Details

Time bar (total: 9.1s)

analyze2.0ms (0%)

Algorithm
1×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)

sample1.7s (19%)

Results
723.0ms1998×body1024valid
654.0ms4953×body256valid
209.0ms1035×body512valid
128.0ms270×body2048valid
Bogosity

preprocess10.0ms (0.1%)

Algorithm
2×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
1×saturated
1×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)

simplify19.0ms (0.2%)

Algorithm
1×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
1×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
30.8b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.8b
(-.f64 (log1p.f64 N) (log.f64 N))
▶30.8b
(-.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
✓2.6b
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
✓3.7b
(log.f64 (+.f64 N 1))
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
@0
(log.f64 (+.f64 N 1))
0.0ms
N
@-inf
(log.f64 (+.f64 N 1))
0.0ms
N
@inf
(log.f64 (+.f64 N 1))
0.0ms
N
@inf
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

rewrite104.0ms (1.1%)

Algorithm
1×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
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(log.f64 (+.f64 N 1))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
((#(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)))))
((#(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)))))))

simplify53.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
722×unswap-sqr
668×distribute-lft-in
638×associate-+l+
618×distribute-rgt-in
556×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01962072
14981920
220421910
Stop Event
1×node limit
Counts
82 → 129
Calls
Call 1
Inputs
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 -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 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)
(+.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)))
Outputs
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 -1/4 (pow.f64 N 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 (/.f64 1 N) (log.f64 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 (log.f64 N) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(+.f64 (/.f64 1 N) (-.f64 (log.f64 N) (/.f64 (/.f64 1/2 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 (fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.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 (/.f64 1/2 N) N)))
(+.f64 (/.f64 1 N) (+.f64 (log.f64 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N))))
(+.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 (+.f64 (log.f64 -1) (+.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 (/.f64 1/2 N) N))))
(+.f64 (/.f64 1 N) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1))) (/.f64 (/.f64 1/2 N) N)))
(*.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 (*.f64 N -1/2)) (-.f64 N (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 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (-.f64 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 (/.f64 1/2 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 (/.f64 1 N) (/.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 (/.f64 1/2 N) N)))
(-.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 (/.f64 1/2 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 (/.f64 1 N) (/.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 (/.f64 1/2 N) N)))
(-.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 -1/4 (pow.f64 N 4))))
(+.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 (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)
(+.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))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.6b
(-.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))

rewrite53.0ms (0.6%)

Algorithm
1×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
1×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)))))))

simplify66.0ms (0.7%)

Algorithm
1×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
1×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))

eval45.0ms (0.5%)

Compiler

Compiled 2634 to 1333 computations (49.4% saved)

prune23.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1918199
Fresh000
Picked011
Done101
Total1929201
Error
0.1b
Counts
201 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.9b
(/.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)))))
▶29.3b
(/.f64 1 N)
▶30.5b
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶29.9b
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
✓30.8b
(-.f64 (log1p.f64 N) (log.f64 N))
▶33.1b
(-.f64 N (log.f64 N))
30.3b
(+.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)))))
33.7b
(neg.f64 (log.f64 N))
30.7b
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 190 to 132 computations (30.5% saved)

localize2.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓0.2b
(/.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
@0
(-.f64 (/.f64 1 N) (/.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
@inf
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))

rewrite177.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1316×associate-/l*
1010×*-commutative
676×associate-/r/
504×associate-/l/
480×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
120632
2295332
Stop Event
1×node limit
Counts
2 → 197
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 (/.f64 1/2 (sqrt.f64 N)) 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 (pow.f64 N -2)) -1)))) (#(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 (/.f64 1/2 (sqrt.f64 N)) 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 (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 (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 (*.f64 N (cbrt.f64 N))) (/.f64 1 (pow.f64 (cbrt.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 (/.f64 (pow.f64 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simplify359.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
994×associate-+r+
836×associate-+l+
796×+-commutative
718×fma-def
560×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04889791
114447993
263207993
Stop Event
1×node limit
Counts
221 → 315
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))
(/.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 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(*.f64 (/.f64 1 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1)))) (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 N (/.f64 N (*.f64 N 2)))) (*.f64 N N))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (*.f64 N N) 3)))) (+.f64 (pow.f64 N -2) (*.f64 (/.f64 1/2 (pow.f64 N 3)) (-.f64 (/.f64 1/2 N) 1))))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (*.f64 N (+.f64 N 1/2))) (pow.f64 N 3))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 N (*.f64 N (*.f64 N 2)))) (*.f64 N (*.f64 N (*.f64 N 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (neg.f64 N) (*.f64 N (/.f64 -1/2 N)))) (neg.f64 (*.f64 N N)))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (neg.f64 (*.f64 1/2 N)) (neg.f64 (*.f64 N N)))) (neg.f64 (pow.f64 N 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (neg.f64 N) (*.f64 N (*.f64 N -2)))) (neg.f64 (*.f64 N (*.f64 N (*.f64 N 2)))))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 N (*.f64 (neg.f64 N) (/.f64 -1/2 N)))) (*.f64 N N))
(*.f64 (/.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) (-.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1)) (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1))))) (-.f64 (pow.f64 N -2) (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1))))
(*.f64 (/.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) (+.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1)) 3))) (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1)) (-.f64 (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1)) (pow.f64 N -2)))))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N)) -1)
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) 1) (/.f64 1 N))
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) (sqrt.f64 N)) (pow.f64 N -1/2))
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) (neg.f64 N)) -1)
(*.f64 (/.f64 (/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) N) 1) (/.f64 1 N))
(*.f64 (/.f64 (/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) N) (sqrt.f64 N)) (pow.f64 N -1/2))
(*.f64 (/.f64 (/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 (/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) N) (neg.f64 N)) -1)
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
(/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))))
(/.f64 (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (/.f64 (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) (+.f64 (pow.f64 N -2) (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1))))
(/.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1))) (/.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (*.f64 N N))
(/.f64 (sqrt.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N)))) (/.f64 (*.f64 N N) (sqrt.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))) (/.f64 (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (sqrt.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)))))
(/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 N (sqrt.f64 (+.f64 1 (/.f64 -1/2 N)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))) (/.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1))) (sqrt.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N)))) (cbrt.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))))) (/.f64 (*.f64 N N) (cbrt.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))) (cbrt.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)))) (/.f64 (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (cbrt.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (cbrt.f64 (+.f64 1 (/.f64 -1/2 N)))) (/.f64 N (cbrt.f64 (+.f64 1 (/.f64 -1/2 N)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))) (cbrt.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))))) (/.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1))) (cbrt.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))))))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(/.f64 (/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) N) N)
(/.f64 (+.f64 (*.f64 N N) (*.f64 (*.f64 N (/.f64 -1/2 N)) (/.f64 N (*.f64 N 2)))) (*.f64 (*.f64 N N) (+.f64 N (/.f64 N (*.f64 N 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))) (*.f64 (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 (pow.f64 N -2) (+.f64 1 (*.f64 (pow.f64 N -2) 1/4)))))
(/.f64 (+.f64 1 (*.f64 -1/4 (pow.f64 N -2))) (+.f64 N (/.f64 N (*.f64 N 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (*.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)) (/.f64 1/8 (pow.f64 (*.f64 N N) 3)))) (*.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1))) (+.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (*.f64 N N) 3)))))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 3)) (-.f64 (*.f64 (pow.f64 N -2) (+.f64 1 (*.f64 (pow.f64 N -2) 1/4))) (neg.f64 (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (/.f64 N (*.f64 N 2)) 3)) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) (*.f64 (/.f64 N (*.f64 N 2)) (+.f64 N (/.f64 N (*.f64 N 2)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2) 3)) (*.f64 (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2) (*.f64 (pow.f64 N -2) (+.f64 1 (*.f64 (pow.f64 N -2) 1/4)))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 1/2 N) 3)) (*.f64 N (+.f64 1 (*.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/2 N) 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 1/8 (pow.f64 (*.f64 N N) 3)) 3)) (*.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (/.f64 1/2 N) 1))) (+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (*.f64 (/.f64 1/8 (pow.f64 (*.f64 N N) 3)) (+.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (*.f64 N N) 3)))))))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2))))
(/.f64 (+.f64 (neg.f64 (*.f64 N N)) (*.f64 1/2 N)) (neg.f64 (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 N (*.f64 N -2)) N) (neg.f64 (*.f64 N (*.f64 N (*.f64 N 2)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 -1 N)))
(/.f64 (+.f64 (neg.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 -1 (/.f64 -1/2 N)) (neg.f64 N))
(/.f64 (+.f64 (neg.f64 N) (/.f64 N (*.f64 N 2))) (neg.f64 (*.f64 N N)))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N)))
(neg.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 -1 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 -1/2 N))) (neg.f64 (*.f64 N N))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 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 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))
Outputs
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.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 (+.f64 1 (/.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 (+.f64 1 (/.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 (+.f64 1 (/.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 (/.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 (+.f64 1 (/.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 (+.f64 1 (/.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 (/.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 (+.f64 1 (/.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 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (*.f64 N N))
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 1 N) (/.f64 1/2 N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (pow.f64 N -1/2) (*.f64 (/.f64 1/2 N) (pow.f64 N -1/2)))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (pow.f64 N -1/2) (/.f64 (/.f64 1/2 (sqrt.f64 N)) N))
(*.f64 (/.f64 1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1/2) N))
(*.f64 (sqrt.f64 (/.f64 1/2 N)) (/.f64 (sqrt.f64 (/.f64 1/2 N)) N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.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 1/2 (*.f64 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 1/2 (pow.f64 N -2))
(*.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 1/2 (pow.f64 N -2))
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(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(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))

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)

series7.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
N
@0
(-.f64 N (log.f64 N))
3.0ms
N
@-inf
(-.f64 N (log.f64 N))
1.0ms
N
@inf
(-.f64 N (log.f64 N))

rewrite200.0ms (2.2%)

Algorithm
1×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
1×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)))))))

simplify54.0ms (0.6%)

Algorithm
1×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
1×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))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
✓0.3b
(/.f64 1/2 (*.f64 N N))
✓0.3b
(/.f64 1/3 (pow.f64 N 3))
✓11.0b
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
Compiler

Compiled 49 to 33 computations (32.7% saved)

series2.0ms (0%)

Counts
4 → 36
Calls

12 calls:

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

rewrite147.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1100×distribute-lft-in
816×associate-/r/
798×associate-/l*
476×associate-/l/
402×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01494
133186
2472386
Stop Event
1×node limit
Counts
4 → 284
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/2 (*.f64 N N))
(+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
Outputs
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3)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (/.f64 1/3 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (/.f64 1 N))))))

simplify249.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1224×associate-*r*
928×associate-/r*
834×associate-*l*
828×*-commutative
748×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076920888
1238620186
Stop Event
1×node limit
Counts
320 → 497
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 (*.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 1/2 (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 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (/.f64 1 N) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 1))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 1) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 1) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 1 N) (+.f64 (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 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 1 N) (+.f64 (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 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 1 N) (*.f64 1 (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 1)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1 N) (*.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 (/.f64 1 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 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1 N) (*.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 (/.f64 1 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 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1 N) (*.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 (/.f64 1 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 1/3 (pow.f64 N 3)) (+.f64 (+.f64 (/.f64 1 N) (*.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)) (+.f64 (-.f64 (/.f64 1 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 1/3 (pow.f64 N 3)) (*.f64 1 (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 1 (-.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (+.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 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (+.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 1/3 (pow.f64 N -3) (/.f64 1 N)) (+.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 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (+.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 (/.f64 1 N) (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 (+.f64 (/.f64 1 N) (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 (+.f64 (/.f64 1 N) (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 (+.f64 (/.f64 1 N) (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 (+.f64 (/.f64 1 N) (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 (+.f64 (/.f64 1 N) (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 (+.f64 (/.f64 1 N) (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 (+.f64 (/.f64 1 N) (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)))))
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(pow.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) 1/3)
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 (/.f64 1 N) (/.f64 1/2 N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (pow.f64 N -2) 1/2)
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(*.f64 -1/2 (/.f64 1 (*.f64 N (neg.f64 N))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 1/2 (pow.f64 N 3/2)) (pow.f64 N -1/2))
(*.f64 (/.f64 (/.f64 1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 1 (*.f64 N (neg.f64 N))) -1/2)
(*.f64 (/.f64 (/.f64 1/2 N) (neg.f64 N)) -1)
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(pow.f64 (*.f64 N (/.f64 N 1/2)) -1)
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(sqrt.f64 (/.f64 1/4 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 N))) (-.f64 1 (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3)))) (-.f64 1 (/.f64 1 N)))
(-.f64 (/.f64 (pow.f64 N -2) (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3)))) (/.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3)))))
(-.f64 (+.f64 (/.f64 1 N) (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3))))) 1)
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (exp.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))
(*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (/.f64 1 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3)))))
(*.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4))))))
(*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (/.f64 1 (pow.f64 N 4)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3)))) (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4))))) (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))))
(*.f64 (/.f64 1 (pow.f64 N 4)) (+.f64 (pow.f64 N 3) (*.f64 N 1/3)))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (+.f64 (+.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (/.f64 1/3 (pow.f64 N 4))))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (pow.f64 N 3) (*.f64 N 1/3))) (pow.f64 N 4))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (*.f64 3 (pow.f64 N 3)) N)) (*.f64 N (*.f64 3 (pow.f64 N 3))))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (neg.f64 (pow.f64 N 3)) (*.f64 N -1/3))) (*.f64 N (neg.f64 (pow.f64 N 3))))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (*.f64 -1 (*.f64 3 (pow.f64 N 3))) (*.f64 (neg.f64 N) 1))) (*.f64 (neg.f64 N) (*.f64 3 (pow.f64 N 3))))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (neg.f64 (pow.f64 N 3)) (*.f64 (neg.f64 N) 1/3))) (*.f64 (neg.f64 N) (pow.f64 N 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (*.f64 -1 (neg.f64 (pow.f64 N 3))) (*.f64 (neg.f64 N) -1/3))) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (-.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))))) (+.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (/.f64 1/3 (pow.f64 N 4))))
(*.f64 (/.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (+.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4))))) (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4))))))
(/.f64 1 (/.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(/.f64 N (/.f64 (pow.f64 N 4) (+.f64 1/3 (*.f64 N N))))
(/.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (/.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3)))))
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))))
(/.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))))
(/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(/.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 4))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3))) (/.f64 (pow.f64 N 4) (sqrt.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (sqrt.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))) (/.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (sqrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3))) (cbrt.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)))) (/.f64 (pow.f64 N 4) (cbrt.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (cbrt.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))))) (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (cbrt.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))))) (/.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (/.f64 N (/.f64 N (+.f64 1/3 (*.f64 N N)))) (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (*.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (-.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))))
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 (*.f64 N 1/3) (*.f64 N 1/3))) (*.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 3) (*.f64 N 1/3))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 N -2)) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)))
(/.f64 (-.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/9 (pow.f64 N 6)))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (+.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) 3) (pow.f64 (pow.f64 N -3) 3)) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (-.f64 (*.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (*.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (*.f64 N 1/3) 3)) (*.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 6) (-.f64 (*.f64 (*.f64 N 1/3) (*.f64 N 1/3)) (*.f64 (pow.f64 N 3) (*.f64 N 1/3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 1/9 (pow.f64 N 6)) 3)) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (+.f64 (*.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/9 (pow.f64 N 6))) (*.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))))))
(/.f64 (+.f64 N (*.f64 3 (pow.f64 N 3))) (*.f64 N (*.f64 3 (pow.f64 N 3))))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 3)) (*.f64 N -1/3)) (*.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 -1 (*.f64 3 (pow.f64 N 3))) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 3 (pow.f64 N 3))))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 3)) (*.f64 (neg.f64 N) 1/3)) (*.f64 (neg.f64 N) (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 -1 (neg.f64 (pow.f64 N 3))) (*.f64 (neg.f64 N) -1/3)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 N (*.f64 (*.f64 3 (pow.f64 N 3)) 1)) (*.f64 (*.f64 3 (pow.f64 N 3)) N))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (*.f64 3 (pow.f64 N 3)) -1)) (*.f64 (*.f64 3 (pow.f64 N 3)) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 1/3 (neg.f64 N)) (*.f64 (pow.f64 N 3) -1)) (*.f64 (pow.f64 N 3) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 -1/3 N) (*.f64 (neg.f64 (pow.f64 N 3)) 1)) (*.f64 (neg.f64 (pow.f64 N 3)) N))
(/.f64 (+.f64 (*.f64 -1/3 (neg.f64 N)) (*.f64 (neg.f64 (pow.f64 N 3)) -1)) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3))) (neg.f64 (pow.f64 N 4)))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 1 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (/.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 (*.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))))
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(/.f64 (/.f64 (-.f64 (pow.f64 N -4) (/.f64 (/.f64 1/81 (pow.f64 N 6)) (pow.f64 N 6))) (+.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))) (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -3) -1/3)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) 3) (pow.f64 (pow.f64 N -3) 3)) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (-.f64 (*.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (*.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) 3)) (*.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4)))) (+.f64 (pow.f64 N -6) (*.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 N -3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 N -3) 3) (*.f64 1/19683 (pow.f64 (pow.f64 (pow.f64 N -3) 3) 3))) (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4))))) (+.f64 (pow.f64 N -6) (*.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 N -3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (*.f64 N 1/3) 3)) (*.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 6) (-.f64 (*.f64 (*.f64 N 1/3) (*.f64 N 1/3)) (*.f64 (pow.f64 N 3) (*.f64 N 1/3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 3) (*.f64 (pow.f64 N 3) 1/27)) (*.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 6) (*.f64 (*.f64 1/3 N) (-.f64 (*.f64 1/3 N) (pow.f64 N 3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 3) (*.f64 (pow.f64 N 3) 1/27)) (pow.f64 N 4)) (+.f64 (pow.f64 N 6) (-.f64 (*.f64 N (*.f64 1/9 N)) (*.f64 1/3 (pow.f64 N 4)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 1/9 (pow.f64 N 6)) 3)) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (+.f64 (*.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/9 (pow.f64 N 6))) (*.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (/.f64 1/729 (pow.f64 (pow.f64 N 6) 3))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -3) -1/3)) (+.f64 (pow.f64 N -4) (*.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (/.f64 1/729 (pow.f64 (pow.f64 N 6) 3))) (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -3) -1/3))) (+.f64 (pow.f64 N -4) (*.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (+.f64 N (*.f64 3 (pow.f64 N 3))) (*.f64 N (*.f64 3 (pow.f64 N 3))))
(/.f64 (+.f64 N (*.f64 3 (pow.f64 N 3))) (*.f64 3 (pow.f64 N 4)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 3)) (*.f64 N -1/3)) (*.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (*.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (neg.f64 (pow.f64 N 4)))
(/.f64 (+.f64 (*.f64 -1 (*.f64 3 (pow.f64 N 3))) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 3 (pow.f64 N 3))))
(/.f64 (+.f64 (neg.f64 N) (*.f64 -3 (pow.f64 N 3))) (*.f64 3 (*.f64 N (neg.f64 (pow.f64 N 3)))))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 (pow.f64 N 3) -3)) 3) (neg.f64 (pow.f64 N 4)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 3)) (*.f64 (neg.f64 N) 1/3)) (*.f64 (neg.f64 N) (pow.f64 N 3)))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (*.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (neg.f64 (pow.f64 N 4)))
(/.f64 (+.f64 (*.f64 -1 (neg.f64 (pow.f64 N 3))) (*.f64 (neg.f64 N) -1/3)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))
(/.f64 (fma.f64 -1/3 (neg.f64 N) (neg.f64 (neg.f64 (pow.f64 N 3)))) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) 1)) (neg.f64 (neg.f64 (pow.f64 N 4))))
(/.f64 (+.f64 N (*.f64 (*.f64 3 (pow.f64 N 3)) 1)) (*.f64 (*.f64 3 (pow.f64 N 3)) N))
(/.f64 (+.f64 N (*.f64 3 (pow.f64 N 3))) (*.f64 N (*.f64 3 (pow.f64 N 3))))
(/.f64 (+.f64 N (*.f64 3 (pow.f64 N 3))) (*.f64 3 (pow.f64 N 4)))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (*.f64 3 (pow.f64 N 3)) -1)) (*.f64 (*.f64 3 (pow.f64 N 3)) (neg.f64 N)))
(/.f64 (+.f64 (neg.f64 N) (*.f64 -3 (pow.f64 N 3))) (*.f64 3 (*.f64 N (neg.f64 (pow.f64 N 3)))))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 (pow.f64 N 3) -3)) 3) (neg.f64 (pow.f64 N 4)))
(/.f64 (+.f64 (*.f64 1/3 (neg.f64 N)) (*.f64 (pow.f64 N 3) -1)) (*.f64 (pow.f64 N 3) (neg.f64 N)))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (*.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (neg.f64 (pow.f64 N 4)))
(/.f64 (+.f64 (*.f64 -1/3 N) (*.f64 (neg.f64 (pow.f64 N 3)) 1)) (*.f64 (neg.f64 (pow.f64 N 3)) N))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (*.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (neg.f64 (pow.f64 N 4)))
(/.f64 (+.f64 (*.f64 -1/3 (neg.f64 N)) (*.f64 (neg.f64 (pow.f64 N 3)) -1)) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 N)))
(/.f64 (fma.f64 -1/3 (neg.f64 N) (neg.f64 (neg.f64 (pow.f64 N 3)))) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) 1)) (neg.f64 (neg.f64 (pow.f64 N 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6)))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -3) -1/3))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 N -2)) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -3) -1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 4))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))) (neg.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3))) (neg.f64 (pow.f64 N 4)))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (*.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (fma.f64 -1/3 N (neg.f64 (pow.f64 N 3))) (neg.f64 (pow.f64 N 4)))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 1)
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2)
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 3)
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) 1/3)
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 1))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(fma.f64 1 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(fma.f64 1 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 1 N))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2) (/.f64 1 N))
(+.f64 (/.f64 1 N) (pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (/.f64 1 N))
(+.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 3) (/.f64 1 N))
(+.f64 (/.f64 1 N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 3))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(pow.f64 (log1p.f64 N) 3)
✓0.5b
(*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))
✓0.8b
(pow.f64 (log.f64 N) 3)
✓2.5b
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
Compiler

Compiled 78 to 30 computations (61.5% saved)

series43.0ms (0.5%)

Counts
4 → 44
Calls

12 calls:

TimeVariablePointExpression
17.0ms
N
@0
(pow.f64 (log.f64 N) 3)
14.0ms
N
@-inf
(pow.f64 (log.f64 N) 3)
5.0ms
N
@inf
(pow.f64 (log.f64 N) 3)
2.0ms
N
@-inf
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
1.0ms
N
@inf
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))

rewrite119.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1198×associate-*r/
1140×distribute-lft-in
1002×associate-*l/
304×associate-/r*
266×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01274
127074
2350074
Stop Event
1×node limit
Counts
4 → 286
Calls
Call 1
Inputs
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(pow.f64 (log.f64 N) 3)
(*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (log1p.f64 N) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (log.f64 N) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (log.f64 N) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 N) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 N)) (*.f64 (sqrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) 1) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 3) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 N) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 N) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 3)))))))

simplify196.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1224×associate-*r*
1104×associate-/l*
1086×associate-*l*
986×associate-+r+
902×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091825044
1269824268
Stop Event
1×node limit
Counts
330 → 522
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (pow.f64 N 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3)))
(+.f64 (*.f64 7/4 (pow.f64 N 5)) (+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2)) N)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N) (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3)))))))))))
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(/.f64 (/.f64 (*.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (/.f64 (*.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (/.f64 (*.f64 (log.f64 N) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 1) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (/.f64 (*.f64 (log.f64 N) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (/.f64 (*.f64 (log.f64 N) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))) (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) (pow.f64 (log.f64 N) 2)) (log.f64 N)) 1) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (log.f64 N)) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (log.f64 N)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (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)) (log.f64 N)) (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (log.f64 N)) 1) (+.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) 3) (pow.f64 (log.f64 N) 3)) (log.f64 N)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) (sqrt.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) 3) (pow.f64 (log.f64 N) 3)) (log.f64 N)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))) (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 (log.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (*.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (sqrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (*.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (cbrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (cbrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) (cbrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 1)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (pow.f64 N (+.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 N (+.f64 (log1p.f64 N) (log.f64 N))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (log.f64 N) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log1p.f64 (-.f64 (pow.f64 N (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(fma.f64 (log1p.f64 N) (log.f64 N) (pow.f64 (log.f64 N) 2))
(fma.f64 (log.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) 2))
(fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3))) 1)
(*.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2))
(*.f64 (pow.f64 (log1p.f64 N) 3) 1)
(*.f64 1 (pow.f64 (log1p.f64 N) 3))
(*.f64 (sqrt.f64 (log1p.f64 N)) (*.f64 (sqrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(*.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(*.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N))
(*.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) 1) (log1p.f64 N))
(*.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 3) (log1p.f64 N))
(sqrt.f64 (pow.f64 (log1p.f64 N) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 3)))
Outputs
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(neg.f64 (pow.f64 (log.f64 N) 3))
(pow.f64 (neg.f64 (log.f64 N)) 3)
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (pow.f64 N 3))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (pow.f64 N 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3)))
(fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3)))
(+.f64 (*.f64 7/4 (pow.f64 N 5)) (+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3))))
(fma.f64 7/4 (pow.f64 N 5) (fma.f64 -1 (pow.f64 (log.f64 N) 3) (fma.f64 -3/2 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2)) N)
(/.f64 (*.f64 3 (pow.f64 (neg.f64 (log.f64 N)) 2)) N)
(*.f64 3 (/.f64 (pow.f64 (log.f64 N) 2) N))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (*.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (/.f64 (*.f64 N N) (neg.f64 (log.f64 N)))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (*.f64 3 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N)))))
(fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 (log.f64 N) 2) N) N) (+.f64 (*.f64 3 (/.f64 (pow.f64 (log.f64 N) 2) N)) (+.f64 (/.f64 (*.f64 (*.f64 (log.f64 N) 1) (-.f64 1 (log.f64 N))) (*.f64 N N)) (/.f64 (*.f64 2 (log.f64 N)) (*.f64 N N)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N) (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3)))))))))))
(fma.f64 -1 (/.f64 (fma.f64 -2/3 (neg.f64 (log.f64 N)) -1) (/.f64 (pow.f64 N 3) (neg.f64 (log.f64 N)))) (+.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (*.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (/.f64 (*.f64 N N) (neg.f64 (log.f64 N)))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N)))))))))
(+.f64 (fma.f64 2 (/.f64 (pow.f64 (log.f64 N) 2) N) (+.f64 (/.f64 (*.f64 -2 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 (log.f64 N) 2) N) N) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (log.f64 N) 2) N)) (+.f64 (/.f64 (*.f64 (*.f64 (log.f64 N) 1) (-.f64 1 (log.f64 N))) (*.f64 N N)) (/.f64 (*.f64 2 (log.f64 N)) (*.f64 N N))))))) (+.f64 (/.f64 (*.f64 (*.f64 (log.f64 N) 1) (+.f64 -1 (*.f64 (log.f64 N) 2/3))) (pow.f64 N 3)) (/.f64 1 (pow.f64 N 3))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (pow.f64 N 4))) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 11/12 (*.f64 1/2 (log.f64 (/.f64 1 N))))) (pow.f64 N 4))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 (*.f64 -4/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))))))))) (/.f64 1 (pow.f64 N 4)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -2/3 (neg.f64 (log.f64 N)) -1) (/.f64 (pow.f64 N 3) (neg.f64 (log.f64 N)))) (+.f64 (/.f64 1 (pow.f64 N 3)) (fma.f64 2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N) (fma.f64 -1/2 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (pow.f64 N 4)) (fma.f64 2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (*.f64 N N)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 N)) (/.f64 (pow.f64 N 4) (+.f64 11/12 (*.f64 (neg.f64 (log.f64 N)) 1/2)))) (fma.f64 -1/4 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (pow.f64 N 4)) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (/.f64 (*.f64 N N) (neg.f64 (log.f64 N)))) (fma.f64 -4/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 1/3 (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) N))))))))))))) (/.f64 1 (pow.f64 N 4)))
(+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (log.f64 N) 1) (+.f64 -1 (*.f64 (log.f64 N) 2/3))) (pow.f64 N 3)) (/.f64 1 (pow.f64 N 3))) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (log.f64 N) 2) N) (fma.f64 -1/2 (/.f64 (-.f64 1 (log.f64 N)) (pow.f64 N 4)) (+.f64 (/.f64 (*.f64 -2 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 (log.f64 N) 2) N) N) (+.f64 (/.f64 (*.f64 (log.f64 N) 1) (/.f64 (pow.f64 N 4) (+.f64 11/12 (*.f64 (log.f64 N) -1/2)))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 4)) (+.f64 (/.f64 (*.f64 (*.f64 (log.f64 N) 1) (-.f64 1 (log.f64 N))) (*.f64 N N)) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)) (/.f64 (pow.f64 (log.f64 N) 2) N)) (+.f64 (/.f64 (*.f64 2 (log.f64 N)) (*.f64 N N)) (/.f64 (*.f64 4/3 (log.f64 N)) (pow.f64 N 4))))))))))) (/.f64 1 (pow.f64 N 4))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N))
(neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)) -3) N)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2) (pow.f64 N 2))) (+.f64 (/.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)) (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) -3) N) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (*.f64 N N)) (+.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 (*.f64 N N) (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))) (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N))))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (/.f64 N -3)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) (*.f64 N N)) (+.f64 (/.f64 (+.f64 1 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (/.f64 (*.f64 N N) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N))))))
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(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (log.f64 N)) (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (*.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N)))))
(/.f64 (/.f64 (log.f64 N) (/.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (log.f64 N)) 1) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (log.f64 N))
(*.f64 (log.f64 N) (/.f64 (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.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) 3) (pow.f64 (log.f64 N) 3)) (log.f64 N)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (*.f64 (log.f64 N) (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))))
(/.f64 (log.f64 N) (/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (log.f64 N)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (*.f64 (log.f64 N) (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 N) 4) (*.f64 (log.f64 N) (pow.f64 (log1p.f64 N) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (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 (log.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (*.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (sqrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 4) (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 4) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log1p.f64 N) 2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (*.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (cbrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (cbrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) (cbrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 4) (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (*.f64 (cbrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (cbrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (cbrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 N) 4) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log1p.f64 N) 2))) (cbrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (cbrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (cbrt.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 3)
(*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 1)
(*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 2))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) 2))
(log.f64 (pow.f64 N (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 N (+.f64 (log1p.f64 N) (log.f64 N))) 1)))
(log1p.f64 (+.f64 (pow.f64 N (+.f64 (log.f64 N) (log1p.f64 N))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 N (+.f64 (log.f64 N) (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) 3))
(*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3)))
(*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (log.f64 N) 3)))
(*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(exp.f64 (log.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 1))
(*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(log1p.f64 (-.f64 (pow.f64 N (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (+.f64 (pow.f64 N (+.f64 (log.f64 N) (log1p.f64 N))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 N (+.f64 (log.f64 N) (log1p.f64 N)))))
(fma.f64 (log1p.f64 N) (log.f64 N) (pow.f64 (log.f64 N) 2))
(*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(fma.f64 (log.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) 2))
(*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3))) 1)
(pow.f64 (log1p.f64 N) 3)
(*.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2))
(pow.f64 (log1p.f64 N) 3)
(*.f64 (pow.f64 (log1p.f64 N) 3) 1)
(pow.f64 (log1p.f64 N) 3)
(*.f64 1 (pow.f64 (log1p.f64 N) 3))
(pow.f64 (log1p.f64 N) 3)
(*.f64 (sqrt.f64 (log1p.f64 N)) (*.f64 (sqrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(*.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2))
(pow.f64 (log1p.f64 N) 3)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (pow.f64 (log1p.f64 N) 2) (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(*.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N))
(pow.f64 (log1p.f64 N) 3)
(*.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) 1) (log1p.f64 N))
(pow.f64 (log1p.f64 N) 3)
(*.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (pow.f64 (log1p.f64 N) 2) (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 3))
(pow.f64 (sqrt.f64 (log1p.f64 N)) 6)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 3) (log1p.f64 N))
(*.f64 (log1p.f64 N) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 3))
(sqrt.f64 (pow.f64 (log1p.f64 N) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))
(pow.f64 (log1p.f64 N) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3))))
(pow.f64 (log1p.f64 N) 3)
(cbrt.f64 (pow.f64 (log1p.f64 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3)))
(pow.f64 (log1p.f64 N) 3)
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 3) (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1))
(pow.f64 (exp.f64 3) (log.f64 (log1p.f64 N)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 3)))
(pow.f64 (log1p.f64 N) 3)

eval872.0ms (9.5%)

Compiler

Compiled 49036 to 30999 computations (36.8% saved)

prune420.0ms (4.6%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New137381381
Fresh033
Picked011
Done235
Total1375151390
Error
0.1b
Counts
1390 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
31.0b
(/.f64 (/.f64 1 (/.f64 1 (-.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)))))
✓30.9b
(/.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)))))
▶52.8b
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2))))
46.6b
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
61.4b
(/.f64 (+.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (log.f64 N) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3/2)) (pow.f64 (log.f64 N) 3/2) (pow.f64 (log.f64 N) 3)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
▶30.5b
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓29.3b
(/.f64 1 N)
54.2b
(-.f64 (/.f64 N (/.f64 (pow.f64 N 4) (+.f64 1/3 (*.f64 N N)))) (/.f64 1/2 (*.f64 N N)))
▶29.9b
(-.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N)))) (/.f64 1/2 (*.f64 N N)))
✓30.8b
(-.f64 (log1p.f64 N) (log.f64 N))
✓33.1b
(-.f64 N (log.f64 N))
▶30.3b
(+.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)))))
33.7b
(neg.f64 (log.f64 N))
▶30.7b
(log.f64 (/.f64 (+.f64 N 1) N))
61.0b
N
Compiler

Compiled 409 to 263 computations (35.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.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))
✓11.0b
(-.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N)))) (/.f64 1/2 (*.f64 N N)))
Compiler

Compiled 62 to 35 computations (43.5% 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 (/.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 (/.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 (/.f64 1 N) (/.f64 1/3 (*.f64 N N)))) (/.f64 1/2 (*.f64 N N)))

rewrite145.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1304×associate-/l*
906×associate-/r/
800×associate-/l/
452×associate-+l+
310×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01381
130563
2458863
Stop Event
1×node limit
Counts
3 → 237
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 1 N) (*.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) -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))))))))

simplify129.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
878×associate-/r*
852×associate-*r*
676×associate-/l*
642×*-commutative
602×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063616641
1191316007
Stop Event
1×node limit
Counts
273 → 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 (*.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 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 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (*.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 (/.f64 1 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 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (*.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 (/.f64 1 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 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (*.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 (/.f64 1 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 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (*.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)) (+.f64 (-.f64 (/.f64 1 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 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (+.f64 (/.f64 1 N) (*.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 (/.f64 1 N) (*.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 (/.f64 1 N) (*.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 (/.f64 1 N) (*.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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) (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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N 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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) (+.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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) (+.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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) (+.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 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) (+.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)))))
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(/.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 N (/.f64 1 N)))
(/.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 (neg.f64 (*.f64 N (/.f64 N 1/3)))))
(/.f64 -1/3 (*.f64 N (*.f64 N (neg.f64 N))))
(/.f64 -1/3 (*.f64 (neg.f64 N) (*.f64 N N)))
(/.f64 -1/3 (*.f64 (*.f64 N N) (neg.f64 N)))
(/.f64 -1/3 (*.f64 (*.f64 N (neg.f64 N)) 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 (/.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 -1/3) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (*.f64 N (neg.f64 N)))))
(/.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 (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 1/3 (pow.f64 N -2)))) (sqrt.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 (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 1/3 (pow.f64 N -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))))
(/.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 (*.f64 1/3 (pow.f64 N -2))) (neg.f64 N))
(/.f64 (*.f64 -1/3 (/.f64 1 N)) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (/.f64 1/3 N) (sqrt.f64 N)) (*.f64 N (sqrt.f64 N)))
(/.f64 (/.f64 1/3 (*.f64 (pow.f64 (cbrt.f64 N) 2) N)) (*.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 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 (neg.f64 (*.f64 1/3 (pow.f64 N -2))) (neg.f64 N))
(/.f64 (*.f64 -1 (/.f64 1/3 N)) (*.f64 N (neg.f64 N)))
(/.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 (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 (/.f64 1/3 N) -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 N) (/.f64 (+.f64 (/.f64 1/3 N) -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 N) (/.f64 (+.f64 (/.f64 1/3 N) -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 (/.f64 1/3 N) -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 (/.f64 1/3 N) -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 (/.f64 1/3 N) -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 (/.f64 1/3 N) -1/2) (*.f64 N N)))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (*.f64 N N))
(/.f64 (/.f64 1/3 N) N)
(/.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 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)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2)))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (*.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) (+.f64 (/.f64 1 N) (fma.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) (+.f64 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (-.f64 (/.f64 1 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)))))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (fma.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) (+.f64 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (*.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) (+.f64 (/.f64 1 N) (fma.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) (+.f64 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (-.f64 (/.f64 1 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)))))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (fma.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) (+.f64 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (*.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) (+.f64 (/.f64 1 N) (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))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (-.f64 (/.f64 1 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)))))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (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))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (+.f64 (/.f64 1 N) (*.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 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (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))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (-.f64 (/.f64 1 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)))))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (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))))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (+.f64 (/.f64 1 N) (*.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) (+.f64 (/.f64 1 N) (fma.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) (+.f64 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (+.f64 (/.f64 1 N) (*.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) (+.f64 (/.f64 1 N) (fma.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) (+.f64 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))))
(+.f64 (+.f64 (/.f64 1 N) (*.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) (+.f64 (/.f64 1 N) (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))))))
(+.f64 (+.f64 (/.f64 1 N) (*.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)))))
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (/.f64 1 N) (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))))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N))) (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
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(/.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 N (/.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 N 1/3))))
(/.f64 1 (*.f64 (*.f64 N (*.f64 (sqrt.f64 N) (/.f64 N 1/3))) (sqrt.f64 N)))
(/.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 (cbrt.f64 N) (*.f64 N (/.f64 N 1/3))) (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)
(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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite62.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1844×add-sqr-sqrt
1816×*-un-lft-identity
1710×add-cube-cbrt
1694×add-cbrt-cube
164×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
117432
2226532
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(+.f64 1 (/.f64 -1/2 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 -1/2 N))) (/.f64 (/.f64 1/4 (*.f64 N N)) (-.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1/2 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (/.f64 1 (-.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 -1/2 N)) (-.f64 1 (/.f64 1/4 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 -1/2 N))) (+.f64 1 (/.f64 -1/8 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (-.f64 1 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (+.f64 (/.f64 1/4 (*.f64 N N)) (-.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N)))) (neg.f64 (-.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3)))) (neg.f64 (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/4 (*.f64 N N)) 1) (-.f64 (/.f64 -1/2 N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 -1/2 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 -1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 -1/2 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/2 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 N)) (sqrt.f64 (/.f64 -1/2 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (cbrt.f64 (/.f64 -1/2 N)) 1)))))

simplify55.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1394×associate-/l*
1318×associate-*r/
1108×times-frac
888×unswap-sqr
762×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01632119
13871847
217741847
Stop Event
1×node limit
Counts
89 → 90
Calls
Call 1
Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 N)
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 1)
(*.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(*.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N)))
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
(*.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 -1/2 N))) (/.f64 (/.f64 1/4 (*.f64 N N)) (-.f64 1 (/.f64 -1/2 N))))
(*.f64 1 (+.f64 1 (/.f64 -1/2 N)))
(*.f64 (+.f64 1 (/.f64 -1/2 N)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))))
(*.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (/.f64 1 (-.f64 1 (/.f64 -1/2 N))))
(*.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 -1/2 N)))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 -1/2 N)) (-.f64 1 (/.f64 1/4 (*.f64 N N)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 -1/2 N))) (+.f64 1 (/.f64 -1/8 (pow.f64 N 3)))))
(/.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (-.f64 1 (/.f64 -1/2 N)))
(/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 -1/2 N))))
(/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (+.f64 (/.f64 1/4 (*.f64 N N)) (-.f64 1 (/.f64 -1/2 N))))
(/.f64 (neg.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N)))) (neg.f64 (-.f64 1 (/.f64 -1/2 N))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3)))) (neg.f64 (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 -1/2 N)))))
(/.f64 (-.f64 (/.f64 1/4 (*.f64 N N)) 1) (-.f64 (/.f64 -1/2 N) 1))
(pow.f64 (+.f64 1 (/.f64 -1/2 N)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 -1/2 N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 -1/2 N)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N))))
(exp.f64 (log1p.f64 (/.f64 -1/2 N)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 -1/2 N)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1/2 N))))
(fma.f64 1 (/.f64 -1/2 N) 1)
(fma.f64 -1/2 (/.f64 1 N) 1)
(fma.f64 (sqrt.f64 (/.f64 -1/2 N)) (sqrt.f64 (/.f64 -1/2 N)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (cbrt.f64 (/.f64 -1/2 N)) 1)
Outputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 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 (+.f64 1 (/.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 (+.f64 1 (/.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 (+.f64 1 (/.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 (/.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 (+.f64 1 (/.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 (+.f64 1 (/.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 (/.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 (+.f64 1 (/.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 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 -1/2 N)
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (/.f64 1 (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2)))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))
(fabs.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)))
(/.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 N))) N)
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)) 1))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)))
(/.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 N))) N)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N)))) 1)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(-.f64 (/.f64 1 (-.f64 1 (/.f64 -1/2 N))) (/.f64 (/.f64 1/4 (*.f64 N N)) (-.f64 1 (/.f64 -1/2 N))))
(/.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (+.f64 1 (/.f64 1/2 N)))
(/.f64 (+.f64 1 (/.f64 -1/4 (*.f64 N N))) (+.f64 1 (/.f64 1/2 N)))
(*.f64 1 (+.f64 1 (/.f64 -1/2 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (+.f64 1 (/.f64 -1/2 N)) 1)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (/.f64 1 (-.f64 1 (/.f64 -1/2 N))))
(/.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (+.f64 1 (/.f64 1/2 N)))
(/.f64 (+.f64 1 (/.f64 -1/4 (*.f64 N N))) (+.f64 1 (/.f64 1/2 N)))
(*.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 -1/2 N)))))
(*.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 1/2 N)))))
(/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (+.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 1/4 (*.f64 N N)))))
(/.f64 (+.f64 -1 (/.f64 1/8 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 N) (-.f64 -1 (/.f64 1/4 (*.f64 N N)))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 -1/2 N)) (-.f64 1 (/.f64 1/4 (*.f64 N N)))))
(/.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (+.f64 1 (/.f64 1/2 N)))
(/.f64 (+.f64 1 (/.f64 -1/4 (*.f64 N N))) (+.f64 1 (/.f64 1/2 N)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 -1/2 N))) (+.f64 1 (/.f64 -1/8 (pow.f64 N 3)))))
(*.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 1/2 N)))))
(/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (+.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 1/4 (*.f64 N N)))))
(/.f64 (+.f64 -1 (/.f64 1/8 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 N) (-.f64 -1 (/.f64 1/4 (*.f64 N N)))))
(/.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (-.f64 1 (/.f64 -1/2 N)))
(/.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (+.f64 1 (/.f64 1/2 N)))
(/.f64 (+.f64 1 (/.f64 -1/4 (*.f64 N N))) (+.f64 1 (/.f64 1/2 N)))
(/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 -1/2 N))))
(*.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 1/2 N)))))
(/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (+.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 1/4 (*.f64 N N)))))
(/.f64 (+.f64 -1 (/.f64 1/8 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 N) (-.f64 -1 (/.f64 1/4 (*.f64 N N)))))
(/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (+.f64 (/.f64 1/4 (*.f64 N N)) (-.f64 1 (/.f64 -1/2 N))))
(*.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 1/2 N)))))
(/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (+.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 1/4 (*.f64 N N)))))
(/.f64 (+.f64 -1 (/.f64 1/8 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 N) (-.f64 -1 (/.f64 1/4 (*.f64 N N)))))
(/.f64 (neg.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N)))) (neg.f64 (-.f64 1 (/.f64 -1/2 N))))
(/.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (+.f64 1 (/.f64 1/2 N)))
(/.f64 (+.f64 1 (/.f64 -1/4 (*.f64 N N))) (+.f64 1 (/.f64 1/2 N)))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3)))) (neg.f64 (+.f64 1 (-.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 -1/2 N)))))
(*.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 N N)) (/.f64 1/2 N)))))
(/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (+.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 1/4 (*.f64 N N)))))
(/.f64 (+.f64 -1 (/.f64 1/8 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 N) (-.f64 -1 (/.f64 1/4 (*.f64 N N)))))
(/.f64 (-.f64 (/.f64 1/4 (*.f64 N N)) 1) (-.f64 (/.f64 -1/2 N) 1))
(/.f64 (-.f64 1 (/.f64 1/4 (*.f64 N N))) (+.f64 1 (/.f64 1/2 N)))
(/.f64 (+.f64 1 (/.f64 -1/4 (*.f64 N N))) (+.f64 1 (/.f64 1/2 N)))
(pow.f64 (+.f64 1 (/.f64 -1/2 N)) 1)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 3)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3) 1/3)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 2))
(fabs.f64 (+.f64 1 (/.f64 -1/2 N)))
(log.f64 (exp.f64 (+.f64 1 (/.f64 -1/2 N))))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 -1/2 N)))))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N))))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(exp.f64 (log1p.f64 (/.f64 -1/2 N)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 -1/2 N)) 1))
(exp.f64 (log1p.f64 (/.f64 -1/2 N)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1/2 N))))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(fma.f64 1 (/.f64 -1/2 N) 1)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(fma.f64 -1/2 (/.f64 1 N) 1)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(fma.f64 (sqrt.f64 (/.f64 -1/2 N)) (sqrt.f64 (/.f64 -1/2 N)) 1)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (cbrt.f64 (/.f64 -1/2 N)) 1)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 N (*.f64 N 2)) N)
✓0.1b
(*.f64 N (*.f64 N (*.f64 N 2)))
✓25.7b
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2))))
Compiler

Compiled 40 to 24 computations (40% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite101.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1036×unswap-sqr
918×swap-sqr
638×associate-/l/
596×distribute-rgt-in
566×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0981
120669
2314769
Stop Event
1×node limit
Counts
3 → 215
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2))))
(*.f64 N (*.f64 N (*.f64 N 2)))
(-.f64 (*.f64 N (*.f64 N 2)) N)
Outputs
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fma.f64 (*.f64 N 2) N (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 N (*.f64 N 2)) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 N (sqrt.f64 2)) (*.f64 N (sqrt.f64 2)) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 N (*.f64 N 2))) 2) (cbrt.f64 (*.f64 N (*.f64 N 2))) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 N N) 2 (neg.f64 N))))))

simplify94.0ms (1%)

Algorithm
1×egg-herbie
Rules
1846×times-frac
1066×associate-*r*
938×associate-*l*
906×associate-/l*
728×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052910477
115528917
Stop Event
1×node limit
Counts
251 → 316
Calls
Call 1
Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 -1 N)
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(*.f64 2 (pow.f64 N 2))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(*.f64 2 (pow.f64 N 2))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(+.f64 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)) (*.f64 (/.f64 1 (*.f64 (pow.f64 N 3) 2)) (fma.f64 (neg.f64 N) 1 N)))
(+.f64 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)) (*.f64 (/.f64 1 (*.f64 (pow.f64 N 3) 2)) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)) (*.f64 (/.f64 1 (*.f64 (pow.f64 N 3) 2)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)) (*.f64 (fma.f64 (neg.f64 N) 1 N) (/.f64 1 (*.f64 (pow.f64 N 3) 2))))
(+.f64 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (/.f64 1 (*.f64 (pow.f64 N 3) 2))))
(+.f64 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (/.f64 1 (*.f64 (pow.f64 N 3) 2))))
(+.f64 (*.f64 (/.f64 (*.f64 N 2) (*.f64 (pow.f64 N 3) 2)) N) (/.f64 N (*.f64 (pow.f64 N 3) -2)))
(+.f64 (*.f64 (/.f64 (*.f64 N 2) (*.f64 (pow.f64 N 3) 2)) N) (*.f64 (/.f64 1 (*.f64 (pow.f64 N 3) 2)) (neg.f64 N)))
(+.f64 (/.f64 N (*.f64 (pow.f64 N 3) -2)) (*.f64 (/.f64 (*.f64 N 2) (*.f64 (pow.f64 N 3) 2)) N))
(+.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 N 3) 2)) (neg.f64 N)) (*.f64 (/.f64 (*.f64 N 2) (*.f64 (pow.f64 N 3) 2)) N))
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 N 2) (*.f64 (pow.f64 N 3) 2)) N) 1) (*.f64 (/.f64 N (*.f64 (pow.f64 N 3) -2)) 1))
(-.f64 (*.f64 (/.f64 (*.f64 N 2) (*.f64 (pow.f64 N 3) 2)) N) (/.f64 N (*.f64 (pow.f64 N 3) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)))) 1)
(*.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (/.f64 1 (*.f64 (pow.f64 N 3) 2)))
(*.f64 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)) 1)
(*.f64 1 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)))
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(+.f64 (fma.f64 (neg.f64 N) 1 N) (-.f64 (*.f64 N (*.f64 N 2)) N))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (-.f64 (*.f64 N (*.f64 N 2)) N))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (-.f64 (*.f64 N (*.f64 N 2)) N))
(+.f64 (-.f64 (*.f64 N (*.f64 N 2)) (exp.f64 (log1p.f64 N))) 1)
(+.f64 (neg.f64 (*.f64 N (*.f64 N -2))) (neg.f64 N))
(*.f64 N (-.f64 (*.f64 N 2) 1))
(*.f64 N (+.f64 (*.f64 N 2) -1))
(*.f64 N (+.f64 -1 (*.f64 N 2)))
(*.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) 1)
(*.f64 1 (-.f64 (*.f64 N (*.f64 N 2)) N))
(*.f64 (sqrt.f64 N) (+.f64 (*.f64 (sqrt.f64 N) (*.f64 N 2)) (neg.f64 (sqrt.f64 N))))
(*.f64 (sqrt.f64 N) (+.f64 (neg.f64 (sqrt.f64 N)) (*.f64 (sqrt.f64 N) (*.f64 N 2))))
(*.f64 (sqrt.f64 N) (-.f64 (*.f64 (sqrt.f64 N) (*.f64 N 2)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 N) (+.f64 (*.f64 (*.f64 N 2) (sqrt.f64 N)) (neg.f64 (sqrt.f64 N))))
(*.f64 (sqrt.f64 N) (+.f64 (neg.f64 (sqrt.f64 N)) (*.f64 (*.f64 N 2) (sqrt.f64 N))))
(*.f64 (sqrt.f64 N) (-.f64 (*.f64 (*.f64 N 2) (sqrt.f64 N)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))))
(*.f64 (cbrt.f64 N) (+.f64 (*.f64 (*.f64 N 2) (pow.f64 (cbrt.f64 N) 2)) (neg.f64 (pow.f64 (cbrt.f64 N) 2))))
(*.f64 (cbrt.f64 N) (+.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N 2) (pow.f64 (cbrt.f64 N) 2))))
(*.f64 (cbrt.f64 N) (-.f64 (*.f64 (*.f64 N 2) (pow.f64 (cbrt.f64 N) 2)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (*.f64 (cbrt.f64 N) (*.f64 N 2)) (neg.f64 (cbrt.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (+.f64 (neg.f64 (cbrt.f64 N)) (*.f64 (cbrt.f64 N) (*.f64 N 2))))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (-.f64 (*.f64 (cbrt.f64 N) (*.f64 N 2)) (cbrt.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 2) (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 2) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))))
(*.f64 (-.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (*.f64 N N)) (/.f64 1 (fma.f64 N (*.f64 N 2) N)))
(*.f64 (-.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) (pow.f64 N 3)) (/.f64 1 (+.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (fma.f64 N N (*.f64 (pow.f64 N 3) 2)))))
(*.f64 (sqrt.f64 (+.f64 N (*.f64 N (*.f64 N -2)))) (neg.f64 (sqrt.f64 (+.f64 N (*.f64 N (*.f64 N -2))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 N (*.f64 N (*.f64 N -2)))) (cbrt.f64 (+.f64 N (*.f64 N (*.f64 N -2))))) (neg.f64 (cbrt.f64 (+.f64 N (*.f64 N (*.f64 N -2))))))
(*.f64 -1 (+.f64 N (*.f64 N (*.f64 N -2))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 2)) (neg.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))))
(*.f64 (+.f64 (*.f64 N (sqrt.f64 2)) (sqrt.f64 N)) (-.f64 (*.f64 N (sqrt.f64 2)) (sqrt.f64 N)))
(*.f64 (/.f64 1 (fma.f64 N (*.f64 N 2) N)) (-.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (*.f64 N N)))
(*.f64 (/.f64 1 (+.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (fma.f64 N N (*.f64 (pow.f64 N 3) 2)))) (-.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) (pow.f64 N 3)))
(*.f64 (/.f64 (-.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (*.f64 N N)) (-.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (*.f64 N N))) (-.f64 (*.f64 N (*.f64 N 2)) N))
(*.f64 (/.f64 (-.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (*.f64 N N)) (+.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) (pow.f64 N 3))) (+.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (-.f64 (*.f64 N N) (*.f64 (pow.f64 N 3) 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) (pow.f64 N 3)) (-.f64 (*.f64 (*.f64 N (*.f64 N 2)) (pow.f64 (*.f64 N (*.f64 N 2)) 3)) (*.f64 (fma.f64 N N (*.f64 (pow.f64 N 3) 2)) (fma.f64 N N (*.f64 (pow.f64 N 3) 2))))) (-.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (fma.f64 N N (*.f64 (pow.f64 N 3) 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) 3) (pow.f64 (fma.f64 N N (*.f64 (pow.f64 N 3) 2)) 3))) (+.f64 (*.f64 (*.f64 N (*.f64 N 2)) (pow.f64 (*.f64 N (*.f64 N 2)) 3)) (*.f64 (fma.f64 N N (*.f64 (pow.f64 N 3) 2)) (-.f64 (fma.f64 N N (*.f64 (pow.f64 N 3) 2)) (*.f64 4 (*.f64 N (pow.f64 N 3)))))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 N (*.f64 N (*.f64 N -2))))) (sqrt.f64 (+.f64 N (*.f64 N (*.f64 N -2)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 N (*.f64 N (*.f64 N -2)))) (cbrt.f64 (+.f64 N (*.f64 N (*.f64 N -2)))))) (cbrt.f64 (+.f64 N (*.f64 N (*.f64 N -2)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))) (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 2))) (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))) (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))) (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))) (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))) (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 2))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))) (*.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))))
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) 1)
(/.f64 1 (/.f64 1 (-.f64 (*.f64 N (*.f64 N 2)) N)))
(/.f64 1 (/.f64 (fma.f64 N (*.f64 N 2) N) (-.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (*.f64 N N))))
(/.f64 1 (/.f64 (+.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (fma.f64 N N (*.f64 (pow.f64 N 3) 2))) (-.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (*.f64 N N)) (fma.f64 N (*.f64 N 2) N))
(/.f64 (-.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) (pow.f64 N 3)) (+.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (fma.f64 N N (*.f64 (pow.f64 N 3) 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (*.f64 N N))) (neg.f64 (fma.f64 N (*.f64 N 2) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) (pow.f64 N 3))) (neg.f64 (+.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (fma.f64 N N (*.f64 (pow.f64 N 3) 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 N (*.f64 N 2)) (pow.f64 (*.f64 N (*.f64 N 2)) 3)) (*.f64 N (pow.f64 N 3))) (*.f64 (fma.f64 N (*.f64 N 2) N) (+.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (*.f64 N N))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (*.f64 N N) 3)) 64) (*.f64 (pow.f64 N 3) (pow.f64 N 3))) (*.f64 (+.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (fma.f64 N N (*.f64 (pow.f64 N 3) 2))) (+.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) (pow.f64 (neg.f64 N) 3)) (+.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (fma.f64 N N (*.f64 (pow.f64 N 3) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) 3) (pow.f64 (*.f64 N N) 3)) (*.f64 (fma.f64 N (*.f64 N 2) N) (+.f64 (*.f64 (*.f64 N (*.f64 N 2)) (pow.f64 (*.f64 N (*.f64 N 2)) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 N 3) 2) 2) (*.f64 N (pow.f64 N 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) 3) (pow.f64 (pow.f64 N 3) 3)) (*.f64 (+.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (fma.f64 N N (*.f64 (pow.f64 N 3) 2))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (*.f64 N N) 3)) 64) (*.f64 (pow.f64 N 3) (+.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) (pow.f64 N 3))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (*.f64 N N)))) (fma.f64 N (*.f64 N 2) N))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) (pow.f64 N 3)))) (+.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (fma.f64 N N (*.f64 (pow.f64 N 3) 2))))
(pow.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) 3) 1/3)
(neg.f64 (+.f64 N (*.f64 N (*.f64 N -2))))
(neg.f64 (/.f64 (-.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (*.f64 N N)) (neg.f64 (fma.f64 N (*.f64 N 2) N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 N (*.f64 N 2)) 3) (pow.f64 N 3)) (neg.f64 (+.f64 (*.f64 4 (*.f64 N (pow.f64 N 3))) (fma.f64 N N (*.f64 (pow.f64 N 3) 2))))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 N (*.f64 N 2)) N))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))
(exp.f64 (log.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 N (*.f64 N 2)) N)))
(fma.f64 N (*.f64 N 2) (neg.f64 N))
(fma.f64 (*.f64 N 2) N (neg.f64 N))
(fma.f64 1 (*.f64 N (*.f64 N 2)) (neg.f64 N))
(fma.f64 (*.f64 N (sqrt.f64 2)) (*.f64 N (sqrt.f64 2)) (neg.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 N (*.f64 N 2))) 2) (cbrt.f64 (*.f64 N (*.f64 N 2))) (neg.f64 N))
(fma.f64 (*.f64 N N) 2 (neg.f64 N))
Outputs
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 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 (-.f64 1 (/.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 (-.f64 1 (/.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 (-.f64 1 (/.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 (/.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 (-.f64 1 (/.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 (-.f64 1 (/.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 (/.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 (-.f64 1 (/.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 (-.f64 1 (/.f64 1/2 N)) N)
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 2 (pow.f64 N 3))
(*.f64 -1 N)
(neg.f64 N)
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(*.f64 N (fma.f64 N 2 -1))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(*.f64 N (fma.f64 N 2 -1))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(*.f64 N (fma.f64 N 2 -1))
(*.f64 2 (pow.f64 N 2))
(*.f64 N (*.f64 N 2))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(*.f64 N (fma.f64 N 2 -1))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(*.f64 N (fma.f64 N 2 -1))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(*.f64 N (fma.f64 N 2 -1))
(*.f64 2 (pow.f64 N 2))
(*.f64 N (*.f64 N 2))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(*.f64 N (fma.f64 N 2 -1))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(*.f64 N (fma.f64 N 2 -1))
(+.f64 (*.f64 2 (pow.f64 N 2)) (*.f64 -1 N))
(*.f64 N (fma.f64 N 2 -1))
(+.f64 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)) (*.f64 (/.f64 1 (*.f64 (pow.f64 N 3) 2)) (fma.f64 (neg.f64 N) 1 N)))
(+.f64 (*.f64 (/.f64 N (*.f64 2 (pow.f64 N 3))) (fma.f64 N 2 -1)) (/.f64 (fma.f64 (neg.f64 N) 1 N) (*.f64 2 (pow.f64 N 3))))
(*.f64 (/.f64 1/2 (pow.f64 N 3)) (-.f64 (+.f64 (*.f64 N (fma.f64 N 2 -1)) N) N))
(+.f64 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)) (*.f64 (/.f64 1 (*.f64 (pow.f64 N 3) 2)) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 (*.f64 (/.f64 N (*.f64 2 (pow.f64 N 3))) (fma.f64 N 2 -1)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N) (*.f64 2 (pow.f64 N 3))))
(*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (*.f64 N (fma.f64 N 2 -1)) (fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) N)))
(+.f64 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)) (*.f64 (/.f64 1 (*.f64 (pow.f64 N 3) 2)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 (*.f64 (/.f64 N (*.f64 2 (pow.f64 N 3))) (fma.f64 N 2 -1)) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N) (*.f64 2 (pow.f64 N 3))))
(*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (*.f64 N (fma.f64 N 2 -1)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N)))
(+.f64 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)) (*.f64 (fma.f64 (neg.f64 N) 1 N) (/.f64 1 (*.f64 (pow.f64 N 3) 2))))
(+.f64 (*.f64 (/.f64 N (*.f64 2 (pow.f64 N 3))) (fma.f64 N 2 -1)) (/.f64 (fma.f64 (neg.f64 N) 1 N) (*.f64 2 (pow.f64 N 3))))
(*.f64 (/.f64 1/2 (pow.f64 N 3)) (-.f64 (+.f64 (*.f64 N (fma.f64 N 2 -1)) N) N))
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(*.f64 N (fma.f64 N 2 -1))
(fma.f64 (*.f64 N (sqrt.f64 2)) (*.f64 N (sqrt.f64 2)) (neg.f64 N))
(-.f64 (*.f64 (*.f64 N N) (*.f64 (sqrt.f64 2) (sqrt.f64 2))) N)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 N (*.f64 N 2))) 2) (cbrt.f64 (*.f64 N (*.f64 N 2))) (neg.f64 N))
(-.f64 (*.f64 (cbrt.f64 (*.f64 N (*.f64 N 2))) (pow.f64 (cbrt.f64 (*.f64 N (*.f64 N 2))) 2)) N)
(fma.f64 (*.f64 N N) 2 (neg.f64 N))
(*.f64 N (fma.f64 N 2 -1))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 N 1) N)
✓2.9b
(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
(log.f64 (/.f64 (+.f64 N 1) N))
0.0ms
N
@-inf
(/.f64 (+.f64 N 1) N)
0.0ms
N
@0
(log.f64 (/.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))

rewrite63.0ms (0.7%)

Algorithm
1×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
1×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)))))))

simplify88.0ms (1%)

Algorithm
1×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
1×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))

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1/4 (pow.f64 N 4))
0.3b
(/.f64 1/2 (*.f64 N N))
0.3b
(/.f64 1/3 (pow.f64 N 3))
✓18.0b
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
Compiler

Compiled 84 to 58 computations (31% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
N
@0
(/.f64 1/4 (pow.f64 N 4))
0.0ms
N
@0
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
0.0ms
N
@inf
(/.f64 1/4 (pow.f64 N 4))
0.0ms
N
@inf
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
0.0ms
N
@-inf
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))

rewrite116.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
922×associate-/l*
834×associate-/r/
476×associate-+l+
370×add-sqr-sqrt
356×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01662
138458
2541658
Stop Event
1×node limit
Counts
2 → 212
Calls
Call 1
Inputs
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(/.f64 1/4 (pow.f64 N 4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 N -2) (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 N -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 N -2) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (pow.f64 N -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/4 (pow.f64 N -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -2) (/.f64 1/4 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 8))) (/.f64 1/4 (cbrt.f64 (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (pow.f64 N 4))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) N) (/.f64 1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 N N)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) 1) (*.f64 1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 N (neg.f64 N))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 N 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))))))

simplify151.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1262×fma-def
824×associate-*r*
718×+-commutative
648×associate-*l*
618×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058619380
1187317848
Stop Event
1×node limit
Counts
224 → 351
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.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 1/3 (/.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 -1/2 (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 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (*.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 -1/2 (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 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (*.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 1/3 (pow.f64 N -3)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1) (fma.f64 (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (neg.f64 (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1 (*.f64 1/2 (pow.f64 N -2))) (neg.f64 (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (neg.f64 (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (neg.f64 (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (*.f64 -1/4 (pow.f64 N -4))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (*.f64 -1/4 (pow.f64 N -4))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 (neg.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 -1/2 (pow.f64 N -2)) (*.f64 (neg.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 -1 (*.f64 1/2 (pow.f64 N -2))) (*.f64 (neg.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 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (*.f64 (neg.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 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (*.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1 (*.f64 1/2 (pow.f64 N -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 -1 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (*.f64 1/4 (pow.f64 N -4))))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
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(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2)) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2))) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))) (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) (sqrt.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2))) (cbrt.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2)))) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))) (cbrt.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3)))) (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) (cbrt.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3)))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2))) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2)))) (/.f64 1/16 (pow.f64 N 8))) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2))) 3) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2))) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2)))) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (*.f64 1/3 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))) (*.f64 (pow.f64 N 3) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (pow.f64 N 3) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (*.f64 1/3 (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))) (*.f64 (pow.f64 N 3) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3))))) (*.f64 (pow.f64 N 3) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 (-.f64 (*.f64 1/3 (pow.f64 N 6)) (*.f64 (pow.f64 N 3) (fma.f64 1/2 (pow.f64 N 4) (*.f64 N (*.f64 N 1/4))))) (*.f64 (pow.f64 N 8) N))
(/.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4))) (*.f64 (*.f64 3 (pow.f64 N 3)) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (*.f64 3 (pow.f64 N 3)) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))))
(/.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (-.f64 (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/8 (pow.f64 N 6))) (*.f64 (*.f64 3 (pow.f64 N 3)) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))))) (*.f64 (*.f64 3 (pow.f64 N 3)) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 (-.f64 (pow.f64 N 6) (*.f64 (*.f64 3 (pow.f64 N 3)) (fma.f64 1/2 (pow.f64 N 4) (*.f64 N (*.f64 N 1/4))))) (*.f64 (*.f64 3 (pow.f64 N 3)) (pow.f64 N 6)))
(/.f64 (-.f64 (*.f64 -1/3 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))) (*.f64 (neg.f64 (pow.f64 N 3)) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (*.f64 -1/3 (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3))))) (*.f64 (neg.f64 (pow.f64 N 3)) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 (-.f64 (*.f64 -1/3 (pow.f64 N 6)) (*.f64 (neg.f64 (pow.f64 N 3)) (fma.f64 1/2 (pow.f64 N 4) (*.f64 N (*.f64 N 1/4))))) (*.f64 (neg.f64 (pow.f64 N 3)) (pow.f64 N 6)))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2))) (neg.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(fma.f64 1/3 (pow.f64 N -3) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 6))) (/.f64 (cbrt.f64 1/3) N) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1/2 (*.f64 (pow.f64 N -2) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/4 (*.f64 (pow.f64 N -2) (pow.f64 N -2)))
(*.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (pow.f64 N -4) 1/4)
(*.f64 (pow.f64 N -2) (/.f64 1/4 (*.f64 N N)))
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 8))) (/.f64 1/4 (cbrt.f64 (pow.f64 N 4))))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 N 4))) -1/4)
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) N) (/.f64 1/2 N))
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 N N)) 1/2)
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) 1) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 N (neg.f64 N))) -1/2)
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(pow.f64 (*.f64 4 (pow.f64 N 4)) -1)
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))
Outputs
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (*.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4)))
(-.f64 (*.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4)))
(/.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 (/.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4)))
(-.f64 (*.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4)))
(/.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 (/.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4)))
(-.f64 (*.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)))))
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(*.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 N -2))) (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 1/4 (/.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 N -2))) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 N (neg.f64 N))) -1/2)
(*.f64 -1/2 (*.f64 (/.f64 1/2 N) (/.f64 (pow.f64 N -2) (neg.f64 N))))
(/.f64 -1/4 (/.f64 N (/.f64 (pow.f64 N -2) (neg.f64 N))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(*.f64 1/4 (pow.f64 N -4))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(*.f64 1/4 (pow.f64 N -4))
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(*.f64 1/4 (pow.f64 N -4))
(pow.f64 (*.f64 4 (pow.f64 N 4)) -1)
(/.f64 -1/4 (neg.f64 (pow.f64 N 4)))
(/.f64 1/4 (pow.f64 N 4))
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(*.f64 1/4 (pow.f64 N -4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(*.f64 1/4 (pow.f64 N -4))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 1/4 (pow.f64 N -4))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 1/4 (pow.f64 N -4))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))
(*.f64 1/4 (pow.f64 N -4))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 1/4 (pow.f64 N -4))

eval971.0ms (10.6%)

Compiler

Compiled 43010 to 32160 computations (25.2% saved)

prune319.0ms (3.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New136441368
Fresh336
Picked101
Done538
Total1373101383
Error
0.0b
Counts
1383 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶46.6b
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
✓30.5b
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
▶52.4b
(/.f64 (*.f64 N (*.f64 N 2)) (*.f64 N (*.f64 N (*.f64 N 2))))
✓29.3b
(/.f64 1 N)
✓33.1b
(-.f64 N (log.f64 N))
▶29.9b
(+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N))
30.7b
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
▶33.7b
(neg.f64 (log.f64 N))
▶0.0b
(log1p.f64 (+.f64 (/.f64 1 N) 0))
61.0b
N
Compiler

Compiled 135 to 97 computations (28.1% 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))

rewrite83.0ms (0.9%)

Algorithm
1×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
1×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))))))))

simplify63.0ms (0.7%)

Algorithm
1×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
1×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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓16.2b
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
2002×add-sqr-sqrt
1980×*-un-lft-identity
1860×add-cube-cbrt
202×pow1
198×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120419
2312819
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (*.f64 N N)) (neg.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 N) (/.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1/2 N) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 N)) (*.f64 (sqrt.f64 (+.f64 1/2 N)) (/.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/2 N)) N) (/.f64 (sqrt.f64 (+.f64 1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 N)) 2) (*.f64 (cbrt.f64 (+.f64 1/2 N)) (/.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 N) N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 N N)) (+.f64 1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (/.f64 (+.f64 1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/2 N) (/.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 N) 2) 2)) (/.f64 (+.f64 1/2 N) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/2 N)) 1) (/.f64 (sqrt.f64 (+.f64 1/2 N)) (*.f64 N N)))))) (#(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)) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/2 N)) (pow.f64 (pow.f64 (cbrt.f64 N) 2) 2)) (/.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) N) (/.f64 (cbrt.f64 (+.f64 1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 N)) 2) (pow.f64 (pow.f64 (cbrt.f64 N) 2) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 1/2 N)) N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 N N) (+.f64 1/2 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))))))

simplify56.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
970×associate-*r/
682×associate-*l/
600×associate-+l-
598×associate-+r-
492×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0921051
12451021
21021953
35443953
Stop Event
1×node limit
Counts
47 → 58
Calls
Call 1
Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/2 (*.f64 N N)) (neg.f64 (/.f64 1 N)))
(-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)))) 1)
(*.f64 (+.f64 1/2 N) (/.f64 1 (*.f64 N N)))
(*.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 1)
(*.f64 1 (/.f64 (+.f64 1/2 N) (*.f64 N N)))
(*.f64 (sqrt.f64 (+.f64 1/2 N)) (*.f64 (sqrt.f64 (+.f64 1/2 N)) (/.f64 1 (*.f64 N N))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 N)) N) (/.f64 (sqrt.f64 (+.f64 1/2 N)) N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 N)) 2) (*.f64 (cbrt.f64 (+.f64 1/2 N)) (/.f64 1 (*.f64 N N))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))
(*.f64 (/.f64 (+.f64 1/2 N) N) (/.f64 1 N))
(*.f64 (/.f64 1 (*.f64 N N)) (+.f64 1/2 N))
(*.f64 (/.f64 1 N) (/.f64 (+.f64 1/2 N) N))
(*.f64 (+.f64 -1/2 N) (/.f64 1 (*.f64 N N)))
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 N) 2) 2)) (/.f64 (+.f64 1/2 N) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 N)) 1) (/.f64 (sqrt.f64 (+.f64 1/2 N)) (*.f64 N N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 N)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 N)) (*.f64 N N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 N)) (pow.f64 (pow.f64 (cbrt.f64 N) 2) 2)) (/.f64 (sqrt.f64 (+.f64 1/2 N)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 N)) 2) N) (/.f64 (cbrt.f64 (+.f64 1/2 N)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 N)) 2) (pow.f64 (pow.f64 (cbrt.f64 N) 2) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))
(pow.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1/2 N)) N) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 N N) (+.f64 1/2 N)) -1)
(neg.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))
Outputs
(/.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 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(+.f64 (/.f64 1/2 (*.f64 N N)) (neg.f64 (/.f64 1 N)))
(+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 -1 N))
(+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N))
(neg.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N N)))
(/.f64 (neg.f64 (+.f64 -1/2 N)) (*.f64 N N))
(-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N))
(+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 -1 N))
(+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 -1 N))
(neg.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N N)))
(/.f64 (neg.f64 (+.f64 -1/2 N)) (*.f64 N N))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)))) 1)
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (+.f64 1/2 N) (/.f64 1 (*.f64 N N)))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 1)
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 1 (/.f64 (+.f64 1/2 N) (*.f64 N N)))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (sqrt.f64 (+.f64 1/2 N)) (*.f64 (sqrt.f64 (+.f64 1/2 N)) (/.f64 1 (*.f64 N N))))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 N)) N) (/.f64 (sqrt.f64 (+.f64 1/2 N)) N))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 N)) 2) (*.f64 (cbrt.f64 (+.f64 1/2 N)) (/.f64 1 (*.f64 N N))))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) 2))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (/.f64 (+.f64 1/2 N) N) (/.f64 1 N))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (/.f64 1 (*.f64 N N)) (+.f64 1/2 N))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (/.f64 1 N) (/.f64 (+.f64 1/2 N) N))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (+.f64 -1/2 N) (/.f64 1 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 N) 2) 2)) (/.f64 (+.f64 1/2 N) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 N) 2) 2)) (/.f64 (+.f64 N 1/2) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (+.f64 N 1/2) (pow.f64 (cbrt.f64 N) 2)) (pow.f64 (cbrt.f64 N) 4))
(/.f64 (+.f64 N 1/2) (*.f64 (*.f64 N (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (+.f64 N 1/2) (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N (cbrt.f64 N))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 N)) 1) (/.f64 (sqrt.f64 (+.f64 1/2 N)) (*.f64 N N)))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 N)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 N)) (*.f64 N N)))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 N)) (pow.f64 (pow.f64 (cbrt.f64 N) 2) 2)) (/.f64 (sqrt.f64 (+.f64 1/2 N)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 N) 2) 2)) (/.f64 (+.f64 N 1/2) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (+.f64 N 1/2) (pow.f64 (cbrt.f64 N) 2)) (pow.f64 (cbrt.f64 N) 4))
(/.f64 (+.f64 N 1/2) (*.f64 (*.f64 N (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (+.f64 N 1/2) (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N (cbrt.f64 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 N)) 2) N) (/.f64 (cbrt.f64 (+.f64 1/2 N)) N))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 N)) 2) (pow.f64 (pow.f64 (cbrt.f64 N) 2) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1/2) (*.f64 N N))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) (pow.f64 (pow.f64 (cbrt.f64 N) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1/2) (*.f64 N N))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) (pow.f64 (cbrt.f64 N) 4)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1/2) (*.f64 N N))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) (*.f64 N (cbrt.f64 N))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) (/.f64 (*.f64 N (cbrt.f64 N)) (cbrt.f64 (/.f64 (+.f64 N 1/2) (*.f64 N N)))))
(pow.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 1)
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1/2 N)) N) 2)
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) 3)
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 3) 1/3)
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(pow.f64 (/.f64 (*.f64 N N) (+.f64 1/2 N)) -1)
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(neg.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)))
(/.f64 (neg.f64 (+.f64 N 1/2)) (*.f64 N N))
(/.f64 (-.f64 -1/2 N) (*.f64 N N))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 2))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)))))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N)) 3))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))) 1))
(/.f64 (+.f64 N 1/2) (*.f64 N N))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 N) (*.f64 N N))))
(/.f64 (+.f64 N 1/2) (*.f64 N N))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 41 to 26 computations (36.6% saved)

series2.0ms (0%)

Counts
4 → 36
Calls

12 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))

rewrite160.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1828×associate-/l*
972×associate-/r/
870×associate-/l/
724×distribute-lft-in
290×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01282
128378
2417578
Stop Event
1×node limit
Counts
4 → 231
Calls
Call 1
Inputs
(/.f64 1/3 N)
(/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))
(+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N))
(-.f64 (/.f64 1/3 N) 1/2)
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 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1 (neg.f64 (/.f64 1/2 (*.f64 N N)))))))) (#(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 (neg.f64 (/.f64 1/2 (*.f64 N N))) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 N -2) -1/2) (*.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 (*.f64 N N)))))) (#(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 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (pow.f64 N -2)) (+.f64 (pow.f64 (*.f64 1/9 (pow.f64 N -2)) 3) (pow.f64 (+.f64 1/4 (/.f64 1/6 N)) 3))) (+.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) (-.f64 (*.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 1/4 (/.f64 1/6 N))) (*.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 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simplify119.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1094×associate-*r*
968×associate-*l*
818×associate-/r*
706×*-commutative
568×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061612627
1190112015
Stop Event
1×node limit
Counts
267 → 386
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 1/3 N)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
-1/2
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
-1/2
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.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))
(log1p.f64 (expm1.f64 (/.f64 1/3 N)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (/.f64 1/2 (*.f64 N N))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1 (neg.f64 (/.f64 1/2 (*.f64 N N)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (neg.f64 (/.f64 1/2 (*.f64 N N))) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 1/3 (pow.f64 N -3)))
(-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1/2 (*.f64 N N)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) 1)
(*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))
(*.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 1)
(*.f64 1 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))
(*.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2)))
(*.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))
(*.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 (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)))
(*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (/.f64 1 N))
(*.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2))
(*.f64 (-.f64 1/2 (/.f64 1/3 N)) (/.f64 1 (*.f64 N (neg.f64 N))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 (sqrt.f64 N) N)) (pow.f64 N -1/2))
(*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 (pow.f64 (cbrt.f64 N) 2) N)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 1 (*.f64 N (neg.f64 N))) (-.f64 1/2 (/.f64 1/3 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N N)) (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (cbrt.f64 (pow.f64 N 4))) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) N) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (*.f64 N N)) (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(*.f64 (/.f64 1 (/.f64 (*.f64 N N) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2))) (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (neg.f64 N)) -1)
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4) (pow.f64 N -2)) (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)) (+.f64 (/.f64 1/3 N) -1/2))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4) (pow.f64 N -2)) (+.f64 1/8 (/.f64 1/27 (pow.f64 N 3)))) (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (/.f64 1/6 N))))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (pow.f64 N -2)) (-.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) (*.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 1/4 (/.f64 1/6 N))))) (-.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (pow.f64 N -2)) (+.f64 (pow.f64 (*.f64 1/9 (pow.f64 N -2)) 3) (pow.f64 (+.f64 1/4 (/.f64 1/6 N)) 3))) (+.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) (-.f64 (*.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 1/4 (/.f64 1/6 N))) (*.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))))))
(pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 3)
(pow.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) -1)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N (neg.f64 N))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))
(-.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) (-.f64 1 (/.f64 1 N)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 N))) (-.f64 1 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (/.f64 1/2 (*.f64 N N)))
(-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) 1)) N) (*.f64 (/.f64 (pow.f64 N -2) (-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) 1)) N))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) (exp.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (+.f64 (/.f64 1 N) (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))) 1)
(*.f64 1 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))
(*.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 1)
(*.f64 (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N)) (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N)))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))))
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2)) (*.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) 1)) N))
(*.f64 (pow.f64 N -3) (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) N (*.f64 N N)))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) (pow.f64 N -3)) (/.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -3))))))
(*.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) N (*.f64 N N)) (pow.f64 N -3))
(*.f64 (*.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) 1)) N) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -3))))) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) (pow.f64 N -3)))
(*.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2)) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2))) (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))
(*.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2)) (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) (pow.f64 N -3))) (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (+.f64 (pow.f64 N -2) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -3)))))
(*.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2)) (-.f64 (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N N))) (pow.f64 N 3))
(*.f64 (/.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) N) 1)) N)
(*.f64 (/.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) (neg.f64 N)) (*.f64 (*.f64 N N) -1))) (*.f64 (*.f64 N N) (neg.f64 N)))
(*.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2)) (-.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 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2)) (-.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 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2)) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N) N)) (*.f64 N N))
(*.f64 (/.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 (/.f64 1/3 N) -1/2) N) (neg.f64 N)) (*.f64 N -1))) (*.f64 N (neg.f64 N)))
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(/.f64 1 (/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2))))
(/.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2))))
(/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4) (+.f64 (/.f64 1/3 N) 1/2))
(/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4) (/.f64 1 (/.f64 1 (+.f64 (/.f64 1/3 N) 1/2))))
(/.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))))
(/.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))))
(/.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (/.f64 1 (/.f64 1 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))))))
(/.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (*.f64 1 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2)))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)) (/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))) (sqrt.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)) (/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (sqrt.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)) (/.f64 (+.f64 (/.f64 1/3 N) 1/2) (sqrt.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)) (cbrt.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8))) (/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))) (cbrt.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)) (cbrt.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8))) (/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (cbrt.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)) (cbrt.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4))) (/.f64 (+.f64 (/.f64 1/3 N) 1/2) (cbrt.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)) (neg.f64 (+.f64 (/.f64 1/3 N) 1/2)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)) (*.f64 1 (neg.f64 (+.f64 (/.f64 1/3 N) 1/2))))
(/.f64 (neg.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)) (neg.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N)))))
(/.f64 (neg.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)) (*.f64 1 (neg.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) 1/16) (*.f64 (+.f64 (/.f64 1/3 N) 1/2) (+.f64 (*.f64 1/9 (pow.f64 N -2)) 1/4)))
(/.f64 (-.f64 (*.f64 (/.f64 1/27 (pow.f64 N 3)) (/.f64 1/27 (pow.f64 N 3))) 1/64) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))) (+.f64 1/8 (/.f64 1/27 (pow.f64 N 3)))))
(/.f64 (-.f64 (*.f64 (/.f64 1/27 (pow.f64 N 3)) (/.f64 1/27 (pow.f64 N 3))) 1/64) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (+.f64 1/8 (/.f64 1/27 (pow.f64 N 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/9 (pow.f64 N -2)) 3) 1/64) (*.f64 (+.f64 (/.f64 1/3 N) 1/2) (+.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) (+.f64 1/16 (*.f64 (*.f64 1/9 (pow.f64 N -2)) 1/4)))))
(/.f64 (-.f64 (pow.f64 (/.f64 1/27 (pow.f64 N 3)) 3) 1/512) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))) (+.f64 (*.f64 (/.f64 1/27 (pow.f64 N 3)) (/.f64 1/27 (pow.f64 N 3))) (+.f64 1/64 (*.f64 (/.f64 1/27 (pow.f64 N 3)) 1/8)))))
(/.f64 (-.f64 (pow.f64 (/.f64 1/27 (pow.f64 N 3)) 3) 1/512) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (+.f64 (*.f64 (/.f64 1/27 (pow.f64 N 3)) (/.f64 1/27 (pow.f64 N 3))) (+.f64 1/64 (*.f64 (/.f64 1/27 (pow.f64 N 3)) 1/8)))))
(pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/3 N) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 1/3 N) 1/2)))
(exp.f64 (log.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/3 N) -1/2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(fma.f64 1/3 (/.f64 1 N) -1/2)
(fma.f64 1 (/.f64 1/3 N) -1/2)
(fma.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (cbrt.f64 (/.f64 1/3 N)) -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 -1/2 (/.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 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.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 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.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 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.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 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.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 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.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 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.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 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.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 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.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 -1/2 (/.f64 1/3 N)) (*.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.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 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.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 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N)))
(/.f64 1/3 N)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
-1/2
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
-1/2
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 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 (*.f64 (pow.f64 N -1/2) (pow.f64 N -1/2)))
(*.f64 1/3 (pow.f64 N -1))
(*.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)))
(/.f64 1/3 N)
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (/.f64 1/2 (*.f64 N N))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1 (neg.f64 (/.f64 1/2 (*.f64 N N)))))
(fma.f64 1/3 (pow.f64 N -3) (/.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 (neg.f64 (/.f64 1/2 (*.f64 N N))) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1/2 (*.f64 N N)))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) 1)
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(*.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 1)
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(*.f64 1 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(*.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2)))
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(fma.f64 1 (/.f64 1/3 N) -1/2)
(+.f64 -1/2 (/.f64 1/3 N))
(fma.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)) -1/2)
(+.f64 -1/2 (/.f64 1/3 N))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (cbrt.f64 (/.f64 1/3 N)) -1/2)
(+.f64 -1/2 (/.f64 1/3 N))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 N (*.f64 N (*.f64 N 2)))
✓38.8b
(/.f64 (*.f64 N (*.f64 N 2)) (*.f64 N (*.f64 N (*.f64 N 2))))
Compiler

Compiled 31 to 19 computations (38.7% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite103.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1098×*-commutative
842×swap-sqr
816×unswap-sqr
530×div-inv
526×clear-num
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0837
117519
227047
Stop Event
1×node limit
Counts
1 → 145
Calls
Call 1
Inputs
(/.f64 (*.f64 N (*.f64 N 2)) (*.f64 N (*.f64 N (*.f64 N 2))))
Outputs
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(2) ((x sqrt.f64 (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 N 6) 4)) (pow.f64 (*.f64 2 (pow.f64 N 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 N 2) 3) (*.f64 2 (*.f64 (pow.f64 N 6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 N)))))))

simplify121.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1330×distribute-lft-in
1322×distribute-rgt-in
586×associate-*r/
578×*-commutative
572×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03294365
110243897
237463879
Stop Event
1×node limit
Counts
157 → 187
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(+.f64 (exp.f64 (log1p.f64 (/.f64 1 N))) -1)
(-.f64 0 (/.f64 1 (neg.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 N (pow.f64 N -2))
(*.f64 2 (/.f64 1 (*.f64 N 2)))
(*.f64 (*.f64 N 2) (/.f64 1 (*.f64 2 (*.f64 N N))))
(*.f64 (*.f64 N 2) (/.f64 N (*.f64 2 (pow.f64 N 3))))
(*.f64 (*.f64 2 (*.f64 N N)) (/.f64 (pow.f64 N -2) (*.f64 N 2)))
(*.f64 (/.f64 1 N) 1)
(*.f64 1 (/.f64 1 N))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 1 (sqrt.f64 N)))
(*.f64 (sqrt.f64 (*.f64 N 2)) (/.f64 (sqrt.f64 (*.f64 N 2)) (*.f64 2 (*.f64 N N))))
(*.f64 (*.f64 N (sqrt.f64 2)) (/.f64 (*.f64 N (sqrt.f64 2)) (*.f64 2 (pow.f64 N 3))))
(*.f64 (sqrt.f64 N) (/.f64 1 (/.f64 N (/.f64 1 (sqrt.f64 N)))))
(*.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N -2)))
(*.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (cbrt.f64 (*.f64 (pow.f64 N 6) 4))))
(*.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (/.f64 (cbrt.f64 (*.f64 N 2)) (*.f64 2 (*.f64 N N))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) (*.f64 2 (pow.f64 N 3))))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 1 (/.f64 N (/.f64 (cbrt.f64 N) N))))
(*.f64 (pow.f64 N -2) N)
(*.f64 (*.f64 N N) (/.f64 2 (*.f64 2 (pow.f64 N 3))))
(*.f64 (/.f64 (pow.f64 N -2) (*.f64 N 2)) (*.f64 2 (*.f64 N N)))
(*.f64 (*.f64 N (*.f64 N -2)) (/.f64 1 (*.f64 (pow.f64 N 3) -2)))
(*.f64 (/.f64 2 (*.f64 2 (pow.f64 N 3))) (*.f64 N N))
(*.f64 (/.f64 (*.f64 2 (*.f64 N N)) (*.f64 N (sqrt.f64 (*.f64 N 2)))) (/.f64 1 (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(*.f64 (/.f64 (*.f64 2 (*.f64 N N)) (cbrt.f64 (*.f64 (pow.f64 N 6) 4))) (/.f64 1 (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
(*.f64 (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (/.f64 1 (cbrt.f64 (*.f64 2 (*.f64 N N)))))
(*.f64 (/.f64 1 (*.f64 2 (*.f64 N N))) (*.f64 N 2))
(*.f64 (/.f64 1 (*.f64 N (sqrt.f64 (*.f64 N 2)))) (/.f64 (*.f64 2 (*.f64 N N)) (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 N 6) 4))) (/.f64 (*.f64 2 (*.f64 N N)) (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
(*.f64 (/.f64 (*.f64 N 2) N) (/.f64 1 (*.f64 N 2)))
(*.f64 (/.f64 (*.f64 N 2) (*.f64 N (sqrt.f64 2))) (/.f64 1 (*.f64 N (sqrt.f64 2))))
(*.f64 (*.f64 (*.f64 N 2) (pow.f64 N -2)) (/.f64 N (*.f64 N 2)))
(*.f64 (*.f64 (*.f64 N 2) (pow.f64 N -2)) 1/2)
(*.f64 (/.f64 (*.f64 2 (*.f64 N N)) (cbrt.f64 (*.f64 2 (pow.f64 N 3)))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 N 6) 4))))
(*.f64 (/.f64 N (*.f64 N 2)) (*.f64 (*.f64 N 2) (pow.f64 N -2)))
(*.f64 (/.f64 N (*.f64 N 2)) (/.f64 2 N))
(*.f64 (/.f64 1 (*.f64 N 2)) 2)
(*.f64 (/.f64 1 (*.f64 N 2)) (/.f64 (*.f64 N 2) N))
(*.f64 (/.f64 N (*.f64 N (sqrt.f64 2))) (/.f64 2 (*.f64 N (sqrt.f64 2))))
(*.f64 (/.f64 N (cbrt.f64 (*.f64 2 (*.f64 N N)))) (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(*.f64 (*.f64 N 1/2) (*.f64 2 (pow.f64 N -2)))
(*.f64 (/.f64 (*.f64 N 2) (*.f64 N (sqrt.f64 (*.f64 N 2)))) (/.f64 N (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(*.f64 (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 2 (pow.f64 N 3)))) (/.f64 N (cbrt.f64 (*.f64 (pow.f64 N 6) 4))))
(*.f64 (/.f64 N (*.f64 2 (pow.f64 N 3))) (*.f64 N 2))
(*.f64 (neg.f64 N) (/.f64 1 (*.f64 N (neg.f64 N))))
(*.f64 (*.f64 N -2) (/.f64 1 (*.f64 N (*.f64 N -2))))
(*.f64 -1 (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (*.f64 (pow.f64 N 3) -2)) (*.f64 N (*.f64 N -2)))
(*.f64 (/.f64 N (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (/.f64 2 (cbrt.f64 (*.f64 2 (*.f64 N N)))))
(*.f64 (/.f64 1 (*.f64 N (sqrt.f64 2))) (/.f64 (*.f64 N 2) (*.f64 N (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 2 (*.f64 N N)))))
(*.f64 (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 2 (*.f64 N N)))) (/.f64 1 (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(*.f64 (/.f64 (*.f64 N (sqrt.f64 2)) N) (/.f64 (*.f64 N (sqrt.f64 2)) (*.f64 2 (*.f64 N N))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) N) (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (*.f64 2 (*.f64 N N))))
(*.f64 (/.f64 2 N) (/.f64 N (*.f64 N 2)))
(*.f64 (/.f64 N (*.f64 N (sqrt.f64 (*.f64 N 2)))) (/.f64 (*.f64 N 2) (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(*.f64 (/.f64 N (cbrt.f64 (*.f64 (pow.f64 N 6) 4))) (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
(*.f64 (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 (pow.f64 N 6) 4))) (/.f64 N (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
(*.f64 (/.f64 N (cbrt.f64 (*.f64 2 (pow.f64 N 3)))) (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 (pow.f64 N 6) 4))))
(*.f64 (/.f64 (*.f64 N (sqrt.f64 2)) (*.f64 2 (*.f64 N N))) (/.f64 (*.f64 N (sqrt.f64 2)) N))
(*.f64 (/.f64 (*.f64 N (sqrt.f64 2)) (*.f64 2 (pow.f64 N 3))) (*.f64 N (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 N (sqrt.f64 2)) (cbrt.f64 (*.f64 (pow.f64 N 6) 4))) (/.f64 (*.f64 N (sqrt.f64 2)) (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
(*.f64 (/.f64 (*.f64 N (sqrt.f64 2)) (cbrt.f64 (*.f64 2 (pow.f64 N 3)))) (/.f64 (*.f64 N (sqrt.f64 2)) (cbrt.f64 (*.f64 (pow.f64 N 6) 4))))
(*.f64 (*.f64 (*.f64 N (sqrt.f64 2)) (pow.f64 N -2)) (/.f64 (*.f64 N (sqrt.f64 2)) (*.f64 N 2)))
(*.f64 (/.f64 (*.f64 N (sqrt.f64 2)) (*.f64 N 2)) (*.f64 (*.f64 N (sqrt.f64 2)) (pow.f64 N -2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) N) (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) (*.f64 2 (*.f64 N N))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) (*.f64 2 (*.f64 N N))) (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) N))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (*.f64 2 (*.f64 N N))) (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) N))
(*.f64 (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) (*.f64 2 (pow.f64 N 3))) (cbrt.f64 (*.f64 4 (pow.f64 N 4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (*.f64 N (sqrt.f64 (*.f64 N 2)))) (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) (*.f64 N (sqrt.f64 (*.f64 N 2)))) (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (cbrt.f64 (*.f64 (pow.f64 N 6) 4))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (pow.f64 N -2)) (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) (*.f64 N 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) (*.f64 N 2)) (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (pow.f64 N -2)))
(*.f64 (/.f64 (*.f64 N N) (*.f64 N (sqrt.f64 (*.f64 N 2)))) (/.f64 2 (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(*.f64 (/.f64 2 (*.f64 N (sqrt.f64 (*.f64 N 2)))) (/.f64 (*.f64 N N) (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(*.f64 (/.f64 (*.f64 N N) (cbrt.f64 (*.f64 (pow.f64 N 6) 4))) (/.f64 2 (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
(*.f64 (/.f64 2 (cbrt.f64 (*.f64 2 (pow.f64 N 3)))) (/.f64 (*.f64 N N) (cbrt.f64 (*.f64 (pow.f64 N 6) 4))))
(*.f64 (/.f64 2 (*.f64 N (sqrt.f64 2))) (/.f64 N (*.f64 N (sqrt.f64 2))))
(*.f64 (/.f64 2 (cbrt.f64 (*.f64 2 (*.f64 N N)))) (/.f64 N (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(*.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (/.f64 N (cbrt.f64 (*.f64 2 (*.f64 N N)))))
(*.f64 (*.f64 2 (pow.f64 N -2)) (*.f64 N 1/2))
(*.f64 (/.f64 (sqrt.f64 (*.f64 N 2)) N) (/.f64 (sqrt.f64 (*.f64 N 2)) (*.f64 N 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 N 2)) (*.f64 N 2)) (/.f64 (sqrt.f64 (*.f64 N 2)) N))
(*.f64 (/.f64 (sqrt.f64 (*.f64 N 2)) (*.f64 2 (*.f64 N N))) (sqrt.f64 (*.f64 N 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 N 2)) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (/.f64 (sqrt.f64 (*.f64 N 2)) (cbrt.f64 (*.f64 2 (*.f64 N N)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 N 2)) (cbrt.f64 (*.f64 2 (*.f64 N N)))) (/.f64 (sqrt.f64 (*.f64 N 2)) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 N 2)) (pow.f64 N -2)) (*.f64 (sqrt.f64 (*.f64 N 2)) 1/2))
(*.f64 (*.f64 (sqrt.f64 (*.f64 N 2)) 1/2) (*.f64 (sqrt.f64 (*.f64 N 2)) (pow.f64 N -2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) N) (/.f64 (cbrt.f64 (*.f64 N 2)) (*.f64 N 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 N 2)) (*.f64 N 2)) (/.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) N))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (*.f64 N 2)) (/.f64 (cbrt.f64 (*.f64 N 2)) N))
(*.f64 (/.f64 (cbrt.f64 (*.f64 N 2)) N) (/.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (*.f64 N 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 N 2)) (*.f64 2 (*.f64 N N))) (cbrt.f64 (*.f64 (*.f64 N N) 4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (*.f64 N (sqrt.f64 2))) (/.f64 (cbrt.f64 (*.f64 N 2)) (*.f64 N (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 N 2)) (*.f64 N (sqrt.f64 2))) (/.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (*.f64 N (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (pow.f64 N -2)) (*.f64 (cbrt.f64 (*.f64 N 2)) 1/2))
(*.f64 (*.f64 (cbrt.f64 (*.f64 N 2)) 1/2) (*.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (pow.f64 N -2)))
(*.f64 (/.f64 N (*.f64 (pow.f64 N 3) -2)) (*.f64 N -2))
(*.f64 (/.f64 N (/.f64 (*.f64 2 (pow.f64 N 3)) N)) 2)
(*.f64 (/.f64 N (*.f64 (*.f64 2 (pow.f64 N 3)) 1/2)) N)
(*.f64 (/.f64 N (/.f64 (*.f64 2 (pow.f64 N 3)) (sqrt.f64 (*.f64 N 2)))) (sqrt.f64 (*.f64 N 2)))
(*.f64 (/.f64 N (/.f64 (*.f64 2 (pow.f64 N 3)) (cbrt.f64 (*.f64 (*.f64 N N) 4)))) (cbrt.f64 (*.f64 N 2)))
(*.f64 (/.f64 2 (*.f64 N (*.f64 N -2))) (neg.f64 N))
(*.f64 (/.f64 2 (/.f64 (*.f64 2 (*.f64 N N)) (sqrt.f64 N))) (sqrt.f64 N))
(*.f64 (/.f64 2 (/.f64 (*.f64 2 (*.f64 N N)) (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(*.f64 (/.f64 1 (/.f64 (*.f64 2 (pow.f64 N 3)) (cbrt.f64 (*.f64 4 (pow.f64 N 4))))) (cbrt.f64 (*.f64 2 (*.f64 N N))))
(*.f64 (/.f64 1 (*.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N -2))) 2)
(*.f64 (/.f64 (sqrt.f64 N) (*.f64 N N)) (sqrt.f64 N))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (*.f64 2 (*.f64 N N))) (cbrt.f64 (*.f64 N 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (*.f64 2 (pow.f64 N 3))) (cbrt.f64 (*.f64 2 (*.f64 N N))))
(*.f64 (/.f64 (*.f64 N N) (*.f64 2 (pow.f64 N 3))) 2)
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 N))) (/.f64 1 (cbrt.f64 N))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 N))) (/.f64 1 (cbrt.f64 N))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 N))) (sqrt.f64 (cbrt.f64 (pow.f64 N -2)))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 N))) (sqrt.f64 (cbrt.f64 (pow.f64 N -2)))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 N)) (sqrt.f64 (/.f64 1 (cbrt.f64 N)))) (*.f64 (/.f64 1 (cbrt.f64 N)) (sqrt.f64 (/.f64 1 (cbrt.f64 N)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (/.f64 1 (sqrt.f64 N)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (/.f64 1 (sqrt.f64 N)))))
(*.f64 (*.f64 (/.f64 1 N) (sqrt.f64 N)) (*.f64 (/.f64 1 N) (sqrt.f64 N)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 N)) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 N)) 3/2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/6))
(*.f64 (pow.f64 N -1/2) (pow.f64 N -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N N)) (cbrt.f64 N))
(pow.f64 N -1)
(pow.f64 (/.f64 1 N) 1)
(pow.f64 (/.f64 1 (sqrt.f64 N)) 2)
(pow.f64 (/.f64 1 (cbrt.f64 N)) 3)
(pow.f64 (/.f64 1 (pow.f64 N 3)) 1/3)
(neg.f64 (/.f64 1 (neg.f64 N)))
(neg.f64 (*.f64 (/.f64 1 (neg.f64 N)) 1))
(neg.f64 (*.f64 1 (/.f64 1 (neg.f64 N))))
(neg.f64 (/.f64 N (*.f64 N (neg.f64 N))))
(neg.f64 (/.f64 (*.f64 N 2) (*.f64 N (*.f64 N -2))))
(neg.f64 (/.f64 (*.f64 N (*.f64 N -2)) (*.f64 2 (pow.f64 N 3))))
(sqrt.f64 (pow.f64 N -2))
(log.f64 (exp.f64 (/.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 N))))
(cbrt.f64 (/.f64 1 (pow.f64 N 3)))
(cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 N 6) 4)) (pow.f64 (*.f64 2 (pow.f64 N 3)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 N 2) 3) (*.f64 2 (*.f64 (pow.f64 N 6) 4))))
(expm1.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (neg.f64 (log.f64 N)))
(log1p.f64 (expm1.f64 (/.f64 1 N)))
Outputs
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(+.f64 (exp.f64 (log1p.f64 (/.f64 1 N))) -1)
(/.f64 1 N)
(-.f64 0 (/.f64 1 (neg.f64 N)))
(/.f64 1 N)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 N))) 1)
(/.f64 1 N)
(*.f64 N (pow.f64 N -2))
(/.f64 1 N)
(*.f64 2 (/.f64 1 (*.f64 N 2)))
(/.f64 1 N)
(*.f64 (*.f64 N 2) (/.f64 1 (*.f64 2 (*.f64 N N))))
(/.f64 1 N)
(*.f64 (*.f64 N 2) (/.f64 N (*.f64 2 (pow.f64 N 3))))
(/.f64 1 N)
(*.f64 (*.f64 2 (*.f64 N N)) (/.f64 (pow.f64 N -2) (*.f64 N 2)))
(/.f64 1 N)
(*.f64 (/.f64 1 N) 1)
(/.f64 1 N)
(*.f64 1 (/.f64 1 N))
(/.f64 1 N)
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 1 (sqrt.f64 N)))
(pow.f64 (/.f64 1 (sqrt.f64 N)) 2)
(*.f64 (sqrt.f64 (*.f64 N 2)) (/.f64 (sqrt.f64 (*.f64 N 2)) (*.f64 2 (*.f64 N N))))
(/.f64 1 N)
(*.f64 (*.f64 N (sqrt.f64 2)) (/.f64 (*.f64 N (sqrt.f64 2)) (*.f64 2 (pow.f64 N 3))))
(/.f64 1 N)
(*.f64 (sqrt.f64 N) (/.f64 1 (/.f64 N (/.f64 1 (sqrt.f64 N)))))
(/.f64 1 N)
(*.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N -2)))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 N))
(*.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (cbrt.f64 (*.f64 (pow.f64 N 6) 4))))
(*.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (cbrt.f64 (*.f64 4 (pow.f64 N 6)))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (cbrt.f64 (*.f64 4 (pow.f64 N 6)))) (cbrt.f64 N))
(*.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(*.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 (cbrt.f64 (*.f64 N (*.f64 N 4))) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (cbrt.f64 N))
(/.f64 (/.f64 (cbrt.f64 (*.f64 N (*.f64 N 4))) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (cbrt.f64 N))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N -2)))
(/.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 N))
(*.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (/.f64 (cbrt.f64 (*.f64 N 2)) (*.f64 2 (*.f64 N N))))
(*.f64 (cbrt.f64 (*.f64 N (*.f64 N 4))) (/.f64 (cbrt.f64 (*.f64 N 2)) (*.f64 2 (*.f64 N N))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (/.f64 (cbrt.f64 (*.f64 N 2)) (*.f64 N (*.f64 N 2))))
(/.f64 (cbrt.f64 (*.f64 N (*.f64 N 4))) (/.f64 (*.f64 N (*.f64 N 2)) (cbrt.f64 (*.f64 N 2))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) (*.f64 2 (pow.f64 N 3))))
(*.f64 (cbrt.f64 (*.f64 N (*.f64 N 2))) (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 3))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (/.f64 (cbrt.f64 (*.f64 N (*.f64 N 2))) (*.f64 2 (pow.f64 N 3))))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 1 (/.f64 N (/.f64 (cbrt.f64 N) N))))
(/.f64 1 N)
(*.f64 (pow.f64 N -2) N)
(/.f64 1 N)
(*.f64 (*.f64 N N) (/.f64 2 (*.f64 2 (pow.f64 N 3))))
(/.f64 1 N)
(*.f64 (/.f64 (pow.f64 N -2) (*.f64 N 2)) (*.f64 2 (*.f64 N N)))
(/.f64 1 N)
(*.f64 (*.f64 N (*.f64 N -2)) (/.f64 1 (*.f64 (pow.f64 N 3) -2)))
(/.f64 1 N)
(*.f64 (/.f64 2 (*.f64 2 (pow.f64 N 3))) (*.f64 N N))
(/.f64 1 N)
(*.f64 (/.f64 (*.f64 2 (*.f64 N N)) (*.f64 N (sqrt.f64 (*.f64 N 2)))) (/.f64 1 (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(*.f64 (*.f64 (/.f64 2 N) (/.f64 (*.f64 N N) (sqrt.f64 (*.f64 N 2)))) (/.f64 1 (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 N 2))) (sqrt.f64 (*.f64 N 2)))
(*.f64 (/.f64 (*.f64 2 (*.f64 N N)) (cbrt.f64 (*.f64 (pow.f64 N 6) 4))) (/.f64 1 (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
(*.f64 (/.f64 2 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 6))) (*.f64 N N))) (/.f64 1 (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
(*.f64 (/.f64 N (/.f64 (cbrt.f64 (*.f64 2 (pow.f64 N 3))) 2)) (/.f64 N (cbrt.f64 (*.f64 4 (pow.f64 N 6)))))
(/.f64 (/.f64 N (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 6))) N)) (/.f64 (cbrt.f64 (*.f64 2 (pow.f64 N 3))) 2))
(*.f64 (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (/.f64 1 (cbrt.f64 (*.f64 2 (*.f64 N N)))))
(*.f64 (/.f64 N (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) 2)) (/.f64 1 (cbrt.f64 (*.f64 2 (*.f64 N N)))))
(*.f64 (/.f64 N (cbrt.f64 (*.f64 N (*.f64 N 2)))) (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(/.f64 (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (cbrt.f64 (*.f64 N (*.f64 N 2))))
(*.f64 (/.f64 1 (*.f64 2 (*.f64 N N))) (*.f64 N 2))
(/.f64 1 N)
(*.f64 (/.f64 1 (*.f64 N (sqrt.f64 (*.f64 N 2)))) (/.f64 (*.f64 2 (*.f64 N N)) (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(*.f64 (*.f64 (/.f64 2 N) (/.f64 (*.f64 N N) (sqrt.f64 (*.f64 N 2)))) (/.f64 1 (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 N 2))) (sqrt.f64 (*.f64 N 2)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 N 6) 4))) (/.f64 (*.f64 2 (*.f64 N N)) (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
(*.f64 (/.f64 2 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 6))) (*.f64 N N))) (/.f64 1 (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
(*.f64 (/.f64 N (/.f64 (cbrt.f64 (*.f64 2 (pow.f64 N 3))) 2)) (/.f64 N (cbrt.f64 (*.f64 4 (pow.f64 N 6)))))
(/.f64 (/.f64 N (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 6))) N)) (/.f64 (cbrt.f64 (*.f64 2 (pow.f64 N 3))) 2))
(*.f64 (/.f64 (*.f64 N 2) N) (/.f64 1 (*.f64 N 2)))
(/.f64 1 N)
(*.f64 (/.f64 (*.f64 N 2) (*.f64 N (sqrt.f64 2))) (/.f64 1 (*.f64 N (sqrt.f64 2))))
(*.f64 (*.f64 (/.f64 N N) (/.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 1 N) (sqrt.f64 2)))
(/.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 N (sqrt.f64 2)))
(*.f64 (*.f64 (*.f64 N 2) (pow.f64 N -2)) (/.f64 N (*.f64 N 2)))
(/.f64 1 N)
(*.f64 (*.f64 (*.f64 N 2) (pow.f64 N -2)) 1/2)
(/.f64 1 N)
(*.f64 (/.f64 (*.f64 2 (*.f64 N N)) (cbrt.f64 (*.f64 2 (pow.f64 N 3)))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 N 6) 4))))
(*.f64 (/.f64 2 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 6))) (*.f64 N N))) (/.f64 1 (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
(*.f64 (/.f64 N (/.f64 (cbrt.f64 (*.f64 2 (pow.f64 N 3))) 2)) (/.f64 N (cbrt.f64 (*.f64 4 (pow.f64 N 6)))))
(/.f64 (/.f64 N (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 6))) N)) (/.f64 (cbrt.f64 (*.f64 2 (pow.f64 N 3))) 2))
(*.f64 (/.f64 N (*.f64 N 2)) (*.f64 (*.f64 N 2) (pow.f64 N -2)))
(/.f64 1 N)
(*.f64 (/.f64 N (*.f64 N 2)) (/.f64 2 N))
(/.f64 1 N)
(*.f64 (/.f64 1 (*.f64 N 2)) 2)
(/.f64 1 N)
(*.f64 (/.f64 1 (*.f64 N 2)) (/.f64 (*.f64 N 2) N))
(/.f64 1 N)
(*.f64 (/.f64 N (*.f64 N (sqrt.f64 2))) (/.f64 2 (*.f64 N (sqrt.f64 2))))
(*.f64 (*.f64 (/.f64 N N) (/.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 1 N) (sqrt.f64 2)))
(/.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 N (sqrt.f64 2)))
(*.f64 (/.f64 N (cbrt.f64 (*.f64 2 (*.f64 N N)))) (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(*.f64 (/.f64 N (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) 2)) (/.f64 1 (cbrt.f64 (*.f64 2 (*.f64 N N)))))
(*.f64 (/.f64 N (cbrt.f64 (*.f64 N (*.f64 N 2)))) (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(/.f64 (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (cbrt.f64 (*.f64 N (*.f64 N 2))))
(*.f64 (*.f64 N 1/2) (*.f64 2 (pow.f64 N -2)))
(/.f64 1 N)
(*.f64 (/.f64 (*.f64 N 2) (*.f64 N (sqrt.f64 (*.f64 N 2)))) (/.f64 N (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(*.f64 (*.f64 (/.f64 2 N) (/.f64 (*.f64 N N) (sqrt.f64 (*.f64 N 2)))) (/.f64 1 (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 N 2))) (sqrt.f64 (*.f64 N 2)))
(*.f64 (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 2 (pow.f64 N 3)))) (/.f64 N (cbrt.f64 (*.f64 (pow.f64 N 6) 4))))
(*.f64 (/.f64 2 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 6))) (*.f64 N N))) (/.f64 1 (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
(*.f64 (/.f64 N (/.f64 (cbrt.f64 (*.f64 2 (pow.f64 N 3))) 2)) (/.f64 N (cbrt.f64 (*.f64 4 (pow.f64 N 6)))))
(/.f64 (/.f64 N (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 6))) N)) (/.f64 (cbrt.f64 (*.f64 2 (pow.f64 N 3))) 2))
(*.f64 (/.f64 N (*.f64 2 (pow.f64 N 3))) (*.f64 N 2))
(/.f64 1 N)
(*.f64 (neg.f64 N) (/.f64 1 (*.f64 N (neg.f64 N))))
(/.f64 1 N)
(*.f64 (*.f64 N -2) (/.f64 1 (*.f64 N (*.f64 N -2))))
(/.f64 1 N)
(*.f64 -1 (/.f64 1 (neg.f64 N)))
(/.f64 1 N)
(*.f64 (/.f64 1 (*.f64 (pow.f64 N 3) -2)) (*.f64 N (*.f64 N -2)))
(/.f64 1 N)
(*.f64 (/.f64 N (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (/.f64 2 (cbrt.f64 (*.f64 2 (*.f64 N N)))))
(*.f64 (/.f64 N (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) 2)) (/.f64 1 (cbrt.f64 (*.f64 2 (*.f64 N N)))))
(*.f64 (/.f64 N (cbrt.f64 (*.f64 N (*.f64 N 2)))) (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(/.f64 (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (cbrt.f64 (*.f64 N (*.f64 N 2))))
(*.f64 (/.f64 1 (*.f64 N (sqrt.f64 2))) (/.f64 (*.f64 N 2) (*.f64 N (sqrt.f64 2))))
(*.f64 (*.f64 (/.f64 N N) (/.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 1 N) (sqrt.f64 2)))
(/.f64 (/.f64 2 (sqrt.f64 2)) (*.f64 N (sqrt.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 2 (*.f64 N N)))))
(*.f64 (/.f64 N (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) 2)) (/.f64 1 (cbrt.f64 (*.f64 2 (*.f64 N N)))))
(*.f64 (/.f64 N (cbrt.f64 (*.f64 N (*.f64 N 2)))) (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(/.f64 (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (cbrt.f64 (*.f64 N (*.f64 N 2))))
(*.f64 (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 2 (*.f64 N N)))) (/.f64 1 (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(*.f64 (/.f64 N (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) 2)) (/.f64 1 (cbrt.f64 (*.f64 2 (*.f64 N N)))))
(*.f64 (/.f64 N (cbrt.f64 (*.f64 N (*.f64 N 2)))) (/.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 N 4)))))
(/.f64 (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 4 (pow.f64 N 4)))) (cbrt.f64 (*.f64 N (*.f64 N 2))))
(*.f64 (/.f64 (*.f64 N (sqrt.f64 2)) N) (/.f64 (*.f64 N (sqrt.f64 2)) (*.f64 2 (*.f64 N N))))
(/.f64 1 N)
(*.f64 (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) N) (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (*.f64 2 (*.f64 N N))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) (*.f64 2 (pow.f64 N 3))))
(*.f64 (cbrt.f64 (*.f64 N (*.f64 N 2))) (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 3))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (/.f64 (cbrt.f64 (*.f64 N (*.f64 N 2))) (*.f64 2 (pow.f64 N 3))))
(*.f64 (/.f64 2 N) (/.f64 N (*.f64 N 2)))
(/.f64 1 N)
(*.f64 (/.f64 N (*.f64 N (sqrt.f64 (*.f64 N 2)))) (/.f64 (*.f64 N 2) (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(*.f64 (*.f64 (/.f64 2 N) (/.f64 (*.f64 N N) (sqrt.f64 (*.f64 N 2)))) (/.f64 1 (*.f64 N (sqrt.f64 (*.f64 N 2)))))
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 N 2))) (sqrt.f64 (*.f64 N 2)))
(*.f64 (/.f64 N (cbrt.f64 (*.f64 (pow.f64 N 6) 4))) (/.f64 (*.f64 N 2) (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
(*.f64 (/.f64 2 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 6))) (*.f64 N N))) (/.f64 1 (cbrt.f64 (*.f64 2 (pow.f64 N 3)))))
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(*.f64 (cbrt.f64 (*.f64 N (*.f64 N 4))) (*.f64 (pow.f64 N -2) (*.f64 (cbrt.f64 (*.f64 N 2)) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (*.f64 (pow.f64 N -2) (*.f64 (cbrt.f64 (*.f64 N 2)) 1/2)))
(*.f64 (*.f64 (pow.f64 N -2) (cbrt.f64 (*.f64 N (*.f64 N 4)))) (*.f64 (cbrt.f64 (*.f64 N 2)) 1/2))
(*.f64 (/.f64 N (*.f64 (pow.f64 N 3) -2)) (*.f64 N -2))
(/.f64 1 N)
(*.f64 (/.f64 N (/.f64 (*.f64 2 (pow.f64 N 3)) N)) 2)
(/.f64 1 N)
(*.f64 (/.f64 N (*.f64 (*.f64 2 (pow.f64 N 3)) 1/2)) N)
(/.f64 1 N)
(*.f64 (/.f64 N (/.f64 (*.f64 2 (pow.f64 N 3)) (sqrt.f64 (*.f64 N 2)))) (sqrt.f64 (*.f64 N 2)))
(/.f64 1 N)
(*.f64 (/.f64 N (/.f64 (*.f64 2 (pow.f64 N 3)) (cbrt.f64 (*.f64 (*.f64 N N) 4)))) (cbrt.f64 (*.f64 N 2)))
(*.f64 (cbrt.f64 (*.f64 N (*.f64 N 4))) (*.f64 (pow.f64 N -2) (*.f64 (cbrt.f64 (*.f64 N 2)) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (*.f64 (pow.f64 N -2) (*.f64 (cbrt.f64 (*.f64 N 2)) 1/2)))
(*.f64 (*.f64 (pow.f64 N -2) (cbrt.f64 (*.f64 N (*.f64 N 4)))) (*.f64 (cbrt.f64 (*.f64 N 2)) 1/2))
(*.f64 (/.f64 2 (*.f64 N (*.f64 N -2))) (neg.f64 N))
(/.f64 1 N)
(*.f64 (/.f64 2 (/.f64 (*.f64 2 (*.f64 N N)) (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 1 N)
(*.f64 (/.f64 2 (/.f64 (*.f64 2 (*.f64 N N)) (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 1 N)
(*.f64 (/.f64 1 (/.f64 (*.f64 2 (pow.f64 N 3)) (cbrt.f64 (*.f64 4 (pow.f64 N 4))))) (cbrt.f64 (*.f64 2 (*.f64 N N))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) (*.f64 2 (pow.f64 N 3))))
(*.f64 (cbrt.f64 (*.f64 N (*.f64 N 2))) (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 3))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (/.f64 (cbrt.f64 (*.f64 N (*.f64 N 2))) (*.f64 2 (pow.f64 N 3))))
(*.f64 (/.f64 1 (*.f64 (*.f64 2 (pow.f64 N 3)) (pow.f64 N -2))) 2)
(/.f64 1 N)
(*.f64 (/.f64 (sqrt.f64 N) (*.f64 N N)) (sqrt.f64 N))
(/.f64 1 N)
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (*.f64 2 (*.f64 N N))) (cbrt.f64 (*.f64 N 2)))
(*.f64 (cbrt.f64 (*.f64 N (*.f64 N 4))) (/.f64 (cbrt.f64 (*.f64 N 2)) (*.f64 2 (*.f64 N N))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 N N) 4)) (/.f64 (cbrt.f64 (*.f64 N 2)) (*.f64 N (*.f64 N 2))))
(/.f64 (cbrt.f64 (*.f64 N (*.f64 N 4))) (/.f64 (*.f64 N (*.f64 N 2)) (cbrt.f64 (*.f64 N 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (*.f64 2 (pow.f64 N 3))) (cbrt.f64 (*.f64 2 (*.f64 N N))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (/.f64 (cbrt.f64 (*.f64 2 (*.f64 N N))) (*.f64 2 (pow.f64 N 3))))
(*.f64 (cbrt.f64 (*.f64 N (*.f64 N 2))) (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 3))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 N 4))) (/.f64 (cbrt.f64 (*.f64 N (*.f64 N 2))) (*.f64 2 (pow.f64 N 3))))
(*.f64 (/.f64 (*.f64 N N) (*.f64 2 (pow.f64 N 3))) 2)
(/.f64 1 N)
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 N))) (/.f64 1 (cbrt.f64 N))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 N))) (/.f64 1 (cbrt.f64 N))))
(/.f64 1 N)
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 N))) (sqrt.f64 (cbrt.f64 (pow.f64 N -2)))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 N))) (sqrt.f64 (cbrt.f64 (pow.f64 N -2)))))
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 N))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N -2))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 N))) (sqrt.f64 (cbrt.f64 (pow.f64 N -2))))))
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 N))) (*.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 (sqrt.f64 N)))))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 N))) (cbrt.f64 (/.f64 1 (sqrt.f64 N)))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 N)) (sqrt.f64 (/.f64 1 (cbrt.f64 N)))) (*.f64 (/.f64 1 (cbrt.f64 N)) (sqrt.f64 (/.f64 1 (cbrt.f64 N)))))
(/.f64 1 N)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (/.f64 1 (sqrt.f64 N)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (/.f64 1 (sqrt.f64 N)))))
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 N))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N -2))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 N))) (sqrt.f64 (cbrt.f64 (pow.f64 N -2))))))
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 N))) (*.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 (sqrt.f64 N)))))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 N))) (cbrt.f64 (/.f64 1 (sqrt.f64 N)))))
(*.f64 (*.f64 (/.f64 1 N) (sqrt.f64 N)) (*.f64 (/.f64 1 N) (sqrt.f64 N)))
(/.f64 1 N)
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 N)) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 N)) 3/2))
(/.f64 1 N)
(*.f64 (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/6))
(cbrt.f64 (/.f64 1 (pow.f64 N 3)))
(cbrt.f64 (/.f64 (pow.f64 N -2) N))
(*.f64 (pow.f64 N -1/2) (pow.f64 N -1/2))
(/.f64 1 N)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N N)) (cbrt.f64 N))
(/.f64 1 N)
(pow.f64 N -1)
(/.f64 1 N)
(pow.f64 (/.f64 1 N) 1)
(/.f64 1 N)
(pow.f64 (/.f64 1 (sqrt.f64 N)) 2)
(pow.f64 (/.f64 1 (cbrt.f64 N)) 3)
(/.f64 1 N)
(pow.f64 (/.f64 1 (pow.f64 N 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 N 3)))
(cbrt.f64 (/.f64 (pow.f64 N -2) N))
(neg.f64 (/.f64 1 (neg.f64 N)))
(/.f64 1 N)
(neg.f64 (*.f64 (/.f64 1 (neg.f64 N)) 1))
(/.f64 1 N)
(neg.f64 (*.f64 1 (/.f64 1 (neg.f64 N))))
(/.f64 1 N)
(neg.f64 (/.f64 N (*.f64 N (neg.f64 N))))
(/.f64 1 N)
(neg.f64 (/.f64 (*.f64 N 2) (*.f64 N (*.f64 N -2))))
(/.f64 1 N)
(neg.f64 (/.f64 (*.f64 N (*.f64 N -2)) (*.f64 2 (pow.f64 N 3))))
(/.f64 1 N)
(sqrt.f64 (pow.f64 N -2))
(/.f64 1 N)
(log.f64 (exp.f64 (/.f64 1 N)))
(/.f64 1 N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 N))))
(/.f64 1 N)
(cbrt.f64 (/.f64 1 (pow.f64 N 3)))
(cbrt.f64 (/.f64 (pow.f64 N -2) N))
(cbrt.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 N 6) 4)) (pow.f64 (*.f64 2 (pow.f64 N 3)) 3)))
(cbrt.f64 (/.f64 2 (/.f64 (*.f64 8 (pow.f64 (pow.f64 N 3) 3)) (*.f64 4 (pow.f64 N 6)))))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 N 6) 8) (*.f64 8 (pow.f64 (pow.f64 N 3) 3))))
(cbrt.f64 (*.f64 1 (/.f64 1 (pow.f64 N 3))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 N 2) 3) (*.f64 2 (*.f64 (pow.f64 N 6) 4))))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 N 3) 8) (*.f64 2 (*.f64 4 (pow.f64 N 6)))))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 N 3) (*.f64 4 (pow.f64 N 6))) 4))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 N 3) (*.f64 2 (pow.f64 N 6))) 2))
(expm1.f64 (log1p.f64 (/.f64 1 N)))
(/.f64 1 N)
(exp.f64 (neg.f64 (log.f64 N)))
(/.f64 1 N)
(log1p.f64 (expm1.f64 (/.f64 1 N)))
(/.f64 1 N)

localize4.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

eval390.0ms (4.3%)

Compiler

Compiled 15064 to 11036 computations (26.7% saved)

prune162.0ms (1.8%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New6908698
Fresh022
Picked011
Done347
Total69315708
Error
0b
Counts
708 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
22.4b
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
52.2b
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 N (-.f64 1/2 (/.f64 1/3 N)))) (*.f64 N (*.f64 N (neg.f64 N))))
46.0b
(/.f64 (+.f64 N (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 N N))) (*.f64 N N))
✓30.5b
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
46.6b
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
✓52.4b
(/.f64 (*.f64 N (*.f64 N 2)) (*.f64 N (*.f64 N (*.f64 N 2))))
✓29.3b
(/.f64 1 N)
✓29.9b
(+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N))
46.0b
(*.f64 (neg.f64 N) (/.f64 1 (*.f64 N (neg.f64 N))))
30.7b
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
45.9b
(neg.f64 (/.f64 (*.f64 N 2) (*.f64 N (*.f64 N -2))))
45.9b
(neg.f64 (/.f64 N (*.f64 N (neg.f64 N))))
✓33.7b
(neg.f64 (log.f64 N))
0.0b
(log1p.f64 (/.f64 1 N))
61.0b
N
Compiler

Compiled 143 to 97 computations (32.2% saved)

regimes64.0ms (0.7%)

Counts
30 → 1
Calls
Call 1
Inputs
N
(/.f64 1 N)
(neg.f64 (/.f64 N (*.f64 N (neg.f64 N))))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(*.f64 (neg.f64 N) (/.f64 1 (*.f64 N (neg.f64 N))))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(neg.f64 (/.f64 (*.f64 N 2) (*.f64 N (*.f64 N -2))))
(+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N))
(/.f64 (*.f64 N (*.f64 N 2)) (*.f64 N (*.f64 N (*.f64 N 2))))
(/.f64 (+.f64 N (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 N N))) (*.f64 N N))
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N)))) (/.f64 1/2 (*.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))))
(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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 N (/.f64 (pow.f64 N 4) (+.f64 1/3 (*.f64 N N)))) (/.f64 1/2 (*.f64 N N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.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)))))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(/.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 1 (/.f64 1 (-.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 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (log.f64 N) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3/2)) (pow.f64 (log.f64 N) 3/2) (pow.f64 (log.f64 N) 3)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
Outputs
(log1p.f64 (/.f64 1 N))
Calls

2 calls:

29.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
13.0ms
N
Results
ErrorSegmentsBranch
0.0b1N
0.0b1(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 372 to 212 computations (43% saved)

regimes27.0ms (0.3%)

Counts
16 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(neg.f64 (/.f64 N (*.f64 N (neg.f64 N))))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(*.f64 (neg.f64 N) (/.f64 1 (*.f64 N (neg.f64 N))))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(neg.f64 (/.f64 (*.f64 N 2) (*.f64 N (*.f64 N -2))))
(+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N))
(/.f64 (*.f64 N (*.f64 N 2)) (*.f64 N (*.f64 N (*.f64 N 2))))
(/.f64 (+.f64 N (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 N N))) (*.f64 N N))
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N)))) (/.f64 1/2 (*.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))))
(neg.f64 (log.f64 N))
Outputs
(neg.f64 (log.f64 N))
(+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N))
Calls

1 calls:

23.0ms
N
Results
ErrorSegmentsBranch
1.0b2N
Compiler

Compiled 161 to 90 computations (44.1% saved)

bsearch26.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
26.0ms
0.22998916259754862
7.196644374883683
Results
24.0ms112×body256valid
Compiler

Compiled 152 to 114 computations (25% saved)

regimes13.0ms (0.1%)

Accuracy

Total -33.6b remaining (-114.4%)

Threshold costs -33.6b (-114.4%)

Counts
15 → 1
Calls
Call 1
Inputs
N
(/.f64 1 N)
(neg.f64 (/.f64 N (*.f64 N (neg.f64 N))))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(*.f64 (neg.f64 N) (/.f64 1 (*.f64 N (neg.f64 N))))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(neg.f64 (/.f64 (*.f64 N 2) (*.f64 N (*.f64 N -2))))
(+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N))
(/.f64 (*.f64 N (*.f64 N 2)) (*.f64 N (*.f64 N (*.f64 N 2))))
(/.f64 (+.f64 N (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 N N))) (*.f64 N N))
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N)))) (/.f64 1/2 (*.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))))
Outputs
(/.f64 1 N)
Calls

1 calls:

9.0ms
N
Results
ErrorSegmentsBranch
29.3b1N
Compiler

Compiled 158 to 88 computations (44.3% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×+-commutative
4×sub-neg
2×1-exp
2×neg-mul-1
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02274
13174
23474
33574
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 5224175567749775/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N)))
(/.f64 1 N)
N
Outputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 5224175567749775/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) (/.f64 1 N)))
(if (<=.f64 N 5224175567749775/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N))))
(/.f64 1 N)
N
Compiler

Compiled 32 to 23 computations (28.1% saved)

soundness176.0ms (1.9%)

Algorithm
2×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
1×node limit
1×node limit
Compiler

Compiled 134 to 111 computations (17.2% saved)

end27.0ms (0.3%)

Compiler

Compiled 29 to 20 computations (31% saved)

Profiling

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