Details

Time bar (total: 5.9s)

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)

sample1.8s (30.2%)

Results
687.0ms4940×body256valid
682.0ms2016×body1024valid
281.0ms1062×body512valid
118.0ms238×body2048valid
Bogosity

preprocess10.0ms (0.2%)

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)

simplify25.0ms (0.4%)

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

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
26.3b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶26.3b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.4b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (1%)

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)))))))

simplify62.0ms (1.1%)

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))

eval16.0ms (0.3%)

Compiler

Compiled 903 to 435 computations (51.8% saved)

prune16.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New61970
Fresh000
Picked011
Done000
Total611071
Error
0.1b
Counts
71 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.1b
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
26.3b
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
▶33.9b
(/.f64 1 N)
35.5b
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓26.3b
(-.f64 (log1p.f64 N) (log.f64 N))
28.0b
(-.f64 N (log.f64 N))
▶34.9b
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
35.4b
(+.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)))))
▶28.8b
(neg.f64 (log.f64 N))
▶26.3b
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 194 to 140 computations (27.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 N 1) N)
✓1.3b
(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
@-inf
(/.f64 (+.f64 N 1) N)
0.0ms
N
@0
(log.f64 (/.f64 (+.f64 N 1) N))
0.0ms
N
@inf
(log.f64 (/.f64 (+.f64 N 1) N))

rewrite58.0ms (1%)

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)))))))

simplify69.0ms (1.2%)

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))

localize2.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1/2 (*.f64 N N))
✓0.3b
(/.f64 1/3 (pow.f64 N 3))
✓13.8b
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
Compiler

Compiled 51 to 33 computations (35.3% saved)

series2.0ms (0%)

Counts
3 → 24
Calls

9 calls:

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

rewrite94.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1496×associate-/r*
1110×*-commutative
592×associate-/l*
454×distribute-lft-in
448×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01157
126153
2352653
Stop Event
1×node limit
Counts
3 → 212
Calls
Call 1
Inputs
(-.f64 (/.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))
Outputs
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simplify138.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
970×associate-/r*
882×times-frac
810×associate-*r*
780×fma-def
622×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056413044
1174211746
Stop Event
1×node limit
Counts
236 → 314
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 -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 1/3 (pow.f64 N -3)) (+.f64 (/.f64 -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 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (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 -1/2 (*.f64 N N))) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -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 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -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 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -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 (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 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -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 (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 -1/2 (*.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 (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 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -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 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -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 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -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 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 1/9 (pow.f64 N 6)) 3) (pow.f64 (/.f64 1/4 (pow.f64 N 4)) 3)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (*.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/9 (pow.f64 N 6))) (+.f64 (*.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/4 (pow.f64 N 4))) (*.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/9 (pow.f64 N 6)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 N 6)) 3)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) (+.f64 (*.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (+.f64 (*.f64 (/.f64 1/8 (pow.f64 N 6)) (/.f64 1/8 (pow.f64 N 6))) (*.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6)))))))
(/.f64 (-.f64 (*.f64 1/3 (*.f64 (*.f64 N N) 2)) (pow.f64 N 3)) (*.f64 (pow.f64 N 3) (*.f64 (*.f64 N N) 2)))
(/.f64 (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) (/.f64 1/2 N))) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 1/3 (neg.f64 (*.f64 N N))) (*.f64 (pow.f64 N 3) -1/2)) (*.f64 (pow.f64 N 3) (neg.f64 (*.f64 N N))))
(/.f64 (-.f64 (*.f64 N N) (*.f64 1/2 (*.f64 3 (pow.f64 N 3)))) (*.f64 (*.f64 N N) (*.f64 3 (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 (*.f64 N N) 2) (*.f64 3 (pow.f64 N 3))) (*.f64 (*.f64 (*.f64 N N) 2) (*.f64 3 (pow.f64 N 3))))
(/.f64 (-.f64 N (*.f64 (/.f64 1/2 N) (*.f64 3 (pow.f64 N 3)))) (*.f64 N (*.f64 3 (pow.f64 N 3))))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) (*.f64 (*.f64 3 (pow.f64 N 3)) -1/2)) (*.f64 (*.f64 3 (pow.f64 N 3)) (neg.f64 (*.f64 N N))))
(/.f64 (-.f64 (*.f64 (*.f64 N N) -1/3) (*.f64 1/2 (neg.f64 (pow.f64 N 3)))) (*.f64 (*.f64 N N) (neg.f64 (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) 2) -1/3) (neg.f64 (pow.f64 N 3))) (*.f64 (*.f64 (*.f64 N N) 2) (neg.f64 (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 N -1/3) (*.f64 (/.f64 1/2 N) (neg.f64 (pow.f64 N 3)))) (*.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) -1/3) (*.f64 -1/2 (neg.f64 (pow.f64 N 3)))) (*.f64 (neg.f64 (*.f64 N N)) (neg.f64 (pow.f64 N 3))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (neg.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6)))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2))) (neg.f64 (pow.f64 N 5)))
(/.f64 (/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) 1) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) 1) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))))) (sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))) (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))))) (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) N) (pow.f64 N 4))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (*.f64 N N)) (pow.f64 N 3))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) 1) (pow.f64 N 5))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (pow.f64 N 3/2)) (*.f64 (*.f64 N N) (pow.f64 N 3/2)))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (pow.f64 N 4)) N)
(/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (sqrt.f64 (pow.f64 N 5))) (sqrt.f64 (pow.f64 N 5)))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (*.f64 (cbrt.f64 (pow.f64 N 5)) (cbrt.f64 (pow.f64 N 5)))) (cbrt.f64 (pow.f64 N 5)))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (*.f64 (pow.f64 N 3) (cbrt.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (*.f64 N (pow.f64 N 3/2))) (*.f64 N (pow.f64 N 3/2)))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (pow.f64 N 3)) N) N)
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (pow.f64 N 3)) (pow.f64 N 3/2)) (sqrt.f64 N))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (pow.f64 N 3)) (sqrt.f64 N)) (pow.f64 N 3/2))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (pow.f64 N 3)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (pow.f64 N 3)) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (pow.f64 N 3)) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (pow.f64 N 3)) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 (*.f64 (*.f64 N N) 2)) (pow.f64 N 3)) (pow.f64 N 3)) (*.f64 (*.f64 N N) 2))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) (/.f64 1/2 N))) N) (pow.f64 N 3))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) (/.f64 1/2 N))) (pow.f64 N 3)) N)
(/.f64 (/.f64 (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) (/.f64 1/2 N))) (*.f64 N N)) (*.f64 N N))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) (/.f64 1/2 N))) 1) (pow.f64 N 4))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (*.f64 (*.f64 N N) (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) (/.f64 1/2 N))) (*.f64 (cbrt.f64 (pow.f64 N 4)) (cbrt.f64 (pow.f64 N 4)))) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) (/.f64 1/2 N))) (*.f64 (*.f64 N N) (cbrt.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 (neg.f64 (*.f64 N N))) (*.f64 (pow.f64 N 3) -1/2)) (pow.f64 N 3)) (neg.f64 (*.f64 N N)))
(/.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 1/2 (*.f64 3 (pow.f64 N 3)))) (*.f64 3 (pow.f64 N 3))) (*.f64 N N))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) 2) (*.f64 3 (pow.f64 N 3))) (*.f64 3 (pow.f64 N 3))) (*.f64 (*.f64 N N) 2))
(/.f64 (/.f64 (-.f64 N (*.f64 (/.f64 1/2 N) (*.f64 3 (pow.f64 N 3)))) (*.f64 3 (pow.f64 N 3))) N)
(/.f64 (/.f64 (-.f64 (neg.f64 (*.f64 N N)) (*.f64 (*.f64 3 (pow.f64 N 3)) -1/2)) (*.f64 3 (pow.f64 N 3))) (neg.f64 (*.f64 N N)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) -1/3) (*.f64 1/2 (neg.f64 (pow.f64 N 3)))) (neg.f64 (pow.f64 N 3))) (*.f64 N N))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) 2) -1/3) (neg.f64 (pow.f64 N 3))) (neg.f64 (pow.f64 N 3))) (*.f64 (*.f64 N N) 2))
(/.f64 (/.f64 (-.f64 (*.f64 N -1/3) (*.f64 (/.f64 1/2 N) (neg.f64 (pow.f64 N 3)))) (neg.f64 (pow.f64 N 3))) N)
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) -1/3) (*.f64 -1/2 (neg.f64 (pow.f64 N 3)))) (neg.f64 (pow.f64 N 3))) (neg.f64 (*.f64 N N)))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))))
(log1p.f64 (expm1.f64 (fma.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)))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (/.f64 -1/2 (*.f64 N N)))
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 -1/2 (*.f64 N N)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 1 (*.f64 1/3 (pow.f64 N -3)))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(*.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(*.f64 (pow.f64 N -2) (/.f64 1/3 N))
(*.f64 (pow.f64 N -3) 1/3)
(*.f64 -1/3 (/.f64 -1 (pow.f64 N 3)))
(*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N)))
(*.f64 (/.f64 1 (pow.f64 N 3/2)) (/.f64 1/3 (pow.f64 N 3/2)))
(*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3)
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (*.f64 3 (pow.f64 N 3)) -1)
(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))))
(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 1/2 (pow.f64 N -2))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.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 (/.f64 1/2 N) (/.f64 1 N))
(*.f64 (pow.f64 N -2) 1/2)
(*.f64 -1/2 (/.f64 -1 (*.f64 N N)))
(*.f64 (/.f64 1 N) (/.f64 1/2 N))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 -1 (*.f64 N N)) -1/2)
(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 (*.f64 N N) 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))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(log1p.f64 (expm1.f64 (fma.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)))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))
(fma.f64 1 (*.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)))
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 -1/2 (*.f64 N N)) (pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (/.f64 -1/2 (*.f64 N N)))
(-.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 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1 (*.f64 1/3 (pow.f64 N -3)))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(*.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 (pow.f64 N -2) (/.f64 1/3 N))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 (pow.f64 N -3) 1/3)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 -1/3 (/.f64 -1 (pow.f64 N 3)))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N)))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 (/.f64 1 (pow.f64 N 3/2)) (/.f64 1/3 (pow.f64 N 3/2)))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 (/.f64 -1 (pow.f64 N 3)) -1/3)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 1/3 (pow.f64 N -3))
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (*.f64 3 (pow.f64 N 3)) -1)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) 1/3)
(cbrt.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.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))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(*.f64 1/3 (pow.f64 N -3))
(-.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 (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 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(*.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 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (pow.f64 N -2) 1/2)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 -1/2 (/.f64 -1 (*.f64 N N)))
(/.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 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(*.f64 (/.f64 -1 (*.f64 N N)) -1/2)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (*.f64 (*.f64 N N) 2) -1)
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(sqrt.f64 (/.f64 1/4 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 1/2 (*.f64 N N))
(*.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))))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.4b
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
✓1.0b
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
1.4b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 29 to 12 computations (58.6% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
N
@0
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
1.0ms
N
@-inf
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
0.0ms
N
@0
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
0.0ms
N
@inf
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
0.0ms
N
@inf
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)

rewrite117.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
788×*-commutative
788×unswap-sqr
618×associate-*r/
498×distribute-lft-in
484×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
124436
2264136
Stop Event
1×node limit
Counts
2 → 265
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
Outputs
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simplify154.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1162×associate-*r*
1144×associate-/l*
1138×associate-*l*
726×*-commutative
670×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077022235
1230421115
Stop Event
1×node limit
Counts
289 → 475
Calls
Call 1
Inputs
(*.f64 (log.f64 N) (cbrt.f64 -1))
(+.f64 (*.f64 (log.f64 N) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.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 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 3))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 2)) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 2)) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 2))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.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 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3)) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(/.f64 (*.f64 1 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3)) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 3))
(/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))))
(/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (+.f64 (neg.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 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (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 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (sqrt.f64 (-.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 (log1p.f64 N) (log.f64 N))))))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3) 1) (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3) (-.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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3) (+.f64 (neg.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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3) (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 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.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 (log1p.f64 N) (log.f64 N)))))
(/.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) 1) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(/.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) 1) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 3))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 (log.f64 N) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 2) (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(/.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 2) (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 2))
(/.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.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 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.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 (log1p.f64 N) (log.f64 N)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.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 (log1p.f64 N) (log.f64 N)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.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 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (-.f64 (*.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N))))) (-.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))
Outputs
(*.f64 (log.f64 N) (cbrt.f64 -1))
(+.f64 (*.f64 (log.f64 N) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2))) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))) (*.f64 (*.f64 1/3 N) (*.f64 (pow.f64 (log.f64 N) 2) 3))))
(+.f64 (*.f64 (log.f64 N) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 N 2) (-.f64 (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 N) 2)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1))) (*.f64 -2 (log.f64 N)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 N) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2))) 2))))) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (*.f64 1/3 (+.f64 (*.f64 (*.f64 N (*.f64 3 (pow.f64 (log.f64 N) 2))) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (/.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (*.f64 (log.f64 N) -2))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 N) (cbrt.f64 -1)))) (pow.f64 (*.f64 3 (pow.f64 (log.f64 N) 2)) 2)))) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 (log.f64 N) (cbrt.f64 -1) (*.f64 1/3 (+.f64 (*.f64 N (*.f64 (*.f64 (pow.f64 (log.f64 N) 2) 3) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (log.f64 N) 2))))) (*.f64 (/.f64 (*.f64 N N) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 N) 2) (fma.f64 -1 (*.f64 (log.f64 N) (+.f64 (log.f64 N) 1)) (*.f64 (log.f64 N) -2))) (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 -1)) (log.f64 N))) (pow.f64 (*.f64 (pow.f64 (log.f64 N) 2) 3) 2)) -1/3))))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (*.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))) (-.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (/.f64 (-.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (-.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N)) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N)) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 3))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N)) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N)) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
(exp.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 3) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log.f64 N)) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)

eval533.0ms (9%)

Compiler

Compiled 26271 to 15082 computations (42.6% saved)

prune197.0ms (3.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New9642966
Fresh224
Picked101
Done325
Total9706976
Error
0b
Counts
976 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓33.9b
(/.f64 1 N)
▶35.5b
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
▶28.0b
(-.f64 N (log.f64 N))
▶34.9b
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))))
✓28.8b
(neg.f64 (log.f64 N))
▶0b
(log1p.f64 (+.f64 (/.f64 1 N) 0))
Compiler

Compiled 50 to 35 computations (30% saved)

localize49.0ms (0.8%)

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N)))
0.2b
(/.f64 1/2 (*.f64 N N))
✓0.3b
(/.f64 1/3 (*.f64 N N))
✓13.8b
(-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N)))
Compiler

Compiled 64 to 35 computations (45.3% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite126.0ms (2.1%)

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

Useful iterations: 1 (0.0ms)

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

simplify110.0ms (1.9%)

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

Useful iterations: 1 (0.0ms)

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

localize6.0ms (0.1%)

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
5.0ms
N
@0
(-.f64 N (log.f64 N))
1.0ms
N
@-inf
(-.f64 N (log.f64 N))
1.0ms
N
@inf
(-.f64 N (log.f64 N))

rewrite142.0ms (2.4%)

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)))))))

simplify214.0ms (3.6%)

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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
0.2b
(/.f64 1/2 (*.f64 N N))
Compiler

Compiled 24 to 13 computations (45.8% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite107.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1218×associate-/r*
884×*-commutative
748×unswap-sqr
518×associate-/l*
496×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
120419
2285619
Stop Event
1×node limit
Counts
1 → 179
Calls
Call 1
Inputs
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
Outputs
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(/.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 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(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 fma.f64 1 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 (pow.f64 N -2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (pow.f64 N -2) -1/2))))))

simplify398.0ms (6.7%)

Algorithm
1×egg-herbie
Rules
880×associate-+r+
838×associate-+l+
806×+-commutative
610×associate-*r*
586×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049910087
114418851
262098441
Stop Event
1×node limit
Counts
191 → 293
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 N) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (/.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 (/.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 (/.f64 1 N) (+.f64 (*.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 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 (/.f64 -1/2 N)) N) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 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 (/.f64 -1/2 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 (/.f64 -1/2 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 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 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)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 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 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -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 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -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 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
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(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (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 (/.f64 -1/2 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 (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 (/.f64 -1/2 N)) N) (*.f64 1 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1 (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 (/.f64 -1/2 N)) N) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) 1))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 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))) 1))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (/.f64 1 N))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (/.f64 1 N) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (/.f64 1 N) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (/.f64 1 N) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (/.f64 1 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 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
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(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 (/.f64 (*.f64 N (neg.f64 (-.f64 N 1/2))) N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 N N) -2) N) (neg.f64 N)) (*.f64 N (/.f64 N 1/2)))
(/.f64 (/.f64 (*.f64 N (neg.f64 (-.f64 N 1/2))) (neg.f64 N)) (*.f64 N N))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) 1) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) N) (neg.f64 N))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (neg.f64 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) -1) (*.f64 N N))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (neg.f64 N)) N)
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (sqrt.f64 (*.f64 N (neg.f64 N)))) (sqrt.f64 (*.f64 N (neg.f64 N))))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (*.f64 (cbrt.f64 (*.f64 N (neg.f64 N))) (cbrt.f64 (*.f64 N (neg.f64 N))))) (cbrt.f64 (*.f64 N (neg.f64 N))))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (neg.f64 (cbrt.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (neg.f64 N)) (*.f64 N (neg.f64 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 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 N -3) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (pow.f64 N -2))))))
(neg.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (neg.f64 (pow.f64 N 3))))
(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 (pow.f64 N -2) -1/2))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (pow.f64 N -2) -1/2))
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 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) 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 (+.f64 -1/2 N) 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 (+.f64 -1/2 N) 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 -1/2 N) 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 (+.f64 -1/2 N) 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 (+.f64 -1/2 N) 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 -1/2 N) 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 (+.f64 -1/2 N) 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 (+.f64 -1/2 N) N) N)
(+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(+.f64 (/.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 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 -1/2 (pow.f64 N -2) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))))
(+.f64 (neg.f64 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N)))
(+.f64 (/.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 (/.f64 1 N) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 -1/2 (pow.f64 N -2) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))))
(+.f64 (neg.f64 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N)))
(+.f64 (/.f64 1 N) (+.f64 (*.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 (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) 0)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N)))
(+.f64 (/.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 (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 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))))
(fma.f64 -1/2 (pow.f64 N -2) (+.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))))
(+.f64 (+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) 0)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (*.f64 (pow.f64 N -2) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (*.f64 (pow.f64 N -2) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (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 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 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 (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 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 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 (/.f64 -1/2 N)) N) (*.f64 2 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 2 (*.f64 (pow.f64 N -2) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 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 (/.f64 -1/2 N)) N) (*.f64 2 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 2 (*.f64 (pow.f64 N -2) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -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 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 -1/2 (pow.f64 N -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 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (*.f64 (pow.f64 N -2) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 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)))))
(+.f64 (+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 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 (/.f64 -1/2 N)) N) (+.f64 (fma.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 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (*.f64 (pow.f64 N -2) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 2 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 2 (*.f64 (pow.f64 N -2) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 2 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(fma.f64 2 (*.f64 1/2 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 2 (*.f64 (pow.f64 N -2) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -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 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 -1/2 (pow.f64 N -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 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (*.f64 (pow.f64 N -2) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 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 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 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 (/.f64 -1/2 N)) N) (+.f64 (fma.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 1/2 (pow.f64 N -2))))
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(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (+.f64 -1/2 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (sqrt.f64 (pow.f64 N 3))) (sqrt.f64 (pow.f64 N 3)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 N (sqrt.f64 N))) (*.f64 N (sqrt.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 (*.f64 N N) (sqrt.f64 N))) (sqrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 (*.f64 N N) (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (*.f64 N (cbrt.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (+.f64 -1/2 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) N) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (sqrt.f64 N)) (*.f64 N (sqrt.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (+.f64 -1/2 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (+.f64 -1/2 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (*.f64 N (sqrt.f64 N))) (sqrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) 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)) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 (cbrt.f64 (pow.f64 N 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 N 4)))))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 (cbrt.f64 (pow.f64 N 4)))) (fabs.f64 (cbrt.f64 N)))
(/.f64 (/.f64 (-.f64 (*.f64 N (/.f64 N 1/2)) N) N) (*.f64 N (/.f64 N 1/2)))
(/.f64 (-.f64 (*.f64 N (/.f64 N 1/2)) N) (*.f64 (*.f64 N N) (/.f64 N 1/2)))
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 N 1/2) -1) N) N) 1/2)
(*.f64 (/.f64 (/.f64 (+.f64 -1 (/.f64 N 1/2)) N) N) 1/2)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) 1) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) N) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (sqrt.f64 N)) (*.f64 N (sqrt.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (+.f64 -1/2 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (+.f64 -1/2 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N (sqrt.f64 N))) (sqrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (/.f64 (*.f64 N (neg.f64 (-.f64 N 1/2))) N) (*.f64 N (neg.f64 N)))
(/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 N -1/2))))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 N N) -2) N) (neg.f64 N)) (*.f64 N (/.f64 N 1/2)))
(/.f64 (fma.f64 (*.f64 N N) -2 N) (*.f64 N (neg.f64 (*.f64 N (/.f64 N 1/2)))))
(/.f64 (fma.f64 N (*.f64 N -2) N) (/.f64 (neg.f64 (pow.f64 N 3)) 1/2))
(/.f64 (/.f64 (*.f64 N (neg.f64 (-.f64 N 1/2))) (neg.f64 N)) (*.f64 N N))
(/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 N -1/2))))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) 1) (*.f64 N (neg.f64 N)))
(/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 N -1/2))))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) N) (neg.f64 N))
(/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 N -1/2))))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (neg.f64 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (+.f64 (*.f64 N (/.f64 1/2 N)) (neg.f64 N)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (-.f64 1/2 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (neg.f64 (cbrt.f64 (pow.f64 N 4)))))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) -1) (*.f64 N N))
(/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 N -1/2))))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (neg.f64 N)) N)
(/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 N -1/2))))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (sqrt.f64 (*.f64 N (neg.f64 N)))) (sqrt.f64 (*.f64 N (neg.f64 N))))
(/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 N -1/2))))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (*.f64 (cbrt.f64 (*.f64 N (neg.f64 N))) (cbrt.f64 (*.f64 N (neg.f64 N))))) (cbrt.f64 (*.f64 N (neg.f64 N))))
(/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 N -1/2))))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (neg.f64 (cbrt.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (+.f64 (*.f64 N (/.f64 1/2 N)) (neg.f64 N)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (-.f64 1/2 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (neg.f64 (cbrt.f64 (pow.f64 N 4)))))
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (neg.f64 N)) (*.f64 N (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(neg.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4)))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4)))) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 -1 N)))
(/.f64 (-.f64 (neg.f64 (pow.f64 N -2)) (/.f64 -1/4 (pow.f64 N 4))) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 -1 N)))
(neg.f64 (/.f64 (+.f64 (pow.f64 N -3) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (pow.f64 N -2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3)))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (pow.f64 N -2) (/.f64 1/2 (pow.f64 N 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 N -2) 3) 1/8) (pow.f64 N -3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (+.f64 (pow.f64 N -2) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 N -2) 3) 1/8) (pow.f64 N -3)) (+.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (pow.f64 N -2))))
(neg.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (neg.f64 (pow.f64 N 3))))
(/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (+.f64 N -1/2))))
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 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 (/.f64 -1/2 N)) N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 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 (/.f64 -1/2 N)) N)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(exp.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 1 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))

eval366.0ms (6.2%)

Compiler

Compiled 20035 to 14656 computations (26.8% saved)

prune150.0ms (2.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New7884792
Fresh000
Picked011
Done145
Total7899798
Error
0b
Counts
798 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶35.5b
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
▶50.4b
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
✓33.9b
(/.f64 1 N)
✓35.5b
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓28.0b
(-.f64 N (log.f64 N))
▶34.9b
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
✓28.8b
(neg.f64 (log.f64 N))
✓0b
(log1p.f64 (+.f64 (/.f64 1 N) 0))
61.1b
N
Compiler

Compiled 63 to 44 computations (30.2% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.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)

series1.0ms (0%)

Counts
2 → 12
Calls

6 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 1/3 N)

rewrite68.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1454×associate-/l*
950×*-commutative
652×unswap-sqr
580×associate-/l/
560×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
121232
2299132
Stop Event
1×node limit
Counts
2 → 96
Calls
Call 1
Inputs
(/.f64 1/3 N)
(/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))
Outputs
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simplify66.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1480×associate-/l*
1186×unswap-sqr
1042×distribute-lft-in
976×distribute-rgt-in
900×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02493686
16863436
225123088
Stop Event
1×node limit
Counts
108 → 134
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 (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 (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 (/.f64 1 N) 1/3)
(*.f64 -1/3 (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 1/3 (sqrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1/3 (cbrt.f64 N)))
(*.f64 (/.f64 1 (neg.f64 N)) -1/3)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 N))) (cbrt.f64 (/.f64 1/3 N))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 N))) (cbrt.f64 (/.f64 1/3 N))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/3 N))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/3 N))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1/3 N)) (sqrt.f64 (cbrt.f64 (/.f64 1/3 N)))) (*.f64 (cbrt.f64 (/.f64 1/3 N)) (sqrt.f64 (cbrt.f64 (/.f64 1/3 N)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/3 N)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/3 N)))))
(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 (*.f64 N N)))
(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)))
(log1p.f64 (expm1.f64 (/.f64 1/3 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (*.f64 -1/2 (pow.f64 N -2)) 1))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.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 (pow.f64 N -2)))
(-.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 (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 (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) (cbrt.f64 (pow.f64 N 4))))
(*.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 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))
(*.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2))
(*.f64 (+.f64 1/2 (/.f64 -1/3 N)) (/.f64 1 (neg.f64 (*.f64 N N))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2)) (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2))
(*.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) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 (pow.f64 N 4))))
(*.f64 (/.f64 1 (neg.f64 (*.f64 N 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)) (*.f64 N N)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 1))
(*.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 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (cbrt.f64 (pow.f64 N 4))))
(*.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 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 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 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N N)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) 1))
(*.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 N (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) N))) (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/9 (*.f64 N N)) -1/4) (pow.f64 N -2)) (+.f64 (/.f64 1/9 (*.f64 N N)) -1/4)) (+.f64 (/.f64 1/3 N) -1/2))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/9 (*.f64 N N)) -1/4) (pow.f64 N -2)) (+.f64 1/8 (/.f64 1/27 (pow.f64 N 3)))) (+.f64 (/.f64 1/9 (*.f64 N N)) (-.f64 1/4 (/.f64 1/6 N))))
(*.f64 (/.f64 (*.f64 (pow.f64 N -2) (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)) (-.f64 (*.f64 (/.f64 1/3 N) (/.f64 1/27 (pow.f64 N 3))) (*.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 1/4 (/.f64 1/6 N))))) (-.f64 (+.f64 (/.f64 1/9 (*.f64 N N)) -1/4) (/.f64 1/6 N)))
(*.f64 (/.f64 (*.f64 (pow.f64 N -2) (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)) (+.f64 (pow.f64 (/.f64 1/9 (*.f64 N N)) 3) (pow.f64 (+.f64 1/4 (/.f64 1/6 N)) 3))) (+.f64 (*.f64 (/.f64 1/3 N) (/.f64 1/27 (pow.f64 N 3))) (*.f64 (+.f64 1/4 (/.f64 1/6 N)) (-.f64 (+.f64 1/4 (/.f64 1/6 N)) (/.f64 1/9 (*.f64 N N))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) (sqrt.f64 (cbrt.f64 (*.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))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (sqrt.f64 (/.f64 1 N))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (sqrt.f64 (/.f64 1 N))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (sqrt.f64 N)) (sqrt.f64 (/.f64 1 N))) (*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (sqrt.f64 N)) (sqrt.f64 (/.f64 1 N))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 N)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (sqrt.f64 N))) (*.f64 (sqrt.f64 (/.f64 1 N)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (sqrt.f64 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 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (neg.f64 (*.f64 N N))))
(neg.f64 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) (*.f64 N N)))
(neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (neg.f64 (*.f64 N N))) 1))
(neg.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 (neg.f64 (*.f64 N N)))))
(neg.f64 (*.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (neg.f64 (*.f64 N N)))))
(neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) 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))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 3) (pow.f64 (*.f64 N N) 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))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))
Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -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 (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 (/.f64 1 N) 1/3)
(/.f64 1/3 N)
(*.f64 -1/3 (/.f64 1 (neg.f64 N)))
(/.f64 1/3 N)
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 1/3 (sqrt.f64 N)))
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 1/3 (*.f64 (sqrt.f64 N) (sqrt.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 1/3 (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N)))
(*.f64 (/.f64 1 (neg.f64 N)) -1/3)
(/.f64 1/3 N)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 N))) (cbrt.f64 (/.f64 1/3 N))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 N))) (cbrt.f64 (/.f64 1/3 N))))
(/.f64 1/3 N)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/3 N))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/3 N))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/3 N))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (cbrt.f64 (sqrt.f64 (/.f64 1/3 N)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/3 N))) (cbrt.f64 (sqrt.f64 (/.f64 1/3 N)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1/3 N)) (sqrt.f64 (cbrt.f64 (/.f64 1/3 N)))) (*.f64 (cbrt.f64 (/.f64 1/3 N)) (sqrt.f64 (cbrt.f64 (/.f64 1/3 N)))))
(/.f64 1/3 N)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/3 N)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 1/3 N)))))
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(*.f64 (/.f64 (*.f64 (pow.f64 N -2) (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)) (+.f64 (/.f64 (/.f64 1/81 N) (pow.f64 N 3)) (*.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 -1/4 (/.f64 -1/6 N))))) (+.f64 (/.f64 1/9 (*.f64 N N)) (+.f64 -1/4 (/.f64 -1/6 N))))
(*.f64 (*.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (/.f64 (pow.f64 N -2) (+.f64 (/.f64 1/81 (pow.f64 N 4)) (*.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 -1/4 (/.f64 -1/6 N)))))) (+.f64 (/.f64 1/9 (*.f64 N N)) (+.f64 -1/4 (/.f64 -1/6 N))))
(*.f64 (/.f64 (*.f64 (pow.f64 N -2) (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)) (+.f64 (pow.f64 (/.f64 1/9 (*.f64 N N)) 3) (pow.f64 (+.f64 1/4 (/.f64 1/6 N)) 3))) (+.f64 (*.f64 (/.f64 1/3 N) (/.f64 1/27 (pow.f64 N 3))) (*.f64 (+.f64 1/4 (/.f64 1/6 N)) (-.f64 (+.f64 1/4 (/.f64 1/6 N)) (/.f64 1/9 (*.f64 N N))))))
(*.f64 (/.f64 (pow.f64 N -2) (/.f64 (+.f64 (/.f64 1/729 (pow.f64 (*.f64 N N) 3)) (pow.f64 (+.f64 1/4 (/.f64 1/6 N)) 3)) (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8))) (fma.f64 (/.f64 1/3 N) (/.f64 1/27 (pow.f64 N 3)) (*.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 1/4 (-.f64 (/.f64 1/6 N) (/.f64 1/9 (*.f64 N N)))))))
(*.f64 (*.f64 (/.f64 (pow.f64 N -2) (+.f64 (/.f64 1/729 (pow.f64 N 6)) (pow.f64 (+.f64 1/4 (/.f64 1/6 N)) 3))) (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)) (fma.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 1/4 (-.f64 (/.f64 1/6 N) (/.f64 1/9 (*.f64 N N)))) (/.f64 (/.f64 1/81 N) (pow.f64 N 3))))
(*.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (+.f64 (/.f64 1/729 (pow.f64 N 6)) (pow.f64 (+.f64 1/4 (/.f64 1/6 N)) 3))) (pow.f64 N -2)) (fma.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 (+.f64 1/4 (/.f64 1/6 N)) (/.f64 -1/9 (*.f64 N N))) (/.f64 1/81 (pow.f64 N 4))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))) 2) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))) 2) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) (sqrt.f64 (cbrt.f64 (*.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))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N))) 2) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))) 2) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (sqrt.f64 (/.f64 1 N))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (sqrt.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 -1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (sqrt.f64 N)) (sqrt.f64 (/.f64 1 N))) (*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (sqrt.f64 N)) (sqrt.f64 (/.f64 1 N))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (sqrt.f64 N)) (*.f64 (sqrt.f64 (/.f64 1 N)) (*.f64 (sqrt.f64 (/.f64 1 N)) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (sqrt.f64 N)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (sqrt.f64 N)) (*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (sqrt.f64 N)) (/.f64 1 N)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (*.f64 (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (/.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 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 N)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (sqrt.f64 N))) (*.f64 (sqrt.f64 (/.f64 1 N)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (sqrt.f64 N))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (sqrt.f64 N)) (*.f64 (sqrt.f64 (/.f64 1 N)) (*.f64 (sqrt.f64 (/.f64 1 N)) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (sqrt.f64 N)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (sqrt.f64 N)) (*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (sqrt.f64 N)) (/.f64 1 N)))
(pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 1)
(-.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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 3)
(-.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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) 1/3)
(-.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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(pow.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) -1)
(-.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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(neg.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (neg.f64 (*.f64 N N))))
(-.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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(neg.f64 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) (*.f64 N N)))
(-.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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (neg.f64 (*.f64 N N))) 1))
(-.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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(neg.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 (neg.f64 (*.f64 N N)))))
(-.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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(neg.f64 (*.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (neg.f64 (*.f64 N N)))))
(-.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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (neg.f64 N)))
(-.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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/3 N) -1/2)) (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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))
(-.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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 3) (pow.f64 (*.f64 N N) 3)))
(-.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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (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 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))
(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 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓15.0b
(/.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)))

rewrite67.0ms (1.1%)

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))))))))

simplify59.0ms (1%)

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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 11 computations (38.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite62.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1940×add-sqr-sqrt
1918×*-un-lft-identity
1808×add-cube-cbrt
1788×add-cbrt-cube
162×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0732
116232
2233932
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (+.f64 -1/2 N) N)
Outputs
((#(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 (/.f64 1 N) (/.f64 1 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 (+.f64 -1/2 N) N) (/.f64 1 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 (+.f64 -1/2 N) N)) (*.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) (/.f64 1 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 (+.f64 -1/2 N) N)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) (/.f64 1 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 1 N) (/.f64 (+.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (+.f64 -1/2 N) N)) (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1/2 N) 1) (/.f64 (/.f64 1 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)) (/.f64 (/.f64 1 N) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (/.f64 1 N) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (/.f64 (+.f64 -1/2 N) N) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (/.f64 (+.f64 -1/2 N) N) (cbrt.f64 N)))))) (#(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 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) (pow.f64 (cbrt.f64 N) 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 N (/.f64 (+.f64 -1/2 N) N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) (neg.f64 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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/2 N) N))) 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) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) (sqrt.f64 (/.f64 (+.f64 -1/2 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 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) (cbrt.f64 (/.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 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (+.f64 -1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 N) 1/2) (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.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 -1/2 N) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 N)) 1) (/.f64 (sqrt.f64 (+.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 -1/2 N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 N)) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 -1/2 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1/2 N) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -1/2 N) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (+.f64 -1/2 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1/2 N) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 N) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 -1/2 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/2 N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 N) N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/2 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -1/2 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/2 N) N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/2 N) N)))))))

simplify52.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1390×times-frac
1068×unswap-sqr
1020×associate-/r*
968×distribute-lft-in
940×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01672036
14341964
221861730
Stop Event
1×node limit
Counts
94 → 98
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 -1/2 N) (*.f64 N N)))) 1)
(*.f64 (+.f64 -1/2 N) (*.f64 (/.f64 1 N) (/.f64 1 N)))
(*.f64 (+.f64 -1/2 N) (/.f64 1 (*.f64 N N)))
(*.f64 (/.f64 (+.f64 -1/2 N) N) (/.f64 1 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 (+.f64 -1/2 N) N)) (*.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) (/.f64 1 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 N)) N) (/.f64 (sqrt.f64 (+.f64 -1/2 N)) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) (/.f64 1 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 1 N) (/.f64 (+.f64 -1/2 N) N))
(*.f64 (neg.f64 (/.f64 (+.f64 -1/2 N) N)) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 (+.f64 -1/2 N) 1) (/.f64 (/.f64 1 N) N))
(*.f64 (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)) (/.f64 (/.f64 1 N) (sqrt.f64 N)))
(*.f64 (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (/.f64 1 N) (cbrt.f64 N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (/.f64 (+.f64 -1/2 N) N) (sqrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (/.f64 (+.f64 -1/2 N) 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 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) N))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) (pow.f64 (cbrt.f64 N) 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 N (/.f64 (+.f64 -1/2 N) N)) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) (neg.f64 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))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/2 N) N))) 1)
(*.f64 (+.f64 -1/2 N) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 -1/2 N) N) 1)
(*.f64 1 (/.f64 (+.f64 -1/2 N) N))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)))
(*.f64 (sqrt.f64 (+.f64 -1/2 N)) (*.f64 (sqrt.f64 (+.f64 -1/2 N)) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) (cbrt.f64 (/.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 N)))
(*.f64 (/.f64 1 N) (+.f64 -1/2 N))
(*.f64 (+.f64 (neg.f64 N) 1/2) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 -1/2 N) (cbrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 N)) 1) (/.f64 (sqrt.f64 (+.f64 -1/2 N)) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 -1/2 N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 N)) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/2 N)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 -1/2 N)) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)))
(pow.f64 (/.f64 (+.f64 -1/2 N) N) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/2 N) N) 3) 1/3)
(pow.f64 (/.f64 N (+.f64 -1/2 N)) -1)
(neg.f64 (/.f64 (+.f64 -1/2 N) (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 N) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1/2 N) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/2 N) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 N) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/2 N) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 -1/2 N) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/2 N) N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/2 N) 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 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 1/2 (*.f64 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 1/2 (*.f64 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 1/2 (*.f64 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 1/2 (*.f64 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 1/2 (*.f64 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 1/2 (*.f64 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 1/2 (*.f64 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 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 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 -1/2 N) (*.f64 N N)))) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(*.f64 (+.f64 -1/2 N) (*.f64 (/.f64 1 N) (/.f64 1 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(*.f64 (+.f64 -1/2 N) (/.f64 1 (*.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 -1/2 N) (*.f64 N N))
(*.f64 (/.f64 (+.f64 -1/2 N) N) (/.f64 1 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(*.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N N)) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(*.f64 1 (/.f64 (+.f64 -1/2 N) (*.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 -1/2 N) (*.f64 N N))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) (*.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) (/.f64 1 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 N)) N) (/.f64 (sqrt.f64 (+.f64 -1/2 N)) N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) (/.f64 1 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.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 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.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 1 N) (/.f64 1/2 (*.f64 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 (+.f64 -1/2 N) N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(*.f64 (neg.f64 (/.f64 (+.f64 -1/2 N) N)) (/.f64 1 (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(*.f64 (/.f64 (+.f64 -1/2 N) 1) (/.f64 (/.f64 1 N) N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(*.f64 (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)) (/.f64 (/.f64 1 N) (sqrt.f64 N)))
(/.f64 (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)) (*.f64 N (sqrt.f64 N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))
(*.f64 (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (/.f64 1 N) (cbrt.f64 N)))
(*.f64 (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (*.f64 (cbrt.f64 N) N)))
(/.f64 (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(/.f64 (+.f64 -1/2 N) (*.f64 (*.f64 N (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (/.f64 (+.f64 -1/2 N) N) (sqrt.f64 N)))
(*.f64 (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)) (/.f64 (/.f64 1 N) (sqrt.f64 N)))
(/.f64 (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)) (*.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 (+.f64 -1/2 N) N) (cbrt.f64 N)))
(*.f64 (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (*.f64 (cbrt.f64 N) N)))
(/.f64 (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(/.f64 (+.f64 -1/2 N) (*.f64 (*.f64 N (cbrt.f64 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 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) (cbrt.f64 N)))
(*.f64 (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (*.f64 (cbrt.f64 N) N)))
(/.f64 (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))
(/.f64 (+.f64 -1/2 N) (*.f64 (*.f64 N (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) (sqrt.f64 N)))
(*.f64 (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)) (/.f64 (/.f64 1 N) (sqrt.f64 N)))
(/.f64 (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)) (*.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 (+.f64 -1/2 N) N)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N N))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N N))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N N))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)))
(pow.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N N)) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 N)) N) 2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N N))) 3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N N)) 3) 1/3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(pow.f64 (/.f64 N (/.f64 (+.f64 -1/2 N) N)) -1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(neg.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N N)) 2))
(fabs.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N N)))
(log.f64 (exp.f64 (/.f64 (+.f64 -1/2 N) (*.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 -1/2 N) (*.f64 N N))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/2 N) (*.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 -1/2 N) (*.f64 N N))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N N)) 3))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/2 N) (*.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 -1/2 N) (*.f64 N N))
(exp.f64 (log.f64 (/.f64 (+.f64 -1/2 N) (*.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 -1/2 N) (*.f64 N N))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N N))) 1))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/2 N) (*.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 -1/2 N) (*.f64 N N))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/2 N) N))) 1)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (+.f64 -1/2 N) (/.f64 1 N))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (/.f64 (+.f64 -1/2 N) N) 1)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 1 (/.f64 (+.f64 -1/2 N) N))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (sqrt.f64 (+.f64 -1/2 N)) (*.f64 (sqrt.f64 (+.f64 -1/2 N)) (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2) (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 N)) 2) (*.f64 (cbrt.f64 (+.f64 -1/2 N)) (/.f64 1 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (/.f64 1 N) (+.f64 -1/2 N))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (+.f64 (neg.f64 N) 1/2) (/.f64 1 (neg.f64 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)))
(*.f64 (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)) (/.f64 1 (sqrt.f64 N)))
(/.f64 (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (+.f64 -1/2 N) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 -1/2 N) (cbrt.f64 N)))
(/.f64 (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(/.f64 (+.f64 -1/2 N) (*.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 N)) 1) (/.f64 (sqrt.f64 (+.f64 -1/2 N)) N))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 -1/2 N)) (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 -1/2 N) (cbrt.f64 N)))
(/.f64 (/.f64 (+.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(/.f64 (+.f64 -1/2 N) (*.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 N)) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/2 N)) N))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 -1/2 N)) (sqrt.f64 N)))
(*.f64 (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)) (/.f64 1 (sqrt.f64 N)))
(/.f64 (/.f64 (+.f64 -1/2 N) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (+.f64 -1/2 N) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)))
(pow.f64 (/.f64 (+.f64 -1/2 N) N) 1)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 N) N)) 2)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) 3)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/2 N) N) 3) 1/3)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(pow.f64 (/.f64 N (+.f64 -1/2 N)) -1)
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(neg.f64 (/.f64 (+.f64 -1/2 N) (neg.f64 N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 N) N) 2))
(fabs.f64 (+.f64 1 (/.f64 -1/2 N)))
(log.f64 (exp.f64 (/.f64 (+.f64 -1/2 N) N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/2 N) N))))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 N) N) 3))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/2 N) N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(exp.f64 (log.f64 (/.f64 (+.f64 -1/2 N) N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/2 N) N)) 1))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/2 N) N)))
(-.f64 1 (/.f64 1/2 N))
(+.f64 1 (/.f64 -1/2 N))

eval84.0ms (1.4%)

Compiler

Compiled 4983 to 3515 computations (29.5% saved)

prune43.0ms (0.7%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New2882290
Fresh011
Picked101
Done167
Total2909299
Error
0b
Counts
299 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
50.4b
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
✓33.9b
(/.f64 1 N)
✓35.5b
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓28.0b
(-.f64 N (log.f64 N))
✓34.9b
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
50.4b
(*.f64 (+.f64 -1/2 N) (/.f64 1 (*.f64 N N)))
✓28.8b
(neg.f64 (log.f64 N))
✓0b
(log1p.f64 (+.f64 (/.f64 1 N) 0))
61.1b
N
Compiler

Compiled 64 to 45 computations (29.7% saved)

regimes18.0ms (0.3%)

Counts
19 → 1
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(*.f64 (+.f64 -1/2 N) (/.f64 1 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(log1p.f64 (+.f64 (/.f64 1 N) 0))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (/.f64 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 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
Outputs
(log1p.f64 (+.f64 (/.f64 1 N) 0))
Calls

2 calls:

8.0ms
N
6.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
ErrorSegmentsBranch
0b1N
0b1(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 178 to 106 computations (40.4% saved)

regimes15.0ms (0.3%)

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

1 calls:

12.0ms
N
Results
ErrorSegmentsBranch
0.1b2N
Compiler

Compiled 92 to 53 computations (42.4% saved)

bsearch14.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
13.0ms
921.5634376650289
47170.52614267526
Results
12.0ms112×body256valid
Compiler

Compiled 173 to 128 computations (26% saved)

regimes15.0ms (0.2%)

Counts
11 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(*.f64 (+.f64 -1/2 N) (/.f64 1 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
Outputs
(-.f64 N (log.f64 N))
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
Calls

1 calls:

12.0ms
N
Results
ErrorSegmentsBranch
0.6b2N
Compiler

Compiled 86 to 49 computations (43% saved)

bsearch15.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
15.0ms
0.001912968541525617
28.95225927743639
Results
14.0ms128×body256valid
Compiler

Compiled 180 to 129 computations (28.3% saved)

regimes13.0ms (0.2%)

Counts
10 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(*.f64 (+.f64 -1/2 N) (/.f64 1 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))))
(neg.f64 (log.f64 N))
Outputs
(neg.f64 (log.f64 N))
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
Calls

1 calls:

11.0ms
N
Results
ErrorSegmentsBranch
1.0b2N
Compiler

Compiled 82 to 48 computations (41.5% saved)

bsearch15.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
15.0ms
0.001912968541525617
28.95225927743639
Results
14.0ms128×body256valid
Compiler

Compiled 172 to 129 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -28.9b remaining (-85.2%)

Threshold costs -28.9b (-85.2%)

Counts
9 → 1
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 -1/2 N) (*.f64 N N))
(/.f64 (/.f64 (+.f64 -1/2 N) N) N)
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N)))
(*.f64 (+.f64 -1/2 N) (/.f64 1 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))))
Outputs
(/.f64 1 N)
Calls

1 calls:

6.0ms
N
Results
ErrorSegmentsBranch
33.9b1N
Compiler

Compiled 79 to 46 computations (41.8% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
12×+-commutative
6×sub-neg
2×+-rgt-identity
2×1-exp
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034194
146194
250194
351194
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (/.f64 1 N) 0))
(if (<=.f64 N 11600) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))))
(if (<=.f64 N 7656119366529843/9007199254740992) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N 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
Outputs
(log1p.f64 (+.f64 (/.f64 1 N) 0))
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 11600) (log.f64 (/.f64 (+.f64 N 1) N)) (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))))
(if (<=.f64 N 11600) (log.f64 (/.f64 (+.f64 1 N) N)) (+.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N))))
(if (<=.f64 N 7656119366529843/9007199254740992) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))))
(if (<=.f64 N 7656119366529843/9007199254740992) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N 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))))
(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 78 to 55 computations (29.5% saved)

soundness103.0ms (1.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
11415
21915
32715
43615
55315
610415
714315
818915
923215
1025615
1125815
01721609
14241559
217121547
368861547
Stop Event
1×node limit
1×saturated
Compiler

Compiled 119 to 93 computations (21.8% saved)

end42.0ms (0.7%)

Compiler

Compiled 73 to 47 computations (35.6% saved)

Profiling

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