
740×distribute-rgt-in
694×unswap-sqr
646×fma-def
574×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01721609
14241559
217121547
368861547
Stop Event
node limit
Counts
85 → 107
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log1p.f64 N) (log.f64 (/.f64 1 N)))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)
(*.f64 1 (/.f64 (+.f64 N 1) N))
(*.f64 (+.f64 N 1) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 N 1) N) 1)
(*.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (/.f64 1 N) (+.f64 N 1))
(*.f64 (+.f64 (neg.f64 N) -1) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(pow.f64 (/.f64 (+.f64 N 1) N) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3)
(pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (/.f64 N (+.f64 N 1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N)))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N))))
(+.f64 N (-.f64 (*.f64 (*.f64 -1/2 N) N) (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (*.f64 -1/2 N) N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (log.f64 (/.f64 1 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N)))))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 -1 N)) (log.f64 (neg.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log1p.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log1p.f64 (+.f64 -1 (+.f64 1 (/.f64 1 N))))
(log1p.f64 (+.f64 (/.f64 1 N) 0))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)
(+.f64 1 (/.f64 1 N))
(*.f64 1 (/.f64 (+.f64 N 1) N))
(+.f64 1 (/.f64 1 N))
(*.f64 (+.f64 N 1) (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 (+.f64 N 1) N) 1)
(+.f64 1 (/.f64 1 N))
(*.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
(+.f64 1 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 1 N) (+.f64 N 1))
(+.f64 1 (/.f64 1 N))
(*.f64 (+.f64 (neg.f64 N) -1) (/.f64 1 (neg.f64 N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(/.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (+.f64 N 1) (*.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(/.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (+.f64 N 1) (*.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(+.f64 1 (/.f64 1 N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)))
(pow.f64 (/.f64 (+.f64 N 1) N) 1)
(+.f64 1 (/.f64 1 N))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(+.f64 1 (/.f64 1 N))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)
(+.f64 1 (/.f64 1 N))
(pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3)
(+.f64 1 (/.f64 1 N))
(pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 1 (/.f64 1 N))
(pow.f64 (/.f64 N (+.f64 N 1)) -1)
(+.f64 1 (/.f64 1 N))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 1 (/.f64 1 N))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 1 (/.f64 1 N))
(neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N)))
(+.f64 1 (/.f64 1 N))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))
(+.f64 1 (/.f64 1 N))
(log.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))
(+.f64 1 (/.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 1 (/.f64 1 N))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))
(+.f64 1 (/.f64 1 N))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))
(+.f64 1 (/.f64 1 N))
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 1 (/.f64 1 N))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N)))
(+.f64 1 (/.f64 1 N))

localize2.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
0.2b
(/.f64 1/3 (pow.f64 N 3))
0.3b
(/.f64 1/2 (*.f64 N N))
13.6b
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
Compiler

Compiled 51 to 33 computations (35.3% saved)

series3.0ms (0%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
N
@0
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
0.0ms
N
@0
(/.f64 1/3 (pow.f64 N 3))
0.0ms
N
@0
(/.f64 1/2 (*.f64 N N))
0.0ms
N
@inf
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
0.0ms
N
@-inf
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))

rewrite141.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1066×distribute-lft-in
840×associate-/l*
814×associate-/r/
506×associate-/l/
332×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014100
133292
2472292
Stop Event
node limit
Counts
4 → 261
Calls
Call 1
Inputs
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (pow.f64 N -2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 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N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))))))

simplify145.0ms (1.5%)

Algorithm
egg-herbie
Rules
1248×associate-*r*
938×associate-/r*
904×associate-*l*
842×*-commutative
680×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074719561
1235118933
Stop Event
node limit
Counts
297 → 482
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (*.f64 1 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (*.f64 1 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))) 1)
(*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 1)
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))))
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2))
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(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 N -2)) (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))
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(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N)) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N))) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2))) (*.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 N -2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3) 3)) (*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (-.f64 (pow.f64 N -2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N))) (+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (-.f64 (*.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3)) (*.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N)) 3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N)) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N))) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N)) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) 3)) (*.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (+.f64 (*.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2)) (*.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2))))))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) N) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) 1)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) N))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (neg.f64 N)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) -1)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) N) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) 1)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) N))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (neg.f64 N)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) -1)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) N) (*.f64 (pow.f64 N 5) 1)) (pow.f64 N 6))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (neg.f64 N)) (*.f64 (pow.f64 N 5) -1)) (*.f64 (pow.f64 N 5) (neg.f64 N)))
(/.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (*.f64 N (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (*.f64 N (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) (*.f64 N (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))))) (*.f64 N (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (+.f64 (pow.f64 N 5) (*.f64 N (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)))) (pow.f64 N 6))
(/.f64 (+.f64 (*.f64 -1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (*.f64 (neg.f64 N) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (*.f64 (neg.f64 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))) (*.f64 (neg.f64 N) (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))))) (*.f64 (neg.f64 N) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (+.f64 (*.f64 -1 (pow.f64 N 5)) (*.f64 (neg.f64 N) (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)))) (*.f64 (neg.f64 N) (pow.f64 N 5)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2))) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (-.f64 (pow.f64 N -2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))))
(pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 1)
(pow.f64 (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (pow.f64 N -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
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(/.f64 (fma.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) N (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/6 (pow.f64 N 5))))) (*.f64 N (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/6 (pow.f64 N 5))))))
(/.f64 (fma.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) N (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5))))) (*.f64 N (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5))))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (neg.f64 N)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) -1)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) (neg.f64 N)))
(/.f64 (fma.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (neg.f64 N) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/6 (pow.f64 N 5)))))) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/6 (pow.f64 N 5)))) (neg.f64 N)))
(/.f64 (fma.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (neg.f64 N) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))))) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) N) (*.f64 (pow.f64 N 5) 1)) (pow.f64 N 6))
(/.f64 (fma.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) N (pow.f64 N 5)) (pow.f64 N 6))
(/.f64 (fma.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) -1/2)) N (pow.f64 N 5)) (pow.f64 N 6))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (neg.f64 N)) (*.f64 (pow.f64 N 5) -1)) (*.f64 (pow.f64 N 5) (neg.f64 N)))
(/.f64 (fma.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (neg.f64 N) (neg.f64 (pow.f64 N 5))) (*.f64 (pow.f64 N 5) (neg.f64 N)))
(/.f64 (fma.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) -1/2)) (neg.f64 N) (neg.f64 (pow.f64 N 5))) (*.f64 (pow.f64 N 5) (neg.f64 N)))
(/.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (*.f64 N (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (*.f64 N (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (fma.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) N (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (*.f64 N (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) (*.f64 N (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))))) (*.f64 N (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (fma.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) N (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/6 (pow.f64 N 5))))) (*.f64 N (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/6 (pow.f64 N 5))))))
(/.f64 (fma.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) N (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5))))) (*.f64 N (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5))))))
(/.f64 (+.f64 (pow.f64 N 5) (*.f64 N (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)))) (pow.f64 N 6))
(/.f64 (fma.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) N (pow.f64 N 5)) (pow.f64 N 6))
(/.f64 (fma.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) -1/2)) N (pow.f64 N 5)) (pow.f64 N 6))
(/.f64 (+.f64 (*.f64 -1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (*.f64 (neg.f64 N) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (*.f64 (neg.f64 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (fma.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (neg.f64 N) (neg.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))) (*.f64 (neg.f64 N) (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))))) (*.f64 (neg.f64 N) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (fma.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (neg.f64 N) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/6 (pow.f64 N 5)))))) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/6 (pow.f64 N 5)))) (neg.f64 N)))
(/.f64 (fma.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (neg.f64 N) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))))) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 -1 (pow.f64 N 5)) (*.f64 (neg.f64 N) (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)))) (*.f64 (neg.f64 N) (pow.f64 N 5)))
(/.f64 (fma.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (neg.f64 N) (neg.f64 (pow.f64 N 5))) (*.f64 (pow.f64 N 5) (neg.f64 N)))
(/.f64 (fma.f64 (fma.f64 1/3 (*.f64 N N) (*.f64 (pow.f64 N 3) -1/2)) (neg.f64 N) (neg.f64 (pow.f64 N 5))) (*.f64 (pow.f64 N 5) (neg.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2))) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 2))) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 2) (pow.f64 N -2)) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (-.f64 (pow.f64 N -2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 2) (-.f64 (pow.f64 N -2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 3))) (neg.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) N)))))
(pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 1)
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(pow.f64 (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (pow.f64 N -1/2)) 2)
(pow.f64 (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) (pow.f64 N -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 3)
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3) 1/3)
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 1))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (log1p.f64 N) 2)
0.3b
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
0.5b
(pow.f64 (log.f64 N) 2)
3.9b
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
Compiler

Compiled 44 to 20 computations (54.5% saved)

series48.0ms (0.5%)

Counts
4 → 44
Calls

12 calls:

TimeVariablePointExpression
20.0ms
N
@0
(pow.f64 (log.f64 N) 2)
16.0ms
N
@-inf
(pow.f64 (log.f64 N) 2)
6.0ms
N
@inf
(pow.f64 (log.f64 N) 2)
3.0ms
N
@-inf
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
1.0ms
N
@inf
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))

rewrite110.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1892×associate-/r*
1740×associate-/l*
1258×associate-/r/
278×add-sqr-sqrt
272×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01296
126864
2383364
Stop Event
node limit
Counts
4 → 251
Calls
Call 1
Inputs
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
(pow.f64 (log.f64 N) 2)
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (log1p.f64 N) 2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 N) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 N) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 N)) (*.f64 (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log1p.f64 N)) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (cbrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 N) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 N) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))))))

simplify205.0ms (2.1%)

Algorithm
egg-herbie
Rules
1348×associate-*r*
1090×associate-*l*
872×+-commutative
768×associate-+r+
740×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079121029
1235020721
Stop Event
node limit
Counts
295 → 467
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2))))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 11/12 (pow.f64 N 4)) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2)))))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))
(-.f64 (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))))) (/.f64 1 (pow.f64 N 3)))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))))
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
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(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) 1)
(*.f64 (log1p.f64 N) (log1p.f64 N))
(*.f64 (pow.f64 (log1p.f64 N) 2) 1)
(*.f64 1 (pow.f64 (log1p.f64 N) 2))
(*.f64 (sqrt.f64 (log1p.f64 N)) (*.f64 (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2)))
(*.f64 (*.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))
(*.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (cbrt.f64 (log1p.f64 N)))
(sqrt.f64 (pow.f64 (log1p.f64 N) 4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2)))
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))
Outputs
(*.f64 -1 (pow.f64 (log.f64 N) 2))
(neg.f64 (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (*.f64 N N) (neg.f64 (pow.f64 (log.f64 N) 2)))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2))))
(+.f64 (*.f64 N N) (*.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2))))
(+.f64 (*.f64 N N) (*.f64 -1 (+.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3))))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 11/12 (pow.f64 N 4)) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2)))))
(+.f64 (*.f64 N N) (fma.f64 11/12 (pow.f64 N 4) (*.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2)))))
(+.f64 (*.f64 N N) (fma.f64 11/12 (pow.f64 N 4) (*.f64 -1 (+.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)))))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))
(/.f64 (*.f64 2 (log.f64 N)) N)
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))
(+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))
(+.f64 (/.f64 (*.f64 2 (log.f64 N)) N) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 1 (*.f64 N N))))
(-.f64 (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 1 (*.f64 N N))) (+.f64 (/.f64 (*.f64 2 (log.f64 N)) N) (/.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N 3)))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))) (/.f64 11/12 (pow.f64 N 4)))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (/.f64 (*.f64 (log.f64 N) -1/2) (pow.f64 N 4)) (+.f64 (+.f64 (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 1 (*.f64 N N))) (+.f64 (/.f64 (*.f64 2 (log.f64 N)) N) (/.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N 3)))) (-.f64 (/.f64 11/12 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 3)))))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N))
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)) (/.f64 1 (*.f64 N N))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))))
(fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N)))))))
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 (*.f64 N N) -1/2)))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 N (*.f64 N -1/2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (*.f64 N N) -1/2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 N (*.f64 N -1/2)))))
(/.f64 1 N)
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (/.f64 1 N)))
(+.f64 (fma.f64 -1/2 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (*.f64 (*.f64 N N) (neg.f64 (log.f64 N)))) (/.f64 1 N)) (/.f64 1/2 (*.f64 (*.f64 N N) (neg.f64 (log.f64 N)))))
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(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(/.f64 1 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) 1)
(pow.f64 (log1p.f64 N) 2)
(*.f64 (log1p.f64 N) (log1p.f64 N))
(pow.f64 (log1p.f64 N) 2)
(*.f64 (pow.f64 (log1p.f64 N) 2) 1)
(pow.f64 (log1p.f64 N) 2)
(*.f64 1 (pow.f64 (log1p.f64 N) 2))
(pow.f64 (log1p.f64 N) 2)
(*.f64 (sqrt.f64 (log1p.f64 N)) (*.f64 (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(*.f64 (log1p.f64 N) (*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))))
(*.f64 (log1p.f64 N) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2)))
(*.f64 (*.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))
(*.f64 (log1p.f64 N) (*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N))))
(*.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (cbrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))))
(*.f64 (log1p.f64 N) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N))))
(sqrt.f64 (pow.f64 (log1p.f64 N) 4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (log1p.f64 N) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))))
(pow.f64 (log1p.f64 N) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (log1p.f64 N) 2)
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 2) (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1))
(pow.f64 (exp.f64 2) (log.f64 (log1p.f64 N)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (log1p.f64 N) 2)

eval592.0ms (6.1%)

Compiler

Compiled 34294 to 22802 computations (33.5% saved)

prune189.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New105331056
Fresh224
Picked101
Done325
Total105971066
Error
0b
Counts
1066 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(/.f64 1 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
30.5b
(/.f64 1 N)
32.1b
(-.f64 N (log.f64 N))
31.3b
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
30.8b
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))))
33.0b
(neg.f64 (log.f64 N))
0.0b
(log1p.f64 (+.f64 (/.f64 1 N) 0))
Compiler

Compiled 130 to 96 computations (26.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (+.f64 (/.f64 1 N) 0))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
N
@-inf
(log1p.f64 (+.f64 (/.f64 1 N) 0))
0.0ms
N
@0
(log1p.f64 (+.f64 (/.f64 1 N) 0))
0.0ms
N
@inf
(log1p.f64 (+.f64 (/.f64 1 N) 0))

rewrite50.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1312×add-sqr-sqrt
1290×*-un-lft-identity
1210×add-cube-cbrt
1198×add-cbrt-cube
1186×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
118311
2197311
Stop Event
node limit
Counts
1 → 15
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (/.f64 1 N) 0))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))))))

simplify55.0ms (0.6%)

Algorithm
egg-herbie
Rules
900×fma-def
878×associate-/r*
830×*-commutative
774×associate-*r/
660×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063717
1152619
2582523
32222515
45340515
Stop Event
node limit
Counts
27 → 47
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 N (*.f64 N -1/2)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 N (*.f64 N -1/2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) N) (log.f64 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
0.1b
(/.f64 (/.f64 -1/2 N) N)
Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite79.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1150×associate-/l*
980×*-commutative
648×associate-/r/
564×swap-sqr
444×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0938
120338
2288838
Stop Event
node limit
Counts
2 → 148
Calls
Call 1
Inputs
(/.f64 (/.f64 -1/2 N) N)
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (/.f64 -1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -1/2) (*.f64 (/.f64 -1/2 N) (pow.f64 N -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -1/2) (/.f64 -1/2 (*.f64 N (sqrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/2 N)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 N)) (*.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 N) (/.f64 -1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 N) (pow.f64 N -1/2)) (pow.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (*.f64 N (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (*.f64 N (sqrt.f64 N))) (pow.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (*.f64 N (cbrt.f64 N))) (/.f64 1 (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 N -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 N) (/.f64 1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 N -1/2) N) (/.f64 -1/2 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 N (cbrt.f64 N))) (/.f64 -1/2 (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) N) (sqrt.f64 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (cbrt.f64 N)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 -1/2 N)) N) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) N) (cbrt.f64 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 N) 1) (/.f64 -1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 N) (neg.f64 N)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 N (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2))) (cbrt.f64 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1/2) N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 N (*.f64 N -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (*.f64 N (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change 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simplify98.0ms (1%)

Algorithm
egg-herbie
Rules
1814×distribute-lft-in
1782×distribute-rgt-in
880×associate-/r/
520×*-commutative
458×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03926766
112035576
248725536
Stop Event
node limit
Counts
172 → 257
Calls
Call 1
Inputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
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(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))) (neg.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1)))))
(/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (*.f64 N (neg.f64 N)))
(pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 1)
(pow.f64 (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 -1/2) N)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (/.f64 (neg.f64 (+.f64 1 (/.f64 1/2 N))) N)))
(neg.f64 (/.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) (neg.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1))))))
(neg.f64 (/.f64 (+.f64 N (/.f64 N (*.f64 N -2))) (*.f64 N (neg.f64 N))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))))
(exp.f64 (log.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))))
(fma.f64 (/.f64 -1/2 N) (/.f64 1 N) (/.f64 1 N))
(fma.f64 1 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (/.f64 1 N))
Outputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2)))) 1)
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 -1/2 (pow.f64 N -2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (/.f64 -1/2 N) (/.f64 1 N))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 1 (*.f64 -1/2 (pow.f64 N -2)))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (/.f64 1 N) (/.f64 -1/2 N))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (pow.f64 N -1/2) (*.f64 (/.f64 -1/2 N) (pow.f64 N -1/2)))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (pow.f64 N -1/2) (/.f64 -1/2 (*.f64 N (sqrt.f64 N))))
(/.f64 (*.f64 (pow.f64 N -1/2) -1/2) (*.f64 N (sqrt.f64 N)))
(*.f64 (/.f64 -1/2 N) (/.f64 (pow.f64 N -1/2) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 -1/2 N)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) N))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N))
(pow.f64 (/.f64 (sqrt.f64 -1/2) N) 2)
(*.f64 (/.f64 1 (cbrt.f64 N)) (*.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N -2))))
(*.f64 (/.f64 -1/2 N) (*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 -1/2 N))))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 N) N)) (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (pow.f64 N -2) -1/2)
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (/.f64 1/2 N) (/.f64 -1 N))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (*.f64 (/.f64 -1/2 N) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (*.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 -1/2 N) (*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)))
(*.f64 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 -1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1/2) N))
(/.f64 (*.f64 (pow.f64 N -1/2) -1/2) (*.f64 N (sqrt.f64 N)))
(*.f64 (/.f64 -1/2 N) (/.f64 (pow.f64 N -1/2) (sqrt.f64 N)))
(*.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (*.f64 N (cbrt.f64 N))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 -1/2 (*.f64 N (sqrt.f64 N))) (pow.f64 N -1/2))
(/.f64 (*.f64 (pow.f64 N -1/2) -1/2) (*.f64 N (sqrt.f64 N)))
(*.f64 (/.f64 -1/2 N) (/.f64 (pow.f64 N -1/2) (sqrt.f64 N)))
(*.f64 (/.f64 (/.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 -1/2 (*.f64 N (cbrt.f64 N))) (/.f64 1 (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) -1)
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (/.f64 -1 N) (/.f64 1/2 N))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (/.f64 (pow.f64 N -1/2) N) (/.f64 -1/2 (sqrt.f64 N)))
(/.f64 (*.f64 (pow.f64 N -1/2) -1/2) (*.f64 N (sqrt.f64 N)))
(*.f64 (/.f64 -1/2 N) (/.f64 (pow.f64 N -1/2) (sqrt.f64 N)))
(*.f64 (/.f64 1 (*.f64 N (cbrt.f64 N))) (/.f64 -1/2 (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) N) (sqrt.f64 (/.f64 -1/2 N)))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (cbrt.f64 N)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) N))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (/.f64 (cbrt.f64 (/.f64 -1/2 N)) N) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) 1))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 (/.f64 -1/2 N) (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 (/.f64 (cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (sqrt.f64 N)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 (/.f64 -1/2 N) (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 N) N)) (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) N) (cbrt.f64 (/.f64 -1/2 N)))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (/.f64 (/.f64 1 N) 1) (/.f64 -1/2 N))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(*.f64 (/.f64 (/.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 (/.f64 1 N) (neg.f64 N)) 1/2)
(/.f64 (*.f64 (/.f64 1 N) 1/2) (neg.f64 N))
(/.f64 (/.f64 1/2 N) (neg.f64 N))
(*.f64 (/.f64 1 (/.f64 N (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2))) (cbrt.f64 (/.f64 -1/2 N)))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(pow.f64 (/.f64 (sqrt.f64 -1/2) N) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 3)
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(pow.f64 (*.f64 N (*.f64 N -2)) -1)
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(pow.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)) 1/3)
(cbrt.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))
(cbrt.f64 (/.f64 -1/8 (pow.f64 N 6)))
(neg.f64 (*.f64 1/2 (pow.f64 N -2)))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(sqrt.f64 (/.f64 1/4 (*.f64 N (pow.f64 N 3))))
(sqrt.f64 (/.f64 (/.f64 1/4 N) (pow.f64 N 3)))
(sqrt.f64 (/.f64 1/4 (pow.f64 N 4)))
(log.f64 (exp.f64 (*.f64 -1/2 (pow.f64 N -2))))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2)))))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(cbrt.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))
(cbrt.f64 (/.f64 -1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2))))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2))))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))
(/.f64 -1/2 (*.f64 N N))
(/.f64 (/.f64 -1/2 N) N)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))) 1)
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(/.f64 (/.f64 (-.f64 1/2 N) N) (neg.f64 N))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N))) 2))
(fabs.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 N)))
(log.f64 (exp.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 3))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(exp.f64 (log.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(fma.f64 (/.f64 -1/2 N) (/.f64 1 N) (/.f64 1 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(fma.f64 1 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(fma.f64 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
(fma.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N) (/.f64 1 N))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 -1/2) N) 2) (/.f64 1 N))
(+.f64 (/.f64 1 N) (pow.f64 (/.f64 (sqrt.f64 -1/2) N) 2))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (/.f64 (/.f64 -1/2 N) N))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (/.f64 1 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N)))
0.3b
(/.f64 1/2 (*.f64 N N))
0.3b
(/.f64 1/3 (*.f64 N N))
13.6b
(-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N)))
Compiler

Compiled 64 to 35 computations (45.3% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
N
@0
(/.f64 1/3 (*.f64 N N))
0.0ms
N
@inf
(/.f64 1/3 (*.f64 N N))
0.0ms
N
@0
(-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N)))
0.0ms
N
@inf
(-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N)))
0.0ms
N
@-inf
(-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N)))

rewrite97.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1184×associate-/l*
742×associate-/r/
714×associate-/l/
468×distribute-rgt-in
432×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01269
127551
2384351
Stop Event
node limit
Counts
3 → 231
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N)))
(/.f64 1/3 (*.f64 N N))
(*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N)))
Outputs
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N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N N) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (*.f64 (sqrt.f64 N) N)) (*.f64 N (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/3 N) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N (/.f64 N 1/3)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/3 N) (*.f64 (sqrt.f64 N) N)) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N N))) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 N 4)) N)) (pow.f64 (cbrt.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 N) -1) (*.f64 N (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1/3 N)) (*.f64 N (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (pow.f64 N -2)) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sqrt.f64 N) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (sqrt.f64 N) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (cbrt.f64 N) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (pow.f64 N 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (pow.f64 N 3))))))))

simplify107.0ms (1.1%)

Algorithm
egg-herbie
Rules
1042×associate-/r*
1036×associate-*r*
826×times-frac
826×associate-*l*
810×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060912799
1186711571
Stop Event
node limit
Counts
267 → 396
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (*.f64 1 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (*.f64 1 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (*.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (*.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (*.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)))
(+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))) 1)
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(*.f64 (/.f64 (/.f64 1/3 N) (neg.f64 N)) -1)
(pow.f64 (*.f64 1/3 (pow.f64 N -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 1/3) N) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -2)) 3) 1/3)
(pow.f64 (*.f64 N (/.f64 N 1/3)) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3)))) 1)
(/.f64 1 (/.f64 (pow.f64 N 3) 1/3))
(/.f64 1 (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 N)))
(/.f64 1 (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (/.f64 (sqrt.f64 1/3) N)))
(/.f64 1 (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))
(/.f64 1 (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (*.f64 N (/.f64 N 1/3)))))
(/.f64 1 (*.f64 (*.f64 N N) (/.f64 N 1/3)))
(/.f64 (/.f64 1 N) (*.f64 N (/.f64 N 1/3)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N))))
(/.f64 1/3 (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 N)))
(/.f64 1/3 (/.f64 (*.f64 N N) (/.f64 1 N)))
(/.f64 (*.f64 1/3 (pow.f64 N -2)) N)
(/.f64 (/.f64 (sqrt.f64 1/3) N) (*.f64 (/.f64 N (sqrt.f64 1/3)) N))
(/.f64 (pow.f64 N -1/2) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 N -1/2)))
(/.f64 (pow.f64 N -1/2) (/.f64 (*.f64 N N) (*.f64 (pow.f64 N -1/2) 1/3)))
(/.f64 (pow.f64 N -1/2) (*.f64 (*.f64 N (/.f64 N 1/3)) (sqrt.f64 N)))
(/.f64 (sqrt.f64 1/3) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (/.f64 1 N)))
(/.f64 (sqrt.f64 1/3) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) N))
(/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (/.f64 N (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))
(/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (cbrt.f64 (/.f64 (sqrt.f64 1/3) N))))
(/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (*.f64 1/3 (pow.f64 N -2)))))
(/.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))))
(/.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 (*.f64 N (/.f64 N 1/3)) (cbrt.f64 (pow.f64 N -2))))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (cbrt.f64 N))))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (*.f64 N N) (*.f64 (/.f64 1 (cbrt.f64 N)) 1/3)))
(/.f64 (/.f64 1/3 N) (*.f64 N N))
(/.f64 (/.f64 1/3 N) (/.f64 1 (pow.f64 N -2)))
(/.f64 (/.f64 1/3 N) (/.f64 (*.f64 N (neg.f64 N)) -1))
(/.f64 (pow.f64 N -2) (/.f64 N 1/3))
(/.f64 -1 (*.f64 (neg.f64 N) (*.f64 N (/.f64 N 1/3))))
(/.f64 -1 (*.f64 (*.f64 N (/.f64 N 1/3)) (neg.f64 N)))
(/.f64 -1 (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (neg.f64 N))))
(/.f64 -1 (/.f64 (neg.f64 N) (*.f64 1/3 (pow.f64 N -2))))
(/.f64 -1 (/.f64 (*.f64 N (neg.f64 N)) (/.f64 1/3 N)))
(/.f64 -1 (*.f64 N (*.f64 (*.f64 N (neg.f64 N)) 3)))
(/.f64 -1/3 (*.f64 N (*.f64 N (neg.f64 N))))
(/.f64 -1/3 (*.f64 (*.f64 N N) (neg.f64 N)))
(/.f64 -1/3 (neg.f64 (pow.f64 N 3)))
(/.f64 -1/3 (/.f64 N (/.f64 1 (*.f64 N (neg.f64 N)))))
(/.f64 -1/3 (/.f64 (*.f64 N (neg.f64 N)) (/.f64 1 N)))
(/.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (*.f64 N (neg.f64 N)))))
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))))))
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))))
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (/.f64 (*.f64 N N) (sqrt.f64 (/.f64 1/3 N))))
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 N)))
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (/.f64 (sqrt.f64 1/3) N))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 N)) (cbrt.f64 (/.f64 1/3 N))) (/.f64 (*.f64 N N) (cbrt.f64 (/.f64 1/3 N))))
(/.f64 (*.f64 (/.f64 1 N) -1/3) (*.f64 N (neg.f64 N)))
(/.f64 (*.f64 (*.f64 1/3 (pow.f64 N -2)) -1) (neg.f64 N))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (*.f64 (*.f64 N N) (sqrt.f64 N)))
(/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N N) (cbrt.f64 N)))
(/.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 1/3 (*.f64 (sqrt.f64 N) N)) (*.f64 N (sqrt.f64 N)))
(/.f64 (/.f64 (/.f64 1/3 N) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N (/.f64 N 1/3)) (cbrt.f64 N)))
(/.f64 (/.f64 (/.f64 1/3 N) (*.f64 (sqrt.f64 N) N)) (sqrt.f64 N))
(/.f64 (/.f64 1/3 (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N N))) (cbrt.f64 N))
(/.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 N 4)) N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (*.f64 (/.f64 1/3 N) -1) (*.f64 N (neg.f64 N)))
(/.f64 (neg.f64 (/.f64 1/3 N)) (*.f64 N (neg.f64 N)))
(/.f64 (*.f64 -1/3 (pow.f64 N -2)) (neg.f64 N))
(/.f64 (pow.f64 (sqrt.f64 N) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (sqrt.f64 N) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (cbrt.f64 N) -1)))
(pow.f64 (/.f64 1/3 (pow.f64 N 3)) 1)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) 2)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 1/3)
(sqrt.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)))
(log.f64 (exp.f64 (/.f64 1/3 (pow.f64 N 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (pow.f64 N 3)))))
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3))))
(exp.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (pow.f64 N 3))))
Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (pow.f64 N -2) -1/2 (/.f64 1/3 (pow.f64 N 3)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1/3 (pow.f64 N 3))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1/3 (pow.f64 N 3))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 2 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2))) (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))))
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (+.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2)))) (*.f64 1/2 (pow.f64 N -2))))
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(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -2)))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -2)))))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -2)) 3))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -2))))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -2))))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -2))) 1))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -2))))
(/.f64 1/3 (*.f64 N N))
(*.f64 1/3 (pow.f64 N -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3)))) 1)
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1 (/.f64 (pow.f64 N 3) 1/3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1 (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1 (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (/.f64 (sqrt.f64 1/3) N)))
(*.f64 (/.f64 1 (*.f64 N (/.f64 N (sqrt.f64 1/3)))) (/.f64 (sqrt.f64 1/3) N))
(/.f64 1 (/.f64 N (pow.f64 (/.f64 (sqrt.f64 1/3) N) 2)))
(/.f64 1 (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))
(*.f64 (/.f64 1 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3))))) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (/.f64 (/.f64 1 N) (cbrt.f64 (*.f64 N (/.f64 N 1/3)))))
(/.f64 1 (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (*.f64 N (/.f64 N 1/3)))))
(/.f64 1 (*.f64 (/.f64 N (sqrt.f64 1/3)) (*.f64 N (sqrt.f64 (*.f64 N (/.f64 N 1/3))))))
(/.f64 (*.f64 (/.f64 1 (*.f64 N N)) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 N (/.f64 N 1/3))))
(/.f64 1 (*.f64 (*.f64 N N) (/.f64 N 1/3)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 1 N) (*.f64 N (/.f64 N 1/3)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/3 (/.f64 (*.f64 N N) (/.f64 1 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (*.f64 1/3 (pow.f64 N -2)) N)
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 (sqrt.f64 1/3) N) (*.f64 (/.f64 N (sqrt.f64 1/3)) N))
(/.f64 (sqrt.f64 1/3) (*.f64 (/.f64 N (sqrt.f64 1/3)) (*.f64 N N)))
(/.f64 (pow.f64 (/.f64 (sqrt.f64 1/3) N) 2) N)
(/.f64 (pow.f64 N -1/2) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 N -1/2)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (pow.f64 N -1/2) (/.f64 (*.f64 N N) (*.f64 (pow.f64 N -1/2) 1/3)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (pow.f64 N -1/2) (*.f64 (*.f64 N (/.f64 N 1/3)) (sqrt.f64 N)))
(/.f64 (pow.f64 N -1/2) (*.f64 (sqrt.f64 N) (*.f64 N (/.f64 N 1/3))))
(/.f64 (sqrt.f64 1/3) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (/.f64 1 N)))
(/.f64 (sqrt.f64 1/3) (*.f64 (/.f64 N (sqrt.f64 1/3)) (*.f64 N N)))
(/.f64 (pow.f64 (/.f64 (sqrt.f64 1/3) N) 2) N)
(/.f64 (sqrt.f64 1/3) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) N))
(/.f64 (sqrt.f64 1/3) (*.f64 (/.f64 N (sqrt.f64 1/3)) (*.f64 N N)))
(/.f64 (pow.f64 (/.f64 (sqrt.f64 1/3) N) 2) N)
(/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (/.f64 N (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) N) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) N))
(/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (cbrt.f64 (/.f64 (sqrt.f64 1/3) N))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (*.f64 N (/.f64 N (sqrt.f64 1/3)))) (cbrt.f64 (/.f64 (sqrt.f64 1/3) N)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/3) N)) (*.f64 (/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (*.f64 N N)) (sqrt.f64 1/3)))
(/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (*.f64 1/3 (pow.f64 N -2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3))))) (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3))))))
(/.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))))
(/.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 (*.f64 N (/.f64 N 1/3)) (cbrt.f64 (pow.f64 N -2))))
(/.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 N (/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 N 1/3))))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (/.f64 1/3 (*.f64 N (cbrt.f64 N))) N))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (cbrt.f64 N))))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (*.f64 (/.f64 (*.f64 N (/.f64 N 1/3)) 1) (cbrt.f64 N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) N) (/.f64 1/3 (*.f64 N (cbrt.f64 N))))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (*.f64 N N) (*.f64 (/.f64 1 (cbrt.f64 N)) 1/3)))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (*.f64 (/.f64 (*.f64 N (/.f64 N 1/3)) 1) (cbrt.f64 N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) N) (/.f64 1/3 (*.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 1/3 N) (*.f64 N N))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 1/3 N) (/.f64 1 (pow.f64 N -2)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 1/3 N) (/.f64 (*.f64 N (neg.f64 N)) -1))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (pow.f64 N -2) (/.f64 N 1/3))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1 (*.f64 (neg.f64 N) (*.f64 N (/.f64 N 1/3))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1 (*.f64 (*.f64 N (/.f64 N 1/3)) (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1 (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (neg.f64 N))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1 (/.f64 (neg.f64 N) (*.f64 1/3 (pow.f64 N -2))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1 (/.f64 (*.f64 N (neg.f64 N)) (/.f64 1/3 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1 (*.f64 N (*.f64 (*.f64 N (neg.f64 N)) 3)))
(/.f64 -1 (*.f64 (neg.f64 (pow.f64 N 3)) 3))
(/.f64 -1 (*.f64 3 (neg.f64 (pow.f64 N 3))))
(/.f64 -1/3 (*.f64 N (*.f64 N (neg.f64 N))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1/3 (*.f64 (*.f64 N N) (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1/3 (neg.f64 (pow.f64 N 3)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1/3 (/.f64 N (/.f64 1 (*.f64 N (neg.f64 N)))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 -1/3 (/.f64 (*.f64 N (neg.f64 N)) (/.f64 1 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (*.f64 N (neg.f64 N)))))
(/.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 N (sqrt.f64 1/3)) (*.f64 N (sqrt.f64 (*.f64 N (neg.f64 N))))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 -1/3) (*.f64 N N)) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 N (neg.f64 N))))
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))))))
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (*.f64 N (/.f64 N (sqrt.f64 1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2)))) (/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (*.f64 N N) (sqrt.f64 1/3))))
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))))
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3))))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))))
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (/.f64 (*.f64 N N) (sqrt.f64 (/.f64 1/3 N))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) (*.f64 N N)) (sqrt.f64 (/.f64 1/3 N)))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) 2)
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 N)))
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (*.f64 (/.f64 N (sqrt.f64 1/3)) (*.f64 N (sqrt.f64 N))))
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (*.f64 (sqrt.f64 N) (/.f64 (*.f64 N N) (sqrt.f64 1/3))))
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (/.f64 (sqrt.f64 1/3) N))))
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (/.f64 (*.f64 N (/.f64 N (sqrt.f64 1/3))) (sqrt.f64 (/.f64 (sqrt.f64 1/3) N))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (/.f64 N (sqrt.f64 1/3))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) N))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))))
(/.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))))
(/.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 N (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (cbrt.f64 (*.f64 N (/.f64 N 1/3)))))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 N)) (cbrt.f64 (/.f64 1/3 N))) (/.f64 (*.f64 N N) (cbrt.f64 (/.f64 1/3 N))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 N)) (cbrt.f64 (/.f64 1/3 N))) (*.f64 N N)) (cbrt.f64 (/.f64 1/3 N)))
(*.f64 (cbrt.f64 (/.f64 1/3 N)) (*.f64 (/.f64 (cbrt.f64 (/.f64 1/3 N)) N) (/.f64 (cbrt.f64 (/.f64 1/3 N)) N)))
(/.f64 (*.f64 (/.f64 1 N) -1/3) (*.f64 N (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (*.f64 (*.f64 1/3 (pow.f64 N -2)) -1) (neg.f64 N))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (*.f64 (*.f64 N N) (sqrt.f64 N)))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (*.f64 N (*.f64 N (sqrt.f64 N))))
(/.f64 1/3 (*.f64 N (*.f64 (sqrt.f64 N) (*.f64 N (sqrt.f64 N)))))
(/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N N) (cbrt.f64 N)))
(/.f64 1/3 (*.f64 (cbrt.f64 N) (*.f64 (*.f64 N N) (pow.f64 (cbrt.f64 N) 2))))
(/.f64 (/.f64 1/3 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 1/3 (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 1/3 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (/.f64 1/3 (*.f64 (sqrt.f64 N) N)) (*.f64 N (sqrt.f64 N)))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (*.f64 N (*.f64 N (sqrt.f64 N))))
(/.f64 1/3 (*.f64 N (*.f64 (sqrt.f64 N) (*.f64 N (sqrt.f64 N)))))
(/.f64 (/.f64 (/.f64 1/3 N) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(/.f64 1/3 (*.f64 (cbrt.f64 N) (*.f64 (*.f64 N N) (pow.f64 (cbrt.f64 N) 2))))
(/.f64 (/.f64 1/3 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N (/.f64 N 1/3)) (cbrt.f64 N)))
(/.f64 1 (*.f64 (*.f64 N (*.f64 (/.f64 N 1/3) (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (/.f64 1/3 (*.f64 N (cbrt.f64 N))) N) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (/.f64 1/3 N) (*.f64 (sqrt.f64 N) N)) (sqrt.f64 N))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (*.f64 N (*.f64 N (sqrt.f64 N))))
(/.f64 1/3 (*.f64 N (*.f64 (sqrt.f64 N) (*.f64 N (sqrt.f64 N)))))
(/.f64 (/.f64 1/3 (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N N))) (cbrt.f64 N))
(/.f64 1/3 (*.f64 (cbrt.f64 N) (*.f64 (*.f64 N N) (pow.f64 (cbrt.f64 N) 2))))
(/.f64 (/.f64 1/3 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N (cbrt.f64 N))))
(/.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 N 4)) N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 1/3 (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 1/3 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (*.f64 (/.f64 1/3 N) -1) (*.f64 N (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (neg.f64 (/.f64 1/3 N)) (*.f64 N (neg.f64 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (*.f64 -1/3 (pow.f64 N -2)) (neg.f64 N))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (pow.f64 (sqrt.f64 N) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (sqrt.f64 N) -1)))
(/.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (sqrt.f64 N))))
(/.f64 (/.f64 1 (sqrt.f64 N)) (*.f64 (sqrt.f64 N) (*.f64 N (/.f64 N 1/3))))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (cbrt.f64 N) -1)))
(/.f64 1 (*.f64 (*.f64 N (*.f64 (/.f64 N 1/3) (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (/.f64 1/3 (*.f64 N (cbrt.f64 N))) N) (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (/.f64 1/3 (pow.f64 N 3)) 1)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) 2)
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) (*.f64 N N)) (sqrt.f64 (/.f64 1/3 N)))
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 1/3)
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))
(sqrt.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)))
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (exp.f64 (/.f64 1/3 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (pow.f64 N 3)))))
(/.f64 1/3 (pow.f64 N 3))
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))
(exp.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))) 1))
(/.f64 1/3 (pow.f64 N 3))
(log1p.f64 (expm1.f64 (/.f64 1/3 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 N (log.f64 N))
Compiler

Compiled 8 to 3 computations (62.5% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
N
@-inf
(-.f64 N (log.f64 N))
0.0ms
N
@0
(-.f64 N (log.f64 N))
0.0ms
N
@inf
(-.f64 N (log.f64 N))

rewrite54.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1382×add-sqr-sqrt
1366×*-un-lft-identity
1276×add-cube-cbrt
1262×add-cbrt-cube
1250×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
112511
2166911
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 N (log.f64 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2) (cbrt.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 N (log.f64 N)) (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))) (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N N) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 N (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (*.f64 N N) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 N (neg.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 N (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (log.f64 N)))))))

simplify59.0ms (0.6%)

Algorithm
egg-herbie
Rules
1612×associate-+r+
1208×associate-*r*
1052×associate-*l*
1030×associate-+l+
614×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0109827
1283773
21110773
35588773
Stop Event
node limit
Counts
47 → 47
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (log.f64 N)))
(+.f64 N (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) N)
(*.f64 (-.f64 N (log.f64 N)) 1)
(*.f64 1 (-.f64 N (log.f64 N)))
(*.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2) (cbrt.f64 (-.f64 N (log.f64 N))))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(*.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))))
(/.f64 1 (/.f64 (+.f64 N (log.f64 N)) (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))))
(/.f64 1 (/.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))) (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N)))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 N (neg.f64 (log.f64 N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (*.f64 N N) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 N (neg.f64 (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 N (log.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(pow.f64 (-.f64 N (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 N (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2))
(log.f64 (/.f64 (exp.f64 N) N))
(cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 N (log.f64 N))))
(exp.f64 (log.f64 (-.f64 N (log.f64 N))))
(log1p.f64 (expm1.f64 (-.f64 N (log.f64 N))))
(fma.f64 1 N (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (log.f64 N)))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)))
(+.f64 (log.f64 (/.f64 -1 N)) (-.f64 N (log.f64 -1)))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)))
(+.f64 (log.f64 (/.f64 -1 N)) (-.f64 N (log.f64 -1)))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1)))
(+.f64 (log.f64 (/.f64 -1 N)) (-.f64 N (log.f64 -1)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 N (log.f64 N))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) N)
(-.f64 N (log.f64 N))
(*.f64 (-.f64 N (log.f64 N)) 1)
(-.f64 N (log.f64 N))
(*.f64 1 (-.f64 N (log.f64 N)))
(-.f64 N (log.f64 N))
(*.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(*.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2))
(-.f64 N (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2) (cbrt.f64 (-.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)))
(*.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))))
(-.f64 N (log.f64 N))
(/.f64 1 (/.f64 (+.f64 N (log.f64 N)) (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))))
(-.f64 N (log.f64 N))
(/.f64 1 (/.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))) (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N)))
(-.f64 N (log.f64 N))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 N (neg.f64 (log.f64 N))))
(-.f64 N (log.f64 N))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (*.f64 N N) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 N (neg.f64 (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)))
(pow.f64 (-.f64 N (log.f64 N)) 1)
(-.f64 N (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 N (log.f64 N))) 2)
(-.f64 N (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 3)
(-.f64 N (log.f64 N))
(pow.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) 1/3)
(-.f64 N (log.f64 N))
(sqrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (exp.f64 N) N))
(-.f64 N (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 3))
(-.f64 N (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(exp.f64 (log.f64 (-.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(log1p.f64 (expm1.f64 (-.f64 N (log.f64 N))))
(-.f64 N (log.f64 N))
(fma.f64 1 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))
0.0b
(/.f64 1 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
0.5b
(/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))
13.6b
(fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))
Compiler

Compiled 79 to 63 computations (20.3% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite139.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1644×associate-*l/
780×distribute-lft-in
686×associate-/r*
348×associate-/r/
346×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017150
1376150
24307150
Stop Event
node limit
Counts
4 → 282
Calls
Call 1
Inputs
(fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))
(/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))
(/.f64 1 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))
Outputs
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simplify251.0ms (2.6%)

Algorithm
egg-herbie
Rules
1064×associate-+r+
906×+-commutative
764×associate-/l*
640×associate-*r*
540×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058923254
1161021408
2712421408
Stop Event
node limit
Counts
330 → 393
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 3 (pow.f64 N 3))
(+.f64 (*.f64 9/2 (pow.f64 N 4)) (*.f64 3 (pow.f64 N 3)))
(+.f64 (*.f64 9/2 (pow.f64 N 4)) (+.f64 (*.f64 -9/4 (pow.f64 N 5)) (*.f64 3 (pow.f64 N 3))))
(+.f64 (*.f64 -135/8 (pow.f64 N 6)) (+.f64 (*.f64 9/2 (pow.f64 N 4)) (+.f64 (*.f64 -9/4 (pow.f64 N 5)) (*.f64 3 (pow.f64 N 3)))))
N
(+.f64 N 1/2)
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))
(-.f64 (+.f64 N 1/2) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 1/12 (/.f64 1 N))))
N
(+.f64 N 1/2)
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))
(-.f64 (+.f64 N 1/2) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 1/12 (/.f64 1 N))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) 1))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (pow.f64 N -2) -1/2))
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(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))))
(/.f64 (/.f64 -1 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -1/2)) (neg.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -1/2)))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -2))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 -1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) (sqrt.f64 (/.f64 -1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) (cbrt.f64 (/.f64 -1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))))) (cbrt.f64 (/.f64 -1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))))
(/.f64 (/.f64 -1 (neg.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -1/2))) (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -1/2))
(/.f64 (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -2)))) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 N -2)) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 N -2)) (*.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 N -2)) (+.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (pow.f64 N -1/2))) (-.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (pow.f64 N -1/2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3) (pow.f64 N -3)) 1) (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3) (pow.f64 N -3)) (sqrt.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N))))) (sqrt.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3) (pow.f64 N -3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))) (cbrt.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))))) (cbrt.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))))
(pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 1)
(pow.f64 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) -1)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) -1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(*.f64 3 (pow.f64 N 3))
(+.f64 (*.f64 9/2 (pow.f64 N 4)) (*.f64 3 (pow.f64 N 3)))
(fma.f64 9/2 (pow.f64 N 4) (*.f64 3 (pow.f64 N 3)))
(+.f64 (*.f64 9/2 (pow.f64 N 4)) (+.f64 (*.f64 -9/4 (pow.f64 N 5)) (*.f64 3 (pow.f64 N 3))))
(fma.f64 9/2 (pow.f64 N 4) (fma.f64 -9/4 (pow.f64 N 5) (*.f64 3 (pow.f64 N 3))))
(fma.f64 9/2 (pow.f64 N 4) (fma.f64 3 (pow.f64 N 3) (*.f64 -9/4 (pow.f64 N 5))))
(+.f64 (*.f64 -135/8 (pow.f64 N 6)) (+.f64 (*.f64 9/2 (pow.f64 N 4)) (+.f64 (*.f64 -9/4 (pow.f64 N 5)) (*.f64 3 (pow.f64 N 3)))))
(fma.f64 -135/8 (pow.f64 N 6) (fma.f64 9/2 (pow.f64 N 4) (fma.f64 -9/4 (pow.f64 N 5) (*.f64 3 (pow.f64 N 3)))))
(fma.f64 -135/8 (pow.f64 N 6) (fma.f64 9/2 (pow.f64 N 4) (fma.f64 3 (pow.f64 N 3) (*.f64 -9/4 (pow.f64 N 5)))))
N
(+.f64 N 1/2)
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 1/12 (/.f64 1 N))))
(-.f64 (-.f64 (+.f64 N 1/2) (/.f64 5/24 (*.f64 N N))) (/.f64 1/12 N))
(+.f64 N (-.f64 1/2 (+.f64 (/.f64 1/12 N) (/.f64 (/.f64 5/24 N) N))))
N
(+.f64 N 1/2)
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 1/12 (/.f64 1 N))))
(-.f64 (-.f64 (+.f64 N 1/2) (/.f64 5/24 (*.f64 N N))) (/.f64 1/12 N))
(+.f64 N (-.f64 1/2 (+.f64 (/.f64 1/12 N) (/.f64 (/.f64 5/24 N) N))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3) (pow.f64 N -3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))) (cbrt.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))))) (cbrt.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/3 (pow.f64 N -3))) 3)) (-.f64 (+.f64 (pow.f64 N -2) (pow.f64 (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/3 (pow.f64 N -3))) 2)) (/.f64 (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/3 (pow.f64 N -3))) N)))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 3)) (-.f64 (+.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 2)) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) N)))
(pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 1)
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(pow.f64 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) -1)
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 2)
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 3)
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3) 1/3)
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) 2))
(fabs.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))))
(log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 1))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) -1))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/3 (pow.f64 N -3))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))

eval974.0ms (10%)

Compiler

Compiled 34813 to 26743 computations (23.2% saved)

prune317.0ms (3.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New117061176
Fresh000
Picked101
Done426
Total117581183
Error
0b
Counts
1183 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
30.5b
(/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))))
30.5b
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))
27.0b
(/.f64 1 (+.f64 N 1/2))
30.5b
(/.f64 1 N)
30.8b
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
33.0b
(neg.f64 (log.f64 N))
0.0b
(log1p.f64 (/.f64 1 N))
61.0b
N
Compiler

Compiled 104 to 81 computations (22.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (/.f64 1 N))
Compiler

Compiled 10 to 7 computations (30% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
N
@0
(log1p.f64 (/.f64 1 N))
0.0ms
N
@inf
(log1p.f64 (/.f64 1 N))
0.0ms
N
@-inf
(log1p.f64 (/.f64 1 N))

rewrite51.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1160×add-sqr-sqrt
1144×*-un-lft-identity
1080×pow1
1060×add-cube-cbrt
1048×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
113511
2149611
Stop Event
node limit
Counts
1 → 15
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))))))

simplify59.0ms (0.6%)

Algorithm
egg-herbie
Rules
900×fma-def
878×associate-/r*
830×*-commutative
774×associate-*r/
660×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063717
1152619
2582523
32222515
45340515
Stop Event
node limit
Counts
27 → 47
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 N (*.f64 N -1/2)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 N (*.f64 N -1/2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) N) (log.f64 N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1)
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(log1p.f64 (/.f64 1 N))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 N 1/2))
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite90.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1468×add-sqr-sqrt
1442×*-un-lft-identity
1356×add-cube-cbrt
1346×add-cbrt-cube
1332×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115013
2180613
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(/.f64 1 (+.f64 N 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 N 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 N 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 N 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (cbrt.f64 (/.f64 1 (+.f64 N 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 N) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/8 (pow.f64 N 3))) (fma.f64 N N (-.f64 1/4 (*.f64 N 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 N 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 N 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 N 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 N 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 N 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N 1/2))))))))

simplify57.0ms (0.6%)

Algorithm
egg-herbie
Rules
1522×associate-/l*
1300×associate-/r*
1000×associate-*r*
780×associate-*l*
716×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0991008
1246882
2787766
33191760
Stop Event
node limit
Counts
36 → 63
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -4 N))
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (*.f64 -4 N)))
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (+.f64 (*.f64 -4 N) (*.f64 -16 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 N 1/2))) 1)
(*.f64 1 (/.f64 1 (+.f64 N 1/2)))
(*.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(*.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (cbrt.f64 (/.f64 1 (+.f64 N 1/2))))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 N) -1/2)))
(*.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2))
(*.f64 (/.f64 1 (+.f64 1/8 (pow.f64 N 3))) (fma.f64 N N (-.f64 1/4 (*.f64 N 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 N 1/2)) -1))
(pow.f64 (+.f64 N 1/2) -1)
(pow.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 N 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 N 1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N 1/2))))
Outputs
2
(+.f64 2 (*.f64 -4 N))
(fma.f64 -4 N 2)
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (*.f64 -4 N)))
(fma.f64 8 (*.f64 N N) (+.f64 2 (*.f64 -4 N)))
(fma.f64 8 (*.f64 N N) (fma.f64 -4 N 2))
(fma.f64 -4 N (fma.f64 N (*.f64 N 8) 2))
(fma.f64 N (*.f64 N 8) (fma.f64 -4 N 2))
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (+.f64 (*.f64 -4 N) (*.f64 -16 (pow.f64 N 3)))))
(fma.f64 8 (*.f64 N N) (+.f64 2 (fma.f64 -4 N (*.f64 -16 (pow.f64 N 3)))))
(+.f64 (fma.f64 8 (*.f64 N N) (fma.f64 -4 N 2)) (*.f64 -16 (pow.f64 N 3)))
(fma.f64 N (*.f64 N 8) (fma.f64 -4 N (fma.f64 -16 (pow.f64 N 3) 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/4 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/8 (pow.f64 N 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/8 (pow.f64 N 4)))
(+.f64 (/.f64 1 N) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N)) (/.f64 -1/8 (pow.f64 N 4))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/4 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/8 (pow.f64 N 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/8 (pow.f64 N 4)))
(+.f64 (/.f64 1 N) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N)) (/.f64 -1/8 (pow.f64 N 4))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 N 1/2))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(*.f64 1 (/.f64 1 (+.f64 N 1/2)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(*.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(*.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (cbrt.f64 (/.f64 1 (+.f64 N 1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 N) -1/2)))
(/.f64 -1 (+.f64 -1/2 (neg.f64 N)))
(/.f64 -1 (-.f64 -1/2 N))
(*.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2))
(/.f64 (+.f64 N -1/2) (fma.f64 N N -1/4))
(*.f64 (/.f64 1 (+.f64 1/8 (pow.f64 N 3))) (fma.f64 N N (-.f64 1/4 (*.f64 N 1/2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 N 3) 1/8)) (fma.f64 N N (-.f64 1/4 (*.f64 N 1/2))))
(/.f64 (fma.f64 N N (+.f64 1/4 (*.f64 N -1/2))) (+.f64 (pow.f64 N 3) 1/8))
(/.f64 (fma.f64 N N (fma.f64 N -1/2 1/4)) (+.f64 (pow.f64 N 3) 1/8))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1))
(pow.f64 (sqrt.f64 (+.f64 N 1/2)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 N 1/2)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2)) (cbrt.f64 (+.f64 N 1/2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) -2) (cbrt.f64 (+.f64 N 1/2)))
(pow.f64 (+.f64 N 1/2) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(pow.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(sqrt.f64 (pow.f64 (+.f64 N 1/2) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 N 1/2)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N 1/2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1))
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0)
(/.f64 1 (+.f64 N 1/2))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
0.0b
(-.f64 1/2 (/.f64 1/12 N))
0.1b
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))
0.4b
(/.f64 1/12 N)
Compiler

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
0.0ms
N
@0
(/.f64 1/12 N)
0.0ms
N
@inf
(/.f64 1/12 N)
0.0ms
N
@-inf
(/.f64 1/12 N)
0.0ms
N
@0
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))
0.0ms
N
@inf
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))

rewrite142.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1396×associate-*l/
964×*-commutative
730×associate-/r*
642×distribute-lft-in
624×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01064
123164
2306464
Stop Event
node limit
Counts
4 → 279
Calls
Call 1
Inputs
(/.f64 1/12 N)
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))
(-.f64 1/2 (/.f64 1/12 N))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
Outputs
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simplify200.0ms (2%)

Algorithm
egg-herbie
Rules
906×associate-*r*
810×associate-*l*
692×distribute-lft-in
674×associate-/l*
650×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072516925
1206615313
Stop Event
node limit
Counts
315 → 471
Calls
Call 1
Inputs
(*.f64 -12 N)
(+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2)))
(+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2))))
(+.f64 (*.f64 -4320 (pow.f64 N 4)) (+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/12 N)
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N)))
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N)))
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N)))
1/2
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N)))
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N)))
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N)))
1/2
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N)))
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N)))
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N)))
(/.f64 -1/12 N)
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N)))
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))
N
(+.f64 N 1/2)
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))
N
(+.f64 N 1/2)
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/12 N))) 1)
(*.f64 1/12 (/.f64 1 N))
(*.f64 (/.f64 1/12 N) 1)
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2) (cbrt.f64 (/.f64 1/12 N)))
(*.f64 (/.f64 1 N) 1/12)
(*.f64 -1/12 (/.f64 -1 N))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 1/12 (sqrt.f64 N)))
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(*.f64 (/.f64 -1 N) -1/12)
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(pow.f64 (cbrt.f64 (/.f64 1/12 N)) 3)
(pow.f64 (*.f64 N 12) -1)
(pow.f64 (/.f64 1/1728 (pow.f64 N 3)) 1/3)
(sqrt.f64 (/.f64 1/144 (*.f64 N N)))
(log.f64 (exp.f64 (/.f64 1/12 N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/12 N))))
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(*.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))) (/.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))))
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (-.f64 (/.f64 1/12 N) N))))
(*.f64 (/.f64 1 (+.f64 -1/2 (-.f64 (/.f64 1/12 N) N))) -1)
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(/.f64 (sqrt.f64 (+.f64 -1/2 (-.f64 (/.f64 1/12 N) N))) (/.f64 -1 (sqrt.f64 (+.f64 -1/2 (-.f64 (/.f64 1/12 N) N)))))
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) (/.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2) (sqrt.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) (/.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))) (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) (/.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)) (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2))) (/.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/2 (-.f64 (/.f64 1/12 N) N))) (cbrt.f64 (+.f64 -1/2 (-.f64 (/.f64 1/12 N) N)))) (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) (/.f64 -1 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (neg.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 1 (neg.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 -1 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (neg.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 1 (neg.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 -1 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N)) (*.f64 1 (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))
(/.f64 (-.f64 (*.f64 (pow.f64 N 3) (pow.f64 N 3)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N))))
(/.f64 (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))
(/.f64 (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))) (*.f64 1 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) 3)) (*.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))) (-.f64 (+.f64 (*.f64 (pow.f64 N 3) (pow.f64 N 3)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) 3)) (*.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)) (+.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N)))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (+.f64 (+.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (*.f64 1 (+.f64 (+.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) 1) (neg.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) 1) (neg.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N)) 1) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))) 1) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) 1) (+.f64 (+.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) (sqrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) (sqrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)) (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)) (cbrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (/.f64 1 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) 3)) (/.f64 1 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) (+.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 N 3) (pow.f64 N 3)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (/.f64 1 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) 3)) (/.f64 1 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) (-.f64 (+.f64 (*.f64 (pow.f64 N 3) (pow.f64 N 3)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))))
(/.f64 (/.f64 1 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2)) (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -2))) (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) -1)) (pow.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) -1))
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 1) (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) (sqrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2))) (sqrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) 1) (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2))) (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))))
(/.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)) (sqrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) (sqrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))))
(/.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))) (cbrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))))) (cbrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))))
(/.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) (sqrt.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N)))))
(/.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) 1) (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))
(/.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) (sqrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) (sqrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))
(/.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) (*.f64 (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))) (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))
(pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 1)
(pow.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)
(pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 3)
(pow.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 2))
(log.f64 (exp.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))
(cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 3))
(expm1.f64 (log1p.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))
(exp.f64 (log.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))
(log1p.f64 (expm1.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))
(fma.f64 1 N (+.f64 1/2 (/.f64 -1/12 N)))
(fma.f64 1 (+.f64 1/2 (/.f64 -1/12 N)) N)
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1/2 (/.f64 -1/12 N)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) N)
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (+.f64 1/2 (/.f64 -1/12 N)))
Outputs
(*.f64 -12 N)
(+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2)))
(fma.f64 -12 N (*.f64 -72 (*.f64 N N)))
(fma.f64 -12 N (*.f64 N (*.f64 N -72)))
(+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2))))
(fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 -72 (*.f64 N N))))
(fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 N (*.f64 N -72))))
(+.f64 (*.f64 -4320 (pow.f64 N 4)) (+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2)))))
(fma.f64 -4320 (pow.f64 N 4) (fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 -72 (*.f64 N N)))))
(fma.f64 -4320 (pow.f64 N 4) (fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 N (*.f64 N -72)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) (*.f64 (sqrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) (sqrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) (*.f64 (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))) (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) (*.f64 (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) (*.f64 (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))))
(pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 1)
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(pow.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 3)
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(pow.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 3) 1/3)
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(sqrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 2))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) 2))
(log.f64 (exp.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 3))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(expm1.f64 (log1p.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(exp.f64 (log.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(log1p.f64 (expm1.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(fma.f64 1 N (+.f64 1/2 (/.f64 -1/12 N)))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(fma.f64 1 (+.f64 1/2 (/.f64 -1/12 N)) N)
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) N)
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1/2 (/.f64 -1/12 N)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) N)
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N))
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (+.f64 1/2 (/.f64 -1/12 N)))

localize33.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))
0.1b
(/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))))
0.4b
(*.f64 1/12 (/.f64 1 N))
Compiler

Compiled 36 to 28 computations (22.2% saved)

series1.0ms (0%)

Counts
3 → 30
Calls

9 calls:

TimeVariablePointExpression
0.0ms
N
@inf
(/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))))
0.0ms
N
@0
(/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))))
0.0ms
N
@-inf
(/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))))
0.0ms
N
@0
(*.f64 1/12 (/.f64 1 N))
0.0ms
N
@0
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))

rewrite115.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1070×*-commutative
806×distribute-lft-in
788×distribute-rgt-in
764×associate-/r*
408×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
125451
2333951
Stop Event
node limit
Counts
3 → 310
Calls
Call 1
Inputs
(*.f64 1/12 (/.f64 1 N))
(/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))))
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/12 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/12 N)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 N 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 1 (/.f64 N 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 N) 12)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/12 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 N -1/2) (/.f64 1 (*.f64 1/12 (pow.f64 N -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 1/12 N)) (/.f64 1 (sqrt.f64 (/.f64 1/12 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (*.f64 1/12 (/.f64 1 (cbrt.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 1/12 N)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2) (/.f64 1 (cbrt.f64 (/.f64 1/12 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/12 (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/12 (pow.f64 N -1/2)) (/.f64 1 (pow.f64 N -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/12 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (/.f64 1 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/12 (sqrt.f64 N)) (neg.f64 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/12 (pow.f64 (cbrt.f64 N) 2)) (neg.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/12 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/12 (sqrt.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/12 (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 (neg.f64 N)))) (cbrt.f64 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/12 (neg.f64 (sqrt.f64 N))) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/12 (neg.f64 (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) 1) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2))) (sqrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 (sqrt.f64 N))) (sqrt.f64 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) 1) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (sqrt.f64 (cbrt.f64 N))) (sqrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N)))) (cbrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (sqrt.f64 N))) (cbrt.f64 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/12 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/12 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/12 N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/1728 (pow.f64 N 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/12 N))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1/144 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/12 N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/1728 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/12 N)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) N) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 (/.f64 1/12 N) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (/.f64 1/12 N)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 N 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 N 1/2)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) 1/2) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 N (/.f64 1/12 N))))))) (#(struct:change #<rule 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3))))) (*.f64 (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))) (*.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 (/.f64 1/144 N) N)) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))) (*.f64 (*.f64 (/.f64 1/12 N) (+.f64 N 1/2)) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))))) (#(struct:change 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#<rule egg-rr> (2) ((x fma.f64 1 N (-.f64 1/2 (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 N 1/2) (/.f64 -1/12 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 1/2 (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 N 1/2)) (sqrt.f64 (+.f64 N 1/2)) (/.f64 -1/12 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (-.f64 1/2 (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) (cbrt.f64 (+.f64 N 1/2)) (/.f64 -1/12 N))))))

simplify187.0ms (1.9%)

Algorithm
egg-herbie
Rules
866×associate-+l+
818×associate-*r*
766×associate-+r+
740×+-commutative
704×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075817148
1214416848
Stop Event
node limit
Counts
340 → 514
Calls
Call 1
Inputs
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(*.f64 -12 N)
(+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2)))
(+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2))))
(+.f64 (*.f64 -4320 (pow.f64 N 4)) (+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/12 N)
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N)))
N
(+.f64 N 1/2)
N
(+.f64 N 1/2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/12 N))) 1)
(/.f64 1/12 N)
(/.f64 1 (/.f64 N 1/12))
(/.f64 1 (*.f64 1 (/.f64 N 1/12)))
(/.f64 (/.f64 1 N) 12)
(/.f64 (/.f64 1/12 N) 1)
(/.f64 (pow.f64 N -1/2) (/.f64 1 (*.f64 1/12 (pow.f64 N -1/2))))
(/.f64 (sqrt.f64 (/.f64 1/12 N)) (/.f64 1 (sqrt.f64 (/.f64 1/12 N))))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (*.f64 1/12 (/.f64 1 (cbrt.f64 N)))))
(/.f64 (cbrt.f64 (/.f64 1/12 N)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2) (/.f64 1 (cbrt.f64 (/.f64 1/12 N))))
(/.f64 -1/12 (neg.f64 N))
(/.f64 (*.f64 1/12 (pow.f64 N -1/2)) (/.f64 1 (pow.f64 N -1/2)))
(/.f64 (*.f64 1/12 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (/.f64 1 (cbrt.f64 N))))
(/.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(/.f64 (/.f64 -1/12 (sqrt.f64 N)) (neg.f64 (sqrt.f64 N)))
(/.f64 (/.f64 -1/12 (pow.f64 (cbrt.f64 N) 2)) (neg.f64 (cbrt.f64 N)))
(/.f64 (/.f64 1/12 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 -1/12 (sqrt.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 N)))
(/.f64 (/.f64 -1/12 (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 (neg.f64 N)))) (cbrt.f64 (neg.f64 N)))
(/.f64 (/.f64 -1/12 (neg.f64 (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 -1/12 (neg.f64 (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) 1) (sqrt.f64 N))
(/.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N)))
(/.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2))) (sqrt.f64 (cbrt.f64 N)))
(/.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 (sqrt.f64 N))) (sqrt.f64 (sqrt.f64 N)))
(/.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) 1) (cbrt.f64 N))
(/.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (sqrt.f64 (cbrt.f64 N))) (sqrt.f64 (cbrt.f64 N)))
(/.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (cbrt.f64 N)))
(/.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N)))) (cbrt.f64 (cbrt.f64 N)))
(/.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (sqrt.f64 N))) (cbrt.f64 (sqrt.f64 N)))
(pow.f64 (/.f64 1/12 N) 1)
(pow.f64 (sqrt.f64 (/.f64 1/12 N)) 2)
(pow.f64 (cbrt.f64 (/.f64 1/12 N)) 3)
(pow.f64 (/.f64 1/1728 (pow.f64 N 3)) 1/3)
(neg.f64 (/.f64 -1/12 N))
(sqrt.f64 (/.f64 (/.f64 1/144 N) N))
(log.f64 (exp.f64 (/.f64 1/12 N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/12 N))))
(cbrt.f64 (/.f64 1/1728 (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 1/12 N)))
(exp.f64 (log.f64 (/.f64 1/12 N)))
(log1p.f64 (expm1.f64 (/.f64 1/12 N)))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) N) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 (/.f64 1/12 N) 1/2)))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (/.f64 1/12 N)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 N 1/2)))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 N 1/2)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (/.f64 1/12 N)))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) 1/2) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 N (/.f64 1/12 N))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (pow.f64 (+.f64 N 1/2) 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (pow.f64 (+.f64 N 1/2) 2)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 (/.f64 1/144 N) N))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2))))
(+.f64 (*.f64 N (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))) (*.f64 (+.f64 (/.f64 1/12 N) 1/2) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))))
(+.f64 (*.f64 (/.f64 1/12 N) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))) (*.f64 (+.f64 N 1/2) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))))
(+.f64 (*.f64 (+.f64 N 1/2) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))) (*.f64 (/.f64 1/12 N) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))) (*.f64 (+.f64 N (/.f64 1/12 N)) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))))
(+.f64 (*.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))) (*.f64 (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))))
(+.f64 (*.f64 (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))) (*.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))))
(+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 (/.f64 1/144 N) N)) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))) (*.f64 (*.f64 (/.f64 1/12 N) (+.f64 N 1/2)) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))
(*.f64 (/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 1)
(*.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2) (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2))
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(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 -1/12 N) (/.f64 -1/12 N))) (+.f64 N (-.f64 1/2 (/.f64 -1/12 N))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1/2) 2) (pow.f64 (+.f64 N 1/2) 2)) (*.f64 (/.f64 (/.f64 1/144 N) N) (/.f64 (/.f64 1/144 N) N))) (*.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 (/.f64 1/144 N) N))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1/2) 3) (pow.f64 (+.f64 N 1/2) 3)) (*.f64 (/.f64 1/1728 (pow.f64 N 3)) (/.f64 1/1728 (pow.f64 N 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) (+.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1/2 (/.f64 1/12 N)) 3)) (+.f64 (*.f64 N N) (*.f64 (-.f64 1/2 (/.f64 1/12 N)) (-.f64 (-.f64 1/2 (/.f64 1/12 N)) N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1/2 (/.f64 1/12 N)) 3)) (*.f64 1 (+.f64 (*.f64 N N) (*.f64 (-.f64 1/2 (/.f64 1/12 N)) (-.f64 (-.f64 1/2 (/.f64 1/12 N)) N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 3) (pow.f64 (/.f64 -1/12 N) 3)) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 -1/12 N) (-.f64 (/.f64 -1/12 N) (+.f64 N 1/2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 3) (pow.f64 (/.f64 -1/12 N) 3)) (*.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 -1/12 N) (-.f64 (/.f64 -1/12 N) (+.f64 N 1/2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1/2) 2) 3) (pow.f64 (/.f64 (/.f64 1/144 N) N) 3)) (*.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)) (+.f64 (*.f64 (pow.f64 (+.f64 N 1/2) 2) (pow.f64 (+.f64 N 1/2) 2)) (*.f64 (/.f64 (/.f64 1/144 N) N) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 (/.f64 1/144 N) N))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1/2) 3) 3) (pow.f64 (/.f64 1/1728 (pow.f64 N 3)) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) (+.f64 (*.f64 (pow.f64 (+.f64 N 1/2) 3) (pow.f64 (+.f64 N 1/2) 3)) (*.f64 (/.f64 1/1728 (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))))))
(/.f64 (-.f64 (*.f64 N (fma.f64 N N -1/4)) (*.f64 1/12 (+.f64 N -1/2))) (*.f64 N (+.f64 N -1/2)))
(/.f64 (-.f64 (*.f64 N (+.f64 1/8 (pow.f64 N 3))) (*.f64 1/12 (+.f64 1/4 (*.f64 N (+.f64 N -1/2))))) (*.f64 N (+.f64 1/4 (*.f64 N (+.f64 N -1/2)))))
(/.f64 (-.f64 (*.f64 N (+.f64 1/8 (pow.f64 N 3))) (*.f64 1/12 (+.f64 1/4 (*.f64 N (+.f64 N -1/2))))) (*.f64 1 (*.f64 N (+.f64 1/4 (*.f64 N (+.f64 N -1/2))))))
(/.f64 (/.f64 1 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2)) (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -2))) (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) -1)) (pow.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) -1))
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 1) (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) (sqrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2))) (sqrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) 1) (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2))) (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))) 1) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))) (sqrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) (sqrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))) (*.f64 (cbrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) (cbrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))) (cbrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) 1) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))))
(/.f64 (/.f64 (-.f64 (*.f64 N (fma.f64 N N -1/4)) (*.f64 1/12 (+.f64 N -1/2))) (+.f64 N -1/2)) N)
(/.f64 (/.f64 (-.f64 (*.f64 N (+.f64 1/8 (pow.f64 N 3))) (*.f64 1/12 (+.f64 1/4 (*.f64 N (+.f64 N -1/2))))) (+.f64 1/4 (*.f64 N (+.f64 N -1/2)))) N)
(pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 1)
(pow.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2)
(pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 3)
(pow.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 3) 1/3)
(neg.f64 (-.f64 -1/2 (+.f64 N (/.f64 -1/12 N))))
(sqrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 2))
(log.f64 (exp.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))
(cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 3))
(expm1.f64 (log.f64 (+.f64 3/2 (-.f64 N (/.f64 1/12 N)))))
(exp.f64 (log.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))
(log1p.f64 (expm1.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))
(fma.f64 1 N (-.f64 1/2 (/.f64 1/12 N)))
(fma.f64 1 (+.f64 N 1/2) (/.f64 -1/12 N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 1/2 (/.f64 1/12 N)))
(fma.f64 (sqrt.f64 (+.f64 N 1/2)) (sqrt.f64 (+.f64 N 1/2)) (/.f64 -1/12 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (-.f64 1/2 (/.f64 1/12 N)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) (cbrt.f64 (+.f64 N 1/2)) (/.f64 -1/12 N))
Outputs
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1/12 N)
(*.f64 -12 N)
(*.f64 N -12)
(+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2)))
(fma.f64 -12 N (*.f64 -72 (*.f64 N N)))
(fma.f64 -12 N (*.f64 N (*.f64 N -72)))
(+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2))))
(fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 -72 (*.f64 N N))))
(fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 N (*.f64 N -72))))
(+.f64 (*.f64 -4320 (pow.f64 N 4)) (+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2)))))
(fma.f64 -4320 (pow.f64 N 4) (fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 -72 (*.f64 N N)))))
(fma.f64 -4320 (pow.f64 N 4) (fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 N (*.f64 N -72)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 5/24 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 5/24 (pow.f64 N 4))) (/.f64 1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 5/24 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 5/24 (pow.f64 N 4))) (/.f64 1/2 (*.f64 N N))))
(/.f64 -1/12 N)
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N)))
(-.f64 1/2 (/.f64 1/12 N))
(+.f64 1/2 (/.f64 -1/12 N))
N
(+.f64 N 1/2)
N
(+.f64 N 1/2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/12 N))) 1)
(/.f64 1/12 N)
(/.f64 1/12 N)
(/.f64 1 (/.f64 N 1/12))
(/.f64 1/12 N)
(/.f64 1 (*.f64 1 (/.f64 N 1/12)))
(/.f64 1/12 N)
(/.f64 (/.f64 1 N) 12)
(/.f64 1/12 N)
(/.f64 (/.f64 1/12 N) 1)
(/.f64 1/12 N)
(/.f64 (pow.f64 N -1/2) (/.f64 1 (*.f64 1/12 (pow.f64 N -1/2))))
(/.f64 (pow.f64 N -1/2) (/.f64 12 (pow.f64 N -1/2)))
(*.f64 (pow.f64 N -1/2) (/.f64 (pow.f64 N -1/2) 12))
(/.f64 (sqrt.f64 (/.f64 1/12 N)) (/.f64 1 (sqrt.f64 (/.f64 1/12 N))))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 1/12 N)) 2) 1)
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (*.f64 1/12 (/.f64 1 (cbrt.f64 N)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) 1) (/.f64 1/12 (cbrt.f64 N)))
(*.f64 (/.f64 1/12 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N -2)))
(/.f64 (cbrt.f64 (/.f64 1/12 N)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2)))
(/.f64 1/12 N)
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2) (/.f64 1 (cbrt.f64 (/.f64 1/12 N))))
(/.f64 1/12 N)
(/.f64 -1/12 (neg.f64 N))
(/.f64 1/12 N)
(/.f64 (*.f64 1/12 (pow.f64 N -1/2)) (/.f64 1 (pow.f64 N -1/2)))
(/.f64 (pow.f64 N -1/2) (/.f64 12 (pow.f64 N -1/2)))
(*.f64 (pow.f64 N -1/2) (/.f64 (pow.f64 N -1/2) 12))
(/.f64 (*.f64 1/12 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (/.f64 1 (cbrt.f64 N))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) 1) (/.f64 1/12 (cbrt.f64 N)))
(*.f64 (/.f64 1/12 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N -2)))
(/.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 1/12 (*.f64 (sqrt.f64 N) (sqrt.f64 N)))
(/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(/.f64 1/12 (*.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 1/12 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 -1/12 (sqrt.f64 N)) (neg.f64 (sqrt.f64 N)))
(/.f64 1/12 (*.f64 (sqrt.f64 N) (sqrt.f64 N)))
(/.f64 (/.f64 -1/12 (pow.f64 (cbrt.f64 N) 2)) (neg.f64 (cbrt.f64 N)))
(/.f64 1/12 (*.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 1/12 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 1/12 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 1/12 (*.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 -1/12 (sqrt.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 N)))
(/.f64 -1/12 (*.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N))))
(/.f64 (/.f64 -1/12 (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 (neg.f64 N)))) (cbrt.f64 (neg.f64 N)))
(/.f64 -1/12 (*.f64 (cbrt.f64 (neg.f64 N)) (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 (neg.f64 N)))))
(/.f64 (/.f64 (/.f64 -1/12 (cbrt.f64 (neg.f64 N))) (cbrt.f64 (neg.f64 N))) (cbrt.f64 (neg.f64 N)))
(/.f64 (/.f64 -1/12 (neg.f64 (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 1/12 (*.f64 (sqrt.f64 N) (sqrt.f64 N)))
(/.f64 (/.f64 -1/12 (neg.f64 (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 1/12 (*.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 1/12 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) 1) (sqrt.f64 N))
(/.f64 1/12 (*.f64 (sqrt.f64 N) (sqrt.f64 N)))
(/.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N)))
(/.f64 (/.f64 1/12 (sqrt.f64 N)) (*.f64 (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 N)))
(/.f64 (/.f64 1/12 (sqrt.f64 N)) (*.f64 (cbrt.f64 N) (cbrt.f64 (sqrt.f64 N))))
(/.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2))) (sqrt.f64 (cbrt.f64 N)))
(/.f64 (/.f64 1/12 (sqrt.f64 N)) (*.f64 (sqrt.f64 (cbrt.f64 N)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2))))
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(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))) (cbrt.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) 1) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)))))))
(/.f64 (/.f64 (-.f64 (*.f64 N (fma.f64 N N -1/4)) (*.f64 1/12 (+.f64 N -1/2))) (+.f64 N -1/2)) N)
(/.f64 (+.f64 (*.f64 N (fma.f64 N N -1/4)) (*.f64 -1/12 (+.f64 N -1/2))) (*.f64 N (+.f64 N -1/2)))
(/.f64 (+.f64 (*.f64 N (fma.f64 N N -1/4)) (+.f64 1/24 (*.f64 -1/12 N))) (*.f64 N (+.f64 N -1/2)))
(/.f64 (/.f64 (-.f64 (*.f64 N (+.f64 1/8 (pow.f64 N 3))) (*.f64 1/12 (+.f64 1/4 (*.f64 N (+.f64 N -1/2))))) (+.f64 1/4 (*.f64 N (+.f64 N -1/2)))) N)
(/.f64 (-.f64 (*.f64 N (+.f64 (pow.f64 N 3) 1/8)) (+.f64 1/48 (*.f64 1/12 (*.f64 N (+.f64 N -1/2))))) (*.f64 N (+.f64 (*.f64 N (+.f64 N -1/2)) 1/4)))
(/.f64 (/.f64 (+.f64 (*.f64 N 1/8) (-.f64 (pow.f64 N 4) (+.f64 1/48 (*.f64 (+.f64 N -1/2) (*.f64 1/12 N))))) N) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/4))
(pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 1)
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))
(pow.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2)
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))
(pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 3)
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))
(pow.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 3) 1/3)
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))
(neg.f64 (-.f64 -1/2 (+.f64 N (/.f64 -1/12 N))))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))
(sqrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) 2))
(log.f64 (exp.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))
(cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 3))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))
(expm1.f64 (log.f64 (+.f64 3/2 (-.f64 N (/.f64 1/12 N)))))
(expm1.f64 (log.f64 (+.f64 (-.f64 N (/.f64 1/12 N)) 3/2)))
(exp.f64 (log.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))
(log1p.f64 (expm1.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))
(fma.f64 1 N (-.f64 1/2 (/.f64 1/12 N)))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))
(fma.f64 1 (+.f64 N 1/2) (/.f64 -1/12 N))
(+.f64 N (-.f64 1/2 (/.f64 1/12 N)))
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 1/2 (/.f64 1/12 N)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1/2 (/.f64 -1/12 N)))
(fma.f64 (sqrt.f64 (+.f64 N 1/2)) (sqrt.f64 (+.f64 N 1/2)) (/.f64 -1/12 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (-.f64 1/2 (/.f64 1/12 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1/2 (/.f64 -1/12 N)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) (cbrt.f64 (+.f64 N 1/2)) (/.f64 -1/12 N))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
0.3b
(/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))
0.4b
(/.f64 1/3 N)
Compiler

Compiled 41 to 26 computations (36.6% saved)

series2.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
0.0ms
N
@0
(/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))
0.0ms
N
@0
(/.f64 1/3 N)
0.0ms
N
@inf
(/.f64 1/3 N)
0.0ms
N
@-inf
(/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))
0.0ms
N
@inf
(/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))

rewrite100.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1842×associate-/l*
976×associate-/r/
878×associate-/l/
290×add-sqr-sqrt
272×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01269
128365
2419765
Stop Event
node limit
Counts
3 → 166
Calls
Call 1
Inputs
(/.f64 1/3 N)
(/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -1/2) (/.f64 1/3 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 N)) (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (cbrt.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 N -1/2)) (pow.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1/3 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 N)) (pow.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 N)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (neg.f64 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 N 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 N -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 N)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (/.f64 1/3 N)) (/.f64 1 (*.f64 N (neg.f64 N))))))) (#(struct:change #<rule 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simplify152.0ms (1.6%)

Algorithm
egg-herbie
Rules
956×associate-+r+
942×+-commutative
764×associate-*r*
642×associate-*l*
586×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04839450
114948834
269198834
Stop Event
node limit
Counts
190 → 276
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 N))) 1)
(*.f64 1/3 (/.f64 1 N))
(*.f64 (/.f64 1/3 N) 1)
(*.f64 1 (/.f64 1/3 N))
(*.f64 (/.f64 1 N) 1/3)
(*.f64 (pow.f64 N -1/2) (/.f64 1/3 (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)))
(*.f64 (cbrt.f64 (/.f64 1/3 N)) (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (cbrt.f64 (/.f64 1/3 N)))
(*.f64 -1/3 (/.f64 1 (neg.f64 N)))
(*.f64 (*.f64 1/3 (pow.f64 N -1/2)) (pow.f64 N -1/2))
(*.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1/3 (cbrt.f64 N)))
(*.f64 (/.f64 1/3 (sqrt.f64 N)) (pow.f64 N -1/2))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 1 (neg.f64 N)) -1/3)
(*.f64 (/.f64 1/3 (neg.f64 N)) -1)
(pow.f64 (/.f64 1/3 N) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 N)) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3)
(pow.f64 (*.f64 N 3) -1)
(pow.f64 (*.f64 1/27 (pow.f64 N -3)) 1/3)
(sqrt.f64 (*.f64 1/9 (pow.f64 N -2)))
(log.f64 (exp.f64 (/.f64 1/3 N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 N))))
(cbrt.f64 (*.f64 1/27 (pow.f64 N -3)))
(expm1.f64 (log1p.f64 (/.f64 1/3 N)))
(exp.f64 (log.f64 (/.f64 1/3 N)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 N)) 1))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))) (cbrt.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3)))) (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))) (cbrt.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2))))) (/.f64 (pow.f64 N 3) (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))))) (/.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))))))
(/.f64 (/.f64 N (/.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (*.f64 N N))
(/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2)) (-.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) (/.f64 1 N)))
(/.f64 (-.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))) (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))) (-.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (*.f64 (pow.f64 N 3) (-.f64 (*.f64 N N) (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))) (*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) 3)) (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))) (-.f64 (+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))) (*.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)) 3)) (*.f64 (pow.f64 N 3) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 (*.f64 N N) (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) 3)) (*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (*.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))))))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (neg.f64 N)) (*.f64 (*.f64 N N) -1)) (*.f64 (*.f64 N N) (neg.f64 N)))
(/.f64 (+.f64 N (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) 1)) (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) N))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) -1)) (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) (neg.f64 N)))
(/.f64 (+.f64 N (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N)) (*.f64 N N))
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (neg.f64 N)) (*.f64 N -1)) (*.f64 N (neg.f64 N)))
(/.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/3 N)) N) (*.f64 (*.f64 N (neg.f64 N)) 1)) (*.f64 (*.f64 N (neg.f64 N)) N))
(/.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/3 N)) (neg.f64 N)) (*.f64 (*.f64 N (neg.f64 N)) -1)) (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 N)))
(/.f64 (+.f64 N (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 N (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2))))
(/.f64 (+.f64 N (*.f64 N (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (*.f64 N N))
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 N (-.f64 1/2 (/.f64 1/3 N)))) (*.f64 N (*.f64 N (neg.f64 N))))
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 (neg.f64 N) (*.f64 N N)))
(/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2))))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (*.f64 N (neg.f64 N)))
(/.f64 (+.f64 (*.f64 -1 (*.f64 N (neg.f64 N))) (*.f64 (neg.f64 N) (-.f64 1/2 (/.f64 1/3 N)))) (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))) (neg.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))) (neg.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2))))))
(/.f64 (neg.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (neg.f64 (pow.f64 N 3)))
(pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 1)
(pow.f64 (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N)) 2)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) N) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))))
(exp.f64 (log.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))))
(fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 1 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 1 (/.f64 1 N) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) (/.f64 1 N))
Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 N))) 1)
(/.f64 1/3 N)
(*.f64 1/3 (/.f64 1 N))
(/.f64 1/3 N)
(*.f64 (/.f64 1/3 N) 1)
(/.f64 1/3 N)
(*.f64 1 (/.f64 1/3 N))
(/.f64 1/3 N)
(*.f64 (/.f64 1 N) 1/3)
(/.f64 1/3 N)
(*.f64 (pow.f64 N -1/2) (/.f64 1/3 (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)))
(/.f64 1/3 N)
(*.f64 (cbrt.f64 (/.f64 1/3 N)) (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2))
(/.f64 1/3 N)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (cbrt.f64 (/.f64 1/3 N)))
(/.f64 1/3 N)
(*.f64 -1/3 (/.f64 1 (neg.f64 N)))
(/.f64 1/3 N)
(*.f64 (*.f64 1/3 (pow.f64 N -1/2)) (pow.f64 N -1/2))
(/.f64 1/3 N)
(*.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1/3 (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1/3 (cbrt.f64 N)))
(/.f64 (/.f64 1/3 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 1/3 (sqrt.f64 N)) (pow.f64 N -1/2))
(*.f64 (pow.f64 N -1/2) (/.f64 1/3 (sqrt.f64 N)))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1/3 (cbrt.f64 N)))
(/.f64 (/.f64 1/3 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 1 (neg.f64 N)) -1/3)
(/.f64 1/3 N)
(*.f64 (/.f64 1/3 (neg.f64 N)) -1)
(/.f64 1/3 N)
(pow.f64 (/.f64 1/3 N) 1)
(/.f64 1/3 N)
(pow.f64 (sqrt.f64 (/.f64 1/3 N)) 2)
(/.f64 1/3 N)
(pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3)
(/.f64 1/3 N)
(pow.f64 (*.f64 N 3) -1)
(/.f64 1/3 N)
(pow.f64 (*.f64 1/27 (pow.f64 N -3)) 1/3)
(cbrt.f64 (*.f64 1/27 (pow.f64 N -3)))
(sqrt.f64 (*.f64 1/9 (pow.f64 N -2)))
(sqrt.f64 (*.f64 (pow.f64 N -2) 1/9))
(log.f64 (exp.f64 (/.f64 1/3 N)))
(/.f64 1/3 N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 N))))
(/.f64 1/3 N)
(cbrt.f64 (*.f64 1/27 (pow.f64 N -3)))
(expm1.f64 (log1p.f64 (/.f64 1/3 N)))
(/.f64 1/3 N)
(exp.f64 (log.f64 (/.f64 1/3 N)))
(/.f64 1/3 N)
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 N)) 1))
(/.f64 1/3 N)
(log1p.f64 (expm1.f64 (/.f64 1/3 N)))
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(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (*.f64 N (+.f64 -1/2 (/.f64 1/3 N))) 3)) (*.f64 (pow.f64 N 3) (fma.f64 (*.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N (-.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (pow.f64 N 4))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) 3)) (*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (*.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)) 3)) (/.f64 (-.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) (+.f64 (pow.f64 N -4) (*.f64 (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)) (+.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) 6)) (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)) (fma.f64 (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4)) (+.f64 (pow.f64 N -2) (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4))) (pow.f64 N -4)))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (neg.f64 N)) (*.f64 (*.f64 N N) -1)) (*.f64 (*.f64 N N) (neg.f64 N)))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3)
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N))
(/.f64 (+.f64 N (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) 1)) (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) N))
(/.f64 (+.f64 N (/.f64 N (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (/.f64 (pow.f64 N 3) (+.f64 -1/2 (/.f64 1/3 N))))
(/.f64 (+.f64 N (*.f64 (/.f64 N (+.f64 -1/2 (/.f64 1/3 N))) N)) (/.f64 (pow.f64 N 3) (+.f64 -1/2 (/.f64 1/3 N))))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) -1)) (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) (neg.f64 N)))
(/.f64 (fma.f64 -1 (/.f64 N (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (neg.f64 N)) (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 -1/2 (/.f64 1/3 N))))
(*.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (/.f64 N (+.f64 -1/2 (/.f64 1/3 N))) N)) (neg.f64 (pow.f64 N 3))) (+.f64 -1/2 (/.f64 1/3 N)))
(/.f64 (+.f64 N (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N)) (*.f64 N N))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3)
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N))
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (neg.f64 N)) (*.f64 N -1)) (*.f64 N (neg.f64 N)))
(/.f64 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) (neg.f64 N) (neg.f64 N)) (neg.f64 (*.f64 N N)))
(/.f64 (-.f64 (+.f64 1/2 (/.f64 -1/3 N)) N) (*.f64 N (neg.f64 N)))
(/.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/3 N)) N) (*.f64 (*.f64 N (neg.f64 N)) 1)) (*.f64 (*.f64 N (neg.f64 N)) N))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3)
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N))
(/.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/3 N)) (neg.f64 N)) (*.f64 (*.f64 N (neg.f64 N)) -1)) (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 N)))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3)
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N))
(/.f64 (+.f64 N (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 N (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2))))
(/.f64 (+.f64 N (/.f64 N (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (/.f64 (pow.f64 N 3) (+.f64 -1/2 (/.f64 1/3 N))))
(/.f64 (+.f64 N (*.f64 (/.f64 N (+.f64 -1/2 (/.f64 1/3 N))) N)) (/.f64 (pow.f64 N 3) (+.f64 -1/2 (/.f64 1/3 N))))
(/.f64 (+.f64 N (*.f64 N (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (*.f64 N N))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3)
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N))
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 N (-.f64 1/2 (/.f64 1/3 N)))) (*.f64 N (*.f64 N (neg.f64 N))))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3)
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N))
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 (neg.f64 N) (*.f64 N N)))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3)
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N))
(/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2))))
(/.f64 (fma.f64 -1 (/.f64 N (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (neg.f64 N)) (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 -1/2 (/.f64 1/3 N))))
(*.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (/.f64 N (+.f64 -1/2 (/.f64 1/3 N))) N)) (neg.f64 (pow.f64 N 3))) (+.f64 -1/2 (/.f64 1/3 N)))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (*.f64 N (neg.f64 N)))
(/.f64 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) (neg.f64 N) (neg.f64 N)) (neg.f64 (*.f64 N N)))
(/.f64 (-.f64 (+.f64 1/2 (/.f64 -1/3 N)) N) (*.f64 N (neg.f64 N)))
(/.f64 (+.f64 (*.f64 -1 (*.f64 N (neg.f64 N))) (*.f64 (neg.f64 N) (-.f64 1/2 (/.f64 1/3 N)))) (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N))))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3)
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))) (neg.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)))
(/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)) (pow.f64 N -2)) (-.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) (/.f64 1 N)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4)) (pow.f64 N -2)) (fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 -1 N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))) (neg.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) 3))) (neg.f64 (+.f64 (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 -1/2 (/.f64 1/3 N)))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) 3)) (+.f64 (pow.f64 N -2) (+.f64 (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4)) (*.f64 (pow.f64 N -3) (+.f64 1/2 (/.f64 -1/3 N)))))))
(/.f64 (neg.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (neg.f64 (pow.f64 N 3)))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3)
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N))
(pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 1)
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(pow.f64 (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N)) 2)
(pow.f64 (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N)) 2)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) N) 3)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3)
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N))
(pow.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 3) 1/3)
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) 2))
(fabs.f64 (fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)))
(log.f64 (exp.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))))
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))))
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 3))
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))))
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(exp.f64 (log.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))))
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))) 1))
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))))
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 1 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 1 (/.f64 1 N) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 1 N))
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) (/.f64 1 N))
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))

eval1.1s (10.8%)

Compiler

Compiled 35231 to 27243 computations (22.7% saved)

prune434.0ms (4.4%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New136651371
Fresh011
Picked011
Done246
Total1368111379
Error
0b
Counts
1379 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
46.5b
(/.f64 (+.f64 N (+.f64 1/2 (/.f64 1/12 N))) (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))))
30.4b
(/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N)))
30.5b
(/.f64 1 (-.f64 (+.f64 N 1/2) (/.f64 1/12 N)))
27.0b
(/.f64 1 (+.f64 N 1/2))
30.5b
(/.f64 1 N)
30.8b
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
46.1b
(*.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) (+.f64 (-.f64 N 1/2) (/.f64 1/12 N))) (+.f64 (/.f64 1/12 N) (+.f64 N -1/2)))
33.0b
(neg.f64 (log.f64 N))
0.0b
(log1p.f64 (/.f64 1 N))
61.0b
N
57.7b
2
Compiler

Compiled 119 to 91 computations (23.5% saved)

regimes26.0ms (0.3%)

Counts
25 → 1
Calls
Call 1
Inputs
2
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))
(/.f64 1 (-.f64 (+.f64 N 1/2) (/.f64 1/12 N)))
(/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))))
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))))
(/.f64 (+.f64 N (+.f64 1/2 (/.f64 1/12 N))) (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))))
(/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N)))
(*.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) (+.f64 (-.f64 N 1/2) (/.f64 1/12 N))) (+.f64 (/.f64 1/12 N) (+.f64 N -1/2)))
(neg.f64 (log.f64 N))
(log1p.f64 (/.f64 1 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(log1p.f64 (+.f64 (/.f64 1 N) 0))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(/.f64 1 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
Outputs
(log1p.f64 (/.f64 1 N))
Calls

2 calls:

12.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
ErrorSegmentsBranch
0.0b1N
0.0b1(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 279 to 187 computations (33% saved)

regimes24.0ms (0.2%)

Counts
14 → 2
Calls
Call 1
Inputs
2
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))
(/.f64 1 (-.f64 (+.f64 N 1/2) (/.f64 1/12 N)))
(/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))))
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))))
(/.f64 (+.f64 N (+.f64 1/2 (/.f64 1/12 N))) (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))))
(/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N)))
(*.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) (+.f64 (-.f64 N 1/2) (/.f64 1/12 N))) (+.f64 (/.f64 1/12 N) (+.f64 N -1/2)))
(neg.f64 (log.f64 N))
Outputs
(neg.f64 (log.f64 N))
(/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N)))
Calls

1 calls:

20.0ms
N
Results
ErrorSegmentsBranch
1.0b2N
Compiler

Compiled 155 to 110 computations (29% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
1.4971490473568511e-5
0.9245735378007891
Results
17.0ms128×body256valid
Compiler

Compiled 252 to 201 computations (20.2% saved)

regimes14.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
2
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))
(/.f64 1 (-.f64 (+.f64 N 1/2) (/.f64 1/12 N)))
(/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))))
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))))
(/.f64 (+.f64 N (+.f64 1/2 (/.f64 1/12 N))) (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))))
(/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N)))
(*.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) (+.f64 (-.f64 N 1/2) (/.f64 1/12 N))) (+.f64 (/.f64 1/12 N) (+.f64 N -1/2)))
Outputs
(/.f64 1 (+.f64 N 1/2))
Calls

1 calls:

10.0ms
N
Results
ErrorSegmentsBranch
27.0b1N
Compiler

Compiled 152 to 108 computations (28.9% saved)

regimes7.0ms (0.1%)

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

1 calls:

7.0ms
N
Results
ErrorSegmentsBranch
27.7b2N
Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
1.4971490473568511e-5
0.9245735378007891
Results
16.0ms128×body256valid
Compiler

Compiled 76 to 65 computations (14.5% saved)

regimes12.0ms (0.1%)

Accuracy

Total -3.4b remaining (-5.8%)

Threshold costs -3.4b (-5.8%)

Counts
2 → 1
Calls
Call 1
Inputs
2
N
Outputs
2
Calls

1 calls:

3.0ms
N
Results
ErrorSegmentsBranch
57.7b1N
Compiler

Compiled 5 to 3 computations (40% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
26×+-commutative
26×*-commutative
16×neg-sub0
14×sub-neg
12×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033127
144127
255127
372127
494127
5102127
6108127
7113127
8115127
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 3152519739159347/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N))))
(/.f64 1 (+.f64 N 1/2))
(if (<=.f64 N 1/2) 2 (/.f64 1 N))
2
Outputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 3152519739159347/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N))))
(if (<=.f64 N 3152519739159347/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 1 (+.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (+.f64 N (/.f64 (/.f64 -1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2))))))
(/.f64 1 (+.f64 N 1/2))
(if (<=.f64 N 1/2) 2 (/.f64 1 N))
2
Compiler

Compiled 53 to 42 computations (20.8% saved)

soundness180.0ms (1.8%)

Algorithm
egg-herbie
Rules
900×fma-def
878×associate-/r*
830×*-commutative
796×distribute-lft-in
774×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01721609
14241559
217121547
368861547
063717
1152619
2582523
32222515
45340515
Stop Event
node limit
node limit
Compiler

Compiled 134 to 111 computations (17.2% saved)

end39.0ms (0.4%)

Compiler

Compiled 49 to 38 computations (22.4% saved)

Profiling

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