Details

Time bar (total: 1.4min)

analyze3.0ms (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)

sample1.6s (1.8%)

Results
626.0ms2032×body1024valid
597.0ms4907×body256valid
202.0ms1053×body512valid
121.0ms264×body2048valid
Bogosity

preprocess2.9s (3.5%)

Algorithm
2×egglog
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)

simplify1.5s (1.7%)

Algorithm
1×egglog
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))

eval1.0ms (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
29.2b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.2b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.5b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 11 to 4 computations (63.6% saved)

series14.0ms (0%)

Counts
1 → 11
Calls

3 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
(-.f64 (log1p.f64 N) (log.f64 N))
1.0ms
N
@0
(-.f64 (log1p.f64 N) (log.f64 N))
1.0ms
N
@inf
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 810 to 645 computations (20.4% saved)

rewrite1.4s (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
62×egg-rr
Counts
1 → 62
Calls
Call 1
Inputs
(-.f64 (log1p.f64 N) (log.f64 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (+.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log1p.f64 N))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))))) (#(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 (cbrt.f64 (pow.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 0 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 0 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N)))))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 0 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (+.f64 0 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (-.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log1p.f64 N)) (neg.f64 (cbrt.f64 (log.f64 N)))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (log1p.f64 N))))) (+.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 N) (log1p.f64 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 N) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.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 (-.f64 (log.f64 N) (log1p.f64 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (log.f64 N) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (log.f64 N)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))) (#(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 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))))) (#(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 pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(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 cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log1p.f64 N) 0) (*.f64 (log1p.f64 N) (-.f64 1 (/.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0) (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 0) (/.f64 (neg.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (*.f64 0 (+.f64 1 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log1p.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N))))) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N))))) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log1p.f64 N) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 N) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (-.f64 (log1p.f64 N) (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 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (log.f64 N)) 0) (log1p.f64 N))))))

simplify2.1s (2.5%)

Algorithm
1×egglog
Counts
73 → 92
Calls
Call 1
Inputs
(+.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 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 N) 4)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N))))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (+.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log1p.f64 N))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 2)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 0 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N)))))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 0 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (+.f64 0 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (-.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log1p.f64 N)) (neg.f64 (cbrt.f64 (log.f64 N)))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (log1p.f64 N))))) (+.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (log1p.f64 N))))
(*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) -1)
(*.f64 -1 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))
(-.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(/.f64 (-.f64 (log.f64 N) (log1p.f64 N)) -1)
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (log1p.f64 N))
(fma.f64 0 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(fma.f64 1 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(fma.f64 (cbrt.f64 (log.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (log1p.f64 N))
(fma.f64 1 (neg.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(if (!=.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (log1p.f64 N) 0) (*.f64 (log1p.f64 N) (-.f64 1 (/.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0) (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 0) (/.f64 (neg.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 0 0) (*.f64 0 (+.f64 1 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log1p.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N))))) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N))))) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (log1p.f64 N) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 1 0) (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (log.f64 N) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(+.f64 (-.f64 (neg.f64 (log.f64 N)) 0) (log1p.f64 N))
Outputs
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N 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 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 N) 4)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N))))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (fma.f64 -1/4 (pow.f64 (/.f64 1 N) 4) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(fma.f64 -1/3 (pow.f64 (/.f64 -1 N) 3) (fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N)))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
(fma.f64 -1/3 (pow.f64 (/.f64 -1 N) 3) (+.f64 (fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N)) (*.f64 -1/4 (pow.f64 (/.f64 1 N) 4))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (+.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log1p.f64 N))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 2)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(-.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 (cbrt.f64 (pow.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 0 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 0 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N)))))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 0 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (+.f64 0 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (-.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log1p.f64 N)) (neg.f64 (cbrt.f64 (log.f64 N)))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (log1p.f64 N))))) (+.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (log1p.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) -1)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 -1 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (-.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 (-.f64 (log.f64 N) (log1p.f64 N)) -1)
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 0 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (cbrt.f64 (log.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 (neg.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.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))
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(if (!=.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (log1p.f64 N) 0) (*.f64 (log1p.f64 N) (-.f64 1 (/.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (neg.f64 (log.f64 N)) (+.f64 1 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (neg.f64 (log.f64 N)) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0) (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0) (pow.f64 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.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 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 0) (/.f64 (neg.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 0 0) (*.f64 0 (+.f64 1 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 0 0) 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log1p.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log1p.f64 N)) 0) (/.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 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N))))) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) 0) (/.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 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N))))) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)) 0) (/.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 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (log1p.f64 N) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (log1p.f64 N) 0) (/.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 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.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 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 1 0) (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 0) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (log.f64 N) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (log.f64 N) 0) (/.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 (log1p.f64 N) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 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 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (neg.f64 (log.f64 N)) 0) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))

eval29.0ms (0%)

Compiler

Compiled 1779 to 742 computations (58.3% saved)

prune19.0ms (0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New83992
Fresh000
Picked011
Done000
Total831093
Error
0.0b
Counts
93 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.2b
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (neg.f64 (log.f64 N)) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
32.5b
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
▶29.9b
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
▶31.2b
(/.f64 1 N)
✓29.2b
(-.f64 (log1p.f64 N) (log.f64 N))
30.8b
(-.f64 N (log.f64 N))
▶32.0b
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N)))
▶31.6b
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
32.5b
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
29.9b
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (+.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log1p.f64 N))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))
Compiler

Compiled 276 to 186 computations (32.6% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (neg.f64 (log.f64 N)) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))))
✓0.1b
(/.f64 (log1p.f64 N) (log.f64 N))
3.5b
(-.f64 (log1p.f64 N) (log.f64 N))
✓3.5b
(-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))
Compiler

Compiled 66 to 21 computations (68.2% saved)

series31.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
N
@-inf
(-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))
0.0ms
N
@inf
(-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))
0.0ms
N
@inf
(*.f64 (neg.f64 (log.f64 N)) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))))
0.0ms
N
@0
(-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))
0.0ms
N
@-inf
(/.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 3620 to 2865 computations (20.9% saved)

rewrite1.6s (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
98×egg-rr
92×egg-rr
85×egg-rr
Counts
3 → 275
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (neg.f64 (log.f64 N)) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 3)) (pow.f64 (fma.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (+.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (+.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) -1) (-.f64 1 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (/.f64 (log1p.f64 N) (log.f64 N)))) 1) (-.f64 1 (cbrt.f64 (/.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 3)) (/.f64 1 (-.f64 (-.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 1 (*.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 N) (log.f64 N)))) -1))) (-.f64 (neg.f64 (cbrt.f64 (/.f64 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simplify4.4s (5.2%)

Algorithm
1×egglog
Counts
303 → 393
Calls
Call 1
Inputs
1
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(+.f64 (*.f64 1/2 (/.f64 (pow.f64 N 2) (log.f64 N))) (+.f64 1 (*.f64 -1 (/.f64 N (log.f64 N)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 N 2) (log.f64 N))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (*.f64 -1/3 (/.f64 (pow.f64 N 3) (log.f64 N))))))
(/.f64 1 (*.f64 N (log.f64 (/.f64 1 N))))
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(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N))) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N))))))) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 3) (+.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 2) 0)) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(if (!=.f64 (-.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 (+.f64 -1 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2)) (/.f64 (log1p.f64 N) (log.f64 N)))) -1) 0) (*.f64 (/.f64 (*.f64 (log.f64 N) (+.f64 -1 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 3))) (+.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2)) 3) 1)) (-.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 (+.f64 -1 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2)) (/.f64 (log1p.f64 N) (log.f64 N)))) -1)) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(if (!=.f64 (+.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 2) 0) 0) (/.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 3) (+.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 2) 0)) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)))
(+.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (neg.f64 (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N))) -1))
(+.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N))) -1) (neg.f64 (log.f64 N)))
(+.f64 0 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(+.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 0)
Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 N (log.f64 N))))
(-.f64 1 (/.f64 N (log.f64 N)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 N 2) (log.f64 N))) (+.f64 1 (*.f64 -1 (/.f64 N (log.f64 N)))))
(fma.f64 1/2 (/.f64 (pow.f64 N 2) (log.f64 N)) (-.f64 1 (/.f64 N (log.f64 N))))
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(/.f64 1 (*.f64 N (log.f64 (/.f64 1 N))))
(/.f64 -1 (*.f64 (log.f64 N) N))
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(/.f64 N (log.f64 N))
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1
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1
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(if (!=.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N))) -1) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N))) -1) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N))) -1) (*.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N))) -1)) (*.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N))) -1))))) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(if (!=.f64 (/.f64 (*.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (/.f64 (*.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (fma.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (log.f64 N))))) (*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N))) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N))))))) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (/.f64 (*.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (fma.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (log.f64 N))))) (*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 3) (+.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 2) 0)) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))) 2)) (*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))))
(if (!=.f64 (-.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 (+.f64 -1 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2)) (/.f64 (log1p.f64 N) (log.f64 N)))) -1) 0) (*.f64 (/.f64 (*.f64 (log.f64 N) (+.f64 -1 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 3))) (+.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2)) 3) 1)) (-.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 (+.f64 -1 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2)) (/.f64 (log1p.f64 N) (log.f64 N)))) -1)) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(if (!=.f64 (fma.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (+.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2) 1)) 1) 0) (*.f64 (/.f64 (*.f64 (log.f64 N) (-.f64 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 3) 1)) (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (+.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))) 3) -1)) (fma.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (+.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2) 1)) 1)) (*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))))
(if (!=.f64 (+.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 2) 0) 0) (/.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 3) (+.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 2) 0)) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(if (!=.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))) 2) 0) (/.f64 (pow.f64 (*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))) 2)) (*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)))
(*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (neg.f64 (log.f64 N)))
(*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N))) -1))
(*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N))) -1) (neg.f64 (log.f64 N)))
(*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 0 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 0)
(*.f64 (log.f64 N) (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))))

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 27 to 10 computations (63% saved)

series16.0ms (0%)

Counts
2 → 17
Calls

6 calls:

TimeVariablePointExpression
4.0ms
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))
1.0ms
N
@0
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
0.0ms
N
@-inf
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
Compiler

Compiled 1095 to 820 computations (25.1% saved)

rewrite1.5s (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
101×egg-rr
59×egg-rr
Counts
2 → 160
Calls
Call 1
Inputs
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
(-.f64 N (log.f64 N))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 N 2)) (*.f64 (cbrt.f64 (log.f64 N)) (+.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 N)))) (-.f64 (cbrt.f64 N) (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 N) N)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 N) N) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 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((x -.f64 3 (+.f64 3 (-.f64 (log.f64 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (-.f64 3 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 N) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (log.f64 N)) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 N) N) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (log.f64 N) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (pow.f64 (log.f64 N) 2)) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 2)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (log.f64 N)) 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 N 1 (neg.f64 (log.f64 N)))))) (#(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 pow.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 N (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N))) (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 N 0) (*.f64 N (-.f64 1 (/.f64 (log.f64 N) N))) (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (log.f64 N) N) 0) (/.f64 (neg.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (-.f64 (log.f64 N) N)) (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (neg.f64 (log.f64 N)) (+.f64 1 (/.f64 N (neg.f64 (log.f64 N))))) (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) (pow.f64 (-.f64 N (log.f64 N)) 2)) (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 N) (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N))) (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (log.f64 N) N) 0) (/.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) (pow.f64 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(2) ((x if (!=.f64 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (pow.f64 N 2)) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (pow.f64 N 2))) (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 N 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 N))))) (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 N 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (pow.f64 N 2))) (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (-.f64 N (log.f64 N)) 2) 0) (/.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) (pow.f64 (-.f64 N (log.f64 N)) 2)) (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (pow.f64 N 2))) (-.f64 N (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 (neg.f64 (log.f64 N)) (*.f64 (neg.f64 N) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (log.f64 N)) 0) N)))))

simplify3.4s (4%)

Algorithm
1×egglog
Counts
177 → 228
Calls
Call 1
Inputs
(+.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 -1/2 (pow.f64 N 2))))
(*.f64 -1/2 (pow.f64 (/.f64 1 N) -2))
(+.f64 N (*.f64 -1/2 (pow.f64 (/.f64 1 N) -2)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) -2)) (log.f64 (/.f64 1 N))))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) -2)) (log.f64 (/.f64 1 N))))
(*.f64 -1/2 (pow.f64 (/.f64 -1 N) -2))
(+.f64 N (*.f64 -1/2 (pow.f64 (/.f64 -1 N) -2)))
(+.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 (cbrt.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 2)))
(*.f64 (+.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 N 2) 2))) (*.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (+.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (*.f64 1/2 (pow.f64 N 2)))))) (+.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (-.f64 N (log.f64 N)))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (-.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (-.f64 N (log.f64 N)))))) (+.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N))))
(*.f64 1 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)))
(*.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 1)
(*.f64 -1 (-.f64 (log.f64 N) (fma.f64 (*.f64 -1/2 N) N N)))
(*.f64 (+.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 N 2) 2))) (+.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (-.f64 (log.f64 N) N))))) (-.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (-.f64 (log.f64 N) N))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 N 2)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 N) (*.f64 1/2 (pow.f64 N 2))) 2)) (*.f64 (cbrt.f64 N) (cbrt.f64 (+.f64 (log.f64 N) (*.f64 1/2 (pow.f64 N 2))))))) (-.f64 (cbrt.f64 N) (cbrt.f64 (+.f64 (log.f64 N) (*.f64 1/2 (pow.f64 N 2))))))
(-.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 (log.f64 N) N))
(-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N))
(-.f64 (-.f64 N (log.f64 N)) (*.f64 1/2 (pow.f64 N 2)))
(-.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)) (neg.f64 N))
(-.f64 0 (-.f64 (log.f64 N) (fma.f64 (*.f64 -1/2 N) N N)))
(-.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (neg.f64 N)) (log.f64 N))
(-.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2))) (log.f64 N))
(-.f64 1 (+.f64 1 (-.f64 (log.f64 N) (fma.f64 (*.f64 -1/2 N) N N))))
(-.f64 3 (+.f64 3 (-.f64 (log.f64 N) (fma.f64 (*.f64 -1/2 N) N N))))
(-.f64 (neg.f64 (log.f64 N)) (-.f64 (*.f64 1/2 (pow.f64 N 2)) N))
(-.f64 (neg.f64 (log.f64 N)) (+.f64 (neg.f64 N) (*.f64 1/2 (pow.f64 N 2))))
(-.f64 (neg.f64 (log.f64 N)) (-.f64 (neg.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(-.f64 N (+.f64 (log.f64 N) (*.f64 1/2 (pow.f64 N 2))))
(/.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 1)
(fma.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 N 2) 2))) (-.f64 N (log.f64 N)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 N 2) 2))) (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (-.f64 N (log.f64 N)))
(fma.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 1/4) (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 N 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) -1/2) (-.f64 N (log.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 N 2)) -1/2) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) (-.f64 N (log.f64 N)))
(fma.f64 (*.f64 (pow.f64 N 2) (cbrt.f64 -1/2)) (cbrt.f64 1/4) (-.f64 N (log.f64 N)))
(fma.f64 (*.f64 (*.f64 -1/2 N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(fma.f64 (*.f64 -1/2 N) N (-.f64 N (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 -1/2 (pow.f64 N 2) (-.f64 N (log.f64 N)))
(fma.f64 (pow.f64 N 2) -1/2 (-.f64 N (log.f64 N)))
(fma.f64 N (*.f64 -1/2 N) (-.f64 N (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))) (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 2)) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 N) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))
(fma.f64 -1 (-.f64 (log.f64 N) N) (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 1 N (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))
(fma.f64 1 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(fma.f64 1 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 (*.f64 -1/2 (pow.f64 N 2)) 1 (-.f64 N (log.f64 N)))
(fma.f64 N 1 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))
(fma.f64 (-.f64 N (log.f64 N)) 1 (*.f64 -1/2 (pow.f64 N 2)))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 3) 1/3)
(pow.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 1)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 3))
(neg.f64 (-.f64 (log.f64 N) (fma.f64 (*.f64 -1/2 N) N N)))
(neg.f64 (-.f64 (-.f64 (log.f64 N) (fma.f64 (*.f64 -1/2 N) N N)) 0))
(neg.f64 (-.f64 (neg.f64 N) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N))))
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(if (!=.f64 (+.f64 N (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N))) (-.f64 N (log.f64 N)))
(if (!=.f64 N 0) (*.f64 N (-.f64 1 (/.f64 (log.f64 N) N))) (-.f64 N (log.f64 N)))
(if (!=.f64 (-.f64 (log.f64 N) N) 0) (/.f64 (neg.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (-.f64 (log.f64 N) N)) (-.f64 N (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (neg.f64 (log.f64 N)) (+.f64 1 (/.f64 N (neg.f64 (log.f64 N))))) (-.f64 N (log.f64 N)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) (pow.f64 (-.f64 N (log.f64 N)) 2)) (-.f64 N (log.f64 N)))
(if (!=.f64 (-.f64 (neg.f64 N) (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N))) (-.f64 N (log.f64 N)))
(if (!=.f64 (-.f64 (log.f64 N) N) 0) (/.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) (pow.f64 (-.f64 N (log.f64 N)) 2)) (-.f64 N (log.f64 N)))
(if (!=.f64 (-.f64 N (log.f64 N)) 0) (/.f64 1 (/.f64 -1 (-.f64 (log.f64 N) N))) (-.f64 N (log.f64 N)))
(if (!=.f64 (neg.f64 N) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 N 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 N))))) (-.f64 N (log.f64 N)))
(if (!=.f64 (log.f64 N) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (pow.f64 N 2))) (-.f64 N (log.f64 N)))
(if (!=.f64 (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 N 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 N)))) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 N 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 N))))) (-.f64 N (log.f64 N)))
(if (!=.f64 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (pow.f64 N 2)) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (pow.f64 N 2))) (-.f64 N (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 N 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 N))))) (-.f64 N (log.f64 N)))
(if (!=.f64 N 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (pow.f64 N 2))) (-.f64 N (log.f64 N)))
(if (!=.f64 (pow.f64 (-.f64 N (log.f64 N)) 2) 0) (/.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) (pow.f64 (-.f64 N (log.f64 N)) 2)) (-.f64 N (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (pow.f64 N 2))) (-.f64 N (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) N)
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (neg.f64 N) -1))
(+.f64 N (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 N (log.f64 N)))
(+.f64 (+.f64 0 N) (neg.f64 (log.f64 N)))
(+.f64 (-.f64 (neg.f64 (log.f64 N)) 0) N)
Outputs
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(*.f64 -1/2 (pow.f64 (/.f64 1 N) -2))
(*.f64 -1/2 (pow.f64 (pow.f64 N -1) -2))
(+.f64 N (*.f64 -1/2 (pow.f64 (/.f64 1 N) -2)))
(+.f64 N (*.f64 -1/2 (pow.f64 (pow.f64 N -1) -2)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) -2)) (log.f64 (/.f64 1 N))))
(+.f64 (*.f64 -1/2 (pow.f64 (pow.f64 N -1) -2)) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) -2)) (log.f64 (/.f64 1 N))))
(+.f64 (*.f64 -1/2 (pow.f64 (pow.f64 N -1) -2)) (-.f64 N (log.f64 N)))
(*.f64 -1/2 (pow.f64 (/.f64 -1 N) -2))
(+.f64 N (*.f64 -1/2 (pow.f64 (/.f64 -1 N) -2)))
(+.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 (cbrt.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 2)))
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(*.f64 (+.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 N 2) 2))) (*.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (+.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (*.f64 1/2 (pow.f64 N 2)))))) (+.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (-.f64 N (log.f64 N)))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 N 2)) 2)) (*.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (+.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (*.f64 1/2 (pow.f64 N 2)))))) (+.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2)))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (-.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (-.f64 N (log.f64 N)))))) (+.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N))))
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(*.f64 1 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)))
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(*.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 1)
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(*.f64 -1 (-.f64 (log.f64 N) (fma.f64 (*.f64 -1/2 N) N N)))
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(*.f64 (+.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 N 2) 2))) (+.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (-.f64 (log.f64 N) N))))) (-.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (-.f64 (log.f64 N) N))))
(*.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 N 2)) 2)) (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2))) (cbrt.f64 (*.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 (log.f64 N) N)))) (-.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (-.f64 (log.f64 N) N))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 N 2)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 N) (*.f64 1/2 (pow.f64 N 2))) 2)) (*.f64 (cbrt.f64 N) (cbrt.f64 (+.f64 (log.f64 N) (*.f64 1/2 (pow.f64 N 2))))))) (-.f64 (cbrt.f64 N) (cbrt.f64 (+.f64 (log.f64 N) (*.f64 1/2 (pow.f64 N 2))))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 N 2)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N)) 2)) (cbrt.f64 (*.f64 N (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N)))))) (-.f64 (cbrt.f64 N) (cbrt.f64 (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N)))))
(-.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 (log.f64 N) N))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N))
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(-.f64 (-.f64 N (log.f64 N)) (*.f64 1/2 (pow.f64 N 2)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(-.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)) (neg.f64 N))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(-.f64 0 (-.f64 (log.f64 N) (fma.f64 (*.f64 -1/2 N) N N)))
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(-.f64 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (neg.f64 N)) (log.f64 N))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(-.f64 (-.f64 N (*.f64 1/2 (pow.f64 N 2))) (log.f64 N))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(-.f64 1 (+.f64 1 (-.f64 (log.f64 N) (fma.f64 (*.f64 -1/2 N) N N))))
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(-.f64 3 (+.f64 3 (-.f64 (log.f64 N) (fma.f64 (*.f64 -1/2 N) N N))))
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(-.f64 (neg.f64 (log.f64 N)) (-.f64 (*.f64 1/2 (pow.f64 N 2)) N))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(-.f64 (neg.f64 (log.f64 N)) (+.f64 (neg.f64 N) (*.f64 1/2 (pow.f64 N 2))))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(-.f64 (neg.f64 (log.f64 N)) (-.f64 (neg.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(-.f64 N (+.f64 (log.f64 N) (*.f64 1/2 (pow.f64 N 2))))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(/.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 1)
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(fma.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 N 2) 2))) (-.f64 N (log.f64 N)))
(fma.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 N 2)) 2)) (-.f64 N (log.f64 N)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 N 2) 2))) (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (-.f64 N (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 N 2)) 2)) (cbrt.f64 (*.f64 -1/2 (pow.f64 N 2))) (-.f64 N (log.f64 N)))
(fma.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 1/4) (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 N 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) -1/2) (-.f64 N (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 N 2)) (*.f64 -1/2 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (-.f64 N (log.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 N 2)) -1/2) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) (-.f64 N (log.f64 N)))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) (-.f64 N (log.f64 N)))
(fma.f64 (*.f64 (pow.f64 N 2) (cbrt.f64 -1/2)) (cbrt.f64 1/4) (-.f64 N (log.f64 N)))
(fma.f64 (*.f64 (*.f64 -1/2 N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(fma.f64 (*.f64 (*.f64 N -1/2) (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(fma.f64 (*.f64 -1/2 N) N (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(fma.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(fma.f64 -1/2 (pow.f64 N 2) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(fma.f64 (pow.f64 N 2) -1/2 (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(fma.f64 N (*.f64 -1/2 N) (-.f64 N (log.f64 N)))
(fma.f64 N (*.f64 N -1/2) (-.f64 N (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))) (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 2)) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 N) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))
(fma.f64 -1 (-.f64 (log.f64 N) N) (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(fma.f64 1 N (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(fma.f64 1 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(fma.f64 1 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(fma.f64 (*.f64 -1/2 (pow.f64 N 2)) 1 (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(fma.f64 N 1 (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(fma.f64 (-.f64 N (log.f64 N)) 1 (*.f64 -1/2 (pow.f64 N 2)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N))) 3)
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 3) 1/3)
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(pow.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 1)
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)) 3))
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(neg.f64 (-.f64 (log.f64 N) (fma.f64 (*.f64 -1/2 N) N N)))
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(neg.f64 (-.f64 (-.f64 (log.f64 N) (fma.f64 (*.f64 -1/2 N) N N)) 0))
(-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N))
(neg.f64 (-.f64 (neg.f64 N) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) (log.f64 N))))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(if (!=.f64 (-.f64 N (log.f64 N)) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (pow.f64 N 3) 2) (pow.f64 (-.f64 N (log.f64 N)) 3)) (fma.f64 (*.f64 -1/2 (pow.f64 N 2)) (fma.f64 (*.f64 -1/2 N) N (-.f64 (log.f64 N) N)) (pow.f64 (-.f64 N (log.f64 N)) 2))) (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)))
(if (!=.f64 (-.f64 N (log.f64 N)) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (pow.f64 N 3) 2) (pow.f64 (-.f64 N (log.f64 N)) 3)) (fma.f64 (*.f64 -1/2 (pow.f64 N 2)) (fma.f64 (*.f64 N -1/2) N (-.f64 (log.f64 N) N)) (pow.f64 (-.f64 N (log.f64 N)) 2))) (-.f64 (fma.f64 (*.f64 N -1/2) N N) (log.f64 N)))
(if (!=.f64 (-.f64 N (log.f64 N)) 0) (*.f64 (-.f64 N (log.f64 N)) (fma.f64 (*.f64 -1/2 N) (/.f64 N (-.f64 N (log.f64 N))) 1)) (-.f64 (fma.f64 (*.f64 -1/2 N) N N) (log.f64 N)))
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(if (!=.f64 (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 N 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 N)))) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 N 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 N))))) (-.f64 N (log.f64 N)))
(if (!=.f64 (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 N (+.f64 (log.f64 N) N))) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 N (+.f64 (log.f64 N) N)))) (-.f64 N (log.f64 N)))
(if (!=.f64 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (pow.f64 N 2)) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (pow.f64 N 2))) (-.f64 N (log.f64 N)))
(if (!=.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) N) (pow.f64 N 2)) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) N) (pow.f64 N 2))) (-.f64 N (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (+.f64 (pow.f64 N 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 N))))) (-.f64 N (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 N (+.f64 (log.f64 N) N)))) (-.f64 N (log.f64 N)))
(if (!=.f64 N 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (pow.f64 N 2))) (-.f64 N (log.f64 N)))
(if (!=.f64 N 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) N) (pow.f64 N 2))) (-.f64 N (log.f64 N)))
(if (!=.f64 (pow.f64 (-.f64 N (log.f64 N)) 2) 0) (/.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) (pow.f64 (-.f64 N (log.f64 N)) 2)) (-.f64 N (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (pow.f64 N 2))) (-.f64 N (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) N) (pow.f64 N 2))) (-.f64 N (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) N)
(-.f64 N (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (neg.f64 N) -1))
(-.f64 N (log.f64 N))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 0 (-.f64 N (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (+.f64 0 N) (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (-.f64 (neg.f64 (log.f64 N)) 0) N)
(-.f64 N (log.f64 N))

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
✓0.1b
(/.f64 (/.f64 1 N) N)
✓0.2b
(/.f64 1/3 (pow.f64 N 3))
✓13.4b
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N)))
Compiler

Compiled 48 to 35 computations (27.1% saved)

series22.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

Compiled 1920 to 1560 computations (18.8% saved)

rewrite1.5s (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
76×egg-rr
68×egg-rr
67×egg-rr
54×egg-rr
Counts
4 → 265
Calls
Call 1
Inputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (/.f64 1 N) N)
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
Outputs
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-1/2 (pow.f64 N 2)) N)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2))) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 N -1) 2) (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2)) (-.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 0) (/.f64 1 (/.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 N -1) 0) (*.f64 (pow.f64 N -1) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 N 2)) (pow.f64 N -1)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N))) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 -1/2 (pow.f64 N 2)) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (pow.f64 N 2)) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2)))))))

simplify5.1s (6.1%)

Algorithm
1×egglog
Counts
313 → 343
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 N -3))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1/3 (pow.f64 (/.f64 1 N) 3))
(*.f64 1/3 (pow.f64 (/.f64 1 N) 3))
(*.f64 1/3 (pow.f64 (/.f64 1 N) 3))
(*.f64 1/3 (pow.f64 (/.f64 1 N) 3))
(*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3))
(*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3))
(*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3))
(*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3))
(pow.f64 N -2)
(pow.f64 N -2)
(pow.f64 N -2)
(pow.f64 N -2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (/.f64 -1 N) 2)
(*.f64 -1/2 (pow.f64 N -2))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 2)))
(*.f64 (+.f64 (/.f64 (cbrt.f64 1/9) (pow.f64 N 2)) (-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) (/.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3)) N))) (+.f64 (/.f64 (cbrt.f64 1/3) N) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) (-.f64 (/.f64 (cbrt.f64 1/9) (pow.f64 N 2)) (/.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3)) N))) (+.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (/.f64 (cbrt.f64 1/3) N)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 2)) (cbrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))
(*.f64 1 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))
(*.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) (/.f64 -1/3 (pow.f64 N 3)))
(/.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 1)
(fma.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 (sqrt.f64 1/3) N) (/.f64 (sqrt.f64 1/3) (pow.f64 N 2)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(fma.f64 (cbrt.f64 1/3) (/.f64 (cbrt.f64 1/9) (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(fma.f64 (pow.f64 N -1) (/.f64 1/3 (pow.f64 N 2)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 2)) (/.f64 (sqrt.f64 1/3) N) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(fma.f64 (pow.f64 (pow.f64 N -1) 2) (/.f64 1/3 N) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(fma.f64 (cbrt.f64 -1/2) (/.f64 (cbrt.f64 1/4) (pow.f64 N 2)) (+.f64 (pow.f64 N -1) (/.f64 1/3 (pow.f64 N 3))))
(fma.f64 (/.f64 -1/2 N) (pow.f64 N -1) (+.f64 (pow.f64 N -1) (/.f64 1/3 (pow.f64 N 3))))
(fma.f64 (cbrt.f64 (/.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2)) (+.f64 (pow.f64 N -1) (/.f64 1/3 (pow.f64 N 3))))
(fma.f64 (/.f64 (cbrt.f64 1/3) N) (/.f64 (cbrt.f64 1/9) (pow.f64 N 2)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(fma.f64 (/.f64 (cbrt.f64 1/9) (pow.f64 N 2)) (/.f64 (cbrt.f64 1/3) N) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(fma.f64 (sqrt.f64 1/3) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(fma.f64 (/.f64 (cbrt.f64 1/3) (pow.f64 N 2)) (/.f64 (cbrt.f64 1/9) N) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(fma.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 N 2))) (/.f64 (pow.f64 N -1) (cbrt.f64 N)) (+.f64 (pow.f64 N -1) (/.f64 1/3 (pow.f64 N 3))))
(fma.f64 1/3 (pow.f64 (pow.f64 N -1) 3) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(fma.f64 -1/3 (/.f64 -1 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(fma.f64 (pow.f64 (pow.f64 N -1) 3) 1/3 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(fma.f64 -1/2 (pow.f64 (pow.f64 N -1) 2) (+.f64 (pow.f64 N -1) (/.f64 1/3 (pow.f64 N 3))))
(fma.f64 (pow.f64 (pow.f64 N -1) 2) -1/2 (+.f64 (pow.f64 N -1) (/.f64 1/3 (pow.f64 N 3))))
(fma.f64 1 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(fma.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 1 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (pow.f64 N -1) (/.f64 1/3 (pow.f64 N 3))))
(fma.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 1 (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 1/3 (pow.f64 N 3)) 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 3) 1/3)
(pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 1)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 3))
(neg.f64 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) -1))
(neg.f64 (*.f64 -1 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))
(if (!=.f64 (/.f64 1/3 (pow.f64 N 3)) 0) (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3)) (fma.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))
(if (!=.f64 (/.f64 1/3 (pow.f64 N 3)) 0) (*.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) (/.f64 1/3 (pow.f64 N 3))) 1)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))
(if (!=.f64 (fma.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2))) 0) (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3)) (fma.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))
(if (!=.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 0) (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3)) (fma.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))
(if (!=.f64 (+.f64 (/.f64 (-.f64 (/.f64 1/3 N) -1/2) (pow.f64 N 2)) (/.f64 -1 N)) 0) (/.f64 (-.f64 (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 N) -1/2) (pow.f64 N 2)) (/.f64 -1 N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))
(if (!=.f64 (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 0) (/.f64 (-.f64 (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 N) -1/2) (pow.f64 N 2)) (/.f64 -1 N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))
(if (!=.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 0) (*.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) (+.f64 (/.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 1)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))
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(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) 0) (/.f64 (/.f64 -1 (cbrt.f64 N)) (/.f64 (neg.f64 N) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)))) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 1 (/.f64 N (pow.f64 N -1))) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 (cbrt.f64 (pow.f64 N -1)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (/.f64 N (cbrt.f64 (pow.f64 N -1)))) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 N (/.f64 -1 N))) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 -1 0) (pow.f64 (pow.f64 N -1) 2) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 1 0) (pow.f64 (pow.f64 N -1) 2) (pow.f64 (pow.f64 N -1) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))
(*.f64 (+.f64 (/.f64 -1/2 N) 1) (pow.f64 N -1))
(*.f64 (pow.f64 N -1) (+.f64 (/.f64 -1/2 N) 1))
(*.f64 (pow.f64 N -1) (+.f64 1 (/.f64 -1/2 N)))
(*.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(*.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 1)
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1 N))
(/.f64 (+.f64 (/.f64 -1/2 N) 1) N)
(/.f64 (+.f64 (/.f64 1/2 N) -1) (neg.f64 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 -1 (/.f64 1/2 N)) (neg.f64 N))
(/.f64 (+.f64 (*.f64 (/.f64 1/2 N) (cbrt.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) (cbrt.f64 (pow.f64 N -1)))) (*.f64 (neg.f64 N) (cbrt.f64 (pow.f64 N 2))))
(/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N 2))) (*.f64 N (cbrt.f64 (pow.f64 N -1)))) (*.f64 (cbrt.f64 (pow.f64 N 2)) N))
(/.f64 (+.f64 (*.f64 -1/2 N) (pow.f64 N 2)) (pow.f64 N 3))
(/.f64 (+.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 N 2))) (*.f64 (pow.f64 N 2) (cbrt.f64 (pow.f64 N -1)))) (*.f64 (cbrt.f64 (pow.f64 N 2)) (pow.f64 N 2)))
(/.f64 (+.f64 (*.f64 -1/2 (neg.f64 N)) (*.f64 (pow.f64 N 2) -1)) (neg.f64 (pow.f64 N 3)))
(/.f64 (+.f64 (pow.f64 N 2) (*.f64 N -1/2)) (pow.f64 N 3))
(/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 N -1)) (neg.f64 N)) (*.f64 (cbrt.f64 (pow.f64 N 2)) (/.f64 1/2 N))) (*.f64 (cbrt.f64 (pow.f64 N 2)) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 N -1)) N) (*.f64 (cbrt.f64 (pow.f64 N 2)) (/.f64 -1/2 N))) (*.f64 (cbrt.f64 (pow.f64 N 2)) N))
(/.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 N -1)) (pow.f64 N 2)) (*.f64 (cbrt.f64 (pow.f64 N 2)) -1/2)) (*.f64 (cbrt.f64 (pow.f64 N 2)) (pow.f64 N 2)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (neg.f64 N) -1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 (/.f64 1/2 N) (neg.f64 N)) (*.f64 (neg.f64 N) -1)) (pow.f64 N 2))
(/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) N) N) (pow.f64 N 2))
(/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (pow.f64 N 2))
(/.f64 (+.f64 N (*.f64 (neg.f64 N) (/.f64 1/2 N))) (pow.f64 N 2))
(/.f64 (+.f64 (*.f64 (/.f64 1/2 N) N) (neg.f64 N)) (neg.f64 (pow.f64 N 2)))
(/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) (neg.f64 N)) (neg.f64 N)) (neg.f64 (pow.f64 N 2)))
(/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (neg.f64 (pow.f64 N 2)))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 -1/2 N))) (neg.f64 (pow.f64 N 2)))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) -1)
(/.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 1)
(fma.f64 (cbrt.f64 (pow.f64 N -1)) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (/.f64 -1/2 (pow.f64 N 2)))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (cbrt.f64 (pow.f64 N -1)) (/.f64 -1/2 (pow.f64 N 2)))
(fma.f64 (cbrt.f64 -1/2) (/.f64 (cbrt.f64 1/4) (pow.f64 N 2)) (pow.f64 N -1))
(fma.f64 (/.f64 -1/2 N) (pow.f64 N -1) (pow.f64 N -1))
(fma.f64 (cbrt.f64 (/.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2)) (pow.f64 N -1))
(fma.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 N 2))) (/.f64 (pow.f64 N -1) (cbrt.f64 N)) (pow.f64 N -1))
(fma.f64 -1/2 (pow.f64 (pow.f64 N -1) 2) (pow.f64 N -1))
(fma.f64 -1 (/.f64 -1 N) (/.f64 -1/2 (pow.f64 N 2)))
(fma.f64 (pow.f64 (pow.f64 N -1) 2) -1/2 (pow.f64 N -1))
(fma.f64 1 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2)))
(fma.f64 1 (/.f64 -1/2 (pow.f64 N 2)) (pow.f64 N -1))
(fma.f64 (/.f64 -1/2 (pow.f64 N 2)) 1 (pow.f64 N -1))
(fma.f64 (pow.f64 N -1) 1 (/.f64 -1/2 (pow.f64 N 2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 1)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3))
(neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))
(if (!=.f64 (/.f64 -1/2 (pow.f64 N 2)) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (pow.f64 (pow.f64 N -1) 2)) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (/.f64 (-.f64 (/.f64 -1/2 N) 1) N) 0) (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 -1 (pow.f64 N 2))) (/.f64 (-.f64 (/.f64 -1/2 N) 1) N)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (/.f64 -1/2 (pow.f64 N 2)) 0) (*.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2))) 1)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (-.f64 (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (pow.f64 (pow.f64 N -1) 2)) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N)) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (pow.f64 (pow.f64 N -1) 2)) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (pow.f64 (pow.f64 N -1) 2)) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3) -1/3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 0) (/.f64 1 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) -1)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (-.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2))) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 N -1) 2) (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2)) (-.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 0) (/.f64 1 (/.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (pow.f64 N -1) 0) (*.f64 (pow.f64 N -1) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 N 2)) (pow.f64 N -1)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N))) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (/.f64 -1/2 (pow.f64 N 2)) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 1 0) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (pow.f64 N -1))
(+.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2)))
Outputs
(*.f64 1/3 (pow.f64 N -3))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.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)) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1)))
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1/3 (pow.f64 N 2))) N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1/3 (pow.f64 N 2))) N)
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1/3 (pow.f64 N 2))) N)
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1/3 (pow.f64 N 2))) N)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1/3 (pow.f64 (/.f64 1 N) 3))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 1/3 (pow.f64 (/.f64 1 N) 3))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 1/3 (pow.f64 (/.f64 1 N) 3))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 1/3 (pow.f64 (/.f64 1 N) 3))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3))
(/.f64 1/3 (pow.f64 N 3))
(*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3))
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 N -2)
(pow.f64 N -2)
(pow.f64 N -2)
(pow.f64 N -2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(*.f64 -1/2 (pow.f64 N -2))
(*.f64 (pow.f64 N -2) -1/2)
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1))
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 2)))
(/.f64 (+.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1/3 (pow.f64 N 2))) N)
(*.f64 (+.f64 (/.f64 (cbrt.f64 1/9) (pow.f64 N 2)) (-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) (/.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3)) N))) (+.f64 (/.f64 (cbrt.f64 1/3) N) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))))
(*.f64 (-.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) (/.f64 (cbrt.f64 1/9) (pow.f64 N 2))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (*.f64 3 N))) N)) (+.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 (cbrt.f64 1/3) N)))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) (-.f64 (/.f64 (cbrt.f64 1/9) (pow.f64 N 2)) (/.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3)) N))) (+.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (/.f64 (cbrt.f64 1/3) N)))
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(fma.f64 (/.f64 -1/2 N) (pow.f64 N -1) (pow.f64 N -1))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 (cbrt.f64 (/.f64 -1/2 (pow.f64 N 2))) (cbrt.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2)) (pow.f64 N -1))
(+.f64 (cbrt.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 2) 3))) (pow.f64 N -1))
(fma.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 N 2))) (/.f64 (pow.f64 N -1) (cbrt.f64 N)) (pow.f64 N -1))
(fma.f64 -1/2 (pow.f64 (pow.f64 N -1) 2) (pow.f64 N -1))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 -1 (/.f64 -1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 (pow.f64 (pow.f64 N -1) 2) -1/2 (pow.f64 N -1))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 1 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 1 (/.f64 -1/2 (pow.f64 N 2)) (pow.f64 N -1))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 (/.f64 -1/2 (pow.f64 N 2)) 1 (pow.f64 N -1))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 (pow.f64 N -1) 1 (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 3)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3) 1/3)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 1)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(if (!=.f64 (/.f64 -1/2 (pow.f64 N 2)) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (pow.f64 (pow.f64 N -1) 2)) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (/.f64 -1/2 (pow.f64 N 2)) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 2) 3)) (pow.f64 (pow.f64 N 3) -1)) (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) N))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (/.f64 (-.f64 (/.f64 -1/2 N) 1) N) 0) (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 -1 (pow.f64 N 2))) (/.f64 (-.f64 (/.f64 -1/2 N) 1) N)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (/.f64 (+.f64 (/.f64 -1/2 N) -1) N) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 N -1) 2) (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2)) (/.f64 (+.f64 1 (/.f64 1/2 N)) N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (/.f64 -1/2 (pow.f64 N 2)) 0) (*.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2))) 1)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (/.f64 -1/2 (pow.f64 N 2)) 0) (*.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 1 (/.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2))))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (-.f64 (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (pow.f64 (pow.f64 N -1) 2)) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N)) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (pow.f64 (pow.f64 N -1) 2)) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) N)) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 2) 3)) (pow.f64 (pow.f64 N 3) -1)) (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) N))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (pow.f64 (pow.f64 N -1) 2)) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 2) 3)) (pow.f64 (pow.f64 N 3) -1)) (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) N))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 3) -1/3)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) -1/3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 0) (/.f64 1 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) -1)) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 0) (pow.f64 (/.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) -1) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 2) 3)) (pow.f64 (pow.f64 N 3) -1)) (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) N))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (-.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2))) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 N -1) 2) (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2)) (-.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 N -1) 2) (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2)) (/.f64 (+.f64 1 (/.f64 1/2 N)) N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 2)) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) 0) (/.f64 1 (/.f64 1 (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 0) (pow.f64 (/.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) -1) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (pow.f64 N -1) 0) (*.f64 (pow.f64 N -1) (+.f64 1 (/.f64 (/.f64 -1/2 (pow.f64 N 2)) (pow.f64 N -1)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 (+.f64 1 (/.f64 -1/2 (*.f64 (pow.f64 N -1) (pow.f64 N 2)))) N) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N))) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) N)) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 2) 3)) (pow.f64 (pow.f64 N 3) -1)) (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) N))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 (/.f64 -1/2 (pow.f64 N 2)) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (pow.f64 N -1) 3)) (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 -1/2 (pow.f64 N 2)) N)))) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 (/.f64 -1/2 (pow.f64 N 2)) 0) (/.f64 (+.f64 (/.f64 -1/8 (pow.f64 (pow.f64 N 2) 3)) (pow.f64 (pow.f64 N 3) -1)) (+.f64 (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 2) (/.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) N))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(if (!=.f64 1 0) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N) (/.f64 (+.f64 (/.f64 -1/2 N) 1) N))
(if (!=.f64 1 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (pow.f64 N -1))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(+.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)

localize16.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(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)
3.5b
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 29 to 12 computations (58.6% saved)

series50.0ms (0.1%)

Counts
2 → 22
Calls

6 calls:

TimeVariablePointExpression
3.0ms
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)
Compiler

Compiled 5755 to 4520 computations (21.5% saved)

rewrite1.5s (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
91×egg-rr
69×egg-rr
Counts
2 → 160
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
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log.f64 N) (log1p.f64 N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (+.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 0 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N)))))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (log1p.f64 N))))) (+.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (-.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (log1p.f64 N)) (neg.f64 (cbrt.f64 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N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (log.f64 N))) (+.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (log.f64 N)) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (*.f64 (neg.f64 (log.f64 N)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 N) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (*.f64 (log1p.f64 N) 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(log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (log1p.f64 N))) (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (log1p.f64 N) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 (log1p.f64 N) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log.f64 N) (log1p.f64 N)))) (neg.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log.f64 N) (log1p.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (neg.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log1p.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))))) (neg.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (neg.f64 (*.f64 (neg.f64 (log1p.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))))))

simplify3.5s (4.2%)

Algorithm
1×egglog
Counts
182 → 226
Calls
Call 1
Inputs
(+.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N)) 1/3)) (*.f64 1/3 (/.f64 (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)) 1/3) 2)) 1/3))))
(+.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N)) 1/3)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.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 (*.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2))) 2) (*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)) 1/3))) (pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N)) 1/3) 2)) 1/3) 2)))) (pow.f64 N 2)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)) 1/3) 2)))) (*.f64 1/3 (/.f64 (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)) 1/3) 2)) 1/3)))))
(+.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N)) 1/3)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.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 (*.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2))) 2) (*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)) 1/3))) (pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N)) 1/3) 2)) 1/3) 2)))) (pow.f64 N 2)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)) 1/3) 2)))) (+.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 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)) 1/3) 2)) 1/3))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 2 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 (log.f64 N) 2)) (*.f64 -1 (*.f64 (log.f64 N) (-.f64 (*.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2))) (*.f64 (pow.f64 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)) 1/3) (*.f64 (cbrt.f64 -1) (-.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 (*.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2))) 2) (*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N)) 1/3))) (pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)) 1/3) 2)) 1/3) 2))))))) (*.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N)) 1/3) 2)) 1/3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N)) 1/3) 2))))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2))) 3) (pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N)) 1/3) 2)) 1/3) 3))))) (pow.f64 N 3)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)) 1/3) 2)))))))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 N) 4)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N))))
(*.f64 -1 (/.f64 (cbrt.f64 -1) N))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 N) 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))) (*.f64 -1 (/.f64 (cbrt.f64 -1) N)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 7/4 (*.f64 3/4 (/.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3) 2)))) (pow.f64 (/.f64 -1 N) 3)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 N) 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))) (*.f64 -1 (/.f64 (cbrt.f64 -1) N))))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 7/4 (*.f64 3/4 (/.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3) 2)))) (pow.f64 (/.f64 -1 N) 3)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 N) 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 7/4 (*.f64 3/4 (/.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3) 2))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))) (+.f64 15/8 (*.f64 1/2 (/.f64 (*.f64 (+.f64 7/4 (*.f64 3/4 (/.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3) 2)))) (cbrt.f64 -1)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))))))) (pow.f64 (/.f64 -1 N) 4)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1 (/.f64 (cbrt.f64 -1) N)))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2))) (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 (pow.f64 N 2) (+.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 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2))))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 (pow.f64 N 2) (+.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 (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))) (*.f64 (+.f64 1 (+.f64 (*.f64 2 (log.f64 N)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (-.f64 (*.f64 -2/3 (log.f64 N)) 1))) (*.f64 1/3 (pow.f64 (log.f64 N) 2))))) (pow.f64 N 3)))))
(pow.f64 (/.f64 1 N) 3)
(+.f64 (*.f64 -3/2 (pow.f64 (/.f64 1 N) 4)) (pow.f64 (/.f64 1 N) 3))
(+.f64 (*.f64 -3/2 (pow.f64 (/.f64 1 N) 4)) (+.f64 (*.f64 7/4 (pow.f64 (/.f64 1 N) 5)) (pow.f64 (/.f64 1 N) 3)))
(+.f64 (*.f64 -15/8 (pow.f64 (/.f64 1 N) 6)) (+.f64 (*.f64 -3/2 (pow.f64 (/.f64 1 N) 4)) (+.f64 (*.f64 7/4 (pow.f64 (/.f64 1 N) 5)) (pow.f64 (/.f64 1 N) 3))))
(*.f64 -1 (pow.f64 (/.f64 -1 N) 3))
(+.f64 (*.f64 -1 (pow.f64 (/.f64 -1 N) 3)) (*.f64 -3/2 (pow.f64 (/.f64 -1 N) 4)))
(+.f64 (*.f64 -1 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -7/4 (pow.f64 (/.f64 -1 N) 5)) (*.f64 -3/2 (pow.f64 (/.f64 -1 N) 4))))
(+.f64 (*.f64 -1 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -7/4 (pow.f64 (/.f64 -1 N) 5)) (+.f64 (*.f64 -15/8 (pow.f64 (/.f64 -1 N) 6)) (*.f64 -3/2 (pow.f64 (/.f64 -1 N) 4)))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log.f64 N) (log1p.f64 N))) 2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (+.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 0 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N)))))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
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(if (!=.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) 3)) (+.f64 (*.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))))))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
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(if (!=.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 3) (pow.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 3)) (+.f64 (pow.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 2) (-.f64 (pow.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 2) (*.f64 (*.f64 (neg.f64 (log.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)))))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(if (!=.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 3) (pow.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 3)) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 2) (*.f64 (*.f64 (neg.f64 (log.f64 N)) (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 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(if (!=.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) 3)) (+.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))))) (-.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(if (!=.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) 3)) (+.f64 (*.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))))))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(if (!=.f64 0 0) (/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 3) (+.f64 0 (+.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 2) (*.f64 0 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 3))))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(+.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))))
(+.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 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(+.f64 (*.f64 (neg.f64 (log.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 0 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(+.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (log.f64 N))) (+.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
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(+.f64 (*.f64 (log1p.f64 N) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (*.f64 (log1p.f64 N) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(+.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (log1p.f64 N)) (+.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(+.f64 (+.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (neg.f64 (log.f64 N)) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 (neg.f64 (log.f64 N)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(+.f64 (+.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (log.f64 N)))) (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (log.f64 N))))
(+.f64 (+.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (log1p.f64 N))) (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (log1p.f64 N)))
(+.f64 (+.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (log1p.f64 N) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 (log1p.f64 N) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(+.f64 (neg.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log.f64 N) (log1p.f64 N)))) (neg.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log.f64 N) (log1p.f64 N)))))
(+.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (neg.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log1p.f64 N)))))
(+.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))))) (neg.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(+.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (neg.f64 (*.f64 (neg.f64 (log1p.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
Outputs
(+.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N)) 1/3)) (*.f64 1/3 (/.f64 (*.f64 N (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 2 (pow.f64 (log.f64 N) 2)))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2)) 1/3) 2)) 1/3))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 1/3 (/.f64 (*.f64 (*.f64 3 (pow.f64 (log.f64 N) 2)) N) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))
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(-.f64 (*.f64 (log1p.f64 N) (+.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)))) (*.f64 (log.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(+.f64 (+.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (neg.f64 (log.f64 N)) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 (neg.f64 (log.f64 N)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(-.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (log.f64 N)))
(+.f64 (+.f64 (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (log.f64 N)))) (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (log.f64 N))))
(-.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (log.f64 N)))
(+.f64 (+.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (log1p.f64 N))) (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (log1p.f64 N)))
(-.f64 (*.f64 (log1p.f64 N) (+.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)))) (*.f64 (log.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(+.f64 (+.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (log1p.f64 N) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 (log1p.f64 N) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(-.f64 (*.f64 (log1p.f64 N) (+.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)))) (*.f64 (log.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(+.f64 (neg.f64 (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log.f64 N) (log1p.f64 N)))) (neg.f64 (*.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log.f64 N) (log1p.f64 N)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
(+.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (neg.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (neg.f64 (log1p.f64 N)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
(+.f64 (neg.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))))) (neg.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)
(+.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (neg.f64 (*.f64 (neg.f64 (log1p.f64 N)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)

eval645.0ms (0.8%)

Compiler

Compiled 47215 to 23199 computations (50.9% saved)

prune374.0ms (0.4%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New136771374
Fresh224
Picked011
Done235
Total1371131384
Error
0.0b
Counts
1384 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.2b
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
▶29.5b
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (neg.f64 (log.f64 N)) (fma.f64 (log1p.f64 N) (/.f64 -1 (log.f64 N)) 1)) (-.f64 (log1p.f64 N) (log.f64 N)))
✓29.9b
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
31.2b
(pow.f64 N -1)
▶32.5b
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓31.2b
(/.f64 1 N)
32.0b
(-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N 2)) (/.f64 -1 N))
✓29.2b
(-.f64 (log1p.f64 N) (log.f64 N))
▶30.8b
(-.f64 N (log.f64 N))
▶46.0b
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) N) N) (pow.f64 N 2)))
✓31.6b
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
32.5b
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
29.9b
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (+.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))
Compiler

Compiled 329 to 218 computations (33.7% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))
0.1b
(/.f64 (log1p.f64 N) (log.f64 N))
3.5b
(-.f64 (log1p.f64 N) (log.f64 N))
✓3.5b
(+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))
Compiler

Compiled 64 to 21 computations (67.2% saved)

series33.0ms (0%)

Counts
2 → 19
Calls

6 calls:

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

Compiled 2390 to 1925 computations (19.5% saved)

rewrite1.6s (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
112×egg-rr
82×egg-rr
Counts
2 → 194
Calls
Call 1
Inputs
(+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 1 (cbrt.f64 (/.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2))) (+.f64 (cbrt.f64 (/.f64 (log1p.f64 N) (log.f64 N))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (+.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) -1) (+.f64 -1 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 3)) (pow.f64 (fma.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (+.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (/.f64 (log1p.f64 N) (log.f64 N)))) 1) (+.f64 (cbrt.f64 (/.f64 (log1p.f64 N) (log.f64 N))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) 2)) (*.f64 0 (cbrt.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))))))) (cbrt.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 3)) (/.f64 1 (-.f64 -1 (+.f64 (pow.f64 (/.f64 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(log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (log1p.f64 N) (cbrt.f64 (log.f64 N))) -1) (cbrt.f64 (pow.f64 (log.f64 N) 2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 3)) (fma.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (+.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (/.f64 (log1p.f64 N) (cbrt.f64 (log.f64 N)))) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (log1p.f64 N) (cbrt.f64 (log.f64 N))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) -1)) (cbrt.f64 (pow.f64 (log.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) 1)))) (#(struct:change #<rule 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simplify3.8s (4.6%)

Algorithm
1×egglog
Counts
213 → 268
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 N (log.f64 N)) 1)
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(+.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (neg.f64 (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)))
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(+.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N)))) (neg.f64 (log.f64 N)))
(+.f64 0 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
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(+.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)))) (neg.f64 (log.f64 N)))
(+.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) -1)) (neg.f64 (log.f64 N)))
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(+.f64 (neg.f64 (log.f64 N)) (neg.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) -1)))
Outputs
-1
(-.f64 (/.f64 N (log.f64 N)) 1)
(+.f64 (/.f64 N (log.f64 N)) -1)
(-.f64 (+.f64 (/.f64 N (log.f64 N)) (*.f64 -1/2 (/.f64 (pow.f64 N 2) (log.f64 N)))) 1)
(+.f64 (/.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) (log.f64 N)) -1)
(-.f64 (+.f64 (/.f64 N (log.f64 N)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 N 3) (log.f64 N))) (*.f64 -1/2 (/.f64 (pow.f64 N 2) (log.f64 N))))) 1)
(+.f64 (/.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (pow.f64 N 2))) (log.f64 N)) (+.f64 (/.f64 N (log.f64 N)) -1))
(/.f64 -1 (*.f64 N (log.f64 (/.f64 1 N))))
(/.f64 (pow.f64 N -1) (log.f64 N))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 N) 2) (log.f64 (/.f64 1 N)))) (/.f64 1 (*.f64 N (log.f64 (/.f64 1 N)))))
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(*.f64 (log.f64 N) (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (log.f64 N) (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1))
(+.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N)))) (neg.f64 (log.f64 N)))
(*.f64 (log.f64 N) (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1))
(+.f64 0 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(*.f64 (log.f64 N) (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1))
(+.f64 (+.f64 (*.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (log.f64 N))) 0) (neg.f64 (log.f64 N)))
(*.f64 (log.f64 N) (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1))
(+.f64 (+.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N)))) 0) (neg.f64 (log.f64 N)))
(*.f64 (log.f64 N) (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1))
(+.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)))) (neg.f64 (log.f64 N)))
(*.f64 (log.f64 N) (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1))
(+.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) -1)) (neg.f64 (log.f64 N)))
(*.f64 (log.f64 N) (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1))
(+.f64 (neg.f64 (log.f64 N)) (neg.f64 (neg.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)))))
(*.f64 (log.f64 N) (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1))
(+.f64 (neg.f64 (log.f64 N)) (neg.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) -1)))
(*.f64 (log.f64 N) (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series6.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

Compiled 530 to 425 computations (19.8% saved)

rewrite1.5s (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
92×egg-rr
Counts
1 → 92
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
Outputs
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N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (/.f64 (+.f64 N 1/2) N) N) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 N -1) 2) (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2)) (/.f64 (/.f64 (+.f64 N 1/2) N) N)) (/.f64 (/.f64 (+.f64 N -1/2) N) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (/.f64 (-.f64 -1/2 N) N) N) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (pow.f64 (pow.f64 N -1) 2)) (/.f64 (/.f64 (-.f64 -1/2 N) N) N)) (/.f64 (/.f64 (+.f64 N -1/2) N) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 N -1) 0) (*.f64 (pow.f64 N -1) (+.f64 1 (/.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1)))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (/.f64 -1/2 N) N) 0) (*.f64 (/.f64 (/.f64 -1/2 N) N) (+.f64 1 (/.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N)))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N) 0) (/.f64 (-.f64 (pow.f64 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-1/2) N) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (-.f64 (pow.f64 (pow.f64 N -1) 2) (*.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 3) (/.f64 1 (pow.f64 N 3))) (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (-.f64 (pow.f64 (pow.f64 N -1) 2) (*.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 (+.f64 -1 (/.f64 1/2 N)) N)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (pow.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))))) 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(/.f64 (+.f64 N -1/2) N) N))))))

simplify2.4s (2.8%)

Algorithm
1×egglog
Counts
104 → 134
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 N -2))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N)))
(*.f64 1 (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(*.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) N)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2)) N))
(*.f64 (cbrt.f64 (pow.f64 N -1)) (/.f64 (/.f64 (+.f64 N -1/2) N) (cbrt.f64 (pow.f64 N 2))))
(*.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) N) (pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) -1))
(*.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (/.f64 1 (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) N)))
(*.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 (pow.f64 N -1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2)) N) (cbrt.f64 (/.f64 (+.f64 N -1/2) N)))
(*.f64 (pow.f64 N -1) (/.f64 (+.f64 N -1/2) N))
(*.f64 (/.f64 (+.f64 N -1/2) N) (pow.f64 N -1))
(*.f64 -1 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))
(*.f64 (+.f64 -1 (/.f64 1/2 N)) (/.f64 -1 N))
(*.f64 (/.f64 -1 N) (+.f64 -1 (/.f64 1/2 N)))
(-.f64 (/.f64 0 (neg.f64 N)) (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))
(-.f64 0 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))
(-.f64 (pow.f64 N -1) (neg.f64 (/.f64 (/.f64 -1/2 N) N)))
(-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1 N))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2)) N)) (cbrt.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N)))
(/.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) (cbrt.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 N 2))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) N) (cbrt.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) 2)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) 2))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) (cbrt.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 N 2))))
(/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 N 3)) -1) (neg.f64 N)) (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) N) (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 1/2 N))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2))) (neg.f64 (cbrt.f64 N)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2)) (cbrt.f64 (+.f64 -1 (/.f64 1/2 N)))) (neg.f64 (cbrt.f64 N)))
(/.f64 (+.f64 -1 (/.f64 1/2 N)) (neg.f64 N))
(/.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 1)
(/.f64 (/.f64 (+.f64 N -1/2) N) N)
(/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) N))
(/.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 N))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) N)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2))) (cbrt.f64 N))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2)) (cbrt.f64 (/.f64 (+.f64 N -1/2) N))) (cbrt.f64 N))
(/.f64 (+.f64 1 (pow.f64 (/.f64 -1/8 (pow.f64 N 3)) 3)) (*.f64 (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) N) (+.f64 1 (/.f64 (-.f64 (pow.f64 (/.f64 1/4 N) 3) -1/8) (pow.f64 N 3)))))
(/.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 N -1)) (/.f64 (+.f64 N -1/2) N)) (cbrt.f64 (pow.f64 N 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2))) (cbrt.f64 (pow.f64 N 2)))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 N 3)) -1) (*.f64 (neg.f64 N) (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N)))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 N 3)) -1) (*.f64 N (/.f64 (-.f64 -1/2 (+.f64 (/.f64 1/4 N) N)) N)))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 N 3)) -1) (neg.f64 (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) N)))
(/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 N 3)) -1) N) (/.f64 (-.f64 -1/2 (+.f64 (/.f64 1/4 N) N)) N))
(/.f64 (*.f64 (pow.f64 N -1) (+.f64 (/.f64 1/8 (pow.f64 N 3)) -1)) (/.f64 (-.f64 -1/2 (+.f64 (/.f64 1/4 N) N)) N))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) N)) (/.f64 (-.f64 -1/2 (+.f64 (/.f64 1/4 N) N)) N))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 1)
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 3))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))
(neg.f64 (+.f64 (neg.f64 (/.f64 (/.f64 -1/2 N) N)) (/.f64 -1 N)))
(neg.f64 (+.f64 (/.f64 -1 N) (neg.f64 (/.f64 (/.f64 -1/2 N) N))))
(neg.f64 (-.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N) (/.f64 0 (neg.f64 N))))
(neg.f64 (-.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N) 0))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) N)) (/.f64 N (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2)))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 (+.f64 N -1/2) N) 0) (pow.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) -1) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (+.f64 -1 (/.f64 1/2 N)) 0) (pow.f64 (/.f64 N (/.f64 (+.f64 N -1/2) N)) -1) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2))) 0) (/.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) N)) (/.f64 N (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2)))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2)) 0) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 1/2 N))) (/.f64 (neg.f64 N) (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2)))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 (+.f64 N -1/2) N) 0) (/.f64 -1 (/.f64 (neg.f64 N) (/.f64 (+.f64 N -1/2) N))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) 0) (pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) N) (+.f64 1 (/.f64 -1/8 (pow.f64 N 3)))) -1) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) 2)) 0) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3)))) (/.f64 (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) N) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) 2)))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 (+.f64 N -1/2) N) 0) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) (/.f64 (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) N) (/.f64 (+.f64 N -1/2) N))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) (pow.f64 N -1))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) -1) 0) (/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (/.f64 N (pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) -1))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) N)) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2)) (/.f64 N (cbrt.f64 (/.f64 (+.f64 N -1/2) N)))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/4 N) 1/2) N) 2) (/.f64 (+.f64 (/.f64 -1/4 N) -1/2) N))) 0) (*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) N) (+.f64 1 (pow.f64 (/.f64 (+.f64 (/.f64 1/4 N) 1/2) N) 3))) (+.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/4 N) 1/2) N) 2) (/.f64 (+.f64 (/.f64 -1/4 N) -1/2) N)))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 1 0) (/.f64 (/.f64 (+.f64 N -1/2) N) N) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 0) (/.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) -1)) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (pow.f64 (/.f64 (/.f64 -1/2 N) N) 3)) (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (*.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 (/.f64 -1/2 N) N) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 3) (/.f64 1 (pow.f64 N 3))) (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (-.f64 (pow.f64 (pow.f64 N -1) 2) (*.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (+.f64 (/.f64 0 (neg.f64 N)) (/.f64 (+.f64 -1 (/.f64 1/2 N)) N)) 0) (/.f64 (-.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2)) (+.f64 (/.f64 0 (neg.f64 N)) (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (+.f64 0 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N)) 0) (/.f64 (-.f64 0 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2)) (+.f64 0 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 (/.f64 (+.f64 N 1/2) N) N) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 N -1) 2) (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2)) (/.f64 (/.f64 (+.f64 N 1/2) N) N)) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 (/.f64 (-.f64 -1/2 N) N) N) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (pow.f64 (pow.f64 N -1) 2)) (/.f64 (/.f64 (-.f64 -1/2 N) N) N)) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (pow.f64 N -1) 0) (*.f64 (pow.f64 N -1) (+.f64 1 (/.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1)))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 (/.f64 -1/2 N) N) 0) (*.f64 (/.f64 (/.f64 -1/2 N) N) (+.f64 1 (/.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N)))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (pow.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N) 0) (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 0 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (*.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N)))) 0) (/.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (pow.f64 (/.f64 (/.f64 -1/2 N) N) 3)) (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (*.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (-.f64 (pow.f64 (pow.f64 N -1) 2) (*.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 3) (/.f64 1 (pow.f64 N 3))) (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (-.f64 (pow.f64 (pow.f64 N -1) 2) (*.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 (+.f64 -1 (/.f64 1/2 N)) N)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (pow.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 0 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N)))) 0) (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 0 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 (/.f64 -1/2 N) N) 0) (/.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (pow.f64 (/.f64 (/.f64 -1/2 N) N) 3)) (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (*.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 3) (/.f64 1 (pow.f64 N 3))) (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (-.f64 (pow.f64 (pow.f64 N -1) 2) (*.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 0 (neg.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (pow.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 0 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(+.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1))
(+.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N))
(+.f64 (/.f64 0 (neg.f64 N)) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(+.f64 0 (/.f64 (/.f64 (+.f64 N -1/2) N) N))
Outputs
(*.f64 -1/2 (pow.f64 N -2))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2)))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N)))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(*.f64 1 (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(*.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 1)
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) N)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2)) N))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 N 1/2) N) 2)) (cbrt.f64 (/.f64 (-.f64 N 1/2) N))) N)
(*.f64 (cbrt.f64 (pow.f64 N -1)) (/.f64 (/.f64 (+.f64 N -1/2) N) (cbrt.f64 (pow.f64 N 2))))
(/.f64 (/.f64 (-.f64 N 1/2) (*.f64 (cbrt.f64 N) N)) (cbrt.f64 (*.f64 N N)))
(*.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)))
(*.f64 (/.f64 (-.f64 N 1/2) (*.f64 (cbrt.f64 N) N)) (cbrt.f64 (/.f64 (/.f64 1 N) N)))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) N) (pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 1/2 N) 3) 1) N) (/.f64 (-.f64 (-.f64 -1/2 N) (/.f64 1/4 N)) N))
(*.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) (/.f64 1 (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) N)))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 1/2 N) 3) 1) N) (/.f64 (-.f64 (-.f64 -1/2 N) (/.f64 1/4 N)) N))
(*.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 (pow.f64 N -1)))
(/.f64 (/.f64 (-.f64 N 1/2) (*.f64 (cbrt.f64 N) N)) (cbrt.f64 (*.f64 N N)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2)) N) (cbrt.f64 (/.f64 (+.f64 N -1/2) N)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 N 1/2) N) 2)) (cbrt.f64 (/.f64 (-.f64 N 1/2) N))) N)
(*.f64 (pow.f64 N -1) (/.f64 (+.f64 N -1/2) N))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(*.f64 (/.f64 (+.f64 N -1/2) N) (pow.f64 N -1))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(*.f64 -1 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(*.f64 (+.f64 -1 (/.f64 1/2 N)) (/.f64 -1 N))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(*.f64 (/.f64 -1 N) (+.f64 -1 (/.f64 1/2 N)))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(-.f64 (/.f64 0 (neg.f64 N)) (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(-.f64 0 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(-.f64 (pow.f64 N -1) (neg.f64 (/.f64 (/.f64 -1/2 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 (cbrt.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 N -1/2) N) 2)) N)) (cbrt.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 -1/2 N) 3) -1)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 N 1/2) N) 2)) N)) (cbrt.f64 (/.f64 (+.f64 (/.f64 1/4 N) (-.f64 N -1/2)) N)))
(/.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) (cbrt.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 N 2))))
(/.f64 (/.f64 (-.f64 N 1/2) (*.f64 (cbrt.f64 N) N)) (cbrt.f64 (*.f64 N N)))
(/.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) N) (cbrt.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -1/2 N) 3) -1) N) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/4 N) (-.f64 N -1/2)) N) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 1/4 N) (-.f64 N -1/2)) N))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) 2))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) (cbrt.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 N 2))))
(/.f64 (/.f64 (-.f64 N 1/2) (*.f64 (cbrt.f64 N) N)) (cbrt.f64 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 N 3)) -1) (neg.f64 N)) (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 1/2 N) 3) 1) N) (/.f64 (-.f64 (-.f64 -1/2 N) (/.f64 1/4 N)) N))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 N 3))) N) (/.f64 (-.f64 (+.f64 (/.f64 1/4 N) N) -1/2) N))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 1/2 N) 3) 1) N) (/.f64 (-.f64 (-.f64 -1/2 N) (/.f64 1/4 N)) N))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 1/2 N))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2))) (neg.f64 (cbrt.f64 N)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 N 1/2) (*.f64 N N)) 2) (-.f64 (/.f64 1/2 N) 1)) (neg.f64 N)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2)) (cbrt.f64 (+.f64 -1 (/.f64 1/2 N)))) (neg.f64 (cbrt.f64 N)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 N 1/2) (*.f64 N N)) 2) (-.f64 (/.f64 1/2 N) 1)) (neg.f64 N)))
(/.f64 (+.f64 -1 (/.f64 1/2 N)) (neg.f64 N))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(/.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 1)
(/.f64 (-.f64 N 1/2) (*.f64 N N))
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(if (!=.f64 (/.f64 (-.f64 (/.f64 1/2 N) 1) N) 0) (/.f64 (pow.f64 (/.f64 (-.f64 N 1/2) (*.f64 N N)) 2) (/.f64 (-.f64 N 1/2) (*.f64 N N))) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(if (!=.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N) 0) (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 0 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 (-.f64 (/.f64 1/2 N) 1) N) 0) (/.f64 (pow.f64 (/.f64 (-.f64 N 1/2) (*.f64 N N)) 2) (/.f64 (-.f64 N 1/2) (*.f64 N N))) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(if (!=.f64 (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (*.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N)))) 0) (/.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (pow.f64 (/.f64 (/.f64 -1/2 N) N) 3)) (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (*.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (-.f64 (pow.f64 (/.f64 -1/2 (*.f64 N N)) 2) (*.f64 (/.f64 1 N) (/.f64 (/.f64 (-.f64 -1/2 N) N) N))) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -1/2 N) 3) -1) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 -1/2 (*.f64 N N)) 2) (*.f64 (/.f64 1 N) (/.f64 (/.f64 (-.f64 -1/2 N) N) N)))) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (-.f64 (pow.f64 (pow.f64 N -1) 2) (*.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 3) (/.f64 1 (pow.f64 N 3))) (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (-.f64 (pow.f64 (pow.f64 N -1) 2) (*.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (-.f64 (pow.f64 (/.f64 -1/2 (*.f64 N N)) 2) (*.f64 (/.f64 1 N) (/.f64 (/.f64 (-.f64 -1/2 N) N) N))) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -1/2 N) 3) -1) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 -1/2 (*.f64 N N)) 2) (*.f64 (/.f64 1 N) (/.f64 (/.f64 (-.f64 -1/2 N) N) N)))) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 (+.f64 -1 (/.f64 1/2 N)) N)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (pow.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (pow.f64 (/.f64 (-.f64 N 1/2) (*.f64 N N)) 2) 0) (/.f64 (pow.f64 (/.f64 (-.f64 N 1/2) (*.f64 N N)) 2) (/.f64 (-.f64 N 1/2) (*.f64 N N))) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 0 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N)))) 0) (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 0 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (pow.f64 (/.f64 (-.f64 N 1/2) (*.f64 N N)) 2) 0) (/.f64 (pow.f64 (/.f64 (-.f64 N 1/2) (*.f64 N N)) 2) (/.f64 (-.f64 N 1/2) (*.f64 N N))) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(if (!=.f64 (/.f64 (/.f64 -1/2 N) N) 0) (/.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (pow.f64 (/.f64 (/.f64 -1/2 N) N) 3)) (+.f64 (pow.f64 (pow.f64 N -1) 2) (-.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (*.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 -1/2 (*.f64 N N)) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -1/2 N) 3) -1) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 -1/2 (*.f64 N N)) 2) (*.f64 (/.f64 1 N) (/.f64 (/.f64 (-.f64 -1/2 N) N) N)))) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 3) (/.f64 1 (pow.f64 N 3))) (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 N) N) 2) (-.f64 (pow.f64 (pow.f64 N -1) 2) (*.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 (/.f64 1 N) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -1/2 N) 3) -1) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 -1/2 (*.f64 N N)) 2) (*.f64 (/.f64 1 N) (/.f64 (/.f64 (-.f64 -1/2 N) N) N)))) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(if (!=.f64 (/.f64 0 (neg.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (pow.f64 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (-.f64 N 1/2) (*.f64 N N)) 2) (/.f64 (-.f64 N 1/2) (*.f64 N N))) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 N -1/2) N) N) 2) (*.f64 0 (/.f64 (+.f64 -1 (/.f64 1/2 N)) N))))) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (-.f64 N 1/2) (*.f64 N N)) 2) (/.f64 (-.f64 N 1/2) (*.f64 N N))) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(+.f64 (/.f64 (/.f64 -1/2 N) N) (pow.f64 N -1))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(+.f64 (pow.f64 N -1) (/.f64 (/.f64 -1/2 N) N))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(+.f64 (/.f64 0 (neg.f64 N)) (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(+.f64 0 (/.f64 (/.f64 (+.f64 N -1/2) N) N))
(/.f64 (-.f64 N 1/2) (*.f64 N N))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 8 to 3 computations (62.5% saved)

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 -1/2 N) N)
0.2b
(/.f64 1/3 (pow.f64 N 3))
✓13.4b
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) N) N) (pow.f64 N 2)))
✓14.0b
(/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) N) N) (pow.f64 N 2))
Compiler

Compiled 60 to 41 computations (31.7% saved)

series14.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

Compiled 1340 to 1100 computations (17.9% saved)

rewrite1.5s (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
105×egg-rr
43×egg-rr
29×egg-rr
Counts
3 → 177
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) N) N) (pow.f64 N 2))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) N) N) (pow.f64 N 2)))
(*.f64 (/.f64 -1/2 N) N)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 N -1) 2) (fma.f64 (/.f64 -1/2 N) N N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 (pow.f64 N -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (/.f64 -1/2 N) N N)) (/.f64 -1 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) N) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N) (/.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) (cbrt.f64 (pow.f64 N 2))) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2)) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1/2 N) N) (/.f64 N (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -1) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) N) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (cbrt.f64 (pow.f64 N 2))) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (/.f64 -1/2 N) N N)) (neg.f64 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) N) N)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 N 0) (/.f64 (/.f64 (+.f64 -1/2 N) N) (/.f64 (pow.f64 N 2) N)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (/.f64 -1/2 N) N N) 0) (pow.f64 (/.f64 (pow.f64 N 2) (fma.f64 (/.f64 -1/2 N) N N)) -1) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) (/.f64 (pow.f64 N 2) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2)))) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 3) 0) 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 N (/.f64 N -1/2))) (cbrt.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 2)) (cbrt.f64 (/.f64 N (/.f64 N -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (cbrt.f64 N)) (/.f64 N (cbrt.f64 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/2 N)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 N) 2)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 N (cbrt.f64 (/.f64 -1/2 N))) (cbrt.f64 (pow.f64 (/.f64 -1/2 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 N (/.f64 N -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 N (/.f64 N -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 (pow.f64 N 2)) (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 N) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 N (/.f64 -1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (pow.f64 N -1) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 N 1/2) (/.f64 -1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 N) N)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 N (/.f64 N -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 N 1/2) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 -1/2 N) (cbrt.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 N (/.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 N) N)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (/.f64 N -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 N (/.f64 N -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 N 1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 N 0) (/.f64 -1/2 (/.f64 N N)) (/.f64 N (/.f64 N -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 3) -1/3)) (/.f64 N (/.f64 N -1/2)))))))

simplify4.4s (5.2%)

Algorithm
1×egglog
Counts
213 → 248
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 N -2))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(*.f64 1/3 (pow.f64 N -3))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
(*.f64 (pow.f64 (pow.f64 N -1) 2) (fma.f64 (/.f64 -1/2 N) N N))
(*.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 (pow.f64 N -1) 2))
(*.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 1)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(*.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)))
(*.f64 (neg.f64 (fma.f64 (/.f64 -1/2 N) N N)) (/.f64 -1 (pow.f64 N 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) N) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2)) N))
(*.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N) (/.f64 N N))
(*.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) (cbrt.f64 (pow.f64 N 2))) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2)) (pow.f64 N 2)))
(*.f64 (/.f64 (+.f64 -1/2 N) N) (/.f64 N (pow.f64 N 2)))
(*.f64 (pow.f64 N -1) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) N))
(*.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) N) (pow.f64 N -1))
(*.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (cbrt.f64 (pow.f64 N 2))) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2))))
(-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2))))
(-.f64 0 (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2))))
(/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))
(/.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 1)
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(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 2)) (/.f64 (sqrt.f64 1/3) N) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 (/.f64 (cbrt.f64 1/3) (pow.f64 N 2)) (/.f64 (cbrt.f64 1/9) N) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 -1/3 (/.f64 -1 (pow.f64 N 3)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 1 (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 (pow.f64 N -1) 2) (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (/.f64 1/3 (pow.f64 N 3)))
(pow.f64 (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) 3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) 3))
(neg.f64 (+.f64 (/.f64 -1/3 (pow.f64 N 3)) (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2)))))
(neg.f64 (+.f64 (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2))) (/.f64 -1/3 (pow.f64 N 3))))
(neg.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 N (fma.f64 (/.f64 -1/2 N) N N)) 1/3)) (*.f64 (neg.f64 N) (pow.f64 (pow.f64 N 2) 2))))
(if (!=.f64 (/.f64 1/3 (pow.f64 N 3)) 0) (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 3)) (fma.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 1/3 (pow.f64 N 3)) 0) (*.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (*.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 N 2))))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2))) 0) (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 3)) (fma.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 0) (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 3)) (fma.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) 0) (/.f64 (-.f64 (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)) (/.f64 (-.f64 (/.f64 1/3 N) (fma.f64 (/.f64 -1/2 N) N N)) (pow.f64 N 2))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 0) (*.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (+.f64 1 (/.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 (-.f64 (/.f64 1/3 N) (fma.f64 (/.f64 -1/2 N) N N)) (pow.f64 N 2)) 0) (/.f64 (-.f64 (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)) (/.f64 (-.f64 (/.f64 1/3 N) (fma.f64 (/.f64 -1/2 N) N N)) (pow.f64 N 2))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) 3) -1/3)) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(+.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3)))
(*.f64 (cbrt.f64 (/.f64 N (/.f64 N -1/2))) (cbrt.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 2)) (cbrt.f64 (/.f64 N (/.f64 N -1/2))))
(*.f64 (/.f64 -1/2 (cbrt.f64 N)) (/.f64 N (cbrt.f64 (pow.f64 N 2))))
(*.f64 (cbrt.f64 (/.f64 -1/2 N)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 N) 2)) N))
(*.f64 (*.f64 N (cbrt.f64 (/.f64 -1/2 N))) (cbrt.f64 (pow.f64 (/.f64 -1/2 N) 2)))
(*.f64 1 (/.f64 N (/.f64 N -1/2)))
(*.f64 (/.f64 N (/.f64 N -1/2)) 1)
(*.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 (pow.f64 N 2)) (/.f64 -1/2 N)))
(*.f64 (*.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)))
(*.f64 (*.f64 -1/2 N) (pow.f64 N -1))
(*.f64 N (/.f64 -1/2 N))
(*.f64 -1/2 (*.f64 (pow.f64 N -1) N))
(*.f64 -1/2 (/.f64 N N))
(*.f64 (*.f64 N 1/2) (/.f64 -1 N))
(*.f64 (/.f64 -1/2 N) N)
(*.f64 (/.f64 (*.f64 -1/2 N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)))
(/.f64 (/.f64 (*.f64 -1/2 N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)))
(/.f64 (/.f64 N (/.f64 N -1/2)) 1)
(/.f64 (*.f64 N 1/2) (neg.f64 N))
(/.f64 (neg.f64 (/.f64 (*.f64 -1/2 N) (cbrt.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 N 2))))
(/.f64 N (/.f64 N -1/2))
(/.f64 (*.f64 -1/2 N) N)
(pow.f64 (/.f64 N (/.f64 N -1/2)) 1)
(pow.f64 (cbrt.f64 (/.f64 N (/.f64 N -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 3))
(neg.f64 (/.f64 (*.f64 N 1/2) N))
(if (!=.f64 N 0) (/.f64 -1/2 (/.f64 N N)) (/.f64 N (/.f64 N -1/2)))
(if (!=.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 3) -1/3)) (/.f64 N (/.f64 N -1/2)))
Outputs
(*.f64 -1/2 (pow.f64 N -2))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1))
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(*.f64 1/3 (pow.f64 N -3))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1)))
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 N -1)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 N -1)))
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 N -1)))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 N -1)))
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
(*.f64 (pow.f64 (pow.f64 N -1) 2) (fma.f64 (/.f64 -1/2 N) N N))
(*.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 (pow.f64 N -1) N))
(*.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 (pow.f64 N -1) 2))
(*.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 (pow.f64 N -1) N))
(*.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 1)
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 N -1) N)) (fma.f64 (/.f64 -1/2 N) N N)) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))
(*.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(*.f64 (neg.f64 (fma.f64 (/.f64 -1/2 N) N N)) (/.f64 -1 (pow.f64 N 2)))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) N) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2)) N))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2))) (pow.f64 N 2))
(*.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N) (/.f64 N N))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(*.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) (cbrt.f64 (pow.f64 N 2))) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 (fma.f64 (/.f64 -1/2 N) N N) (*.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2)) (pow.f64 N 2)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2))) (pow.f64 N 2))
(*.f64 (/.f64 (+.f64 -1/2 N) N) (/.f64 N (pow.f64 N 2)))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(*.f64 (pow.f64 N -1) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) N))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(*.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) N) (pow.f64 N -1))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(*.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (cbrt.f64 (pow.f64 N 2))) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 (fma.f64 (/.f64 -1/2 N) N N) (*.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2))))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2))))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(-.f64 0 (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2))))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(/.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 1)
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(/.f64 (neg.f64 (fma.f64 (/.f64 -1/2 N) N N)) (neg.f64 (pow.f64 N 2)))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(/.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) N) N)
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(/.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))
(/.f64 (fma.f64 (/.f64 -1/2 N) N N) (*.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) N)) (neg.f64 N))
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (cbrt.f64 (pow.f64 N 2)))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 (fma.f64 (/.f64 -1/2 N) N N) (*.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 (*.f64 (+.f64 (/.f64 1/2 N) -1) (/.f64 N (pow.f64 N 2))) -1)
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
(pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 1)
(/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3))
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(if (!=.f64 (/.f64 1/3 (pow.f64 N 3)) 0) (*.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (*.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 N 2))))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 1/3 (pow.f64 N 3)) 0) (*.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 N 1/2) N)) N) (/.f64 (cbrt.f64 1/3) N)) 3) -1)) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2))) 0) (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 3)) (fma.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (fma.f64 (/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3)) (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) (/.f64 1/9 (pow.f64 (pow.f64 N 2) 3))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3)) 3) (pow.f64 (/.f64 -1/3 (pow.f64 N 3)) 3)) (fma.f64 (/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3)) (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) (/.f64 1/9 (pow.f64 (pow.f64 N 2) 3)))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 0) (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 3)) (fma.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3)) 3) (pow.f64 (/.f64 -1/3 (pow.f64 N 3)) 3)) (fma.f64 (/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3)) (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) (/.f64 1/9 (pow.f64 (pow.f64 N 2) 3)))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) 0) (/.f64 (-.f64 (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)) (/.f64 (-.f64 (/.f64 1/3 N) (fma.f64 (/.f64 -1/2 N) N N)) (pow.f64 N 2))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3)) 2) (/.f64 1/9 (pow.f64 (pow.f64 N 2) 3))) (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 0) (*.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (+.f64 1 (/.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3)) 0) (*.f64 (/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) (*.f64 (/.f64 (cbrt.f64 (*.f64 (-.f64 N 1/2) N)) N) N)) 3) -1)) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 (-.f64 (/.f64 1/3 N) (fma.f64 (/.f64 -1/2 N) N N)) (pow.f64 N 2)) 0) (/.f64 (-.f64 (/.f64 1/9 (pow.f64 (pow.f64 N 3) 2)) (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)) (/.f64 (-.f64 (/.f64 1/3 N) (fma.f64 (/.f64 -1/2 N) N N)) (pow.f64 N 2))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (/.f64 (-.f64 (/.f64 1/3 N) (fma.f64 (/.f64 -1/2 N) N N)) (pow.f64 N 2)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 N 1/2) N) (pow.f64 N 3)) 2) (/.f64 1/9 (pow.f64 (pow.f64 N 2) 3))) (/.f64 (-.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2))) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(if (!=.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)) 3) -1/3)) (/.f64 (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)) (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(/.f64 (+.f64 (*.f64 (-.f64 N 1/2) N) 1/3) (pow.f64 N 3))
(+.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 (-.f64 N 1/2) N) 1/3) (pow.f64 N 3))
(*.f64 (cbrt.f64 (/.f64 N (/.f64 N -1/2))) (cbrt.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 2)))
(/.f64 (*.f64 -1/2 N) N)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 2)) (cbrt.f64 (/.f64 N (/.f64 N -1/2))))
(/.f64 (*.f64 -1/2 N) N)
(*.f64 (/.f64 -1/2 (cbrt.f64 N)) (/.f64 N (cbrt.f64 (pow.f64 N 2))))
(/.f64 (*.f64 -1/2 N) (*.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 2))))
(*.f64 (cbrt.f64 (/.f64 -1/2 N)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 N) 2)) N))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 N)) (cbrt.f64 (pow.f64 (/.f64 -1/2 N) 2))) N)
(*.f64 (*.f64 N (cbrt.f64 (/.f64 -1/2 N))) (cbrt.f64 (pow.f64 (/.f64 -1/2 N) 2)))
(*.f64 N (*.f64 (cbrt.f64 (/.f64 -1/2 N)) (cbrt.f64 (pow.f64 (/.f64 -1/2 N) 2))))
(*.f64 1 (/.f64 N (/.f64 N -1/2)))
(/.f64 (*.f64 -1/2 N) N)
(*.f64 (/.f64 N (/.f64 N -1/2)) 1)
(/.f64 (*.f64 -1/2 N) N)
(*.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 (pow.f64 N 2)) (/.f64 -1/2 N)))
(*.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 2))) (/.f64 -1/2 N))
(*.f64 (*.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)))
(*.f64 (/.f64 -1/2 N) (*.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 2))))
(*.f64 (*.f64 -1/2 N) (pow.f64 N -1))
(/.f64 (*.f64 -1/2 N) N)
(*.f64 N (/.f64 -1/2 N))
(/.f64 (*.f64 -1/2 N) N)
(*.f64 -1/2 (*.f64 (pow.f64 N -1) N))
(/.f64 (*.f64 -1/2 N) N)
(*.f64 -1/2 (/.f64 N N))
(/.f64 (*.f64 -1/2 N) N)
(*.f64 (*.f64 N 1/2) (/.f64 -1 N))
(/.f64 (*.f64 -1/2 N) N)
(*.f64 (/.f64 -1/2 N) N)
(/.f64 (*.f64 -1/2 N) N)
(*.f64 (/.f64 (*.f64 -1/2 N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 N -1) N)) (/.f64 (*.f64 -1/2 N) (cbrt.f64 N)))
(/.f64 (/.f64 (*.f64 -1/2 N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)))
(/.f64 (*.f64 -1/2 N) (*.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 N)))
(/.f64 (/.f64 N (/.f64 N -1/2)) 1)
(/.f64 (*.f64 -1/2 N) N)
(/.f64 (*.f64 N 1/2) (neg.f64 N))
(/.f64 (*.f64 -1/2 N) N)
(/.f64 (neg.f64 (/.f64 (*.f64 -1/2 N) (cbrt.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 N 2))))
(/.f64 (*.f64 -1/2 N) (*.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 N)))
(/.f64 N (/.f64 N -1/2))
(/.f64 (*.f64 -1/2 N) N)
(/.f64 (*.f64 -1/2 N) N)
(pow.f64 (/.f64 N (/.f64 N -1/2)) 1)
(/.f64 (*.f64 -1/2 N) N)
(pow.f64 (cbrt.f64 (/.f64 N (/.f64 N -1/2))) 3)
(/.f64 (*.f64 -1/2 N) N)
(pow.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 3) 1/3)
(/.f64 (*.f64 -1/2 N) N)
(cbrt.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 3))
(/.f64 (*.f64 -1/2 N) N)
(neg.f64 (/.f64 (*.f64 N 1/2) N))
(/.f64 (*.f64 -1/2 N) N)
(if (!=.f64 N 0) (/.f64 -1/2 (/.f64 N N)) (/.f64 N (/.f64 N -1/2)))
(if (!=.f64 N 0) (/.f64 -1/2 (/.f64 N N)) (/.f64 (*.f64 -1/2 N) N))
(if (!=.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 N (/.f64 N -1/2)) 3) -1/3)) (/.f64 N (/.f64 N -1/2)))
(if (!=.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) -1/3)) (/.f64 (*.f64 -1/2 N) N))

localize40.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (neg.f64 (log.f64 N)) (fma.f64 (log1p.f64 N) (/.f64 -1 (log.f64 N)) 1))
✓0.2b
(/.f64 -1 (log.f64 N))
3.5b
(-.f64 (log1p.f64 N) (log.f64 N))
✓29.7b
(fma.f64 (log1p.f64 N) (/.f64 -1 (log.f64 N)) 1)
Compiler

Compiled 69 to 29 computations (58% saved)

series66.0ms (0.1%)

Counts
3 → 23
Calls

9 calls:

TimeVariablePointExpression
32.0ms
N
@0
(/.f64 -1 (log.f64 N))
8.0ms
N
@-inf
(/.f64 -1 (log.f64 N))
5.0ms
N
@inf
(/.f64 -1 (log.f64 N))
0.0ms
N
@-inf
(fma.f64 (log1p.f64 N) (/.f64 -1 (log.f64 N)) 1)
0.0ms
N
@0
(fma.f64 (log1p.f64 N) (/.f64 -1 (log.f64 N)) 1)
Compiler

Compiled 2760 to 2255 computations (18.3% saved)

rewrite1.6s (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
86×egg-rr
63×egg-rr
58×egg-rr
Counts
3 → 207
Calls
Call 1
Inputs
(fma.f64 (log1p.f64 N) (/.f64 -1 (log.f64 N)) 1)
(/.f64 -1 (log.f64 N))
(*.f64 (neg.f64 (log.f64 N)) (fma.f64 (log1p.f64 N) (/.f64 -1 (log.f64 N)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 (pow.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 3))) (/.f64 1 (+.f64 (pow.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) 2)) (+.f64 1 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N)))) -1))) (-.f64 (cbrt.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 (cbrt.f64 (pow.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N)))))) (+.f64 1 (cbrt.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) 2)) (-.f64 1 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N)))) 1))) (+.f64 (cbrt.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.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 0 (+.f64 (/.f64 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simplify3.6s (4.3%)

Algorithm
1×egglog
Counts
230 → 288
Calls
Call 1
Inputs
1
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Outputs
1
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(+.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (log.f64 N))) -1)) (neg.f64 (log.f64 N)))
(*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))
(+.f64 0 (*.f64 (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1) (log.f64 N)))
(*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))
(+.f64 (*.f64 (+.f64 (/.f64 (log1p.f64 N) (log.f64 N)) -1) (log.f64 N)) 0)
(*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))

eval631.0ms (0.7%)

Compiler

Compiled 46341 to 21665 computations (53.2% saved)

prune350.0ms (0.4%)

Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New139481402
Fresh044
Picked101
Done178
Total1396191415
Error
0.0b
Counts
1415 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
46.5b
(if (!=.f64 (/.f64 (-.f64 N 1/2) N) 0) (/.f64 (+.f64 (/.f64 1/4 N) (-.f64 N -1/2)) (*.f64 (/.f64 (*.f64 N (-.f64 (-.f64 -1/2 N) (/.f64 1/4 N))) (*.f64 (-.f64 (/.f64 1/2 N) 1) N)) N)) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
▶29.2b
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (-.f64 1 (+.f64 1 (*.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
29.5b
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (fma.f64 (/.f64 1 (log.f64 N)) (log1p.f64 N) -1) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
✓29.2b
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
✓29.9b
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
▶31.2b
(pow.f64 N -1)
▶46.5b
(/.f64 (-.f64 N 1/2) (*.f64 N N))
▶51.6b
(/.f64 (+.f64 (*.f64 (-.f64 N 1/2) N) 1/3) (pow.f64 N 3))
✓32.5b
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓31.2b
(/.f64 1 N)
32.0b
(-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N 2)) (/.f64 -1 N))
✓29.2b
(-.f64 (log1p.f64 N) (log.f64 N))
✓30.8b
(-.f64 N (log.f64 N))
✓31.6b
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
32.5b
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
30.8b
(+.f64 N (log.f64 (/.f64 1 N)))
▶45.7b
(*.f64 (pow.f64 (pow.f64 N -1) 2) (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)))
29.9b
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (+.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))
61.1b
N
Compiler

Compiled 484 to 326 computations (32.6% saved)

localize25.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (log1p.f64 N) (log.f64 N))
✓3.4b
(-.f64 1 (+.f64 1 (*.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))))
3.5b
(-.f64 (log1p.f64 N) (log.f64 N))
3.5b
(-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))
Compiler

Compiled 94 to 37 computations (60.6% saved)

series8.0ms (0%)

Counts
1 → 11
Calls

3 calls:

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

Compiled 810 to 645 computations (20.4% saved)

rewrite1.5s (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
136×egg-rr
Counts
1 → 136
Calls
Call 1
Inputs
(-.f64 1 (+.f64 1 (*.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))))
Outputs
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N))) 1) 1)) 3)) (+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) -1) (pow.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) -1)) (+.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3) (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1)) (/.f64 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3) (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1))) (*.f64 (pow.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 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simplify3.5s (4.1%)

Algorithm
1×egglog
Counts
147 → 191
Calls
Call 1
Inputs
(+.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 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 N) 4)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N))))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
(*.f64 (neg.f64 (log.f64 N)) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3) -1) (/.f64 1 (neg.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1))))
(*.f64 (pow.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) -1) (-.f64 1 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3)))
(*.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (log.f64 N)))
(*.f64 (neg.f64 (cbrt.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 N)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 2))) (cbrt.f64 (*.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))))
(*.f64 (*.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (log.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 N))))
(*.f64 (*.f64 (log.f64 N) (cbrt.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 2))))
(*.f64 (cbrt.f64 (log.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 2))))
(*.f64 (+.f64 1 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 2)) (cbrt.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1)))) (-.f64 1 (cbrt.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1))))
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(if (!=.f64 (+.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N) -1)) (neg.f64 (fma.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N) -1))) (+.f64 1 (neg.f64 (fma.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N) -1)))) 0) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
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(if (!=.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 0) (/.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 3) (+.f64 0 (-.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 2) (*.f64 0 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))))) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(if (!=.f64 (neg.f64 (fma.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N) -1)) 0) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(if (!=.f64 (pow.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) -1) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) -1) 3) (pow.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3) (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1)) 3)) (+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) -1) (pow.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) -1)) (+.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3) (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1)) (/.f64 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3) (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1))) (*.f64 (pow.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) -1) (/.f64 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3) (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1)))))) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(if (!=.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))) 2) (*.f64 (+.f64 -2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1)))) 0) (*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3)) (+.f64 1 (pow.f64 (*.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))) 3))) (+.f64 1 (+.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))) 2) (*.f64 (+.f64 -2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1))))) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(+.f64 (pow.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) -1) (neg.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3) (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1))))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) -1))
(+.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (neg.f64 (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (log.f64 N))))
(+.f64 (*.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (log.f64 N))) (neg.f64 (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 -1 (*.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))))
(+.f64 (*.f64 (log.f64 N) (/.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N)))) (neg.f64 (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (neg.f64 (*.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))))
(+.f64 -1 (*.f64 (fma.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N) -1) -1))
(+.f64 -1 (neg.f64 (fma.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N) -1)))
(+.f64 0 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(+.f64 (neg.f64 (fma.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N) -1)) -1)
(+.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 0)
(+.f64 1 (-.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 1))
(+.f64 (-.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 1) 1)
Outputs
(+.f64 N (*.f64 -1 (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 (-.f64 (/.f64 (*.f64 N N) -2) (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 (-.f64 (fma.f64 1/3 (pow.f64 N 3) (/.f64 (*.f64 N N) -2)) (log.f64 N)))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 1 (*.f64 N N)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 1 (*.f64 N N)) (/.f64 1 N)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 N) 4)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N))))
(fma.f64 -1/2 (/.f64 1 (*.f64 N N)) (fma.f64 -1/4 (pow.f64 (/.f64 -1 N) 4) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 1 (*.f64 N N)) (/.f64 1 N))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(fma.f64 -1/3 (pow.f64 (/.f64 -1 N) 3) (fma.f64 -1/2 (/.f64 1 (*.f64 N N)) (/.f64 1 N)))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
(fma.f64 -1/3 (pow.f64 (/.f64 -1 N) 3) (+.f64 (fma.f64 -1/2 (/.f64 1 (*.f64 N N)) (/.f64 1 N)) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4))))
(*.f64 (neg.f64 (log.f64 N)) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(*.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3) -1) (/.f64 1 (neg.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1))))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(*.f64 (pow.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) -1) (-.f64 1 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3)))
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(if (!=.f64 (pow.f64 (fma.f64 (-.f64 2 (*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) -1) 0) (/.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 2 (*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) 3)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3) (fma.f64 (-.f64 2 (*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1)) 3)) (+.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 2 (*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) 2)) (*.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3) (fma.f64 (-.f64 2 (*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1)) (/.f64 (-.f64 1 (pow.f64 (fma.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N) -1) 3)) (fma.f64 (-.f64 2 (*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1))))) (*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N)))
(if (!=.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))) 2) (*.f64 (+.f64 -2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1)))) 0) (*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3)) (+.f64 1 (pow.f64 (*.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))) 3))) (+.f64 1 (+.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))) 2) (*.f64 (+.f64 -2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1))))) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(if (!=.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) (-.f64 2 (*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N)))) 2) (+.f64 (*.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) (-.f64 (*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N)) 2)) 1)) 0) (*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3)) (-.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) (-.f64 2 (*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N)))) 3) -1)) (+.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) (-.f64 2 (*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N)))) 2) (+.f64 (*.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) (-.f64 (*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N)) 2)) 1))) (*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N)))
(+.f64 (pow.f64 (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1) -1) (neg.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 3) (fma.f64 (-.f64 2 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))) (fma.f64 (log.f64 N) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) 1) 1))))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) -1))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 (*.f64 (/.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (neg.f64 (log.f64 N)))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (log.f64 N))))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 (*.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (log.f64 N))) (neg.f64 (log.f64 N)))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 -1 (*.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 (*.f64 (log.f64 N) (/.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (log.f64 N)))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N)))) (neg.f64 (log.f64 N)))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (neg.f64 (*.f64 (neg.f64 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N))))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 -1 (*.f64 (fma.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N) -1) -1))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 -1 (neg.f64 (fma.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N) -1)))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 0 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 (neg.f64 (fma.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N) -1)) -1)
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 0)
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 1 (-.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 1))
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))
(+.f64 (-.f64 (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) 1) 1)
(*.f64 (-.f64 (/.f64 (log1p.f64 N) (log.f64 N)) 1) (log.f64 N))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓14.0b
(/.f64 (-.f64 N 1/2) (*.f64 N N))
Compiler

Compiled 16 to 8 computations (50% saved)

series6.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

Compiled 530 to 425 computations (19.8% saved)

rewrite1.5s (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
322×egg-rr
Counts
1 → 322
Calls
Call 1
Inputs
(/.f64 (-.f64 N 1/2) (*.f64 N N))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 -1/2 N)) N) (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 N 3) -1/8) (/.f64 1 (*.f64 (pow.f64 N 2) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) N) (/.f64 (cbrt.f64 (+.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/2 N)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)) (/.f64 (+.f64 -1/2 N) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 N 2) (+.f64 -1/2 N)) (/.f64 1 (pow.f64 (pow.f64 N 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1/2 N) (cbrt.f64 (pow.f64 N 2))) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 N 3) -1/8) (pow.f64 N 2)) (/.f64 -1 (-.f64 -1/4 (*.f64 N (+.f64 1/2 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) (pow.f64 N 2)) (cbrt.f64 (+.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1/2 N) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N (cbrt.f64 N))) (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 N 2) -1) (+.f64 -1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/2 N) 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-1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (/.f64 N (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 0 (pow.f64 N 2))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 0 (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 N (pow.f64 N 2)) (/.f64 0 (neg.f64 (pow.f64 N 2)))) (/.f64 -1/2 (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (+.f64 -1/2 N) N) N))))))

simplify4.6s (5.4%)

Algorithm
1×egglog
Counts
334 → 427
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 N -2))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1/2 N)) N) (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) N))
(*.f64 (+.f64 (pow.f64 N 3) -1/8) (/.f64 1 (*.f64 (pow.f64 N 2) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) N) (/.f64 (cbrt.f64 (+.f64 -1/2 N)) N))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N)))
(*.f64 (cbrt.f64 (+.f64 -1/2 N)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) (pow.f64 N 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)) (/.f64 (+.f64 -1/2 N) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(*.f64 (*.f64 (pow.f64 N 2) (+.f64 -1/2 N)) (/.f64 1 (pow.f64 (pow.f64 N 2) 2)))
(*.f64 (/.f64 (+.f64 -1/2 N) (cbrt.f64 (pow.f64 N 2))) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 N 3) -1/8) (pow.f64 N 2)) (/.f64 -1 (-.f64 -1/4 (*.f64 N (+.f64 1/2 N)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) (pow.f64 N 2)) (cbrt.f64 (+.f64 -1/2 N)))
(*.f64 (/.f64 (+.f64 -1/2 N) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)))
(*.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N (cbrt.f64 N))) (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)))
(*.f64 (pow.f64 (pow.f64 N 2) -1) (+.f64 -1/2 N))
(*.f64 (+.f64 -1/2 N) (pow.f64 (pow.f64 N 2) -1))
(*.f64 -1 (/.f64 (-.f64 1/2 N) (pow.f64 N 2)))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 N (pow.f64 N 2)) 2)) (+.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (pow.f64 N 2) 2))) (*.f64 (cbrt.f64 (/.f64 N (pow.f64 N 2))) (cbrt.f64 (/.f64 1/2 (pow.f64 N 2)))))) (-.f64 (cbrt.f64 (/.f64 N (pow.f64 N 2))) (cbrt.f64 (/.f64 1/2 (pow.f64 N 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (/.f64 (+.f64 -1/2 N) (cbrt.f64 (pow.f64 N 2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)) (+.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))))
(*.f64 (/.f64 (-.f64 1/2 N) N) (/.f64 1 (neg.f64 N)))
(*.f64 (-.f64 1/2 N) (/.f64 -1 (pow.f64 N 2)))
(*.f64 (/.f64 (+.f64 -1/2 N) N) (pow.f64 N -1))
(*.f64 (/.f64 -1 (pow.f64 N 2)) (-.f64 1/2 N))
(*.f64 (pow.f64 N -1) (/.f64 (+.f64 -1/2 N) N))
(*.f64 1 (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(*.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N) 1)
(-.f64 (/.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 2) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4))) (/.f64 1/8 (*.f64 (pow.f64 N 2) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4))))
(-.f64 (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2)) (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2)))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 N (neg.f64 (pow.f64 N 2))))
(-.f64 (/.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 2) 2)) (/.f64 (*.f64 1/2 (pow.f64 N 2)) (pow.f64 (pow.f64 N 2) 2)))
(-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 (-.f64 1/2 N) (pow.f64 N 2)))
(-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 (-.f64 1/2 N) (pow.f64 N 2)))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1))) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 N (pow.f64 N 2)))) (cbrt.f64 (pow.f64 (/.f64 N (pow.f64 N 2)) 2))))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 N (neg.f64 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 N) (pow.f64 (pow.f64 N 2) -1)))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (/.f64 (cbrt.f64 N) N)) (/.f64 (cbrt.f64 (pow.f64 N 2)) N)))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (cbrt.f64 N)) (/.f64 (cbrt.f64 (pow.f64 N 2)) (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (pow.f64 N -1)) (/.f64 N N)))
(-.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1))) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))))
(-.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 N (pow.f64 N 2)))) (cbrt.f64 (pow.f64 (/.f64 N (pow.f64 N 2)) 2))))
(-.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (/.f64 N (neg.f64 (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 N) (pow.f64 (pow.f64 N 2) -1)))
(-.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (/.f64 (cbrt.f64 N) N)) (/.f64 (cbrt.f64 (pow.f64 N 2)) N)))
(-.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (cbrt.f64 N)) (/.f64 (cbrt.f64 (pow.f64 N 2)) (pow.f64 N 2))))
(-.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (pow.f64 N -1)) (/.f64 N N)))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1))) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (*.f64 (neg.f64 (cbrt.f64 (/.f64 N (pow.f64 N 2)))) (cbrt.f64 (pow.f64 (/.f64 N (pow.f64 N 2)) 2))))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (*.f64 (neg.f64 N) (pow.f64 (pow.f64 N 2) -1)))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (*.f64 (neg.f64 (/.f64 (cbrt.f64 N) N)) (/.f64 (cbrt.f64 (pow.f64 N 2)) N)))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (*.f64 (neg.f64 (cbrt.f64 N)) (/.f64 (cbrt.f64 (pow.f64 N 2)) (pow.f64 N 2))))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (*.f64 (neg.f64 (pow.f64 N -1)) (/.f64 N N)))
(-.f64 (*.f64 (pow.f64 (pow.f64 N 2) -1) -1/2) (/.f64 N (neg.f64 (pow.f64 N 2))))
(-.f64 (/.f64 N (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 0 (/.f64 (-.f64 1/2 N) (pow.f64 N 2)))
(-.f64 0 (+.f64 0 (/.f64 (-.f64 1/2 N) (pow.f64 N 2))))
(-.f64 3 (+.f64 3 (/.f64 (-.f64 1/2 N) (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 N (pow.f64 N 2)) 0) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 1 (+.f64 1 (/.f64 (-.f64 1/2 N) (pow.f64 N 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) (pow.f64 N -1)) (*.f64 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4) N))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N) 2))) (cbrt.f64 N))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) -1/8)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) (pow.f64 N 2))) (cbrt.f64 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)))
(/.f64 (*.f64 (pow.f64 N -1) (+.f64 (pow.f64 N 3) -1/8)) (*.f64 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4) N))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N) 2)) (cbrt.f64 (/.f64 (+.f64 -1/2 N) N))) (cbrt.f64 N))
(/.f64 (+.f64 (pow.f64 N 3) -1/8) (*.f64 N (*.f64 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4) N)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 N) N)) (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2))) (*.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)) (+.f64 (pow.f64 N 3) -1/8)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)) (-.f64 1/8 (pow.f64 N 3))) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) (-.f64 -1/4 (*.f64 N (+.f64 1/2 N)))))
(/.f64 (*.f64 (pow.f64 N -1) (-.f64 1/8 (pow.f64 N 3))) (*.f64 N (-.f64 -1/4 (*.f64 N (+.f64 1/2 N)))))
(/.f64 (+.f64 (pow.f64 N 3) -1/8) (*.f64 (neg.f64 (pow.f64 N 2)) (-.f64 -1/4 (*.f64 N (+.f64 1/2 N)))))
(/.f64 (+.f64 (pow.f64 N 3) -1/8) (*.f64 (*.f64 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4) N) N))
(/.f64 (/.f64 (+.f64 -1/2 N) (cbrt.f64 N)) (*.f64 (cbrt.f64 (pow.f64 N 2)) N))
(/.f64 (+.f64 (pow.f64 N 3) -1/8) (*.f64 (pow.f64 N 2) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) (cbrt.f64 (pow.f64 (pow.f64 N 2) -1))) (*.f64 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) -1) (*.f64 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4) (neg.f64 (pow.f64 N 2))))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 N 3)) (cbrt.f64 (pow.f64 (pow.f64 N 2) -1))) (*.f64 (-.f64 -1/4 (*.f64 N (+.f64 1/2 N))) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 N 3)) (pow.f64 N -1)) (*.f64 (-.f64 -1/4 (*.f64 N (+.f64 1/2 N))) N))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 N 3)) -1) (*.f64 (-.f64 -1/4 (*.f64 N (+.f64 1/2 N))) (neg.f64 (pow.f64 N 2))))
(/.f64 (-.f64 1/8 (pow.f64 N 3)) (*.f64 (-.f64 -1/4 (*.f64 N (+.f64 1/2 N))) (pow.f64 N 2)))
(/.f64 (*.f64 (neg.f64 N) (-.f64 (*.f64 (pow.f64 N 2) 2) N)) (*.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (*.f64 (neg.f64 (pow.f64 N 2)) (/.f64 (+.f64 -1/2 N) N)) (*.f64 (neg.f64 (pow.f64 N 2)) N))
(/.f64 (*.f64 (pow.f64 N 2) (-.f64 1/2 N)) (*.f64 (neg.f64 (pow.f64 N 2)) (pow.f64 N 2)))
(/.f64 (-.f64 (*.f64 (neg.f64 N) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (*.f64 (neg.f64 (pow.f64 N 2)) (/.f64 1/2 (cbrt.f64 (pow.f64 N 2))))) (*.f64 (neg.f64 (pow.f64 N 2)) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 (*.f64 N (-.f64 (*.f64 (pow.f64 N 2) 2) N)) (*.f64 (pow.f64 N 2) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (*.f64 N (neg.f64 (pow.f64 N 2))) (*.f64 (pow.f64 N 2) -1/2)) (neg.f64 (pow.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (*.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (*.f64 (pow.f64 N 2) (/.f64 1/2 (cbrt.f64 (pow.f64 N 2))))) (*.f64 (pow.f64 N 2) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 (-.f64 (*.f64 (/.f64 N (cbrt.f64 (pow.f64 N 2))) (*.f64 (pow.f64 N 2) 2)) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (*.f64 (/.f64 N (cbrt.f64 (pow.f64 N 2))) (neg.f64 (pow.f64 N 2))) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) (neg.f64 (pow.f64 N 2))))
(/.f64 (-.f64 (*.f64 (/.f64 N (cbrt.f64 (pow.f64 N 2))) N) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) (/.f64 1/2 N))) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) N))
(/.f64 (-.f64 (*.f64 (/.f64 N (cbrt.f64 (pow.f64 N 2))) (pow.f64 N 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) 1/2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) (pow.f64 N 2)))
(/.f64 (-.f64 (*.f64 (/.f64 N N) (*.f64 (pow.f64 N 2) 2)) N) (*.f64 N (*.f64 (pow.f64 N 2) 2)))
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(if (!=.f64 (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2)) 3) (pow.f64 (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2)) 3)) (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2)) (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2))) (+.f64 (*.f64 (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2)) (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2))) (*.f64 (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2)) (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2)))))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(if (!=.f64 (neg.f64 (/.f64 (+.f64 1/2 N) (pow.f64 N 2))) 0) (/.f64 (/.f64 (fma.f64 N N -1/4) (pow.f64 (pow.f64 N 2) 2)) (/.f64 (+.f64 1/2 N) (pow.f64 N 2))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(+.f64 (/.f64 N (pow.f64 N 2)) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 N (pow.f64 N 2)))
(+.f64 (*.f64 (pow.f64 (pow.f64 N 2) -1) -1/2) (/.f64 N (pow.f64 N 2)))
(+.f64 (/.f64 N (pow.f64 N 2)) (*.f64 (pow.f64 (pow.f64 N 2) -1) -1/2))
(+.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(+.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(+.f64 (/.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 2) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4))) (neg.f64 (/.f64 1/8 (*.f64 (pow.f64 N 2) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)))))
(+.f64 (/.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 2) 2)) (neg.f64 (/.f64 (*.f64 1/2 (pow.f64 N 2)) (pow.f64 (pow.f64 N 2) 2))))
(+.f64 (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2)) (neg.f64 (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1))) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (/.f64 N (pow.f64 N 2)))) (cbrt.f64 (pow.f64 (/.f64 N (pow.f64 N 2)) 2)))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (*.f64 (neg.f64 N) (pow.f64 (pow.f64 N 2) -1))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (*.f64 (neg.f64 (/.f64 (cbrt.f64 N) N)) (/.f64 (cbrt.f64 (pow.f64 N 2)) N))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 N)) (/.f64 (cbrt.f64 (pow.f64 N 2)) (pow.f64 N 2)))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (*.f64 (neg.f64 (pow.f64 N -1)) (/.f64 N N))))
(+.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 0 (pow.f64 N 2))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(+.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 0 (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(+.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2))))
(+.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 N (neg.f64 (pow.f64 N 2)))) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 N (pow.f64 N 2)))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 0 (pow.f64 N 2))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 0 (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2))))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 N (neg.f64 (pow.f64 N 2)))) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (/.f64 N (pow.f64 N 2)))
(+.f64 (-.f64 0 (/.f64 0 (pow.f64 N 2))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(+.f64 (-.f64 0 (/.f64 0 (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(+.f64 (-.f64 0 (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2))))
(+.f64 (-.f64 (/.f64 N (pow.f64 N 2)) (/.f64 0 (neg.f64 (pow.f64 N 2)))) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 0 (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
Outputs
(*.f64 -1/2 (pow.f64 N -2))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1))
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1/2 N)) N) (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) N))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 N 1/2) 2) (-.f64 N 1/2))) (pow.f64 N 2))
(*.f64 (+.f64 (pow.f64 N 3) -1/8) (/.f64 1 (*.f64 (pow.f64 N 2) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) 1/8) N) (*.f64 (fma.f64 N (-.f64 N -1/2) 1/4) N))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) N) (/.f64 (cbrt.f64 (+.f64 -1/2 N)) N))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 N 1/2) 2) (-.f64 N 1/2))) (pow.f64 N 2))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N) 2)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(*.f64 (cbrt.f64 (+.f64 -1/2 N)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) (pow.f64 N 2)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 N 1/2) 2) (-.f64 N 1/2))) (pow.f64 N 2))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)) (/.f64 (+.f64 -1/2 N) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)) (/.f64 (-.f64 N 1/2) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(*.f64 (*.f64 (pow.f64 N 2) (+.f64 -1/2 N)) (/.f64 1 (pow.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(*.f64 (/.f64 (+.f64 -1/2 N) (cbrt.f64 (pow.f64 N 2))) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 (-.f64 N 1/2) (cbrt.f64 (pow.f64 (pow.f64 N 3) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 N 3) -1/8) (pow.f64 N 2)) (/.f64 -1 (-.f64 -1/4 (*.f64 N (+.f64 1/2 N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) 1/8) N) (*.f64 (fma.f64 N (-.f64 N -1/2) 1/4) N))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) (pow.f64 N 2)) (cbrt.f64 (+.f64 -1/2 N)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 N 1/2) 2) (-.f64 N 1/2))) (pow.f64 N 2))
(*.f64 (/.f64 (+.f64 -1/2 N) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)) (/.f64 (-.f64 N 1/2) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(*.f64 (/.f64 (+.f64 -1/2 N) (*.f64 N (cbrt.f64 N))) (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)))
(*.f64 (/.f64 (-.f64 N 1/2) (*.f64 (cbrt.f64 N) N)) (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)))
(*.f64 (pow.f64 (pow.f64 N 2) -1) (+.f64 -1/2 N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(*.f64 (+.f64 -1/2 N) (pow.f64 (pow.f64 N 2) -1))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(*.f64 -1 (/.f64 (-.f64 1/2 N) (pow.f64 N 2)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 N (pow.f64 N 2)) 2)) (+.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (pow.f64 N 2) 2))) (*.f64 (cbrt.f64 (/.f64 N (pow.f64 N 2))) (cbrt.f64 (/.f64 1/2 (pow.f64 N 2)))))) (-.f64 (cbrt.f64 (/.f64 N (pow.f64 N 2))) (cbrt.f64 (/.f64 1/2 (pow.f64 N 2)))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 N (pow.f64 N 2)) 2)) (+.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (pow.f64 N 2) 2))) (cbrt.f64 (/.f64 (*.f64 1/2 N) (pow.f64 (pow.f64 N 2) 2))))) (/.f64 (-.f64 (cbrt.f64 N) (cbrt.f64 1/2)) (cbrt.f64 (pow.f64 N 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (/.f64 (+.f64 -1/2 N) (cbrt.f64 (pow.f64 N 2))))
(/.f64 (-.f64 N 1/2) (cbrt.f64 (pow.f64 (pow.f64 N 3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)) (+.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)) (/.f64 (-.f64 N 1/2) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(*.f64 (/.f64 (-.f64 1/2 N) N) (/.f64 1 (neg.f64 N)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(*.f64 (-.f64 1/2 N) (/.f64 -1 (pow.f64 N 2)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(*.f64 (/.f64 (+.f64 -1/2 N) N) (pow.f64 N -1))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(*.f64 (/.f64 -1 (pow.f64 N 2)) (-.f64 1/2 N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(*.f64 (pow.f64 N -1) (/.f64 (+.f64 -1/2 N) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(*.f64 1 (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(*.f64 (/.f64 (/.f64 (+.f64 -1/2 N) N) N) 1)
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(-.f64 (/.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 2) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4))) (/.f64 1/8 (*.f64 (pow.f64 N 2) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) 1/8) N) (*.f64 (fma.f64 N (-.f64 N -1/2) 1/4) N))
(-.f64 (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2)) (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) 1/8) N) (*.f64 (fma.f64 N (-.f64 N -1/2) 1/4) N))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 N (neg.f64 (pow.f64 N 2))))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(-.f64 (/.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 2) 2)) (/.f64 (*.f64 1/2 (pow.f64 N 2)) (pow.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 (-.f64 1/2 N) (pow.f64 N 2)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 (-.f64 1/2 N) (pow.f64 N 2)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1))) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 N (pow.f64 N 2)))) (cbrt.f64 (pow.f64 (/.f64 N (pow.f64 N 2)) 2))))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 N (neg.f64 (pow.f64 N 2))))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 N) (pow.f64 (pow.f64 N 2) -1)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (/.f64 (cbrt.f64 N) N)) (/.f64 (cbrt.f64 (pow.f64 N 2)) N)))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 N 3)) N)) N))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (cbrt.f64 N)) (/.f64 (cbrt.f64 (pow.f64 N 2)) (pow.f64 N 2))))
(/.f64 (-.f64 -1/2 (neg.f64 (cbrt.f64 (pow.f64 N 3)))) (pow.f64 N 2))
(-.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (pow.f64 N -1)) (/.f64 N N)))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 (/.f64 (neg.f64 N) N) N))
(-.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1))) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 N (pow.f64 N 2)))) (cbrt.f64 (pow.f64 (/.f64 N (pow.f64 N 2)) 2))))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(-.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (/.f64 N (neg.f64 (pow.f64 N 2))))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
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(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (/.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 2) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4))) (neg.f64 (/.f64 1/8 (*.f64 (pow.f64 N 2) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) 1/8) N) (*.f64 (fma.f64 N (-.f64 N -1/2) 1/4) N))
(+.f64 (/.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 2) 2)) (neg.f64 (/.f64 (*.f64 1/2 (pow.f64 N 2)) (pow.f64 (pow.f64 N 2) 2))))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2)) (neg.f64 (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (pow.f64 N 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) 1/8) N) (*.f64 (fma.f64 N (-.f64 N -1/2) 1/4) N))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1))) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) -1)) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (/.f64 N (pow.f64 N 2)))) (cbrt.f64 (pow.f64 (/.f64 N (pow.f64 N 2)) 2)))))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (*.f64 (neg.f64 N) (pow.f64 (pow.f64 N 2) -1))))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (*.f64 (neg.f64 (/.f64 (cbrt.f64 N) N)) (/.f64 (cbrt.f64 (pow.f64 N 2)) N))))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 N 3)) N)) N))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 N)) (/.f64 (cbrt.f64 (pow.f64 N 2)) (pow.f64 N 2)))))
(/.f64 (-.f64 -1/2 (neg.f64 (cbrt.f64 (pow.f64 N 3)))) (pow.f64 N 2))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (neg.f64 (*.f64 (neg.f64 (pow.f64 N -1)) (/.f64 N N))))
(-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 (/.f64 (neg.f64 N) N) N))
(+.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 0 (pow.f64 N 2))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 0 (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) 1/8) N) (*.f64 (fma.f64 N (-.f64 N -1/2) 1/4) N))
(+.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 N (neg.f64 (pow.f64 N 2)))) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (-.f64 (/.f64 0 (pow.f64 N 2)) (/.f64 1/2 (pow.f64 N 2))) (/.f64 N (pow.f64 N 2)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 0 (pow.f64 N 2))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 0 (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) 1/8) N) (*.f64 (fma.f64 N (-.f64 N -1/2) 1/4) N))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 N (neg.f64 (pow.f64 N 2)))) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (pow.f64 N 2))) (/.f64 1/2 (pow.f64 N 2))) (/.f64 N (pow.f64 N 2)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (-.f64 0 (/.f64 0 (pow.f64 N 2))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (-.f64 0 (/.f64 0 (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 (-.f64 0 (/.f64 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2)))) (/.f64 (/.f64 1/8 (-.f64 (*.f64 N (+.f64 1/2 N)) -1/4)) (neg.f64 (pow.f64 N 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 N 3) 1/8) N) (*.f64 (fma.f64 N (-.f64 N -1/2) 1/4) N))
(+.f64 (-.f64 (/.f64 N (pow.f64 N 2)) (/.f64 0 (neg.f64 (pow.f64 N 2)))) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(+.f64 0 (/.f64 (/.f64 (+.f64 -1/2 N) N) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 N -1)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
N
@0
(pow.f64 N -1)
0.0ms
N
@-inf
(pow.f64 N -1)
0.0ms
N
@inf
(pow.f64 N -1)
Compiler

Compiled 190 to 130 computations (31.6% saved)

rewrite1.5s (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
83×egg-rr
Counts
1 → 83
Calls
Call 1
Inputs
(pow.f64 N -1)
Outputs
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N -1) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (pow.f64 N -1) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (pow.f64 N -1) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 N 3) 0) (pow.f64 (pow.f64 N 3) -1/3) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 N) 0) (pow.f64 (cbrt.f64 N) -3) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 N -1)) 0) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 N 2) (pow.f64 N -1)))) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) 0) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) (/.f64 (pow.f64 N 2) (/.f64 1 (cbrt.f64 (pow.f64 N 2)))))) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 N -1)) 0) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 N -1)) -3) -1) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 1 (pow.f64 N 3)) 0) (pow.f64 (pow.f64 (/.f64 1 (pow.f64 N 3)) -1/3) -1) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 N -1) 0) (/.f64 1 (pow.f64 (pow.f64 N -1) -1)) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 -1 N) 0) (/.f64 (-.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (/.f64 1 (pow.f64 N 2))) (/.f64 -1 N)) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 -1 N) 0) (/.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 -1 N)) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 -1 N) 0) (/.f64 (-.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (/.f64 1 (pow.f64 N 2))) (/.f64 -1 N)) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 -1 N) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 N) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 N) (/.f64 -1 N))))) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 -1 N) 0) (/.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 0 (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 0 (/.f64 -1 N))))) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 -1 N) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N))))) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 N) (/.f64 -1 N)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 N) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 N) (/.f64 -1 N))))) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 0 (/.f64 -1 N)))) 0) (/.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 0 (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 0 (/.f64 -1 N))))) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N))))) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 0 N) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 N) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 N) (/.f64 -1 N))))) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 0 (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 0 (/.f64 -1 N))))) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 0 (neg.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N))))) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 N) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (neg.f64 N)) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 N -1))))))

simplify2.5s (3%)

Algorithm
1×egglog
Counts
95 → 101
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(*.f64 (cbrt.f64 (pow.f64 N -1)) (/.f64 1 (cbrt.f64 (pow.f64 N 2))))
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N)) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 2)) N))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 (pow.f64 N -1)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) (cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (pow.f64 N 2))) 2) N)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 2)) N))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (pow.f64 N 2))) 2) N)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 2)) N))) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) (pow.f64 N 2))))
(*.f64 (/.f64 -1 (cbrt.f64 N)) (/.f64 -1 (cbrt.f64 (pow.f64 N 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 N -1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) 2) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 2)) N))))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 N 2))) (/.f64 -1 (cbrt.f64 N)))
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) (pow.f64 N 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 2)) N))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) 2))
(*.f64 1 (pow.f64 N -1))
(*.f64 (pow.f64 N -1) 1)
(*.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N) 2))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 (pow.f64 N 2)) (cbrt.f64 N))) (cbrt.f64 (/.f64 -1 (cbrt.f64 (pow.f64 N 2)))))
(*.f64 (+.f64 0 (+.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 2))) (*.f64 0 (/.f64 -1 (cbrt.f64 N))))) (cbrt.f64 (pow.f64 N -1)))
(*.f64 -1 (/.f64 -1 N))
(*.f64 (/.f64 -1 N) -1)
(-.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N))
(-.f64 (/.f64 0 N) (/.f64 -1 N))
(-.f64 0 (/.f64 -1 N))
(/.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) (pow.f64 N 2))) (cbrt.f64 (cbrt.f64 (pow.f64 N 2))))
(/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 N))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 (cbrt.f64 (pow.f64 N 2)))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 N))
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 N) N) 2)))
(/.f64 (cbrt.f64 (pow.f64 N -1)) (cbrt.f64 (pow.f64 N 2)))
(/.f64 (pow.f64 N -1) 1)
(/.f64 (cbrt.f64 (/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 N 2))) N)) (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 2)) N))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 1 N)
(/.f64 -1 (neg.f64 N))
(/.f64 (/.f64 -1 N) -1)
(/.f64 (/.f64 -1 (cbrt.f64 N)) (pow.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N 2)))) 3))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) N)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 -1 (pow.f64 N 2)) (cbrt.f64 N))) (cbrt.f64 (neg.f64 (cbrt.f64 (pow.f64 N 2)))))
(/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 N))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (cbrt.f64 N) N) 2))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) (cbrt.f64 (*.f64 (cbrt.f64 N) (pow.f64 N 2))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) (cbrt.f64 (*.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N) 2)) (cbrt.f64 (cbrt.f64 N)))
(/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 N))) (cbrt.f64 (*.f64 N (*.f64 (cbrt.f64 (pow.f64 N 2)) (neg.f64 N)))))
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) (cbrt.f64 (*.f64 N (*.f64 (cbrt.f64 (pow.f64 N 2)) N))))
(/.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 N 2)) N)))) (cbrt.f64 (*.f64 (pow.f64 N 2) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))))
(/.f64 (/.f64 -1 (cbrt.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 N 2))))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 N 2))) (neg.f64 (cbrt.f64 N)))
(/.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N)) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 N 2)) N)))
(pow.f64 (pow.f64 N -1) 1)
(pow.f64 (cbrt.f64 (pow.f64 N -1)) 3)
(pow.f64 N -1)
(pow.f64 (/.f64 1 (pow.f64 N 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 N 3)))
(neg.f64 (/.f64 -1 N))
(neg.f64 (-.f64 (/.f64 -1 N) (/.f64 0 N)))
(neg.f64 (-.f64 (/.f64 -1 N) 0))
(neg.f64 (-.f64 (/.f64 -1 N) (/.f64 0 (neg.f64 N))))
(if (!=.f64 N 0) (pow.f64 N -1) (pow.f64 N -1))
(if (!=.f64 -1 0) (pow.f64 N -1) (pow.f64 N -1))
(if (!=.f64 1 0) (pow.f64 N -1) (pow.f64 N -1))
(if (!=.f64 (pow.f64 N 3) 0) (pow.f64 (pow.f64 N 3) -1/3) (pow.f64 N -1))
(if (!=.f64 (cbrt.f64 N) 0) (pow.f64 (cbrt.f64 N) -3) (pow.f64 N -1))
(if (!=.f64 (cbrt.f64 (pow.f64 N -1)) 0) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 N 2) (pow.f64 N -1)))) (pow.f64 N -1))
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) 0) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) (/.f64 (pow.f64 N 2) (/.f64 1 (cbrt.f64 (pow.f64 N 2)))))) (pow.f64 N -1))
(if (!=.f64 (cbrt.f64 (pow.f64 N -1)) 0) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 N -1)) -3) -1) (pow.f64 N -1))
(if (!=.f64 (/.f64 1 (pow.f64 N 3)) 0) (pow.f64 (pow.f64 (/.f64 1 (pow.f64 N 3)) -1/3) -1) (pow.f64 N -1))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 1 (pow.f64 (pow.f64 N -1) -1)) (pow.f64 N -1))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 (-.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (/.f64 1 (pow.f64 N 2))) (/.f64 -1 N)) (pow.f64 N -1))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 -1 N)) (pow.f64 N -1))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 (-.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (/.f64 1 (pow.f64 N 2))) (/.f64 -1 N)) (pow.f64 N -1))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 N) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 N) (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 0 (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 0 (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 N) (/.f64 -1 N)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 N) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 N) (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 (+.f64 0 (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 0 (/.f64 -1 N)))) 0) (/.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 0 (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 0 (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 (/.f64 0 N) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 N) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 N) (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 0 0) (/.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 0 (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 0 (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 (/.f64 0 (neg.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N))))) (pow.f64 N -1))
(+.f64 (/.f64 0 N) (pow.f64 N -1))
(+.f64 (/.f64 0 (neg.f64 N)) (pow.f64 N -1))
(+.f64 0 (pow.f64 N -1))
Outputs
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(*.f64 (cbrt.f64 (pow.f64 N -1)) (/.f64 1 (cbrt.f64 (pow.f64 N 2))))
(/.f64 1 N)
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N)) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 2)) N))))
(/.f64 1 N)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 (pow.f64 N -1)))
(/.f64 1 N)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) (cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (pow.f64 N 2))) 2) N)))
(/.f64 (pow.f64 (/.f64 1 (cbrt.f64 N)) 2) (cbrt.f64 N))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 2)) N))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))))
(/.f64 1 N)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (pow.f64 N 2))) 2) N)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2))
(/.f64 (pow.f64 (/.f64 1 (cbrt.f64 N)) 2) (cbrt.f64 N))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 2)) N))) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N)))
(/.f64 1 N)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) (pow.f64 N 2))))
(/.f64 1 N)
(*.f64 (/.f64 -1 (cbrt.f64 N)) (/.f64 -1 (cbrt.f64 (pow.f64 N 2))))
(/.f64 1 N)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 N -1))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 1 (cbrt.f64 N)) N) 2) (cbrt.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) 2) (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 2)) N))))
(cbrt.f64 (*.f64 (/.f64 (/.f64 (cbrt.f64 N) N) N) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 N)) 2) 2)))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 N 2))) (/.f64 -1 (cbrt.f64 N)))
(/.f64 1 N)
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) (pow.f64 N 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2))
(/.f64 1 N)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N) 2)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 1 (cbrt.f64 N)) N) 2) (cbrt.f64 N)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 2)) N))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) 2))
(cbrt.f64 (*.f64 (/.f64 (/.f64 (cbrt.f64 N) N) N) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 N)) 2) 2)))
(*.f64 1 (pow.f64 N -1))
(/.f64 1 N)
(*.f64 (pow.f64 N -1) 1)
(/.f64 1 N)
(*.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 N))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N) 2))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 1 (cbrt.f64 N)) N) 2) (cbrt.f64 N)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 (pow.f64 N 2)) (cbrt.f64 N))) (cbrt.f64 (/.f64 -1 (cbrt.f64 (pow.f64 N 2)))))
(/.f64 1 N)
(*.f64 (+.f64 0 (+.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 2))) (*.f64 0 (/.f64 -1 (cbrt.f64 N))))) (cbrt.f64 (pow.f64 N -1)))
(/.f64 1 N)
(*.f64 -1 (/.f64 -1 N))
(/.f64 1 N)
(*.f64 (/.f64 -1 N) -1)
(/.f64 1 N)
(-.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N))
(/.f64 1 N)
(-.f64 (/.f64 0 N) (/.f64 -1 N))
(/.f64 1 N)
(-.f64 0 (/.f64 -1 N))
(/.f64 1 N)
(/.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) (pow.f64 N 2))) (cbrt.f64 (cbrt.f64 (pow.f64 N 2))))
(/.f64 1 N)
(/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 N))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 (cbrt.f64 (pow.f64 N 2)))))
(/.f64 1 N)
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 N))
(/.f64 1 N)
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 N) N) 2)))
(/.f64 1 N)
(/.f64 (cbrt.f64 (pow.f64 N -1)) (cbrt.f64 (pow.f64 N 2)))
(/.f64 1 N)
(/.f64 (pow.f64 N -1) 1)
(/.f64 1 N)
(/.f64 (cbrt.f64 (/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 N 2))) N)) (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))))
(/.f64 1 N)
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 N 2)) N))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))
(/.f64 1 N)
(/.f64 1 N)
(/.f64 -1 (neg.f64 N))
(/.f64 1 N)
(/.f64 (/.f64 -1 N) -1)
(/.f64 1 N)
(/.f64 (/.f64 -1 (cbrt.f64 N)) (pow.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N 2)))) 3))
(/.f64 1 N)
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) N)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 N)) 2) (*.f64 (cbrt.f64 (pow.f64 (*.f64 N N) 2)) N)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 -1 (pow.f64 N 2)) (cbrt.f64 N))) (cbrt.f64 (neg.f64 (cbrt.f64 (pow.f64 N 2)))))
(/.f64 1 N)
(/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 N))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (cbrt.f64 N) N) 2))))
(/.f64 1 N)
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) (cbrt.f64 (*.f64 (cbrt.f64 N) (pow.f64 N 2))))
(/.f64 1 N)
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) (cbrt.f64 (*.f64 N (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 N)) 2) (*.f64 (cbrt.f64 (pow.f64 (*.f64 N N) 2)) N)))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N) 2)) (cbrt.f64 (cbrt.f64 N)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 1 (cbrt.f64 N)) N) 2) (cbrt.f64 N)))
(/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 N))) (cbrt.f64 (*.f64 N (*.f64 (cbrt.f64 (pow.f64 N 2)) (neg.f64 N)))))
(/.f64 1 N)
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) (cbrt.f64 (*.f64 N (*.f64 (cbrt.f64 (pow.f64 N 2)) N))))
(/.f64 1 N)
(/.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 N 2)) N)))) (cbrt.f64 (*.f64 (pow.f64 N 2) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 N 2) 2))))))
(cbrt.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 (cbrt.f64 N) N) N)) (*.f64 (*.f64 N N) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 N N) 2))))))
(/.f64 (/.f64 -1 (cbrt.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 N 2))))
(/.f64 1 N)
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 N 2))) (neg.f64 (cbrt.f64 N)))
(/.f64 1 N)
(/.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) N)) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 N 2)) N)))
(/.f64 1 N)
(pow.f64 (pow.f64 N -1) 1)
(/.f64 1 N)
(pow.f64 (cbrt.f64 (pow.f64 N -1)) 3)
(/.f64 1 N)
(pow.f64 N -1)
(/.f64 1 N)
(pow.f64 (/.f64 1 (pow.f64 N 3)) 1/3)
(/.f64 1 N)
(cbrt.f64 (/.f64 1 (pow.f64 N 3)))
(/.f64 1 N)
(neg.f64 (/.f64 -1 N))
(/.f64 1 N)
(neg.f64 (-.f64 (/.f64 -1 N) (/.f64 0 N)))
(/.f64 1 N)
(neg.f64 (-.f64 (/.f64 -1 N) 0))
(/.f64 1 N)
(neg.f64 (-.f64 (/.f64 -1 N) (/.f64 0 (neg.f64 N))))
(/.f64 1 N)
(if (!=.f64 N 0) (pow.f64 N -1) (pow.f64 N -1))
(if (!=.f64 N 0) (/.f64 1 N) (/.f64 1 N))
(if (!=.f64 -1 0) (pow.f64 N -1) (pow.f64 N -1))
(if (!=.f64 -1 0) (/.f64 1 N) (/.f64 1 N))
(if (!=.f64 1 0) (pow.f64 N -1) (pow.f64 N -1))
(if (!=.f64 1 0) (/.f64 1 N) (/.f64 1 N))
(if (!=.f64 (pow.f64 N 3) 0) (pow.f64 (pow.f64 N 3) -1/3) (pow.f64 N -1))
(if (!=.f64 (pow.f64 N 3) 0) (pow.f64 (pow.f64 N 3) -1/3) (/.f64 1 N))
(if (!=.f64 (cbrt.f64 N) 0) (pow.f64 (cbrt.f64 N) -3) (pow.f64 N -1))
(if (!=.f64 (cbrt.f64 N) 0) (pow.f64 (cbrt.f64 N) -3) (/.f64 1 N))
(if (!=.f64 (cbrt.f64 (pow.f64 N -1)) 0) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 N 2) (pow.f64 N -1)))) (pow.f64 N -1))
(if (!=.f64 (/.f64 1 (cbrt.f64 N)) 0) (cbrt.f64 (pow.f64 (/.f64 (*.f64 N N) (/.f64 1 N)) -1)) (/.f64 1 N))
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 N -1))) 2) 0) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 N -1)) (/.f64 (pow.f64 N 2) (/.f64 1 (cbrt.f64 (pow.f64 N 2)))))) (pow.f64 N -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 N)) 2)) 0) (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 (*.f64 N N) (/.f64 (cbrt.f64 N) N)))) (/.f64 1 N))
(if (!=.f64 (cbrt.f64 (pow.f64 N -1)) 0) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 N -1)) -3) -1) (pow.f64 N -1))
(if (!=.f64 (/.f64 1 (cbrt.f64 N)) 0) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 N)) -3) -1) (/.f64 1 N))
(if (!=.f64 (/.f64 1 (pow.f64 N 3)) 0) (pow.f64 (pow.f64 (/.f64 1 (pow.f64 N 3)) -1/3) -1) (pow.f64 N -1))
(if (!=.f64 (pow.f64 (/.f64 1 N) 3) 0) (pow.f64 (pow.f64 (pow.f64 (/.f64 1 N) 3) -1/3) -1) (/.f64 1 N))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 1 (pow.f64 (pow.f64 N -1) -1)) (pow.f64 N -1))
(if (!=.f64 (/.f64 1 N) 0) (/.f64 1 (/.f64 -1 (/.f64 -1 N))) (/.f64 1 N))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 (-.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (/.f64 1 (pow.f64 N 2))) (/.f64 -1 N)) (pow.f64 N -1))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 (/.f64 -1 (pow.f64 N 2)) (/.f64 -1 N)) (pow.f64 N -1))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 (-.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (/.f64 1 (pow.f64 N 2))) (/.f64 -1 N)) (pow.f64 N -1))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 N) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 N) (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 0 (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 0 (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 N) (/.f64 -1 N)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 N) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 N) (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 (/.f64 (/.f64 1 N) N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(if (!=.f64 (+.f64 0 (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 0 (/.f64 -1 N)))) 0) (/.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 0 (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 0 (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 (/.f64 (/.f64 1 N) N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 (/.f64 (/.f64 1 N) N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(if (!=.f64 (/.f64 0 N) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 N) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 N) (/.f64 0 N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 N) (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 0 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(if (!=.f64 0 0) (/.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 0 (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 0 (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 0 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(if (!=.f64 (/.f64 0 (neg.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 N)) 3) (/.f64 -1 (pow.f64 N 3))) (+.f64 (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 0 (neg.f64 N))) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 (/.f64 0 (neg.f64 N)) (/.f64 -1 N))))) (pow.f64 N -1))
(if (!=.f64 0 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(+.f64 (/.f64 0 N) (pow.f64 N -1))
(/.f64 1 N)
(+.f64 (/.f64 0 (neg.f64 N)) (pow.f64 N -1))
(/.f64 1 N)
(+.f64 0 (pow.f64 N -1))
(/.f64 1 N)

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 N 1/2) N)
✓0.0b
(+.f64 (*.f64 (-.f64 N 1/2) N) 1/3)
✓19.4b
(/.f64 (+.f64 (*.f64 (-.f64 N 1/2) N) 1/3) (pow.f64 N 3))
Compiler

Compiled 34 to 24 computations (29.4% saved)

series18.0ms (0%)

Counts
3 → 35
Calls

9 calls:

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

Compiled 1680 to 1345 computations (19.9% saved)

rewrite1.5s (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
104×egg-rr
80×egg-rr
49×egg-rr
Counts
3 → 233
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (-.f64 N 1/2) N) 1/3) (pow.f64 N 3))
(+.f64 (*.f64 (-.f64 N 1/2) N) 1/3)
(*.f64 (-.f64 N 1/2) N)
Outputs
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simplify4.5s (5.4%)

Algorithm
1×egglog
Counts
268 → 317
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 N -3))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
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1/3
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(if (!=.f64 (/.f64 1 (+.f64 1/9 (*.f64 (*.f64 (+.f64 -1/2 N) N) (fma.f64 (+.f64 -1/2 N) N -1/3)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/27) (/.f64 1 (/.f64 1 (+.f64 1/9 (*.f64 (*.f64 (+.f64 -1/2 N) N) (fma.f64 (+.f64 -1/2 N) N -1/3)))))) (fma.f64 (+.f64 -1/2 N) N 1/3))
(if (!=.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) 0) (/.f64 (+.f64 1/9 (*.f64 (*.f64 (+.f64 -1/2 N) N) (fma.f64 (+.f64 -1/2 N) N -1/3))) (/.f64 (+.f64 1/9 (*.f64 (*.f64 (+.f64 -1/2 N) N) (fma.f64 (+.f64 -1/2 N) N -1/3))) (fma.f64 (+.f64 -1/2 N) N 1/3))) (fma.f64 (+.f64 -1/2 N) N 1/3))
(if (!=.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/27)) 2) 0) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/27)) (/.f64 (+.f64 1/9 (*.f64 (*.f64 (+.f64 -1/2 N) N) (fma.f64 (+.f64 -1/2 N) N -1/3))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/27)) 2))) (fma.f64 (+.f64 -1/2 N) N 1/3))
(if (!=.f64 (+.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/27) 0) (/.f64 1 (/.f64 (+.f64 1/9 (*.f64 (*.f64 (+.f64 -1/2 N) N) (fma.f64 (+.f64 -1/2 N) N -1/3))) (+.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/27))) (fma.f64 (+.f64 -1/2 N) N 1/3))
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/2 N) 1/3))
(+.f64 (+.f64 1/3 (pow.f64 N 2)) (*.f64 -1/2 N))
(+.f64 (*.f64 (+.f64 -1/2 N) N) 1/3)
(+.f64 1/3 (*.f64 (+.f64 -1/2 N) N))
(+.f64 1/3 (*.f64 (*.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/3))
(+.f64 1/3 (*.f64 1/3 (*.f64 (*.f64 (+.f64 -1/2 N) N) 3)))
(*.f64 (+.f64 -1/2 N) N)
(*.f64 N (+.f64 -1/2 N))
(*.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 (pow.f64 N 2)) (+.f64 -1/2 N)))
(*.f64 (cbrt.f64 (+.f64 -1/2 N)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) N))
(*.f64 (*.f64 (+.f64 -1/2 N) (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)))
(*.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) N) (/.f64 1 (+.f64 1/4 (*.f64 N (+.f64 1/2 N)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 N 2)) (+.f64 -1/2 N)) (cbrt.f64 N))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) N) (cbrt.f64 (+.f64 -1/2 N)))
(*.f64 (cbrt.f64 (pow.f64 N 2)) (*.f64 (+.f64 -1/2 N) (cbrt.f64 N)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 -1/2 N) N)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 2)) (cbrt.f64 (*.f64 (+.f64 -1/2 N) N)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) (*.f64 N (cbrt.f64 (+.f64 -1/2 N))))
(*.f64 (*.f64 N (cbrt.f64 (+.f64 -1/2 N))) (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)))
(*.f64 (-.f64 1/2 N) (neg.f64 N))
(*.f64 (neg.f64 N) (-.f64 1/2 N))
(*.f64 -1 (*.f64 (-.f64 1/2 N) N))
(*.f64 1 (*.f64 (+.f64 -1/2 N) N))
(*.f64 (*.f64 (+.f64 -1/2 N) N) 1)
(-.f64 0 (*.f64 (-.f64 1/2 N) N))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) N) (+.f64 1/4 (*.f64 N (+.f64 1/2 N))))
(/.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) N) (-.f64 (fma.f64 N N 1/4) (*.f64 -1/2 N)))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 N 3)) N) (neg.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) -1/8)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) N)) (cbrt.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N)))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) N) 1) (+.f64 1/4 (*.f64 N (+.f64 1/2 N))))
(/.f64 (*.f64 N (-.f64 1/8 (pow.f64 N 3))) (neg.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) N) 1) (+.f64 1/4 (*.f64 N (+.f64 1/2 N))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) N) (cbrt.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N))))) (pow.f64 (cbrt.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N)))) 2))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) N)) (neg.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N)))))
(/.f64 (*.f64 (+.f64 -1/2 N) N) 1)
(fma.f64 (*.f64 N (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)) (*.f64 -1/2 N))
(fma.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) (*.f64 -1/2 N))
(fma.f64 N N (*.f64 -1/2 N))
(fma.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 (pow.f64 N 2)) N) (*.f64 -1/2 N))
(fma.f64 1 (pow.f64 N 2) (*.f64 -1/2 N))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 -1/2 N) N)) 3)
(pow.f64 (*.f64 (+.f64 -1/2 N) N) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3))
(neg.f64 (*.f64 (-.f64 1/2 N) N))
(if (!=.f64 (pow.f64 N 2) 0) (/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 2) (pow.f64 (*.f64 -1/2 N) 3)) (+.f64 (pow.f64 (pow.f64 N 2) 2) (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 -1/2 N))))) (*.f64 (+.f64 -1/2 N) N))
(if (!=.f64 (-.f64 (pow.f64 N 2) (*.f64 -1/2 N)) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 N 2) 2) (*.f64 (pow.f64 N 2) 1/4)) (-.f64 (pow.f64 N 2) (*.f64 -1/2 N))) (*.f64 (+.f64 -1/2 N) N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 N 3) -1/8) (/.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N))) N)) (*.f64 (+.f64 -1/2 N) N))
(if (!=.f64 (+.f64 (pow.f64 N 3) -1/8) 0) (/.f64 N (/.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N))) (+.f64 (pow.f64 N 3) -1/8))) (*.f64 (+.f64 -1/2 N) N))
(if (!=.f64 (pow.f64 N 2) 0) (*.f64 (pow.f64 N 2) (+.f64 1 (/.f64 (*.f64 -1/2 N) (pow.f64 N 2)))) (*.f64 (+.f64 -1/2 N) N))
(if (!=.f64 (+.f64 (pow.f64 (pow.f64 N 2) 2) (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 -1/2 N)))) 0) (/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 2) (pow.f64 (*.f64 -1/2 N) 3)) (+.f64 (pow.f64 (pow.f64 N 2) 2) (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 -1/2 N))))) (*.f64 (+.f64 -1/2 N) N))
(if (!=.f64 (*.f64 -1/2 N) 0) (/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 2) (pow.f64 (*.f64 -1/2 N) 3)) (+.f64 (pow.f64 (pow.f64 N 2) 2) (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 -1/2 N))))) (*.f64 (+.f64 -1/2 N) N))
(+.f64 (pow.f64 N 2) (*.f64 -1/2 N))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (pow.f64 N 2) (*.f64 (*.f64 -1/2 N) 1))
Outputs
(*.f64 1/3 (pow.f64 N -3))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1)))
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 N -1)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (pow.f64 N -1)))
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1)) (/.f64 -1/3 (neg.f64 (pow.f64 N 3))))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 N -1) N) (pow.f64 N -1)) (/.f64 -1/3 (neg.f64 (pow.f64 N 3))))
1/3
(+.f64 1/3 (+.f64 (pow.f64 N 2) (*.f64 -1/2 N)))
(fma.f64 N (-.f64 N 1/2) 1/3)
(+.f64 1/3 (+.f64 (pow.f64 N 2) (*.f64 -1/2 N)))
(fma.f64 N (-.f64 N 1/2) 1/3)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (pow.f64 N -1) -2)
(+.f64 (pow.f64 (/.f64 1 N) -2) (*.f64 -1/2 N))
(+.f64 (pow.f64 (pow.f64 N -1) -2) (*.f64 -1/2 N))
(+.f64 (pow.f64 (/.f64 1 N) -2) (+.f64 1/3 (*.f64 -1/2 N)))
(+.f64 (pow.f64 (pow.f64 N -1) -2) (fma.f64 -1/2 N 1/3))
(+.f64 (pow.f64 (/.f64 1 N) -2) (+.f64 1/3 (*.f64 -1/2 N)))
(+.f64 (pow.f64 (pow.f64 N -1) -2) (fma.f64 -1/2 N 1/3))
(pow.f64 (/.f64 -1 N) -2)
(+.f64 (pow.f64 (/.f64 -1 N) -2) (*.f64 -1/2 N))
(+.f64 1/3 (+.f64 (pow.f64 (/.f64 -1 N) -2) (*.f64 -1/2 N)))
(+.f64 (pow.f64 (/.f64 -1 N) -2) (fma.f64 -1/2 N 1/3))
(+.f64 1/3 (+.f64 (pow.f64 (/.f64 -1 N) -2) (*.f64 -1/2 N)))
(+.f64 (pow.f64 (/.f64 -1 N) -2) (fma.f64 -1/2 N 1/3))
(*.f64 -1/2 N)
(+.f64 (pow.f64 N 2) (*.f64 -1/2 N))
(*.f64 (-.f64 N 1/2) N)
(+.f64 (pow.f64 N 2) (*.f64 -1/2 N))
(*.f64 (-.f64 N 1/2) N)
(+.f64 (pow.f64 N 2) (*.f64 -1/2 N))
(*.f64 (-.f64 N 1/2) N)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (pow.f64 N -1) -2)
(+.f64 (pow.f64 (/.f64 1 N) -2) (*.f64 -1/2 N))
(+.f64 (pow.f64 (pow.f64 N -1) -2) (*.f64 -1/2 N))
(+.f64 (pow.f64 (/.f64 1 N) -2) (*.f64 -1/2 N))
(+.f64 (pow.f64 (pow.f64 N -1) -2) (*.f64 -1/2 N))
(+.f64 (pow.f64 (/.f64 1 N) -2) (*.f64 -1/2 N))
(+.f64 (pow.f64 (pow.f64 N -1) -2) (*.f64 -1/2 N))
(pow.f64 (/.f64 -1 N) -2)
(+.f64 (pow.f64 (/.f64 -1 N) -2) (*.f64 -1/2 N))
(+.f64 (pow.f64 (/.f64 -1 N) -2) (*.f64 -1/2 N))
(+.f64 (pow.f64 (/.f64 -1 N) -2) (*.f64 -1/2 N))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (+.f64 -1/2 N) N 1/3)) N) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 (+.f64 -1/2 N) N 1/3)) N) 2))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 (+.f64 -1/2 N) N 1/3)) N) 2) (/.f64 (cbrt.f64 (fma.f64 (+.f64 -1/2 N) N 1/3)) N))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (/.f64 (pow.f64 N -1) N) (/.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) N))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (+.f64 -1/2 N) N 1/3)) (pow.f64 N 2)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) 2)) N))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 -1/2 N) N 1/3)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) 2)) (pow.f64 N 3)))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (pow.f64 N -1) (/.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) (pow.f64 N 2)))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (/.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) N) (/.f64 (pow.f64 N -1) N))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (/.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) (pow.f64 N 2)) (pow.f64 N -1))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/27) (pow.f64 N 3)) (/.f64 1 (+.f64 1/9 (*.f64 (*.f64 (+.f64 -1/2 N) N) (fma.f64 (+.f64 -1/2 N) N -1/3)))))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/27) (/.f64 1 (*.f64 (+.f64 1/9 (*.f64 (*.f64 (+.f64 -1/2 N) N) (fma.f64 (+.f64 -1/2 N) N -1/3))) (pow.f64 N 3))))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) 2)) (pow.f64 N 3)) (cbrt.f64 (fma.f64 (+.f64 -1/2 N) N 1/3)))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) 2)) N) (/.f64 (cbrt.f64 (fma.f64 (+.f64 -1/2 N) N 1/3)) (pow.f64 N 2)))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (pow.f64 (pow.f64 N 3) -1) (fma.f64 (+.f64 -1/2 N) N 1/3))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) (pow.f64 (pow.f64 N 3) -1))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 -1 (/.f64 (-.f64 -1/3 (*.f64 (+.f64 -1/2 N) N)) (pow.f64 N 3)))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 1 (/.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) (pow.f64 N 3)))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (/.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) (pow.f64 N 3)) 1)
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (-.f64 -1/3 (*.f64 (+.f64 -1/2 N) N)) (/.f64 -1 (pow.f64 N 3)))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(*.f64 (/.f64 -1 (pow.f64 N 3)) (-.f64 -1/3 (*.f64 (+.f64 -1/2 N) N)))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(-.f64 (/.f64 0 (neg.f64 (pow.f64 N 3))) (/.f64 (-.f64 -1/3 (*.f64 (+.f64 -1/2 N) N)) (pow.f64 N 3)))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(-.f64 0 (/.f64 (-.f64 -1/3 (*.f64 (+.f64 -1/2 N) N)) (pow.f64 N 3)))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(/.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) (pow.f64 N 3))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/27) (pow.f64 N 3)) (+.f64 1/9 (*.f64 (*.f64 (+.f64 -1/2 N) N) (fma.f64 (+.f64 -1/2 N) N -1/3))))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/27) (*.f64 (+.f64 1/9 (*.f64 (*.f64 (+.f64 -1/2 N) N) (fma.f64 (+.f64 -1/2 N) N -1/3))) (pow.f64 N 3)))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(/.f64 (/.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) N) (pow.f64 N 2))
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(/.f64 (/.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) (pow.f64 N 2)) N)
(/.f64 (fma.f64 N (-.f64 N 1/2) 1/3) (pow.f64 N 3))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/27)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 -1/2 N) N 1/3) 2)) (pow.f64 N 3))) (cbrt.f64 (+.f64 1/9 (*.f64 (*.f64 (+.f64 -1/2 N) N) (fma.f64 (+.f64 -1/2 N) N -1/3)))))
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(/.f64 (*.f64 (-.f64 1/8 (pow.f64 N 3)) N) (-.f64 -1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) -1/8)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/2 N) 2)) N)) (cbrt.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 N 3) 1/8) (pow.f64 (-.f64 N 1/2) 2))) N) (cbrt.f64 (-.f64 1/4 (*.f64 (-.f64 -1/2 N) N))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) N) 1) (+.f64 1/4 (*.f64 N (+.f64 1/2 N))))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 N 3)) N) (-.f64 -1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (*.f64 N (-.f64 1/8 (pow.f64 N 3))) (neg.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N)))))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 N 3)) N) (-.f64 -1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) N) 1) (+.f64 1/4 (*.f64 N (+.f64 1/2 N))))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 N 3)) N) (-.f64 -1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) N) (cbrt.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N))))) (pow.f64 (cbrt.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N)))) 2))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 N 3)) N) (-.f64 -1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 N 3) -1/8) N)) (neg.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N)))))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 N 3)) N) (-.f64 -1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (*.f64 (+.f64 -1/2 N) N) 1)
(*.f64 (-.f64 N 1/2) N)
(fma.f64 (*.f64 N (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)) (*.f64 -1/2 N))
(fma.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 (pow.f64 (pow.f64 N 2) 2)) (*.f64 -1/2 N))
(+.f64 (cbrt.f64 (pow.f64 (pow.f64 N 3) 2)) (*.f64 -1/2 N))
(fma.f64 N N (*.f64 -1/2 N))
(*.f64 (-.f64 N 1/2) N)
(fma.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 (pow.f64 N 2)) N) (*.f64 -1/2 N))
(fma.f64 1 (pow.f64 N 2) (*.f64 -1/2 N))
(*.f64 (-.f64 N 1/2) N)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 -1/2 N) N)) 3)
(*.f64 (-.f64 N 1/2) N)
(pow.f64 (*.f64 (+.f64 -1/2 N) N) 1)
(*.f64 (-.f64 N 1/2) N)
(pow.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3) 1/3)
(*.f64 (-.f64 N 1/2) N)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 -1/2 N) N) 3))
(*.f64 (-.f64 N 1/2) N)
(neg.f64 (*.f64 (-.f64 1/2 N) N))
(*.f64 (-.f64 N 1/2) N)
(if (!=.f64 (pow.f64 N 2) 0) (/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 2) (pow.f64 (*.f64 -1/2 N) 3)) (+.f64 (pow.f64 (pow.f64 N 2) 2) (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 -1/2 N))))) (*.f64 (+.f64 -1/2 N) N))
(if (!=.f64 (pow.f64 N 2) 0) (/.f64 (*.f64 (pow.f64 N 3) (-.f64 (pow.f64 N 3) 1/8)) (*.f64 (pow.f64 N 2) (-.f64 1/4 (*.f64 (-.f64 -1/2 N) N)))) (*.f64 (-.f64 N 1/2) N))
(if (!=.f64 (-.f64 (pow.f64 N 2) (*.f64 -1/2 N)) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 N 2) 2) (*.f64 (pow.f64 N 2) 1/4)) (-.f64 (pow.f64 N 2) (*.f64 -1/2 N))) (*.f64 (+.f64 -1/2 N) N))
(if (!=.f64 (*.f64 N (-.f64 N -1/2)) 0) (/.f64 (*.f64 (pow.f64 N 2) (-.f64 1/4 (pow.f64 N 2))) (*.f64 (-.f64 -1/2 N) N)) (*.f64 (-.f64 N 1/2) N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 N 3) -1/8) (/.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N))) N)) (*.f64 (+.f64 -1/2 N) N))
(if (!=.f64 N 0) (/.f64 (-.f64 (pow.f64 N 3) 1/8) (/.f64 (-.f64 1/4 (*.f64 (-.f64 -1/2 N) N)) N)) (*.f64 (-.f64 N 1/2) N))
(if (!=.f64 (+.f64 (pow.f64 N 3) -1/8) 0) (/.f64 N (/.f64 (+.f64 1/4 (*.f64 N (+.f64 1/2 N))) (+.f64 (pow.f64 N 3) -1/8))) (*.f64 (+.f64 -1/2 N) N))
(if (!=.f64 (-.f64 (pow.f64 N 3) 1/8) 0) (/.f64 N (/.f64 (-.f64 -1/4 (*.f64 N (-.f64 N -1/2))) (-.f64 1/8 (pow.f64 N 3)))) (*.f64 (-.f64 N 1/2) N))
(if (!=.f64 (pow.f64 N 2) 0) (*.f64 (pow.f64 N 2) (+.f64 1 (/.f64 (*.f64 -1/2 N) (pow.f64 N 2)))) (*.f64 (+.f64 -1/2 N) N))
(if (!=.f64 (pow.f64 N 2) 0) (*.f64 (pow.f64 N 2) (+.f64 1 (/.f64 (*.f64 -1/2 N) (pow.f64 N 2)))) (*.f64 (-.f64 N 1/2) N))
(if (!=.f64 (+.f64 (pow.f64 (pow.f64 N 2) 2) (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 -1/2 N)))) 0) (/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 2) (pow.f64 (*.f64 -1/2 N) 3)) (+.f64 (pow.f64 (pow.f64 N 2) 2) (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 -1/2 N))))) (*.f64 (+.f64 -1/2 N) N))
(if (!=.f64 (*.f64 (pow.f64 N 2) (-.f64 1/4 (*.f64 (-.f64 -1/2 N) N))) 0) (/.f64 (*.f64 (pow.f64 N 3) (-.f64 (pow.f64 N 3) 1/8)) (*.f64 (pow.f64 N 2) (-.f64 1/4 (*.f64 (-.f64 -1/2 N) N)))) (*.f64 (-.f64 N 1/2) N))
(if (!=.f64 (*.f64 -1/2 N) 0) (/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 2) (pow.f64 (*.f64 -1/2 N) 3)) (+.f64 (pow.f64 (pow.f64 N 2) 2) (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 -1/2 N))))) (*.f64 (+.f64 -1/2 N) N))
(if (!=.f64 (*.f64 -1/2 N) 0) (/.f64 (*.f64 (pow.f64 N 3) (-.f64 (pow.f64 N 3) 1/8)) (*.f64 (pow.f64 N 2) (-.f64 1/4 (*.f64 (-.f64 -1/2 N) N)))) (*.f64 (-.f64 N 1/2) N))
(+.f64 (pow.f64 N 2) (*.f64 -1/2 N))
(*.f64 (-.f64 N 1/2) N)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 (-.f64 N 1/2) N)
(+.f64 (pow.f64 N 2) (*.f64 (*.f64 -1/2 N) 1))
(*.f64 (-.f64 N 1/2) N)

localize22.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (/.f64 -1/2 N) N N)
✓0.3b
(pow.f64 (pow.f64 N -1) 2)
✓0.4b
(/.f64 1/3 N)
✓13.7b
(*.f64 (pow.f64 (pow.f64 N -1) 2) (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)))
Compiler

Compiled 52 to 35 computations (32.7% saved)

series16.0ms (0%)

Counts
4 → 36
Calls

12 calls:

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

Compiled 1170 to 920 computations (21.4% saved)

rewrite1.6s (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
90×egg-rr
78×egg-rr
49×egg-rr
44×egg-rr
Counts
4 → 261
Calls
Call 1
Inputs
(*.f64 (pow.f64 (pow.f64 N -1) 2) (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)))
(/.f64 1/3 N)
(pow.f64 (pow.f64 N -1) 2)
(fma.f64 (/.f64 -1/2 N) N N)
Outputs
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*.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 (pow.f64 N -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 2)) (/.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 2)) (pow.f64 N 2)) (cbrt.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (*.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -1) (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) (pow.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (cbrt.f64 1/3) (pow.f64 N -1)) 2) (-.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)) (*.f64 (*.f64 (cbrt.f64 1/3) (pow.f64 N -1)) (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))))) (+.f64 (*.f64 (cbrt.f64 1/3) (pow.f64 N -1)) (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)) (-.f64 (pow.f64 (*.f64 (cbrt.f64 1/3) (pow.f64 N -1)) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))) (*.f64 (cbrt.f64 1/3) (pow.f64 N -1))))) (+.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))) (*.f64 (cbrt.f64 1/3) (pow.f64 N -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (neg.f64 (/.f64 1/3 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 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(pow.f64 N 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 N) (pow.f64 (pow.f64 N -1) 2) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 N -1) 2) (/.f64 1/3 N) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 1/3 N) (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 1/3) (pow.f64 N -1)) (pow.f64 (*.f64 (cbrt.f64 1/3) (pow.f64 N -1)) 2) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (pow.f64 N 2)) (pow.f64 N -1) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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N) N) 1 N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 N 1 (/.f64 (*.f64 -1/2 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 (/.f64 -1/2 N) N N)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (*.f64 -1/2 N) N) 0) (*.f64 (/.f64 (*.f64 -1/2 N) N) (+.f64 1 (/.f64 (*.f64 N -2) (/.f64 N N)))) (fma.f64 (/.f64 -1/2 N) N N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (/.f64 -1/2 N) N N) 0) (pow.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) -1) -1) (fma.f64 (/.f64 -1/2 N) N N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 3) -1/3)) (fma.f64 (/.f64 -1/2 N) N N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (*.f64 -1/2 N) N) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (*.f64 N (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 N (+.f64 1 (/.f64 1/2 N))) 0) (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2)) (*.f64 N (+.f64 1 (/.f64 1/2 N)))) (fma.f64 (/.f64 -1/2 N) N N))))) (#(struct:change #<rule 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N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (*.f64 -1/2 N) N) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 -1/2 (/.f64 N N) (neg.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2)) (*.f64 N (+.f64 1 (/.f64 1/2 N)))) (fma.f64 (/.f64 -1/2 N) N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -1/2 N) N) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (/.f64 (*.f64 -1/2 N) N))))))

simplify4.9s (5.8%)

Algorithm
1×egglog
Counts
297 → 345
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 N -3))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(/.f64 1 N)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(pow.f64 N -2)
(pow.f64 N -2)
(pow.f64 N -2)
(pow.f64 N -2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (/.f64 -1 N) 2)
-1/2
(-.f64 N 1/2)
(-.f64 N 1/2)
(-.f64 N 1/2)
N
(-.f64 N 1/2)
(-.f64 N 1/2)
(-.f64 N 1/2)
N
(-.f64 N 1/2)
(-.f64 N 1/2)
(-.f64 N 1/2)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 2)) (pow.f64 N 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)) (pow.f64 N 2)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 2)))
(*.f64 (pow.f64 (pow.f64 N -1) 2) (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N))
(*.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 (pow.f64 N -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 2)) (/.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)) (pow.f64 N 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 2)) (pow.f64 N 2)) (cbrt.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (*.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2))))
(*.f64 (pow.f64 N -1) (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N))
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)))
(*.f64 -1 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))))
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) (pow.f64 N -1))
(*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))) -1)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)))
(*.f64 (+.f64 (pow.f64 (*.f64 (cbrt.f64 1/3) (pow.f64 N -1)) 2) (-.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)) (*.f64 (*.f64 (cbrt.f64 1/3) (pow.f64 N -1)) (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))))) (+.f64 (*.f64 (cbrt.f64 1/3) (pow.f64 N -1)) (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)) (-.f64 (pow.f64 (*.f64 (cbrt.f64 1/3) (pow.f64 N -1)) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))) (*.f64 (cbrt.f64 1/3) (pow.f64 N -1))))) (+.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))) (*.f64 (cbrt.f64 1/3) (pow.f64 N -1))))
(*.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2)))
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2)) 1)
(-.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (neg.f64 (/.f64 1/3 (pow.f64 N 3))))
(-.f64 0 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (neg.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N)) (neg.f64 N))
(/.f64 (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) -1) (neg.f64 N))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 N -1)) (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N)) (cbrt.f64 (pow.f64 N 2)))
(/.f64 (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) (cbrt.f64 (pow.f64 N -1))) (cbrt.f64 (pow.f64 N 2)))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2)) 1)
(fma.f64 (/.f64 1/3 N) (pow.f64 (pow.f64 N -1) 2) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 (pow.f64 (pow.f64 N -1) 2) (/.f64 1/3 N) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 (/.f64 (/.f64 1/3 N) (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 (*.f64 (cbrt.f64 1/3) (pow.f64 N -1)) (pow.f64 (*.f64 (cbrt.f64 1/3) (pow.f64 N -1)) 2) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 (/.f64 1/3 (pow.f64 N 2)) (pow.f64 N -1) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 (pow.f64 N -1) (/.f64 1/3 (pow.f64 N 2)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (*.f64 N 3)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 1/3 (pow.f64 (pow.f64 N -1) 3) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 (pow.f64 N -1) 2) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 (pow.f64 N -1) 2) (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2)) (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (/.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) (pow.f64 N 2)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 2)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (*.f64 (fma.f64 (/.f64 -1/2 N) N N) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (cbrt.f64 (/.f64 1/3 N)) (/.f64 (cbrt.f64 (/.f64 (/.f64 1/9 N) N)) (pow.f64 N 2)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 (/.f64 (cbrt.f64 (/.f64 1/3 N)) (pow.f64 N 2)) (cbrt.f64 (/.f64 (/.f64 1/9 N) N)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) N) (pow.f64 N -1) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (pow.f64 N -1) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) N) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (fma.f64 (/.f64 -1/2 N) N N)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3)))
(fma.f64 1 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)))
(fma.f64 (/.f64 (fma.f64 (/.f64 -1/2 N) N N) (pow.f64 N 2)) 1 (/.f64 1/3 (pow.f64 N 3)))
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2)) 1)
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(*.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (/.f64 (pow.f64 N -1) (cbrt.f64 N)))
(*.f64 1 (pow.f64 (pow.f64 N -1) 2))
(*.f64 (pow.f64 (pow.f64 N -1) 2) 1)
(-.f64 0 (/.f64 -1 (pow.f64 N 2)))
(/.f64 (/.f64 (pow.f64 N -1) (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 N))
(/.f64 (/.f64 (pow.f64 N -1) -1) (neg.f64 N))
(/.f64 (cbrt.f64 (pow.f64 N -1)) (*.f64 N (cbrt.f64 (pow.f64 N 2))))
(/.f64 (/.f64 (pow.f64 N -1) (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2)))
(/.f64 (pow.f64 N -1) N)
(/.f64 (/.f64 -1 N) (neg.f64 N))
(/.f64 -1 (/.f64 (pow.f64 N 2) -1))
(/.f64 -1 (neg.f64 (pow.f64 N 2)))
(/.f64 1 (pow.f64 N 2))
(/.f64 (pow.f64 (pow.f64 N -1) 2) 1)
(pow.f64 (pow.f64 N 2) -1)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 3) 1/3)
(pow.f64 (pow.f64 (pow.f64 N -1) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 3))
(neg.f64 (/.f64 -1 (pow.f64 N 2)))
(if (!=.f64 (pow.f64 (pow.f64 N -1) 2) 0) (pow.f64 (/.f64 1 (pow.f64 (pow.f64 N -1) 2)) -1) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 3) 0) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 3) -1/3) -1) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 -1 0) (pow.f64 (pow.f64 N -1) 2) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 1 0) (pow.f64 (pow.f64 N -1) 2) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 N (/.f64 -1 N))) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 (cbrt.f64 (pow.f64 N -1)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (/.f64 N (cbrt.f64 (pow.f64 N -1)))) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 N -1)) (/.f64 N (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)))) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 (pow.f64 N -1) 0) (/.f64 1 (/.f64 N (pow.f64 N -1))) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 (/.f64 -1 (cbrt.f64 (pow.f64 N 2))) 0) (/.f64 (/.f64 -1 (cbrt.f64 N)) (/.f64 N (/.f64 -1 (cbrt.f64 (pow.f64 N 2))))) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 (pow.f64 N 2) 0) (pow.f64 (pow.f64 N -1) 2) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 (neg.f64 N) 0) (pow.f64 (neg.f64 N) -2) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 (cbrt.f64 (pow.f64 N 2)) 0) (pow.f64 (cbrt.f64 (pow.f64 N 2)) -3) (pow.f64 (pow.f64 N -1) 2))
(if (!=.f64 N 0) (pow.f64 N -2) (pow.f64 (pow.f64 N -1) 2))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 2)) (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)))
(*.f64 (cbrt.f64 (pow.f64 N 2)) (*.f64 (/.f64 (+.f64 -1/2 N) N) (cbrt.f64 N)))
(*.f64 (/.f64 (+.f64 -1/2 N) N) N)
(*.f64 N (/.f64 (+.f64 -1/2 N) N))
(*.f64 -1 (neg.f64 (fma.f64 (/.f64 -1/2 N) N N)))
(*.f64 (neg.f64 (fma.f64 (/.f64 -1/2 N) N N)) -1)
(*.f64 (+.f64 (cbrt.f64 (pow.f64 N 2)) (-.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2)) (*.f64 (cbrt.f64 N) (cbrt.f64 (/.f64 (*.f64 -1/2 N) N))))) (+.f64 (cbrt.f64 N) (cbrt.f64 (/.f64 (*.f64 -1/2 N) N))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2)) (-.f64 (cbrt.f64 (pow.f64 N 2)) (*.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 N) N)) (cbrt.f64 N)))) (+.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 N) N)) (cbrt.f64 N)))
(*.f64 1 (fma.f64 (/.f64 -1/2 N) N N))
(*.f64 (fma.f64 (/.f64 -1/2 N) N N) 1)
(-.f64 0 (neg.f64 (fma.f64 (/.f64 -1/2 N) N N)))
(-.f64 N (*.f64 N (/.f64 1/2 N)))
(-.f64 (+.f64 (/.f64 (*.f64 -1/2 N) N) 0) (neg.f64 N))
(-.f64 (/.f64 (*.f64 -1/2 N) N) (neg.f64 N))
(/.f64 (fma.f64 (/.f64 -1/2 N) N N) 1)
(fma.f64 (/.f64 -1/2 N) N N)
(fma.f64 N (/.f64 -1/2 N) N)
(fma.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 N) N)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2)) N)
(fma.f64 (cbrt.f64 (/.f64 -1/2 N)) (*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 2))) N) N)
(fma.f64 (/.f64 (cbrt.f64 N) (*.f64 N -2)) (cbrt.f64 (pow.f64 N 2)) N)
(fma.f64 -1/2 (/.f64 N N) N)
(fma.f64 -1 (neg.f64 N) (/.f64 (*.f64 -1/2 N) N))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 2)) (/.f64 (*.f64 -1/2 N) N))
(fma.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 N) (/.f64 (*.f64 -1/2 N) N))
(fma.f64 1 (/.f64 (*.f64 -1/2 N) N) N)
(fma.f64 1 N (/.f64 (*.f64 -1/2 N) N))
(fma.f64 (/.f64 (*.f64 -1/2 N) N) 1 N)
(fma.f64 N 1 (/.f64 (*.f64 -1/2 N) N))
(pow.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 3) 1/3)
(pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N)) 3)
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 3))
(neg.f64 (neg.f64 (fma.f64 (/.f64 -1/2 N) N N)))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 (/.f64 -1/2 N) N N))) 3))
(if (!=.f64 (/.f64 (*.f64 -1/2 N) N) 0) (*.f64 (/.f64 (*.f64 -1/2 N) N) (+.f64 1 (/.f64 (*.f64 N -2) (/.f64 N N)))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 (fma.f64 (/.f64 -1/2 N) N N) 0) (pow.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) -1) -1) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (fma.f64 (/.f64 -1/2 N) N N) 3) -1/3)) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 (/.f64 (*.f64 -1/2 N) N) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (*.f64 N (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 (*.f64 N (+.f64 1 (/.f64 1/2 N))) 0) (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2)) (*.f64 N (+.f64 1 (/.f64 1/2 N)))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 N 0) (*.f64 N (+.f64 1 (/.f64 (/.f64 (*.f64 -1/2 N) N) N))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (*.f64 N (fma.f64 -1/2 (/.f64 N N) (neg.f64 N)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (*.f64 N (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (*.f64 N (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 (/.f64 (*.f64 -1/2 N) N) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 (fma.f64 -1/2 (/.f64 N N) (neg.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2)) (*.f64 N (+.f64 1 (/.f64 1/2 N)))) (fma.f64 (/.f64 -1/2 N) N N))
(+.f64 (/.f64 (*.f64 -1/2 N) N) N)
(+.f64 N (/.f64 (*.f64 -1/2 N) N))
Outputs
(*.f64 1/3 (pow.f64 N -3))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.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)) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1)))
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)))
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (pow.f64 N -1)))
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (/.f64 1 N))
(+.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))) (pow.f64 N -1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 N) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 N) 3)) (/.f64 1 N)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))) (pow.f64 N -1))
(/.f64 1 N)
(pow.f64 N -1)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N))
(+.f64 (pow.f64 N -1) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))) (pow.f64 N -1))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (/.f64 1 N)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))) (pow.f64 N -1))
(pow.f64 N -2)
(pow.f64 N -2)
(pow.f64 N -2)
(pow.f64 N -2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
(pow.f64 (/.f64 -1 N) 2)
(pow.f64 (pow.f64 N -1) 2)
-1/2
(-.f64 N 1/2)
(-.f64 N 1/2)
(-.f64 N 1/2)
N
(-.f64 N 1/2)
(-.f64 N 1/2)
(-.f64 N 1/2)
N
(-.f64 N 1/2)
(-.f64 N 1/2)
(-.f64 N 1/2)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2)) 2)))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 2)) (pow.f64 N 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 3)) N) N)
(*.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)) (pow.f64 N 2)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 3)) N) N)
(*.f64 (pow.f64 (pow.f64 N -1) 2) (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(*.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 (pow.f64 N -1) 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 2)) (/.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)) (pow.f64 N 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 3)) N) N)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 2)) (pow.f64 N 2)) (cbrt.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) 3)) N) N)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (*.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2))))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(*.f64 (pow.f64 N -1) (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(*.f64 -1 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) (pow.f64 N -1))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))) -1)
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)) (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 N -1) 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 N -1) 2) 2)) (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N)))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
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(if (!=.f64 (/.f64 (*.f64 -1/2 N) N) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (*.f64 N (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 N (/.f64 -1/2 N) N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 N (/.f64 -1/2 N) N))
(if (!=.f64 (*.f64 N (+.f64 1 (/.f64 1/2 N))) 0) (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2)) (*.f64 N (+.f64 1 (/.f64 1/2 N)))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 (+.f64 (/.f64 (*.f64 1/2 N) N) N) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (pow.f64 N 2)) (-.f64 (/.f64 (*.f64 -1/2 N) N) N)) (fma.f64 N (/.f64 -1/2 N) N))
(if (!=.f64 N 0) (*.f64 N (+.f64 1 (/.f64 (/.f64 (*.f64 -1/2 N) N) N))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 N 0) (*.f64 (/.f64 (fma.f64 N (/.f64 -1/2 N) N) N) N) (fma.f64 N (/.f64 -1/2 N) N))
(if (!=.f64 (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (*.f64 N (fma.f64 -1/2 (/.f64 N N) (neg.f64 N)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (*.f64 N (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (*.f64 N (fma.f64 -1/2 (/.f64 N N) (neg.f64 N)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (*.f64 N (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 N (/.f64 -1/2 N) N))
(if (!=.f64 (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 N (/.f64 -1/2 N) N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (*.f64 N (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (*.f64 N (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 N (/.f64 -1/2 N) N))
(if (!=.f64 (/.f64 (*.f64 -1/2 N) N) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 (/.f64 (*.f64 -1/2 N) N) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 3) (pow.f64 N 3)) (+.f64 (pow.f64 N 2) (*.f64 (/.f64 (*.f64 -1/2 N) N) (fma.f64 -1/2 (/.f64 N N) (neg.f64 N))))) (fma.f64 N (/.f64 -1/2 N) N))
(if (!=.f64 (fma.f64 -1/2 (/.f64 N N) (neg.f64 N)) 0) (/.f64 (-.f64 (pow.f64 N 2) (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2)) (*.f64 N (+.f64 1 (/.f64 1/2 N)))) (fma.f64 (/.f64 -1/2 N) N N))
(if (!=.f64 (fma.f64 -1/2 (/.f64 N N) (neg.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 -1/2 N) N) 2) (pow.f64 N 2)) (-.f64 (/.f64 (*.f64 -1/2 N) N) N)) (fma.f64 N (/.f64 -1/2 N) N))
(+.f64 (/.f64 (*.f64 -1/2 N) N) N)
(fma.f64 N (/.f64 -1/2 N) N)
(+.f64 N (/.f64 (*.f64 -1/2 N) N))
(fma.f64 N (/.f64 -1/2 N) N)

eval972.0ms (1.2%)

Compiler

Compiled 58424 to 35449 computations (39.3% saved)

prune459.0ms (0.5%)

Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New172661732
Fresh257
Picked101
Done11011
Total1730211751
Error
0.0b
Counts
1751 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
45.7b
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
29.5b
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (-.f64 1 (+.f64 1 (*.f64 (fma.f64 (log1p.f64 N) (/.f64 -1 (log.f64 N)) 1) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
✓29.2b
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (-.f64 1 (+.f64 1 (*.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
29.5b
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (fma.f64 (/.f64 1 (log.f64 N)) (log1p.f64 N) -1) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
✓29.2b
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
✓29.9b
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
47.3b
(pow.f64 (/.f64 (cbrt.f64 (fma.f64 (+.f64 -1/2 N) N 1/3)) N) 3)
✓31.2b
(pow.f64 N -1)
32.0b
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
✓46.5b
(/.f64 (-.f64 N 1/2) (*.f64 N N))
46.0b
(/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))
✓32.5b
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓31.2b
(/.f64 1 N)
✓29.2b
(-.f64 (log1p.f64 N) (log.f64 N))
✓30.8b
(-.f64 N (log.f64 N))
✓31.6b
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
32.5b
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
30.8b
(+.f64 N (log.f64 (/.f64 1 N)))
29.9b
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (+.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))
45.7b
(*.f64 (*.f64 (/.f64 -1 N) (/.f64 -1 N)) (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)))
61.1b
N
Compiler

Compiled 294 to 194 computations (34% saved)

regimes47.0ms (0.1%)

Counts
32 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(if (!=.f64 (/.f64 (-.f64 N 1/2) N) 0) (/.f64 (+.f64 (/.f64 1/4 N) (-.f64 N -1/2)) (*.f64 (/.f64 (*.f64 N (-.f64 (-.f64 -1/2 N) (/.f64 1/4 N))) (*.f64 (-.f64 (/.f64 1/2 N) 1) N)) N)) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(pow.f64 N -1)
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
(/.f64 (+.f64 (*.f64 (-.f64 N 1/2) N) 1/3) (pow.f64 N 3))
(-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N 2)) (/.f64 -1 N))
(/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))
(*.f64 (*.f64 (/.f64 -1 N) (/.f64 -1 N)) (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) N) N) (pow.f64 N 2)))
(pow.f64 (/.f64 (cbrt.f64 (fma.f64 (+.f64 -1/2 N) N 1/3)) N) 3)
(*.f64 (pow.f64 (pow.f64 N -1) 2) (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (neg.f64 (log.f64 N)) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (-.f64 1 (+.f64 1 (*.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (fma.f64 (/.f64 1 (log.f64 N)) (log1p.f64 N) -1) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (neg.f64 (log.f64 N)) (fma.f64 (log1p.f64 N) (/.f64 -1 (log.f64 N)) 1)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (-.f64 1 (+.f64 1 (*.f64 (fma.f64 (log1p.f64 N) (/.f64 -1 (log.f64 N)) 1) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (+.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log1p.f64 N))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log.f64 N)) (+.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))) (-.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log.f64 N))))
Outputs
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (-.f64 1 (+.f64 1 (*.f64 (fma.f64 (log1p.f64 N) (/.f64 -1 (log.f64 N)) 1) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
Calls

2 calls:

27.0ms
N
10.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
ErrorSegmentsBranch
0.0b2N
0.0b2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 486 to 268 computations (44.9% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2129897424273395e-5
0.002033107924340527
Compiler

Compiled 12 to 9 computations (25% saved)

regimes45.0ms (0.1%)

Counts
29 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(if (!=.f64 (/.f64 (-.f64 N 1/2) N) 0) (/.f64 (+.f64 (/.f64 1/4 N) (-.f64 N -1/2)) (*.f64 (/.f64 (*.f64 N (-.f64 (-.f64 -1/2 N) (/.f64 1/4 N))) (*.f64 (-.f64 (/.f64 1/2 N) 1) N)) N)) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(pow.f64 N -1)
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
(/.f64 (+.f64 (*.f64 (-.f64 N 1/2) N) 1/3) (pow.f64 N 3))
(-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N 2)) (/.f64 -1 N))
(/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))
(*.f64 (*.f64 (/.f64 -1 N) (/.f64 -1 N)) (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) N) N) (pow.f64 N 2)))
(pow.f64 (/.f64 (cbrt.f64 (fma.f64 (+.f64 -1/2 N) N 1/3)) N) 3)
(*.f64 (pow.f64 (pow.f64 N -1) 2) (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (neg.f64 (log.f64 N)) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (-.f64 1 (+.f64 1 (*.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (fma.f64 (/.f64 1 (log.f64 N)) (log1p.f64 N) -1) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (neg.f64 (log.f64 N)) (fma.f64 (log1p.f64 N) (/.f64 -1 (log.f64 N)) 1)) (-.f64 (log1p.f64 N) (log.f64 N)))
Outputs
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (fma.f64 (/.f64 1 (log.f64 N)) (log1p.f64 N) -1) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
Calls

2 calls:

26.0ms
N
10.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
ErrorSegmentsBranch
0.0b2N
0.0b2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 410 to 239 computations (41.7% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2129897424273395e-5
0.002033107924340527
Compiler

Compiled 12 to 9 computations (25% saved)

regimes40.0ms (0%)

Counts
27 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(if (!=.f64 (/.f64 (-.f64 N 1/2) N) 0) (/.f64 (+.f64 (/.f64 1/4 N) (-.f64 N -1/2)) (*.f64 (/.f64 (*.f64 N (-.f64 (-.f64 -1/2 N) (/.f64 1/4 N))) (*.f64 (-.f64 (/.f64 1/2 N) 1) N)) N)) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(pow.f64 N -1)
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
(/.f64 (+.f64 (*.f64 (-.f64 N 1/2) N) 1/3) (pow.f64 N 3))
(-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N 2)) (/.f64 -1 N))
(/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))
(*.f64 (*.f64 (/.f64 -1 N) (/.f64 -1 N)) (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) N) N) (pow.f64 N 2)))
(pow.f64 (/.f64 (cbrt.f64 (fma.f64 (+.f64 -1/2 N) N 1/3)) N) 3)
(*.f64 (pow.f64 (pow.f64 N -1) 2) (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)))
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (*.f64 (neg.f64 (log.f64 N)) (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(if (!=.f64 (neg.f64 (log.f64 N)) 0) (-.f64 1 (+.f64 1 (*.f64 (-.f64 1 (/.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))
Outputs
(+.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 N) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 N) 2)) (+.f64 (/.f64 1 N) (*.f64 -1/4 (pow.f64 (/.f64 -1 N) 4)))))
(-.f64 (log1p.f64 N) (log.f64 N))
Calls

2 calls:

23.0ms
N
9.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
ErrorSegmentsBranch
0.0b2N
0.0b2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 365 to 223 computations (38.9% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2129897424273395e-5
0.002033107924340527
Compiler

Compiled 12 to 9 computations (25% saved)

regimes33.0ms (0%)

Counts
22 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(if (!=.f64 (/.f64 (-.f64 N 1/2) N) 0) (/.f64 (+.f64 (/.f64 1/4 N) (-.f64 N -1/2)) (*.f64 (/.f64 (*.f64 N (-.f64 (-.f64 -1/2 N) (/.f64 1/4 N))) (*.f64 (-.f64 (/.f64 1/2 N) 1) N)) N)) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(pow.f64 N -1)
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
(/.f64 (+.f64 (*.f64 (-.f64 N 1/2) N) 1/3) (pow.f64 N 3))
(-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N 2)) (/.f64 -1 N))
(/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))
(*.f64 (*.f64 (/.f64 -1 N) (/.f64 -1 N)) (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) N) N) (pow.f64 N 2)))
(pow.f64 (/.f64 (cbrt.f64 (fma.f64 (+.f64 -1/2 N) N 1/3)) N) 3)
(*.f64 (pow.f64 (pow.f64 N -1) 2) (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)))
Outputs
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(-.f64 (log1p.f64 N) (log.f64 N))
Calls

2 calls:

19.0ms
N
8.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
ErrorSegmentsBranch
0.0b2N
0.0b2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 261 to 172 computations (34.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2129897424273395e-5
0.002033107924340527
Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0%)

Counts
16 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(if (!=.f64 (/.f64 (-.f64 N 1/2) N) 0) (/.f64 (+.f64 (/.f64 1/4 N) (-.f64 N -1/2)) (*.f64 (/.f64 (*.f64 N (-.f64 (-.f64 -1/2 N) (/.f64 1/4 N))) (*.f64 (-.f64 (/.f64 1/2 N) 1) N)) N)) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(pow.f64 N -1)
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
(fma.f64 -1/2 (/.f64 (/.f64 1 N) N) (/.f64 1 N))
(/.f64 (+.f64 (*.f64 (-.f64 N 1/2) N) 1/3) (pow.f64 N 3))
(-.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N 2)) (/.f64 -1 N))
(/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) (pow.f64 N 2))
(*.f64 (*.f64 (/.f64 -1 N) (/.f64 -1 N)) (+.f64 (fma.f64 (/.f64 -1/2 N) N N) (/.f64 1/3 N)))
Outputs
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (*.f64 N N)))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
Calls

1 calls:

15.0ms
N
Results
ErrorSegmentsBranch
0.4b2N
Compiler

Compiled 181 to 117 computations (35.4% saved)

bsearch16.0ms (0%)

Algorithm
1×binary-search
Steps
TimeLeftRight
16.0ms
0.03591203523269988
491.35797393655736
Results
14.0ms128×body256valid
Compiler

Compiled 228 to 153 computations (32.9% saved)

regimes13.0ms (0%)

Counts
10 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(if (!=.f64 (/.f64 (-.f64 N 1/2) N) 0) (/.f64 (+.f64 (/.f64 1/4 N) (-.f64 N -1/2)) (*.f64 (/.f64 (*.f64 N (-.f64 (-.f64 -1/2 N) (/.f64 1/4 N))) (*.f64 (-.f64 (/.f64 1/2 N) 1) N)) N)) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(pow.f64 N -1)
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
Outputs
(-.f64 N (log.f64 N))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
Calls

1 calls:

10.0ms
N
Results
ErrorSegmentsBranch
0.6b2N
Compiler

Compiled 106 to 68 computations (35.8% saved)

bsearch16.0ms (0%)

Algorithm
1×binary-search
Steps
TimeLeftRight
16.0ms
0.03591203523269988
491.35797393655736
Results
14.0ms128×body256valid
Compiler

Compiled 180 to 121 computations (32.8% saved)

regimes8.0ms (0%)

Accuracy

Total -31.5b remaining (-100.9%)

Threshold costs -31.5b (-100.9%)

Counts
8 → 1
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 N 1/2) (*.f64 N N))
(if (!=.f64 (/.f64 -1 N) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 N N)) N)) (/.f64 1 N))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 1/3 (*.f64 1/2 N)) N) N) N) N)
(if (!=.f64 (/.f64 (-.f64 N 1/2) N) 0) (/.f64 (+.f64 (/.f64 1/4 N) (-.f64 N -1/2)) (*.f64 (/.f64 (*.f64 N (-.f64 (-.f64 -1/2 N) (/.f64 1/4 N))) (*.f64 (-.f64 (/.f64 1/2 N) 1) N)) N)) (/.f64 (-.f64 N 1/2) (*.f64 N N)))
(pow.f64 N -1)
Outputs
(/.f64 1 N)
Calls

1 calls:

5.0ms
N
Results
ErrorSegmentsBranch
31.2b1N
Compiler

Compiled 96 to 62 computations (35.4% saved)

simplify5.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 252 to 179 computations (29% saved)

soundness0.0ms (0%)

end103.0ms (0.1%)

Compiler

Compiled 245 to 159 computations (35.1% saved)

Profiling

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