Details

Time bar (total: 20.9s)

analyze360.0ms (1.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.9%12.5%84.3%0.1%0%3.1%0%7
20.3%19.5%76.5%0.1%0%3.9%0%8
32.9%29.3%59.7%0.1%0.4%10.1%0.4%9
38.1%33.4%54.2%0.1%0.8%10.7%0.8%10
46.7%38.6%44.1%0.1%1.5%14.2%1.5%11
50.1%40.8%40.7%0.1%2%14.6%1.8%12
Compiler

Compiled 18 to 12 computations (33.3% saved)

sample5.6s (27%)

Results
2.5s1775×body2048valid
1.9s2715×body1024valid
400.0ms1237×body512valid
360.0ms2499×body256valid
128.0ms194×body1024infinite
112.0ms581×body256infinite
83.0ms222×body512infinite
82.0ms30×body4096valid
65.0ms573×body256invalid
16.0ms17×body2048infinite
Bogosity

preprocess96.0ms (0.5%)

Algorithm
egg-herbie
Rules
952×times-frac
948×associate-*r*
732×associate-*l*
720×associate-/l*
544×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01886
15086
212478
332478
4101278
5504578
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) 1) (/.f64 n i)))
Outputs
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i) n))
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) 1) (/.f64 n i)))
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) -1) (/.f64 n i)))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100) (/.f64 n i))
(*.f64 i (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100) n))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify58.0ms (0.3%)

Algorithm
egg-herbie
Rules
1228×associate-*r/
1200×associate-/r*
1140×*-commutative
1098×fma-def
942×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01243
13143
27039
317139
450839
5205539
6646939
Stop Event
node limit
Counts
1 → 6
Calls
Call 1
Inputs
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Outputs
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))

eval1.0ms (0%)

Compiler

Compiled 89 to 51 computations (42.7% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New246
Fresh011
Picked000
Done000
Total257
Error
45.4b
Counts
7 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
45.6b
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
45.5b
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
45.6b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
45.5b
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
Compiler

Compiled 67 to 45 computations (32.8% saved)

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
0.0b
(*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))
1.0b
(+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)
6.3b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
Compiler

Compiled 70 to 38 computations (45.7% saved)

series17.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
n
@0
(*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))
1.0ms
n
@0
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
1.0ms
i
@inf
(*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))
1.0ms
i
@-inf
(*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))
1.0ms
i
@inf
(pow.f64 (+.f64 1 (/.f64 i n)) n)

rewrite106.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1410×associate-/l*
808×distribute-rgt-in
768×distribute-lft-in
486×associate-/r/
356×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014124
1311124
24177124
Stop Event
node limit
Counts
4 → 142
Calls
Call 1
Inputs
(pow.f64 (+.f64 1 (/.f64 i n)) n)
(+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)
(*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 n) (pow.f64 (+.f64 1 (/.f64 i n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 i n))) n) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 i n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 i n))) 2) n) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 i n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (-.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) -1)) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))) (+.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) 3) (pow.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (-.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))) (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))))))))) (#(struct:change #<rule 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simplify151.0ms (0.7%)

Algorithm
egg-herbie
Rules
1046×associate-*r*
794×+-commutative
748×associate-*l*
718×*-commutative
638×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071118496
1215017400
Stop Event
node limit
Counts
238 → 451
Calls
Call 1
Inputs
1
(+.f64 1 i)
(+.f64 1 (+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 1 (+.f64 i (+.f64 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))))
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1
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(exp.f64 i)
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(exp.f64 i)
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i
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(-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)
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(-.f64 (exp.f64 i) 1)
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(-.f64 (exp.f64 i) 1)
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n
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(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 2) (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (/.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))) (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))))) (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))) (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))) (*.f64 1 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))))
(/.f64 (+.f64 1 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (/.f64 1 (-.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) 1) (*.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (-.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (*.f64 1 (-.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) 1) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) -1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) 3) 1) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (+.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) 1)))))
(pow.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 3))
(expm1.f64 (log.f64 (+.f64 0 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))
(fma.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))) 1)
(/.f64 1 (/.f64 i (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(/.f64 1 (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) n))
(/.f64 n (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n))
(/.f64 (sqrt.f64 n) (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (sqrt.f64 n)))
(/.f64 (sqrt.f64 n) (/.f64 i (*.f64 (sqrt.f64 n) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(/.f64 (cbrt.f64 n) (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (cbrt.f64 n)))
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 i (*.f64 (cbrt.f64 n) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) i)
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 (neg.f64 i) n))
(/.f64 (sqrt.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) (/.f64 i (sqrt.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) (cbrt.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))) (/.f64 i (cbrt.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))))
(/.f64 (*.f64 n (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) (/.f64 i (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(/.f64 (*.f64 n (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 2)) (/.f64 i (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(/.f64 (*.f64 n (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))) (+.f64 (*.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n)) i))
(/.f64 (*.f64 n (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))) (*.f64 i (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))))
(/.f64 (*.f64 n (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) n) (neg.f64 i))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 (sqrt.f64 i) n)) (sqrt.f64 i))
(/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) (cbrt.f64 i))
(/.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) (/.f64 i (*.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))))
(/.f64 (neg.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) (neg.f64 i))
(pow.f64 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)) 1)
(pow.f64 (sqrt.f64 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))) 2)
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))) 3)
(pow.f64 (pow.f64 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)) 2))
(log.f64 (pow.f64 (exp.f64 n) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))))
(cbrt.f64 (pow.f64 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)) 3))
(cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))))
(exp.f64 (log.f64 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))) 1))
(log1p.f64 (expm1.f64 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))) 1)
(/.f64 1 (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (*.f64 n 100)))
(/.f64 n (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 100))
(/.f64 100 (/.f64 i (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(/.f64 100 (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) n))
(/.f64 (*.f64 n 100) (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))
(/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i 100))
(/.f64 (sqrt.f64 (*.f64 n 100)) (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (sqrt.f64 (*.f64 n 100))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 n 100)) (cbrt.f64 (*.f64 n 100))) (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (cbrt.f64 (*.f64 n 100))))
(/.f64 (*.f64 (*.f64 n 100) 1) (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) i)
(/.f64 (*.f64 100 (sqrt.f64 n)) (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (sqrt.f64 n)))
(/.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (cbrt.f64 n)))
(/.f64 (*.f64 100 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) i)
(/.f64 (*.f64 (*.f64 n 100) (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 100) i)
(pow.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 n) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)) 100))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
Outputs
1
(+.f64 1 i)
(+.f64 1 (+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 1 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(+.f64 (+.f64 1 i) (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))
(+.f64 1 (+.f64 i (+.f64 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 1 (+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))))))
(+.f64 1 (+.f64 i (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))
(pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))
(pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))
(+.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))
(+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))))
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))))
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1
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(exp.f64 i)
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(exp.f64 i)
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i
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(-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)
(expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))
(expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 1)
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(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 1 (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (*.f64 n 100)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 n (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 100))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 100 (/.f64 i (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 100 (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) n))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (*.f64 n 100) (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i 100))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (sqrt.f64 (*.f64 n 100)) (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (sqrt.f64 (*.f64 n 100))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 n 100)) (/.f64 i (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) (sqrt.f64 (*.f64 n 100)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 n 100)) (sqrt.f64 (*.f64 n 100))) (/.f64 i (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 n 100)) (cbrt.f64 (*.f64 n 100))) (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (cbrt.f64 (*.f64 n 100))))
(/.f64 (cbrt.f64 (*.f64 n 100)) (/.f64 (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (cbrt.f64 (*.f64 n 100))) (cbrt.f64 (*.f64 n 100))))
(*.f64 (cbrt.f64 (*.f64 n 100)) (*.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 n 100)) (cbrt.f64 (*.f64 n 100))) i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (*.f64 (*.f64 n 100) 1) (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) i)
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (*.f64 100 (sqrt.f64 n)) (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (sqrt.f64 n)))
(*.f64 (/.f64 (*.f64 100 (sqrt.f64 n)) (/.f64 i (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 n) (*.f64 (/.f64 (*.f64 100 (sqrt.f64 n)) i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 i (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (cbrt.f64 n)))
(/.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 i (cbrt.f64 n)) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(*.f64 (/.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (/.f64 i (cbrt.f64 n))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))
(/.f64 (*.f64 100 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) i)
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (*.f64 (*.f64 n 100) (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 n 100)) (neg.f64 i))
(*.f64 (/.f64 (*.f64 n 100) (neg.f64 i)) (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))
(/.f64 (*.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 100) i)
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(pow.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 1)
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))) 2)
(pow.f64 (sqrt.f64 (*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) 3)
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 3) 1/3)
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100))) 2))
(sqrt.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 n) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)) 100))
(*.f64 100 (*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (log.f64 (exp.f64 n))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 3))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))) 1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 n 100) i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n (/.f64 i 100)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
1.0b
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
6.3b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
11.6b
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 58 to 29 computations (50% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
i
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
0.0ms
n
@0
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
0.0ms
i
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
0.0ms
n
@0
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
0.0ms
i
@-inf
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))

rewrite101.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1450×associate-/r/
898×associate-/l/
662×distribute-rgt-in
620×distribute-lft-in
284×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012105
127793
2402293
Stop Event
node limit
Counts
3 → 172
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (*.f64 -1 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (*.f64 1 (neg.f64 (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (*.f64 (/.f64 n i) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 n i)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 n i)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 n i) -1) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) 1) (*.f64 (neg.f64 (/.f64 n i)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) (sqrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) (pow.f64 (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) 2) (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (#(struct:change 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simplify157.0ms (0.8%)

Algorithm
egg-herbie
Rules
1422×associate-*r*
1220×associate-*l*
1170×associate-/l*
1012×*-commutative
854×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078218238
1249218030
Stop Event
node limit
Counts
244 → 431
Calls
Call 1
Inputs
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
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(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4)))))
(/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)
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(pow.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)) 1)
(pow.f64 (sqrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) 2)
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) 3)
(pow.f64 (pow.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) -1)
(neg.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (neg.f64 i) n)))
(sqrt.f64 (pow.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)) n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)))))
(cbrt.f64 (pow.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 3) (pow.f64 (/.f64 i n) 3)))
(expm1.f64 (log1p.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))))
(exp.f64 (log.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) 1))
(log1p.f64 (expm1.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))))
(+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))
(*.f64 1 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 1)
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2) (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) -1) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1)))
(*.f64 (+.f64 1 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (-.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) -1))
(*.f64 (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1)) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) -1)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) -1) (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))) (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) -1) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))) (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) 3) (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (-.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))))))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))))
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) -1) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (+.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (*.f64 1 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) -1)) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) -1)) (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))) (*.f64 1 (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) 1) (*.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) 1) (*.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) 1) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) 3) 1) (*.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (+.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) 3) 1) (*.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) (+.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) 3) 1) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (+.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) 1)))))
(pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 3))
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(fma.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -1)
(+.f64 (*.f64 100 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i))) (*.f64 100 (neg.f64 (/.f64 n i))))
(+.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) 100) (*.f64 (neg.f64 (/.f64 n i)) 100))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)))) 1)
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(/.f64 (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) -100) (*.f64 (/.f64 i n) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) -100) (*.f64 (/.f64 i n) (+.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1)))
(/.f64 (*.f64 100 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (/.f64 (neg.f64 i) n))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) (/.f64 (neg.f64 i) n))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (sqrt.f64 (/.f64 n i))) (sqrt.f64 (/.f64 i n)))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (/.f64 i n)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (/.f64 (neg.f64 i) n))
(pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 1)
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))) 2)
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))) 3)
(pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 2))
(log.f64 (pow.f64 (exp.f64 100) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)))))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 3))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))))
(exp.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))))
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))) 1))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))))
Outputs
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))))
(+.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)))
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 n (*.f64 n (+.f64 (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(+.f64 n (*.f64 n (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))))))
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(+.f64 n (fma.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/24 (/.f64 11/24 (*.f64 n n))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))))))))
(+.f64 n (fma.f64 n (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))) (*.f64 n (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)
(/.f64 (*.f64 n (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) i)
(*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
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(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1))
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(fma.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -1)
(+.f64 (*.f64 100 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i))) (*.f64 100 (neg.f64 (/.f64 n i))))
(*.f64 100 (*.f64 (/.f64 n i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(+.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) 100) (*.f64 (neg.f64 (/.f64 n i)) 100))
(*.f64 100 (*.f64 (/.f64 n i) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)))) 1)
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(/.f64 (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) -100) (*.f64 (/.f64 i n) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) -100) (*.f64 (/.f64 i n) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) -100) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (/.f64 i n))
(/.f64 (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) -100) (*.f64 (/.f64 i n) (+.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1)))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) -100) (*.f64 (/.f64 i n) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))))))
(/.f64 (*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) -100) i) n) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))))
(/.f64 (*.f64 100 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (/.f64 (neg.f64 i) n))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) (/.f64 (neg.f64 i) n))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (sqrt.f64 (/.f64 n i))) (sqrt.f64 (/.f64 i n)))
(/.f64 (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 (sqrt.f64 (/.f64 i n)) (sqrt.f64 (/.f64 n i))))
(/.f64 100 (/.f64 (/.f64 (sqrt.f64 (/.f64 i n)) (sqrt.f64 (/.f64 n i))) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (/.f64 i n)))
(/.f64 (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (*.f64 (cbrt.f64 (/.f64 i n)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)))
(/.f64 100 (/.f64 (*.f64 (cbrt.f64 (/.f64 i n)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (/.f64 (neg.f64 i) n))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 1)
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))) 2)
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 2)
(pow.f64 (sqrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))) 3)
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 3) 1/3)
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 2))
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))) 2))
(sqrt.f64 (pow.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))) 2))
(log.f64 (pow.f64 (exp.f64 100) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))))
(*.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)) (log.f64 (exp.f64 100)))
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (log.f64 (exp.f64 100))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)))))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 3))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(exp.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))) 1))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
1.0b
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
6.3b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
Compiler

Compiled 58 to 32 computations (44.8% saved)

series8.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
n
@0
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
1.0ms
i
@-inf
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
1.0ms
n
@0
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
1.0ms
i
@inf
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
1.0ms
i
@-inf
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)

rewrite94.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1808×associate-*l/
1554×associate-/r*
1156×associate-/l*
302×add-sqr-sqrt
290×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01466
130166
2388466
Stop Event
node limit
Counts
2 → 134
Calls
Call 1
Inputs
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -100 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -100 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1) -100)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2) (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) 10000) (-.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1000000 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 3)) (+.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (-.f64 10000 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) 10000) 1) (-.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1000000 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 3)) 1) (+.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (-.f64 10000 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))))
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simplify109.0ms (0.5%)

Algorithm
egg-herbie
Rules
1306×associate-/l*
980×times-frac
910×associate-*r*
684×*-commutative
678×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063413138
1182712692
Stop Event
node limit
Counts
182 → 309
Calls
Call 1
Inputs
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)))))) 100)
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))))) 100)
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
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(/.f64 (/.f64 n (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2))) (/.f64 i (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))
(/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))) (/.f64 (sqrt.f64 i) (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))
(/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2))) (/.f64 (sqrt.f64 i) (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))
(/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))) (/.f64 (cbrt.f64 i) (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))
(/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2))) (/.f64 (cbrt.f64 i) (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))
(/.f64 (/.f64 (*.f64 n (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 1) (neg.f64 i))
(/.f64 (/.f64 (*.f64 n (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (sqrt.f64 i)) (neg.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (*.f64 n (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (pow.f64 (cbrt.f64 i) 2)) (neg.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (*.f64 n (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (*.f64 n (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (*.f64 (cbrt.f64 (neg.f64 i)) (cbrt.f64 (neg.f64 i)))) (cbrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (*.f64 n (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) -1) i)
(/.f64 (/.f64 (*.f64 n (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 (*.f64 n (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(/.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) n) 1) (neg.f64 i))
(/.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) n) (sqrt.f64 i)) (neg.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) n) (pow.f64 (cbrt.f64 i) 2)) (neg.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) n) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) n) (*.f64 (cbrt.f64 (neg.f64 i)) (cbrt.f64 (neg.f64 i)))) (cbrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) n) -1) i)
(/.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) n) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) n) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(/.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 1 n)) 1) i)
(/.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 1 n)) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 (sqrt.f64 i) n)) 1) (sqrt.f64 i))
(/.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 (sqrt.f64 i) n)) (cbrt.f64 i)) (cbrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 (sqrt.f64 i) n)) (sqrt.f64 (sqrt.f64 i))) (sqrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 (sqrt.f64 i) n)) (sqrt.f64 (pow.f64 (cbrt.f64 i) 2))) (sqrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 1) (cbrt.f64 i))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (sqrt.f64 (cbrt.f64 i))) (sqrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (cbrt.f64 (sqrt.f64 i))) (cbrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (*.f64 (cbrt.f64 (cbrt.f64 i)) (cbrt.f64 (cbrt.f64 i)))) (cbrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (cbrt.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 1) (neg.f64 i))
(/.f64 (/.f64 (neg.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (sqrt.f64 i)) (neg.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (pow.f64 (cbrt.f64 i) 2)) (neg.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (*.f64 (cbrt.f64 (neg.f64 i)) (cbrt.f64 (neg.f64 i)))) (cbrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) -1) i)
(/.f64 (/.f64 (neg.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 (neg.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(pow.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 2))
(log.f64 (exp.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 3))
(cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(exp.f64 (log.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
Outputs
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 100 (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(fma.f64 100 (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (fma.f64 100 i (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (/.f64 11/24 (*.f64 n n))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))))))))
(fma.f64 100 (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) (*.f64 100 (+.f64 i (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 (pow.f64 i 4) (+.f64 (/.f64 11/24 (*.f64 n n)) (-.f64 1/24 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))))))))
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)
(fma.f64 100 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) -100)
(fma.f64 100 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) -100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) 100)
(+.f64 (*.f64 100 (+.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))) -100)
(+.f64 (*.f64 100 (+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))))) -100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) 100)
(+.f64 (fma.f64 100 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (*.f64 i i) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))))) (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))))) -100)
(+.f64 (*.f64 100 (+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (+.f64 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 (*.f64 i i) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))))) -100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)))))) 100)
(+.f64 (fma.f64 100 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 100 (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (*.f64 i i) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))))) (*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (pow.f64 i 3) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 1/3 (pow.f64 n 4)))))))))) -100)
(+.f64 (*.f64 100 (+.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 (*.f64 i i) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))))) (+.f64 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (pow.f64 i 3)) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 1/3 (pow.f64 n 4)))))))) (fma.f64 100 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) -100))
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)
(fma.f64 100 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) -100)
(fma.f64 100 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) -100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) 100)
(+.f64 (*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) -100)
(+.f64 (*.f64 100 (+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))) -100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) 100)
(+.f64 (fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) -100)
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(pow.f64 (pow.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 3) 1/3)
(*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 2))
(sqrt.f64 (pow.f64 (*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)) 2))
(log.f64 (exp.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)))))
(*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 3))
(*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) 3) (pow.f64 n 3)))
(cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(exp.f64 (log.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))) 1))
(*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)
6.3b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
11.6b
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
Compiler

Compiled 57 to 31 computations (45.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
i
@inf
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
0.0ms
i
@-inf
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
0.0ms
n
@0
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
0.0ms
i
@0
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
0.0ms
n
@inf
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))

rewrite81.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1274×associate-/r/
1028×associate-/l/
764×distribute-rgt-in
724×distribute-lft-in
298×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01343
129939
2417839
Stop Event
node limit
Counts
1 → 93
Calls
Call 1
Inputs
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
Outputs
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simplify200.0ms (1%)

Algorithm
egg-herbie
Rules
832×associate-*r*
806×+-commutative
752×associate-+r+
752×*-commutative
704×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04647511
114267151
262567091
Stop Event
node limit
Counts
117 → 193
Calls
Call 1
Inputs
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(+.f64 (*.f64 (/.f64 n i) -100) (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(+.f64 (*.f64 (/.f64 n i) (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1)) (*.f64 (/.f64 n i) -100))
(+.f64 (*.f64 (*.f64 100 (/.f64 n i)) (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (*.f64 100 (/.f64 n i)) -1))
(+.f64 (*.f64 (*.f64 100 (/.f64 n i)) -1) (*.f64 (*.f64 100 (/.f64 n i)) (pow.f64 (+.f64 1 (/.f64 i n)) n)))
(+.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n i)) (*.f64 -100 (/.f64 n i)))
(+.f64 (*.f64 -100 (/.f64 n i)) (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n i)))
(+.f64 (*.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1) (/.f64 n i)) (*.f64 -100 (/.f64 n i)))
(+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 100 (/.f64 n i))) (*.f64 -1 (*.f64 100 (/.f64 n i))))
(+.f64 (*.f64 -1 (*.f64 100 (/.f64 n i))) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 100 (/.f64 n i))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)))) 1)
(*.f64 100 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 n i)))
(*.f64 1 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (*.f64 100 (/.f64 n i)))
(*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))
(*.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 1)
(*.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (*.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))) (sqrt.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2) (*.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))) 2) (cbrt.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) n)
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(*.f64 (+.f64 100 (*.f64 -100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 -1 (/.f64 n i)))
(*.f64 (*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) 1) n)
(*.f64 (*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 n i)) 100)
(*.f64 (/.f64 1 i) (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) n))
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 n i))) (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (sqrt.f64 (/.f64 n i))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (cbrt.f64 (/.f64 n i))))
(*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))
(*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (cbrt.f64 i)))
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (sqrt.f64 (/.f64 n i))) (*.f64 100 (sqrt.f64 (/.f64 n i))))
(*.f64 (/.f64 1 (neg.f64 i)) (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (neg.f64 n)))
(*.f64 (*.f64 100 (/.f64 n i)) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))
(*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (neg.f64 i)) (neg.f64 n))
(*.f64 (*.f64 -1 (/.f64 n i)) (+.f64 100 (*.f64 -100 (pow.f64 (+.f64 1 (/.f64 i n)) n))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i) (*.f64 100 n))
(*.f64 (/.f64 100 i) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) n))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 1) (*.f64 (/.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i) n))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i) (/.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 1 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 i n)))
(*.f64 (*.f64 100 (sqrt.f64 (/.f64 n i))) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (sqrt.f64 (/.f64 n i))))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (cbrt.f64 (/.f64 n i))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (*.f64 100 (cbrt.f64 (/.f64 n i))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i) n) (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (cbrt.f64 (/.f64 i n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2) i) (/.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 1 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2) (sqrt.f64 (/.f64 i n))) (/.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (sqrt.f64 (/.f64 i n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(*.f64 (/.f64 100 (/.f64 (neg.f64 i) n)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))
(*.f64 (/.f64 100 (neg.f64 i)) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (neg.f64 n)))
(*.f64 (/.f64 100 (/.f64 (/.f64 i n) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))
(*.f64 (/.f64 100 (/.f64 i (*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 2) n))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)))
(*.f64 (/.f64 1 (/.f64 i (*.f64 100 n))) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))
(*.f64 (/.f64 1 (/.f64 i (*.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) n))) (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))
(*.f64 (/.f64 1 (/.f64 (/.f64 i n) (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2))) (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))
(*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) -1) (neg.f64 (/.f64 n i)))
(*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i 1)) n)
(*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i (sqrt.f64 n))) (sqrt.f64 n))
(*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (neg.f64 (neg.f64 i))) (neg.f64 (neg.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2) (/.f64 i n)) (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))
(*.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) 1) n)
(*.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) 1) (/.f64 n 1))
(*.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) -1) (neg.f64 n))
(*.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) (/.f64 1 (sqrt.f64 n))) (sqrt.f64 n))
(*.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(*.f64 (/.f64 (+.f64 100 (*.f64 -100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) -1) (/.f64 n i))
(*.f64 (/.f64 (+.f64 100 (*.f64 -100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (neg.f64 (neg.f64 i))) (neg.f64 n))
(*.f64 (/.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (sqrt.f64 (/.f64 n i))) 1) (sqrt.f64 (/.f64 n i)))
(*.f64 (/.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (sqrt.f64 (/.f64 n i))) (sqrt.f64 i)) (sqrt.f64 n))
(*.f64 (/.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (sqrt.f64 (/.f64 n i))) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 n)))
(*.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) 1) (cbrt.f64 (/.f64 n i)))
(*.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 i)) (cbrt.f64 n))
(*.f64 (/.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (neg.f64 i))) (cbrt.f64 (neg.f64 n)))
(pow.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 3) 1/3)
(pow.f64 (/.f64 i (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) n)) -1)
(neg.f64 (*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (neg.f64 i)) n))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3) (pow.f64 (/.f64 i n) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(exp.f64 (log.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
Outputs
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n))) n))
(*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(fma.f64 100 (*.f64 (*.f64 n (*.f64 i i)) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 100 (+.f64 (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n))) n)))
(*.f64 100 (+.f64 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n) (*.f64 (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 n (*.f64 i i)))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(fma.f64 100 (*.f64 n (*.f64 (+.f64 1/24 (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 i 3))) (fma.f64 100 (*.f64 (*.f64 n (*.f64 i i)) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 100 (+.f64 (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n))) n))))
(+.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)) (*.f64 (*.f64 100 n) (+.f64 (*.f64 (+.f64 1/24 (-.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 i 3)) (*.f64 i (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n))))))))
(*.f64 100 (+.f64 (*.f64 n (*.f64 (*.f64 i i) (+.f64 (*.f64 i (+.f64 1/24 (-.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))))) (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))))) (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (neg.f64 (log.f64 (/.f64 n i)))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))
(*.f64 100 (+.f64 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 (pow.f64 n 3) i))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (neg.f64 (log.f64 (/.f64 n i)))))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (neg.f64 (log.f64 (/.f64 n i)))) i) (/.f64 (pow.f64 n 3) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (*.f64 100 (+.f64 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))) (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))))))
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(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (neg.f64 (log.f64 (/.f64 n i)))) i) (/.f64 (pow.f64 n 3) i)) (*.f64 (/.f64 n i) (+.f64 (expm1.f64 (*.f64 n (neg.f64 (log.f64 (/.f64 n i))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (neg.f64 (log.f64 (/.f64 n i)))) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2))) (*.f64 i i))))))
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(*.f64 (/.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (sqrt.f64 (/.f64 n i))) 1) (sqrt.f64 (/.f64 n i)))
(*.f64 (sqrt.f64 (/.f64 n i)) (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (sqrt.f64 (/.f64 n i))))
(*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (*.f64 (sqrt.f64 (/.f64 n i)) (sqrt.f64 (/.f64 n i))))
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(/.f64 (*.f64 (sqrt.f64 (neg.f64 n)) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 (sqrt.f64 (neg.f64 i)) (sqrt.f64 (/.f64 n i))))
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(sqrt.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2))
(fabs.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)))))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 3))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
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(expm1.f64 (log1p.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(exp.f64 (log.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))) 1))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))

eval1.7s (7.9%)

Compiler

Compiled 65492 to 38507 computations (41.2% saved)

prune739.0ms (3.5%)

Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New1733191752
Fresh000
Picked011
Done213
Total1735211756
Error
0b
Counts
1756 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
17.8b
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
17.4b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
45.6b
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
54.0b
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
51.2b
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
55.6b
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))
34.9b
(/.f64 (*.f64 100 i) (/.f64 i n))
17.4b
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
54.2b
(/.f64 100 (/.f64 i (*.f64 (*.f64 n n) (neg.f64 (log.f64 (/.f64 n i))))))
19.4b
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
19.5b
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
28.2b
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
18.6b
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
47.7b
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i))
31.5b
(*.f64 n (/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) i))
27.7b
(*.f64 n (/.f64 (*.f64 100 i) i))
27.6b
(*.f64 n 100)
34.8b
(*.f64 100 (/.f64 i (/.f64 i n)))
31.4b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))))
17.7b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
45.5b
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
Compiler

Compiled 582 to 405 computations (30.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
5.3b
(log1p.f64 (/.f64 i n))
11.6b
(/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
11.7b
(*.f64 n (log1p.f64 (/.f64 i n)))
Compiler

Compiled 49 to 10 computations (79.6% saved)

series20.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
i
@-inf
(/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
3.0ms
n
@-inf
(/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
3.0ms
i
@inf
(/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
2.0ms
n
@0
(/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
2.0ms
n
@inf
(*.f64 n (log1p.f64 (/.f64 i n)))

rewrite123.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1122×associate-/r/
994×unswap-sqr
912×swap-sqr
668×associate-/l/
458×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012100
1257100
23456100
Stop Event
node limit
Counts
4 → 203
Calls
Call 1
Inputs
(*.f64 n (log1p.f64 (/.f64 i n)))
(/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
(log1p.f64 (/.f64 i n))
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
Outputs
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simplify305.0ms (1.5%)

Algorithm
egg-herbie
Rules
1724×associate-*r*
1468×associate-*l*
1034×associate-*r/
948×associate-/r*
914×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096823309
1306423275
Stop Event
node limit
Counts
299 → 493
Calls
Call 1
Inputs
(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (/.f64 (pow.f64 n 2) i))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (/.f64 (pow.f64 n 2) i))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (/.f64 (pow.f64 n 2) i))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
(/.f64 1 n)
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(*.f64 (*.f64 (*.f64 100 (/.f64 n i)) (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (*.f64 (*.f64 100 (/.f64 n i)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2)) (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 n i))
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 100 i) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (pow.f64 n -1)))
(*.f64 (*.f64 100 (sqrt.f64 (/.f64 n i))) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (sqrt.f64 (/.f64 i n))))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (cbrt.f64 (/.f64 i n))))
(*.f64 (*.f64 1 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))) (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) (*.f64 100 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))))
(*.f64 (/.f64 100 (neg.f64 i)) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (neg.f64 n)))
(*.f64 (*.f64 -100 (/.f64 n i)) (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 1 i) (*.f64 100 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))
(*.f64 (/.f64 (neg.f64 n) i) (*.f64 100 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))
(*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (neg.f64 n) i)) -100)
(*.f64 (/.f64 100 (sqrt.f64 i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (sqrt.f64 i)))
(*.f64 (/.f64 100 (cbrt.f64 (*.f64 i i))) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (cbrt.f64 i)))
(*.f64 (/.f64 100 (*.f64 i (/.f64 1 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) n)
(*.f64 (/.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (neg.f64 n))
(*.f64 (/.f64 100 (/.f64 i (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) n)
(*.f64 (/.f64 100 (/.f64 i (*.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) n))) (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 100 (/.f64 i (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2) n))) (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 (*.f64 100 (/.f64 n i)) 1) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
(*.f64 (/.f64 (*.f64 100 (/.f64 n i)) 1) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 1))
(*.f64 (/.f64 (*.f64 100 (/.f64 n i)) (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 (*.f64 100 (/.f64 n i)) (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2))) (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 (*.f64 100 (/.f64 n i)) -1) (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 -100 (neg.f64 i)) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 -100 (/.f64 i n)) (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) i) n)
(*.f64 (/.f64 (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1) (/.f64 n i))
(*.f64 (/.f64 (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))
(*.f64 (/.f64 (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (cbrt.f64 (*.f64 i i))) (/.f64 n (cbrt.f64 i)))
(*.f64 (/.f64 (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (neg.f64 i)) (neg.f64 n))
(*.f64 (/.f64 (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 i 1)) n)
(*.f64 (/.f64 (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 i (sqrt.f64 n))) (sqrt.f64 n))
(*.f64 (/.f64 (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 i (cbrt.f64 (*.f64 n n)))) (cbrt.f64 n))
(*.f64 (/.f64 (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) -1) (/.f64 (neg.f64 n) i))
(*.f64 (/.f64 (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))) 1) (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))
(*.f64 (/.f64 (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))) (sqrt.f64 i)) (sqrt.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))
(*.f64 (/.f64 (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))) (sqrt.f64 (/.f64 i n))) (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))) (sqrt.f64 (/.f64 i (neg.f64 n)))) (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))
(*.f64 (/.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) 1) (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))
(*.f64 (/.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) (cbrt.f64 i)) (cbrt.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))
(*.f64 (/.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) (cbrt.f64 (/.f64 i n))) (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) (cbrt.f64 (/.f64 i (neg.f64 n)))) (cbrt.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (sqrt.f64 (*.f64 100 (/.f64 n i)))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (sqrt.f64 (*.f64 100 (/.f64 n i)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))))) (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))))) (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))) (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))))) (*.f64 (cbrt.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))) (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 2))) (*.f64 (cbrt.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) (sqrt.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))))) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) (sqrt.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 2)) (cbrt.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 2)) (cbrt.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))))))
(pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))) 1)
(pow.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 3)
(pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1/100) -1)
(neg.f64 (*.f64 (*.f64 -100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(sqrt.f64 (/.f64 10000 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2)))
(log.f64 (pow.f64 (exp.f64 (*.f64 100 (/.f64 n i))) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))))))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))) 3))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))))
(exp.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))))
Outputs
(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))
(*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (/.f64 (pow.f64 n 2) i))
(fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (+.f64 (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i)) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i)) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i)) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))
(*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (/.f64 (pow.f64 n 2) i))
(fma.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))) (/.f64 (*.f64 n n) i))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (fma.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i))))
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) 2)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 2)) (cbrt.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 2)) (cbrt.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 10)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) 2))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 10)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) 2))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 10)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 10)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) 2)))))
(pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))) 1)
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(pow.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))) 2)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 10) 2)
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 3)
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))) 3) 1/3)
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(pow.f64 (*.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1/100) -1)
(/.f64 1 (/.f64 (*.f64 (/.f64 i n) 1/100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))
(neg.f64 (*.f64 (*.f64 -100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(sqrt.f64 (/.f64 10000 (pow.f64 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2)))
(sqrt.f64 (/.f64 10000 (pow.f64 (/.f64 i (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)))
(log.f64 (pow.f64 (exp.f64 (*.f64 100 (/.f64 n i))) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (log.f64 (pow.f64 (exp.f64 100) (/.f64 n i))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))))))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))) 3))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(exp.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 1))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize45.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
11.6b
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
Compiler

Compiled 27 to 20 computations (25.9% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
i
@0
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
0.0ms
i
@inf
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
0.0ms
i
@-inf
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
0.0ms
n
@-inf
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
0.0ms
n
@inf
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))

rewrite55.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1492×add-sqr-sqrt
1474×*-un-lft-identity
1378×add-cube-cbrt
1364×add-cbrt-cube
1354×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121
12041
219491
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
Stop Event
saturated
Counts
25 → 1
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Outputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
7.8b
(/.f64 (*.f64 n (expm1.f64 i)) i)
Compiler

Compiled 25 to 8 computations (68% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
i
@-inf
(/.f64 (*.f64 n (expm1.f64 i)) i)
1.0ms
n
@0
(/.f64 (*.f64 n (expm1.f64 i)) i)
1.0ms
i
@inf
(/.f64 (*.f64 n (expm1.f64 i)) i)
0.0ms
n
@inf
(/.f64 (*.f64 n (expm1.f64 i)) i)
0.0ms
i
@0
(/.f64 (*.f64 n (expm1.f64 i)) i)

rewrite109.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1464×associate-/r*
1328×associate-*r/
1248×associate-/l*
1010×*-commutative
954×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
120540
2263640
Stop Event
node limit
Counts
2 → 219
Calls
Call 1
Inputs
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 n i) (exp.f64 i)) (*.f64 (/.f64 n i) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 i) (/.f64 n i)) (*.f64 -1 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (expm1.f64 i)) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (expm1.f64 i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (pow.f64 (cbrt.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2) (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (/.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (*.f64 n (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (neg.f64 (expm1.f64 i))) (/.f64 -1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) i) (sqrt.f64 (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) i) (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) i) (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) i) (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 n (/.f64 (sqrt.f64 i) (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (/.f64 (cbrt.f64 i) (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (/.f64 (sqrt.f64 i) (expm1.f64 i))) (/.f64 1 (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (/.f64 (cbrt.f64 i) (expm1.f64 i))) (/.f64 1 (pow.f64 (cbrt.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) (/.f64 n 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (cbrt.f64 i)) (/.f64 n (pow.f64 (cbrt.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (/.f64 (expm1.f64 i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 i) (*.f64 n (neg.f64 (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n 1) (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (sqrt.f64 i)) (/.f64 (expm1.f64 i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (cbrt.f64 i)) (/.f64 (expm1.f64 i) (pow.f64 (cbrt.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) 1) (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (cbrt.f64 i)) (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (pow.f64 (cbrt.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) 1) (/.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) (sqrt.f64 i)))))) (#(struct:change 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simplify156.0ms (0.7%)

Algorithm
egg-herbie
Rules
1552×associate-/l*
1014×associate-/l/
752×times-frac
650×associate-/r/
644×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05687547
114957485
271797477
Stop Event
node limit
Counts
267 → 315
Calls
Call 1
Inputs
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 (/.f64 n i) (exp.f64 i)) (*.f64 (/.f64 n i) -1))
(+.f64 (*.f64 (exp.f64 i) (/.f64 n i)) (*.f64 -1 (/.f64 n i)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) 1)
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 (*.f64 n (expm1.f64 i)) (/.f64 1 i))
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 1)
(*.f64 1 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))
(*.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) i))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2) (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (/.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) i))
(*.f64 (/.f64 1 i) (*.f64 n (expm1.f64 i)))
(*.f64 (*.f64 n (neg.f64 (expm1.f64 i))) (/.f64 -1 i))
(*.f64 (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) i) (sqrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) i) (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) 1))
(*.f64 (/.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) i) (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) i) (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 n (/.f64 (sqrt.f64 i) (expm1.f64 i))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (/.f64 (cbrt.f64 i) (expm1.f64 i))))
(*.f64 (/.f64 n (/.f64 (sqrt.f64 i) (expm1.f64 i))) (/.f64 1 (sqrt.f64 i)))
(*.f64 (/.f64 n (/.f64 (cbrt.f64 i) (expm1.f64 i))) (/.f64 1 (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 n 1))
(*.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))
(*.f64 (/.f64 (expm1.f64 i) (cbrt.f64 i)) (/.f64 n (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (/.f64 n i) (/.f64 (expm1.f64 i) 1))
(*.f64 (/.f64 -1 i) (*.f64 n (neg.f64 (expm1.f64 i))))
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(/.f64 (/.f64 (*.f64 100 (*.f64 n (neg.f64 (expm1.f64 i)))) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) 1/100) 1) i)
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) 1/100) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (*.f64 (expm1.f64 i) 100))) 1) (sqrt.f64 i))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (*.f64 (expm1.f64 i) 100))) (cbrt.f64 i)) (cbrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (*.f64 (expm1.f64 i) 100))) (sqrt.f64 (pow.f64 (cbrt.f64 i) 2))) (sqrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (*.f64 (expm1.f64 i) 100))) (sqrt.f64 (sqrt.f64 i))) (sqrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) 1) (cbrt.f64 i))
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (sqrt.f64 (cbrt.f64 i))) (sqrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (cbrt.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (*.f64 (cbrt.f64 (cbrt.f64 i)) (cbrt.f64 (cbrt.f64 i)))) (cbrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (cbrt.f64 (sqrt.f64 i))) (cbrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) 1) (neg.f64 i))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) (sqrt.f64 i)) (neg.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) (pow.f64 (cbrt.f64 i) 2)) (neg.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) (*.f64 (cbrt.f64 (neg.f64 i)) (cbrt.f64 (neg.f64 i)))) (cbrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) -1) i)
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 10) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 100))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))
(exp.f64 (log.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))
Outputs
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(fma.f64 1/2 (*.f64 n i) n)
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (fma.f64 1/2 (*.f64 n i) n))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (fma.f64 1/2 (*.f64 n i) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(+.f64 (fma.f64 1/6 (*.f64 n (*.f64 i i)) (fma.f64 1/2 (*.f64 n i) n)) (*.f64 n (*.f64 (pow.f64 i 3) 1/24)))
(+.f64 (fma.f64 1/2 (*.f64 n i) n) (*.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 n 1/24) i) (*.f64 n 1/6))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 n)
(*.f64 n 100)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 n i) (*.f64 n 100))
(fma.f64 (*.f64 n i) 50 (*.f64 n 100))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 n 100)))
(fma.f64 (*.f64 n i) 50 (fma.f64 (*.f64 n 50/3) (*.f64 i i) (*.f64 n 100)))
(fma.f64 (*.f64 n i) 50 (*.f64 n (+.f64 (*.f64 (*.f64 i i) 50/3) 100)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 n 100))))
(fma.f64 (*.f64 n i) 50 (fma.f64 (*.f64 n (pow.f64 i 3)) 25/6 (fma.f64 (*.f64 n 50/3) (*.f64 i i) (*.f64 n 100))))
(fma.f64 (*.f64 n i) 50 (fma.f64 (*.f64 n (pow.f64 i 3)) 25/6 (*.f64 n (+.f64 (*.f64 (*.f64 i i) 50/3) 100))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(+.f64 (*.f64 (/.f64 n i) (exp.f64 i)) (*.f64 (/.f64 n i) -1))
(*.f64 n (/.f64 (expm1.f64 i) i))
(+.f64 (*.f64 (exp.f64 i) (/.f64 n i)) (*.f64 -1 (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 i) i))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) 1)
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (*.f64 n (expm1.f64 i)) (/.f64 1 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 1)
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 1 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (pow.f64 (cbrt.f64 i) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 i) i))) (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2)) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (/.f64 (pow.f64 (cbrt.f64 i) 2) (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 i) i)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2) (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (/.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 1 i) (*.f64 n (expm1.f64 i)))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (*.f64 n (neg.f64 (expm1.f64 i))) (/.f64 -1 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) i) (sqrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) i) (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) 1))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) i) (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) i) (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) 1))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 n (/.f64 (sqrt.f64 i) (expm1.f64 i))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 i)) n) (/.f64 (sqrt.f64 i) (expm1.f64 i)))
(*.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (/.f64 (cbrt.f64 i) (expm1.f64 i))))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 n (/.f64 (sqrt.f64 i) (expm1.f64 i))) (/.f64 1 (sqrt.f64 i)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 i)) n) (/.f64 (sqrt.f64 i) (expm1.f64 i)))
(*.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))
(*.f64 (/.f64 n (/.f64 (cbrt.f64 i) (expm1.f64 i))) (/.f64 1 (pow.f64 (cbrt.f64 i) 2)))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 n 1))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 i)) n) (/.f64 (sqrt.f64 i) (expm1.f64 i)))
(*.f64 (/.f64 (expm1.f64 i) (cbrt.f64 i)) (/.f64 n (pow.f64 (cbrt.f64 i) 2)))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 n i) (/.f64 (expm1.f64 i) 1))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 -1 i) (*.f64 n (neg.f64 (expm1.f64 i))))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 n 1) (/.f64 (expm1.f64 i) i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 n (sqrt.f64 i)) (/.f64 (expm1.f64 i) (sqrt.f64 i)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 i)) n) (/.f64 (sqrt.f64 i) (expm1.f64 i)))
(*.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))
(*.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 i)))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (expm1.f64 i) 1) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (expm1.f64 i) (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (cbrt.f64 i)))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (/.f64 100 (pow.f64 (cbrt.f64 i) 2))) (/.f64 (cbrt.f64 i) (cbrt.f64 (*.f64 n (expm1.f64 i)))))
(/.f64 (/.f64 (*.f64 n 100) i) (/.f64 1 (expm1.f64 i)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (*.f64 n 100) 1) (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (*.f64 n 100) (sqrt.f64 (/.f64 i (expm1.f64 i)))) (sqrt.f64 (/.f64 i (expm1.f64 i))))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (*.f64 n 100) (*.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) (cbrt.f64 (/.f64 i (expm1.f64 i))))) (cbrt.f64 (/.f64 i (expm1.f64 i))))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (*.f64 n 100) (/.f64 (sqrt.f64 i) 1)) (/.f64 (sqrt.f64 i) (expm1.f64 i)))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 i)) (*.f64 100 (expm1.f64 i))) (sqrt.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n (*.f64 (sqrt.f64 i) (/.f64 (sqrt.f64 i) 100))))
(/.f64 (/.f64 (*.f64 n 100) (/.f64 (pow.f64 (cbrt.f64 i) 2) 1)) (/.f64 (cbrt.f64 i) (expm1.f64 i)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (*.f64 n 100) (/.f64 1 (sqrt.f64 (expm1.f64 i)))) (/.f64 i (sqrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 (*.f64 (*.f64 n 100) (sqrt.f64 (expm1.f64 i))) i) (sqrt.f64 (expm1.f64 i)))
(/.f64 (*.f64 n 100) (/.f64 (/.f64 i (sqrt.f64 (expm1.f64 i))) (sqrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 n 100) (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) (/.f64 i (cbrt.f64 (expm1.f64 i))))
(/.f64 (*.f64 (*.f64 n 100) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)) (/.f64 i (cbrt.f64 (expm1.f64 i))))
(*.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 (*.f64 100 (*.f64 n (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) i))
(/.f64 (/.f64 (*.f64 n 100) (/.f64 (sqrt.f64 i) (sqrt.f64 (expm1.f64 i)))) (/.f64 (sqrt.f64 i) (sqrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 (*.f64 (/.f64 n (/.f64 (sqrt.f64 i) 100)) (sqrt.f64 (expm1.f64 i))) (sqrt.f64 i)) (sqrt.f64 (expm1.f64 i)))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 n (/.f64 (sqrt.f64 i) 100))) (/.f64 (sqrt.f64 i) (sqrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 n 100) (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) (/.f64 (sqrt.f64 i) (cbrt.f64 (expm1.f64 i))))
(/.f64 (*.f64 (/.f64 n (/.f64 (sqrt.f64 i) 100)) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)) (/.f64 (sqrt.f64 i) (cbrt.f64 (expm1.f64 i))))
(*.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 (*.f64 n 100) (*.f64 (sqrt.f64 i) (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)))))
(/.f64 (/.f64 (*.f64 n 100) (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (expm1.f64 i)))) (/.f64 (cbrt.f64 i) (sqrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 (*.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (sqrt.f64 (expm1.f64 i))) (cbrt.f64 i)) (sqrt.f64 (expm1.f64 i)))
(*.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) (*.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) 100)) (cbrt.f64 i)))
(/.f64 (/.f64 (*.f64 n 100) (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) (/.f64 (cbrt.f64 i) (cbrt.f64 (expm1.f64 i))))
(/.f64 (*.f64 n 100) (*.f64 (/.f64 (cbrt.f64 i) (cbrt.f64 (expm1.f64 i))) (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))))
(/.f64 (*.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) 100) (/.f64 (/.f64 (cbrt.f64 i) (cbrt.f64 (expm1.f64 i))) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)))
(/.f64 (/.f64 (*.f64 100 (*.f64 n (neg.f64 (expm1.f64 i)))) 1) (neg.f64 i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (*.f64 100 (*.f64 n (neg.f64 (expm1.f64 i)))) (sqrt.f64 i)) (neg.f64 (sqrt.f64 i)))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 i)) (*.f64 100 (expm1.f64 i))) (sqrt.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n (*.f64 (sqrt.f64 i) (/.f64 (sqrt.f64 i) 100))))
(/.f64 (/.f64 (*.f64 100 (*.f64 n (neg.f64 (expm1.f64 i)))) (pow.f64 (cbrt.f64 i) 2)) (neg.f64 (cbrt.f64 i)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (*.f64 100 (*.f64 n (neg.f64 (expm1.f64 i)))) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (*.f64 100 (*.f64 n (neg.f64 (expm1.f64 i)))) (*.f64 (cbrt.f64 (neg.f64 i)) (cbrt.f64 (neg.f64 i)))) (cbrt.f64 (neg.f64 i)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (*.f64 100 (*.f64 n (neg.f64 (expm1.f64 i)))) -1) i)
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (*.f64 100 (*.f64 n (neg.f64 (expm1.f64 i)))) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 i)) (*.f64 100 (expm1.f64 i))) (sqrt.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n (*.f64 (sqrt.f64 i) (/.f64 (sqrt.f64 i) 100))))
(/.f64 (/.f64 (*.f64 100 (*.f64 n (neg.f64 (expm1.f64 i)))) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) 1/100) 1) i)
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) 1/100) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (*.f64 (expm1.f64 i) 100))) 1) (sqrt.f64 i))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 i)) (*.f64 100 (expm1.f64 i))) (sqrt.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n (*.f64 (sqrt.f64 i) (/.f64 (sqrt.f64 i) 100))))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (*.f64 (expm1.f64 i) 100))) (cbrt.f64 i)) (cbrt.f64 (sqrt.f64 i)))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 i)) (*.f64 100 (expm1.f64 i))) (*.f64 (cbrt.f64 (sqrt.f64 i)) (cbrt.f64 i)))
(*.f64 (/.f64 (/.f64 n (sqrt.f64 i)) (cbrt.f64 (sqrt.f64 i))) (/.f64 (*.f64 100 (expm1.f64 i)) (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (*.f64 (expm1.f64 i) 100))) (sqrt.f64 (pow.f64 (cbrt.f64 i) 2))) (sqrt.f64 (cbrt.f64 i)))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 i)) (*.f64 100 (expm1.f64 i))) (*.f64 (sqrt.f64 (cbrt.f64 i)) (sqrt.f64 (pow.f64 (cbrt.f64 i) 2))))
(*.f64 (/.f64 (/.f64 n (sqrt.f64 i)) (sqrt.f64 (cbrt.f64 i))) (/.f64 (*.f64 100 (expm1.f64 i)) (fabs.f64 (cbrt.f64 i))))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (*.f64 (expm1.f64 i) 100))) (sqrt.f64 (sqrt.f64 i))) (sqrt.f64 (sqrt.f64 i)))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 i)) (*.f64 100 (expm1.f64 i))) (sqrt.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n (*.f64 (sqrt.f64 i) (/.f64 (sqrt.f64 i) 100))))
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) 1) (cbrt.f64 i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (sqrt.f64 (cbrt.f64 i))) (sqrt.f64 (cbrt.f64 i)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (cbrt.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (*.f64 n (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (*.f64 (cbrt.f64 (cbrt.f64 i)) (cbrt.f64 (pow.f64 (cbrt.f64 i) 2))))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) (/.f64 n (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 (cbrt.f64 i))) (/.f64 100 (cbrt.f64 (pow.f64 (cbrt.f64 i) 2))))
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (*.f64 (cbrt.f64 (cbrt.f64 i)) (cbrt.f64 (cbrt.f64 i)))) (cbrt.f64 (cbrt.f64 i)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (/.f64 (*.f64 n (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (cbrt.f64 (sqrt.f64 i))) (cbrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (*.f64 n (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (*.f64 (cbrt.f64 (sqrt.f64 i)) (cbrt.f64 (sqrt.f64 i))))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) (/.f64 n (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 (sqrt.f64 i))) (/.f64 100 (cbrt.f64 (sqrt.f64 i))))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) 1) (neg.f64 i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) (sqrt.f64 i)) (neg.f64 (sqrt.f64 i)))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 i)) (*.f64 100 (expm1.f64 i))) (sqrt.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n (*.f64 (sqrt.f64 i) (/.f64 (sqrt.f64 i) 100))))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) (pow.f64 (cbrt.f64 i) 2)) (neg.f64 (cbrt.f64 i)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) (*.f64 (cbrt.f64 (neg.f64 i)) (cbrt.f64 (neg.f64 i)))) (cbrt.f64 (neg.f64 i)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) -1) i)
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 i)) (*.f64 100 (expm1.f64 i))) (sqrt.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n (*.f64 (sqrt.f64 i) (/.f64 (sqrt.f64 i) 100))))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) 100))) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100) 1)
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 10) 2)
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)) 3)
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(pow.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100) 3) 1/3)
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i))) 2))
(fabs.f64 (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 100))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100))))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100) 3))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(exp.f64 (log.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))

localize73.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.7b
(*.f64 n (/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) i))
2.4b
(/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) i)
8.5b
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
12.6b
(+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))
Compiler

Compiled 207 to 139 computations (32.9% saved)

series18.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
i
@-inf
(/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) i)
1.0ms
i
@0
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
1.0ms
i
@-inf
(*.f64 n (/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) i))
1.0ms
i
@inf
(+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))
1.0ms
i
@0
(+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))

rewrite78.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
614×add-sqr-sqrt
586×*-un-lft-identity
584×pow1
580×add-exp-log
580×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025310
1607310
Stop Event
node limit
Counts
4 → 96
Calls
Call 1
Inputs
(+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) i)
(*.f64 n (/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) i))
Outputs
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simplify168.0ms (0.8%)

Algorithm
egg-herbie
Rules
1524×associate-+r+
1420×associate-+l+
962×+-commutative
644×associate-*r*
600×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039017304
1119215982
2545715966
Stop Event
node limit
Counts
192 → 270
Calls
Call 1
Inputs
i
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 i 3)) (*.f64 1/2 (pow.f64 i 2))) n)) (*.f64 1/2 (pow.f64 i 2)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 i 3)) (*.f64 1/2 (pow.f64 i 2))) n)) (*.f64 1/2 (pow.f64 i 2))))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 i 3)) (*.f64 1/2 (pow.f64 i 2))) n)) (*.f64 1/2 (pow.f64 i 2))))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))))
(*.f64 1/6 (pow.f64 i 3))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (*.f64 1/6 (pow.f64 i 3)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (*.f64 1/6 (pow.f64 i 3))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (*.f64 1/6 (pow.f64 i 3))))
(*.f64 1/6 (pow.f64 i 3))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (*.f64 1/6 (pow.f64 i 3)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (*.f64 1/6 (pow.f64 i 3))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (*.f64 1/6 (pow.f64 i 3))))
100
(+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 100 (+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 100 (+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 100 (+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 100 (+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 100 (+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 100 (+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(+.f64 (*.f64 100 (/.f64 (+.f64 (*.f64 -1/2 i) (*.f64 -1/2 (pow.f64 i 2))) n)) (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))))
(+.f64 (*.f64 100 (/.f64 (+.f64 (*.f64 -1/2 i) (*.f64 -1/2 (pow.f64 i 2))) n)) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 100 (+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i))))))
(+.f64 (*.f64 100 (/.f64 (+.f64 (*.f64 -1/2 i) (*.f64 -1/2 (pow.f64 i 2))) n)) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 100 (+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i))))))
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(/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) -100)) (neg.f64 i))
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(pow.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i) 1)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)))
(cbrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i) (pow.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i) 2)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)))
(exp.f64 (log.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)))
Outputs
i
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) i)
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))))
(fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))))
(fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))))
(fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))))
(fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))))
(fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))))
(fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))))
(fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))))
(fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))
(*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))
(*.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)))
(*.f64 (pow.f64 i 3) (/.f64 1/3 (*.f64 n n)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 -1/2 (/.f64 (pow.f64 i 3) n) (*.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)))))
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (*.f64 (pow.f64 i 3) (/.f64 -1/2 n))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))))
(fma.f64 -1/2 (/.f64 (pow.f64 i 3) n) (fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 1/6 (pow.f64 i 3) (+.f64 i (*.f64 (*.f64 i i) 1/2))))))
(+.f64 (fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (/.f64 -1/2 n)) (fma.f64 (*.f64 i i) 1/2 i))) (*.f64 (pow.f64 i 3) (/.f64 1/3 (*.f64 n n))))
(+.f64 (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 (/.f64 (*.f64 i i) (/.f64 n -1/2)) (fma.f64 (*.f64 i i) 1/2 i)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))))
(fma.f64 -1/2 (/.f64 (pow.f64 i 3) n) (fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 1/6 (pow.f64 i 3) (+.f64 i (*.f64 (*.f64 i i) 1/2))))))
(+.f64 (fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (/.f64 -1/2 n)) (fma.f64 (*.f64 i i) 1/2 i))) (*.f64 (pow.f64 i 3) (/.f64 1/3 (*.f64 n n))))
(+.f64 (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 (/.f64 (*.f64 i i) (/.f64 n -1/2)) (fma.f64 (*.f64 i i) 1/2 i)))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(fma.f64 1/6 (pow.f64 i 3) (+.f64 i (*.f64 (*.f64 i i) 1/2)))
(fma.f64 (pow.f64 i 3) 1/6 (fma.f64 (*.f64 i i) 1/2 i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (+.f64 (*.f64 (pow.f64 i 3) (+.f64 1/6 (/.f64 -1/2 n))) (+.f64 i (*.f64 (*.f64 i i) 1/2))))
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (/.f64 -1/2 n)) (fma.f64 (*.f64 i i) 1/2 i)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))))
(fma.f64 -1/2 (/.f64 (pow.f64 i 3) n) (fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 1/6 (pow.f64 i 3) (+.f64 i (*.f64 (*.f64 i i) 1/2))))))
(+.f64 (fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (/.f64 -1/2 n)) (fma.f64 (*.f64 i i) 1/2 i))) (*.f64 (pow.f64 i 3) (/.f64 1/3 (*.f64 n n))))
(+.f64 (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 (/.f64 (*.f64 i i) (/.f64 n -1/2)) (fma.f64 (*.f64 i i) 1/2 i)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))))
(fma.f64 -1/2 (/.f64 (pow.f64 i 3) n) (fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 1/6 (pow.f64 i 3) (+.f64 i (*.f64 (*.f64 i i) 1/2))))))
(+.f64 (fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (/.f64 -1/2 n)) (fma.f64 (*.f64 i i) 1/2 i))) (*.f64 (pow.f64 i 3) (/.f64 1/3 (*.f64 n n))))
(+.f64 (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 (/.f64 (*.f64 i i) (/.f64 n -1/2)) (fma.f64 (*.f64 i i) 1/2 i)))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(fma.f64 1/6 (pow.f64 i 3) (+.f64 i (*.f64 (*.f64 i i) 1/2)))
(fma.f64 (pow.f64 i 3) 1/6 (fma.f64 (*.f64 i i) 1/2 i))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 i 3)) (*.f64 1/2 (pow.f64 i 2))) n)) (*.f64 1/2 (pow.f64 i 2)))))
(fma.f64 1/6 (pow.f64 i 3) (+.f64 i (fma.f64 -1 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 i 3) (*.f64 i i))) n) (*.f64 (*.f64 i i) 1/2))))
(+.f64 (fma.f64 (pow.f64 i 3) 1/6 (fma.f64 (*.f64 i i) 1/2 i)) (/.f64 (*.f64 -1/2 (+.f64 (*.f64 i i) (pow.f64 i 3))) n))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 i 3)) (*.f64 1/2 (pow.f64 i 2))) n)) (*.f64 1/2 (pow.f64 i 2))))))
(fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 1/6 (pow.f64 i 3) (+.f64 i (fma.f64 -1 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 i 3) (*.f64 i i))) n) (*.f64 (*.f64 i i) 1/2)))))
(+.f64 (+.f64 (fma.f64 (*.f64 i i) 1/2 i) (/.f64 (*.f64 -1/2 (+.f64 (*.f64 i i) (pow.f64 i 3))) n)) (*.f64 (pow.f64 i 3) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))
(+.f64 (fma.f64 (*.f64 i i) 1/2 i) (+.f64 (/.f64 (*.f64 -1/2 (+.f64 (*.f64 i i) (pow.f64 i 3))) n) (*.f64 (pow.f64 i 3) (+.f64 1/6 (/.f64 1/3 (*.f64 n n))))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 i 3)) (*.f64 1/2 (pow.f64 i 2))) n)) (*.f64 1/2 (pow.f64 i 2))))))
(fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 1/6 (pow.f64 i 3) (+.f64 i (fma.f64 -1 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 i 3) (*.f64 i i))) n) (*.f64 (*.f64 i i) 1/2)))))
(+.f64 (+.f64 (fma.f64 (*.f64 i i) 1/2 i) (/.f64 (*.f64 -1/2 (+.f64 (*.f64 i i) (pow.f64 i 3))) n)) (*.f64 (pow.f64 i 3) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))
(+.f64 (fma.f64 (*.f64 i i) 1/2 i) (+.f64 (/.f64 (*.f64 -1/2 (+.f64 (*.f64 i i) (pow.f64 i 3))) n) (*.f64 (pow.f64 i 3) (+.f64 1/6 (/.f64 1/3 (*.f64 n n))))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
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(*.f64 (/.f64 1 i) (*.f64 (*.f64 n 100) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))
(*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)) (/.f64 n (/.f64 i 100)))
(/.f64 (*.f64 n 100) (/.f64 i (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))))
(*.f64 (/.f64 1 i) (*.f64 (*.f64 n 100) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))
(*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)) (/.f64 n (/.f64 i 100)))
(/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) -100)) (neg.f64 i))
(/.f64 n (/.f64 (*.f64 1/100 i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))
(*.f64 (/.f64 n (*.f64 i 1/100)) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)))
(/.f64 (*.f64 100 n) (/.f64 i (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))))
(*.f64 (/.f64 1 i) (*.f64 (*.f64 n 100) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))
(*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)) (/.f64 n (/.f64 i 100)))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) -100) n) (neg.f64 i))
(/.f64 n (/.f64 (*.f64 1/100 i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))
(*.f64 (/.f64 n (*.f64 i 1/100)) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)))
(/.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) 1) i)
(*.f64 (/.f64 1 i) (*.f64 (*.f64 n 100) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))
(*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)) (/.f64 n (/.f64 i 100)))
(/.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) (sqrt.f64 i)) (sqrt.f64 i))
(*.f64 (/.f64 1 i) (*.f64 (*.f64 n 100) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))
(*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)) (/.f64 n (/.f64 i 100)))
(/.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) (cbrt.f64 (*.f64 i i))) (cbrt.f64 i))
(/.f64 (*.f64 (*.f64 n 100) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))) (*.f64 (cbrt.f64 i) (cbrt.f64 (*.f64 i i))))
(*.f64 (/.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)) (cbrt.f64 i)) (/.f64 (*.f64 n 100) (cbrt.f64 (*.f64 i i))))
(/.f64 (neg.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))) (neg.f64 i))
(/.f64 n (/.f64 (*.f64 1/100 i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))
(*.f64 (/.f64 n (*.f64 i 1/100)) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)))
(pow.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i) 1)
(*.f64 (/.f64 1 i) (*.f64 (*.f64 n 100) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))
(*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)) (/.f64 n (/.f64 i 100)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 n 100) i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))) 2))
(fabs.f64 (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)) (/.f64 n (/.f64 i 100))))
(log.f64 (exp.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)))
(*.f64 (/.f64 1 i) (*.f64 (*.f64 n 100) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))
(*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)) (/.f64 n (/.f64 i 100)))
(cbrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i) (pow.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i) 2)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 n 100) i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))) (pow.f64 (*.f64 (/.f64 (*.f64 n 100) i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))) 2)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)) (/.f64 n (/.f64 i 100))) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)))
(*.f64 (/.f64 1 i) (*.f64 (*.f64 n 100) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))
(*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)) (/.f64 n (/.f64 i 100)))
(exp.f64 (log.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)))
(*.f64 (/.f64 1 i) (*.f64 (*.f64 n 100) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))
(*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)) (/.f64 n (/.f64 i 100)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)))
(*.f64 (/.f64 1 i) (*.f64 (*.f64 n 100) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))
(*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)) (/.f64 n (/.f64 i 100)))

eval740.0ms (3.5%)

Compiler

Compiled 35405 to 19439 computations (45.1% saved)

prune358.0ms (1.7%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New1069101079
Fresh5914
Picked101
Done156
Total1076241100
Error
0b
Counts
1100 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
17.8b
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
33.7b
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)
45.6b
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
34.9b
(/.f64 (*.f64 100 i) (/.f64 i n))
28.6b
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
27.9b
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (/.f64 i n)))))
17.4b
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
54.2b
(/.f64 100 (/.f64 i (*.f64 (*.f64 n n) (neg.f64 (log.f64 (/.f64 n i))))))
19.4b
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
27.7b
(/.f64 100 (/.f64 1 n))
17.5b
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
60.9b
(/.f64 100/3 (/.f64 n (*.f64 i i)))
19.5b
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
18.3b
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
24.3b
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
28.2b
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
27.7b
(*.f64 n (/.f64 (*.f64 100 i) i))
28.1b
(*.f64 n (+.f64 (*.f64 50 i) 100))
27.6b
(*.f64 n 100)
34.8b
(*.f64 100 (/.f64 i (/.f64 i n)))
31.4b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))))
17.7b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
45.5b
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
51.0b
0
Compiler

Compiled 589 to 410 computations (30.4% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
0.3b
(/.f64 1/2 (*.f64 n n))
0.4b
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
4.7b
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
Compiler

Compiled 73 to 43 computations (41.1% saved)

series8.0ms (0%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
i
@-inf
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
1.0ms
i
@inf
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
1.0ms
i
@0
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
1.0ms
n
@0
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
1.0ms
n
@-inf
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))

rewrite116.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1320×associate-/l*
1014×associate-/r/
646×associate-/l/
348×add-sqr-sqrt
330×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015118
134496
2484696
Stop Event
node limit
Counts
4 → 229
Calls
Call 1
Inputs
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(/.f64 1/2 (*.f64 n n))
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
Outputs
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simplify133.0ms (0.6%)

Algorithm
egg-herbie
Rules
1380×associate-*r*
972×associate-/r*
948×associate-*l*
908×*-commutative
786×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072316199
1225615363
Stop Event
node limit
Counts
301 → 477
Calls
Call 1
Inputs
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(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))
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(*.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2))) (+.f64 (neg.f64 n) (*.f64 (*.f64 (*.f64 n n) 2) -1/2))) (*.f64 (*.f64 (*.f64 n n) 2) (neg.f64 n)))
(*.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2))) (+.f64 (*.f64 (neg.f64 (*.f64 n n)) 1/2) (*.f64 -1/2 n))) (*.f64 (neg.f64 (*.f64 n n)) n))
(*.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2))) (+.f64 (*.f64 -1/2 (*.f64 n 2)) (*.f64 (neg.f64 (*.f64 n n)) 1))) (*.f64 (neg.f64 (*.f64 n n)) (*.f64 n 2)))
(*.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2))) (+.f64 (*.f64 -1/2 (neg.f64 n)) (*.f64 (neg.f64 (*.f64 n n)) -1/2))) (*.f64 (neg.f64 (*.f64 n n)) (neg.f64 n)))
(*.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 n -3))) (-.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 3))) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 3)))))) (-.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2))) (/.f64 1/4 (pow.f64 n 3))))
(*.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 n -3))) (+.f64 (pow.f64 (/.f64 1/4 (pow.f64 n 4)) 3) (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 3))) 3))) (+.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (-.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 3))) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 3)))) (*.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 3)))))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))) (*.f64 n n)) 1) (/.f64 1 n))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))) (*.f64 n n)) (sqrt.f64 n)) (pow.f64 n -1/2))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))) (*.f64 n n)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 1 n)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))) (*.f64 n n)) (neg.f64 n)) -1)
(*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) 1) (/.f64 1 n))
(*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) (sqrt.f64 n)) (pow.f64 n -1/2))
(*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 1 n)))
(*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) (neg.f64 n)) -1)
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2))) (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)))
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)) (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 n -3))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 4)))))
(/.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 4)))) (/.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 4)))) (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))
(/.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))) (pow.f64 n 3))
(/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2)))) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)) (sqrt.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 n -3)))) (/.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 4)))) (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 n -3))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n)))) (/.f64 (pow.f64 n 3) (sqrt.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2)))) (cbrt.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2))))) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)) (cbrt.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 n -3)))) (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 n -3))))) (/.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 4)))) (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 n -3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n)))) (cbrt.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))))) (/.f64 (pow.f64 n 3) (cbrt.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))) (*.f64 n n)) n)
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 (/.f64 -1/2 n) (/.f64 -1/2 n))) (-.f64 (*.f64 1/2 (pow.f64 n -2)) (/.f64 -1/2 n)))
(/.f64 (-.f64 (*.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3))) (*.f64 (*.f64 1/8 (pow.f64 n -3)) (*.f64 1/8 (pow.f64 n -3)))) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 4)))) (+.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 n -3)))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 n) (*.f64 1/2 n)) (*.f64 (*.f64 1/2 (*.f64 n n)) (*.f64 1/2 (*.f64 n n)))) (*.f64 (pow.f64 n 3) (+.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n)))))
(/.f64 (-.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (*.f64 (*.f64 1/4 (pow.f64 n -2)) (*.f64 1/4 (pow.f64 n -2)))) (*.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 4)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (pow.f64 (/.f64 -1/2 n) 3)) (-.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 (/.f64 -1/2 n) (/.f64 -1/2 n))) (*.f64 (*.f64 1/2 (pow.f64 n -2)) (/.f64 -1/2 n))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) 3) (pow.f64 (*.f64 1/8 (pow.f64 n -3)) 3)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 4)))) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3))) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 n -3)) (*.f64 1/8 (pow.f64 n -3))) (*.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 n -3)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 n) 3) (pow.f64 (*.f64 1/2 (*.f64 n n)) 3)) (*.f64 (pow.f64 n 3) (+.f64 (*.f64 (*.f64 1/2 n) (*.f64 1/2 n)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 n n)) (*.f64 1/2 (*.f64 n n))) (*.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1/4 (pow.f64 n 4)) 3) (pow.f64 (*.f64 1/4 (pow.f64 n -2)) 3)) (*.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)) (+.f64 (+.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (*.f64 (*.f64 1/4 (pow.f64 n -2)) (*.f64 1/4 (pow.f64 n -2)))) (*.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2))))))
(/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)
(/.f64 (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n 2)))
(/.f64 (-.f64 (*.f64 1/2 (neg.f64 n)) (*.f64 (*.f64 n n) -1/2)) (*.f64 (*.f64 n n) (neg.f64 n)))
(/.f64 (-.f64 (*.f64 (/.f64 1/2 n) n) (*.f64 1/2 n)) (*.f64 n n))
(/.f64 (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n 2)) n) (*.f64 (*.f64 n n) 2))
(/.f64 (-.f64 (*.f64 (/.f64 1/2 n) (neg.f64 n)) (*.f64 n -1/2)) (neg.f64 (*.f64 n n)))
(/.f64 (-.f64 n (*.f64 (*.f64 (*.f64 n n) 2) 1/2)) (*.f64 (*.f64 (*.f64 n n) 2) n))
(/.f64 (-.f64 (*.f64 n 2) (*.f64 (*.f64 (*.f64 n n) 2) 1)) (*.f64 (*.f64 (*.f64 n n) 2) (*.f64 n 2)))
(/.f64 (-.f64 (neg.f64 n) (*.f64 (*.f64 (*.f64 n n) 2) -1/2)) (*.f64 (*.f64 (*.f64 n n) 2) (neg.f64 n)))
(/.f64 (-.f64 (*.f64 -1/2 n) (*.f64 (neg.f64 (*.f64 n n)) 1/2)) (*.f64 (neg.f64 (*.f64 n n)) n))
(/.f64 (-.f64 (*.f64 -1/2 (*.f64 n 2)) (*.f64 (neg.f64 (*.f64 n n)) 1)) (*.f64 (neg.f64 (*.f64 n n)) (*.f64 n 2)))
(/.f64 (-.f64 (*.f64 -1/2 (neg.f64 n)) (*.f64 (neg.f64 (*.f64 n n)) -1/2)) (*.f64 (neg.f64 (*.f64 n n)) (neg.f64 n)))
(/.f64 (neg.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2)))) (neg.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 n -3)))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 4))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n)))) (neg.f64 (pow.f64 n 3)))
(pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))
(fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))
(fma.f64 1 (*.f64 1/2 (pow.f64 n -2)) (/.f64 -1/2 n))
(fma.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n) (/.f64 -1/2 n))
(fma.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (/.f64 -1/2 n))
Outputs
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
(*.f64 1/2 (/.f64 i (pow.f64 n 2)))
(*.f64 1/2 (/.f64 i (*.f64 n n)))
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 i (/.f64 -1/2 n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 i (/.f64 -1/2 n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 i (/.f64 -1/2 n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))
(*.f64 -1/2 (/.f64 i n))
(*.f64 i (/.f64 -1/2 n))
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 i (/.f64 -1/2 n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 i (/.f64 -1/2 n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 i (/.f64 -1/2 n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))
(*.f64 -1/2 (/.f64 i n))
(*.f64 i (/.f64 -1/2 n))
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 i (/.f64 -1/2 n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 i (/.f64 -1/2 n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 i (/.f64 -1/2 n)))
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(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (pow.f64 (/.f64 -1/2 n) 3)) (-.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 (/.f64 -1/2 n) (/.f64 -1/2 n))) (*.f64 (*.f64 1/2 (pow.f64 n -2)) (/.f64 -1/2 n))))
(/.f64 (fma.f64 1/8 (pow.f64 (pow.f64 n -2) 3) (/.f64 -1/8 (pow.f64 n 3))) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (*.f64 (/.f64 -1/2 n) (/.f64 -1/2 n)) (*.f64 1/2 (*.f64 (pow.f64 n -2) (/.f64 -1/2 n))))))
(/.f64 (fma.f64 1/8 (pow.f64 (pow.f64 n -2) 3) (/.f64 -1/8 (pow.f64 n 3))) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (/.f64 (/.f64 1/4 n) n) (/.f64 (*.f64 (pow.f64 n -2) -1/4) n))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) 3) (pow.f64 (*.f64 1/8 (pow.f64 n -3)) 3)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 4)))) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3))) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 n -3)) (*.f64 1/8 (pow.f64 n -3))) (*.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 n -3)))))))
(/.f64 (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 (pow.f64 n -2) 3) 3)) (*.f64 1/512 (pow.f64 (pow.f64 n -3) 3))) (*.f64 (+.f64 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 (pow.f64 n 3))) (/.f64 1/4 (pow.f64 n 4))) (+.f64 (*.f64 1/64 (*.f64 (pow.f64 (pow.f64 n -2) 3) (pow.f64 (pow.f64 n -2) 3))) (*.f64 (*.f64 1/8 (pow.f64 n -3)) (*.f64 1/8 (+.f64 (pow.f64 (pow.f64 n -2) 3) (pow.f64 n -3)))))))
(/.f64 (/.f64 (*.f64 1/512 (-.f64 (pow.f64 (pow.f64 (pow.f64 n -2) 3) 3) (pow.f64 (pow.f64 n -3) 3))) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 (pow.f64 n 3))))) (+.f64 (*.f64 (pow.f64 (pow.f64 n -2) 3) (*.f64 (pow.f64 (pow.f64 n -2) 3) 1/64)) (*.f64 (*.f64 (pow.f64 n -3) 1/64) (+.f64 (pow.f64 (pow.f64 n -2) 3) (pow.f64 n -3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 n) 3) (pow.f64 (*.f64 1/2 (*.f64 n n)) 3)) (*.f64 (pow.f64 n 3) (+.f64 (*.f64 (*.f64 1/2 n) (*.f64 1/2 n)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 n n)) (*.f64 1/2 (*.f64 n n))) (*.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 n 3)) (*.f64 1/8 (pow.f64 (*.f64 n n) 3))) (*.f64 (pow.f64 n 3) (+.f64 (*.f64 1/4 (*.f64 n n)) (*.f64 (*.f64 1/2 (*.f64 n n)) (*.f64 1/2 (+.f64 n (*.f64 n n)))))))
(/.f64 (*.f64 1/8 (-.f64 (pow.f64 n 3) (pow.f64 (*.f64 n n) 3))) (*.f64 (pow.f64 n 3) (+.f64 (*.f64 1/4 (*.f64 n n)) (*.f64 (*.f64 1/4 (*.f64 n n)) (+.f64 n (*.f64 n n))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1/4 (pow.f64 n 4)) 3) (pow.f64 (*.f64 1/4 (pow.f64 n -2)) 3)) (*.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)) (+.f64 (+.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (*.f64 (*.f64 1/4 (pow.f64 n -2)) (*.f64 1/4 (pow.f64 n -2)))) (*.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2))))))
(/.f64 (-.f64 (/.f64 1/64 (pow.f64 (pow.f64 n 4) 3)) (*.f64 1/64 (pow.f64 (pow.f64 n -2) 3))) (*.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)) (+.f64 (fma.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/16 (*.f64 (pow.f64 n -2) (pow.f64 n -2)))) (*.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 (pow.f64 n -2) 1/4)))))
(/.f64 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (pow.f64 n 4) 3)) (*.f64 -1/64 (pow.f64 (pow.f64 n -2) 3))) (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n))) (+.f64 (/.f64 (/.f64 1/16 (pow.f64 n 4)) (pow.f64 n 4)) (*.f64 (pow.f64 n -2) (+.f64 (*.f64 (pow.f64 n -2) 1/16) (/.f64 1/16 (pow.f64 n 4))))))
(/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)
(/.f64 (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n 2)))
(/.f64 (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n)) (*.f64 (pow.f64 n 3) 2))
(/.f64 (-.f64 (*.f64 1 n) (*.f64 n n)) (*.f64 2 (pow.f64 n 3)))
(/.f64 (-.f64 (*.f64 1/2 (neg.f64 n)) (*.f64 (*.f64 n n) -1/2)) (*.f64 (*.f64 n n) (neg.f64 n)))
(*.f64 -1 (/.f64 (*.f64 1/2 (-.f64 n (*.f64 n n))) (neg.f64 (pow.f64 n 3))))
(/.f64 (*.f64 n (+.f64 -1/2 (*.f64 1/2 n))) (neg.f64 (pow.f64 n 3)))
(/.f64 (-.f64 (*.f64 (/.f64 1/2 n) n) (*.f64 1/2 n)) (*.f64 n n))
(/.f64 (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)) (*.f64 n n))
(/.f64 n (/.f64 (*.f64 n n) (+.f64 -1/2 (/.f64 1/2 n))))
(/.f64 (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n 2)) n) (*.f64 (*.f64 n n) 2))
(/.f64 (fma.f64 (/.f64 1/2 n) (*.f64 n 2) (neg.f64 n)) (*.f64 n (*.f64 n 2)))
(/.f64 (-.f64 (/.f64 (*.f64 1 n) n) n) (*.f64 n (*.f64 n 2)))
(/.f64 (-.f64 (*.f64 (/.f64 1/2 n) (neg.f64 n)) (*.f64 n -1/2)) (neg.f64 (*.f64 n n)))
(/.f64 (-.f64 (*.f64 (/.f64 1/2 n) (neg.f64 n)) (*.f64 n -1/2)) (*.f64 n (neg.f64 n)))
(/.f64 (*.f64 (neg.f64 n) (+.f64 -1/2 (/.f64 1/2 n))) (*.f64 n (neg.f64 n)))
(/.f64 (-.f64 n (*.f64 (*.f64 (*.f64 n n) 2) 1/2)) (*.f64 (*.f64 (*.f64 n n) 2) n))
(/.f64 (+.f64 n (*.f64 n (neg.f64 n))) (*.f64 (pow.f64 n 3) 2))
(/.f64 (+.f64 n (*.f64 n (neg.f64 n))) (*.f64 2 (pow.f64 n 3)))
(/.f64 (-.f64 (*.f64 n 2) (*.f64 (*.f64 (*.f64 n n) 2) 1)) (*.f64 (*.f64 (*.f64 n n) 2) (*.f64 n 2)))
(/.f64 (-.f64 (*.f64 n 2) (*.f64 n (*.f64 n 2))) (*.f64 (*.f64 (pow.f64 n 3) 2) 2))
(/.f64 (*.f64 n (-.f64 2 (*.f64 n 2))) (*.f64 (pow.f64 n 3) 4))
(/.f64 (-.f64 (neg.f64 n) (*.f64 (*.f64 (*.f64 n n) 2) -1/2)) (*.f64 (*.f64 (*.f64 n n) 2) (neg.f64 n)))
(/.f64 (-.f64 (neg.f64 n) (*.f64 (*.f64 n n) -1)) (*.f64 (neg.f64 (pow.f64 n 3)) 2))
(/.f64 (-.f64 (neg.f64 n) (*.f64 n (neg.f64 n))) (*.f64 2 (neg.f64 (pow.f64 n 3))))
(/.f64 (-.f64 (*.f64 -1/2 n) (*.f64 (neg.f64 (*.f64 n n)) 1/2)) (*.f64 (neg.f64 (*.f64 n n)) n))
(*.f64 -1 (/.f64 (*.f64 1/2 (-.f64 n (*.f64 n n))) (neg.f64 (pow.f64 n 3))))
(/.f64 (*.f64 n (+.f64 -1/2 (*.f64 1/2 n))) (neg.f64 (pow.f64 n 3)))
(/.f64 (-.f64 (*.f64 -1/2 (*.f64 n 2)) (*.f64 (neg.f64 (*.f64 n n)) 1)) (*.f64 (neg.f64 (*.f64 n n)) (*.f64 n 2)))
(/.f64 (-.f64 (neg.f64 n) (*.f64 (*.f64 n n) -1)) (*.f64 (neg.f64 (pow.f64 n 3)) 2))
(/.f64 (-.f64 (neg.f64 n) (*.f64 n (neg.f64 n))) (*.f64 2 (neg.f64 (pow.f64 n 3))))
(/.f64 (-.f64 (*.f64 -1/2 (neg.f64 n)) (*.f64 (neg.f64 (*.f64 n n)) -1/2)) (*.f64 (neg.f64 (*.f64 n n)) (neg.f64 n)))
(/.f64 (*.f64 1/2 (-.f64 n (*.f64 n n))) (pow.f64 n 3))
(/.f64 1/2 (/.f64 (pow.f64 n 3) (-.f64 n (*.f64 n n))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 1/4 (pow.f64 n -2)))) (neg.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n))))
(/.f64 (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 -1/4 (pow.f64 n -2)))) (neg.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n))))
(/.f64 (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 (pow.f64 n -2) -1/4))) (+.f64 (*.f64 -1/2 (pow.f64 n -2)) (/.f64 -1/2 n)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (*.f64 1/8 (pow.f64 n -3)))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 (pow.f64 n 4))))))
(neg.f64 (/.f64 (*.f64 1/8 (-.f64 (pow.f64 (pow.f64 n -2) 3) (pow.f64 n -3))) (neg.f64 (+.f64 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 (pow.f64 n 3))) (/.f64 1/4 (pow.f64 n 4))))))
(/.f64 (*.f64 -1/8 (-.f64 (pow.f64 (pow.f64 n -2) 3) (pow.f64 n -3))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 (pow.f64 n 3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n)))) (neg.f64 (pow.f64 n 3)))
(*.f64 -1 (/.f64 (*.f64 1/2 (-.f64 n (*.f64 n n))) (neg.f64 (pow.f64 n 3))))
(/.f64 (*.f64 n (+.f64 -1/2 (*.f64 1/2 n))) (neg.f64 (pow.f64 n 3)))
(pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 1)
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) 2)
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) 3)
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 3) 1/3)
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 3))
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) 1))
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
(/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)
(fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))
(fma.f64 1 (*.f64 1/2 (pow.f64 n -2)) (/.f64 -1/2 n))
(fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))
(fma.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n) (/.f64 -1/2 n))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) n) 2) (/.f64 -1/2 n))
(+.f64 (/.f64 -1/2 n) (pow.f64 (/.f64 (sqrt.f64 1/2) n) 2))
(fma.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (/.f64 -1/2 n))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 100 (/.f64 1 n))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
n
@inf
(/.f64 100 (/.f64 1 n))
0.0ms
n
@-inf
(/.f64 100 (/.f64 1 n))
0.0ms
n
@0
(/.f64 100 (/.f64 1 n))

rewrite55.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1296×add-sqr-sqrt
1268×*-un-lft-identity
1198×add-cube-cbrt
1188×add-cbrt-cube
1174×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11497
217537
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 100 (/.f64 1 n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 100 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 10 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 100 n)) (pow.f64 (cbrt.f64 (*.f64 100 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 100 n)) 2) (cbrt.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -100 (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -100 (/.f64 1 (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 n -1) 1/100) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 100 n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 n)))))))

simplify45.0ms (0.2%)

Algorithm
egg-herbie
Rules
1346×associate-*r/
1296×associate-*r*
1250×associate-+r+
1176×associate-*l/
1146×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056245
1137245
2443245
33189245
Stop Event
node limit
Counts
35 → 23
Calls
Call 1
Inputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(-.f64 (+.f64 1 (*.f64 100 n)) 1)
(*.f64 100 n)
(*.f64 1 (*.f64 100 n))
(*.f64 (*.f64 100 n) 1)
(*.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 10 (sqrt.f64 n)))
(*.f64 (cbrt.f64 (*.f64 100 n)) (pow.f64 (cbrt.f64 (*.f64 100 n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 100 n)) 2) (cbrt.f64 (*.f64 100 n)))
(*.f64 n 100)
(*.f64 -100 (neg.f64 n))
(*.f64 -100 (/.f64 1 (/.f64 -1 n)))
(*.f64 (*.f64 100 (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(pow.f64 (*.f64 100 n) 1)
(pow.f64 (*.f64 10 (sqrt.f64 n)) 2)
(pow.f64 (cbrt.f64 (*.f64 100 n)) 3)
(pow.f64 (pow.f64 (*.f64 100 n) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 n -1) 1/100) -1)
(sqrt.f64 (pow.f64 (*.f64 100 n) 2))
(log.f64 (exp.f64 (*.f64 100 n)))
(cbrt.f64 (pow.f64 (*.f64 100 n) 3))
(expm1.f64 (log1p.f64 (*.f64 100 n)))
(exp.f64 (log.f64 (*.f64 100 n)))
(log1p.f64 (expm1.f64 (*.f64 100 n)))
Outputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(-.f64 (+.f64 1 (*.f64 100 n)) 1)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 1 (*.f64 100 n))
(*.f64 100 n)
(*.f64 (*.f64 100 n) 1)
(*.f64 100 n)
(*.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 10 (sqrt.f64 n)))
(*.f64 100 n)
(*.f64 (cbrt.f64 (*.f64 100 n)) (pow.f64 (cbrt.f64 (*.f64 100 n)) 2))
(*.f64 100 n)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 100 n)) 2) (cbrt.f64 (*.f64 100 n)))
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 -100 (neg.f64 n))
(*.f64 100 n)
(*.f64 -100 (/.f64 1 (/.f64 -1 n)))
(*.f64 100 n)
(*.f64 (*.f64 100 (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 100 n)
(*.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(*.f64 100 n)
(pow.f64 (*.f64 100 n) 1)
(*.f64 100 n)
(pow.f64 (*.f64 10 (sqrt.f64 n)) 2)
(*.f64 100 n)
(pow.f64 (cbrt.f64 (*.f64 100 n)) 3)
(*.f64 100 n)
(pow.f64 (pow.f64 (*.f64 100 n) 3) 1/3)
(*.f64 100 n)
(pow.f64 (*.f64 (pow.f64 n -1) 1/100) -1)
(*.f64 100 n)
(sqrt.f64 (pow.f64 (*.f64 100 n) 2))
(*.f64 100 n)
(log.f64 (exp.f64 (*.f64 100 n)))
(*.f64 100 n)
(cbrt.f64 (pow.f64 (*.f64 100 n) 3))
(*.f64 100 n)
(expm1.f64 (log1p.f64 (*.f64 100 n)))
(*.f64 100 n)
(exp.f64 (log.f64 (*.f64 100 n)))
(*.f64 100 n)
(log1p.f64 (expm1.f64 (*.f64 100 n)))
(*.f64 100 n)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.3b
(/.f64 100/3 (/.f64 n (*.f64 i i)))
6.8b
(/.f64 n (*.f64 i i))
Compiler

Compiled 20 to 7 computations (65% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
n
@-inf
(/.f64 100/3 (/.f64 n (*.f64 i i)))
1.0ms
n
@inf
(/.f64 n (*.f64 i i))
1.0ms
n
@0
(/.f64 n (*.f64 i i))
0.0ms
i
@0
(/.f64 100/3 (/.f64 n (*.f64 i i)))
0.0ms
n
@0
(/.f64 100/3 (/.f64 n (*.f64 i i)))

rewrite64.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1846×add-sqr-sqrt
1814×*-un-lft-identity
1708×add-cube-cbrt
1690×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
117632
2239532
Stop Event
node limit
Counts
2 → 62
Calls
Call 1
Inputs
(/.f64 n (*.f64 i i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 n (*.f64 i i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (*.f64 i i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 n (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) i) (/.f64 (sqrt.f64 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 n (*.f64 i i))) (pow.f64 (cbrt.f64 (/.f64 n (*.f64 i i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 n (*.f64 i i))) 2) (cbrt.f64 (/.f64 n (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 i -2) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 n) (/.f64 1 (*.f64 i (neg.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) (/.f64 n (pow.f64 (cbrt.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 i 4))) (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) i) (/.f64 (cbrt.f64 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (pow.f64 i 4))) (cbrt.f64 (/.f64 n (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (*.f64 i i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 n) i) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 n (*.f64 i i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (*.f64 i i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 i i) n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 n (*.f64 i (neg.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 n n) (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 n (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 n (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 n (*.f64 i i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 n (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 n (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 n (*.f64 i i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 n (*.f64 i i))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i i) (/.f64 100/3 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100/3 (/.f64 (*.f64 i i) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 i i) (/.f64 100/3 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 100/3 n)) i) (*.f64 (sqrt.f64 (/.f64 100/3 n)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))) (cbrt.f64 (/.f64 10000/9 (/.f64 (*.f64 n n) (pow.f64 i 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 10000/9 (/.f64 (*.f64 n n) (pow.f64 i 4)))) (cbrt.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100/3 n) (*.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i i) n) 100/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -100/3 (/.f64 1 (*.f64 n (neg.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100/3 n) i) i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100/3 n) 1) (*.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100/3 n) (cbrt.f64 (pow.f64 i 4))) (pow.f64 (cbrt.f64 i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100/3 (/.f64 n i)) i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100/3 (neg.f64 n)) (*.f64 i (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 100/3 n)) i) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 n (*.f64 i i)) 3/100) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 10000/9 (/.f64 (*.f64 n n) (pow.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100/3) (/.f64 (*.f64 i i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))))))))

simplify78.0ms (0.4%)

Algorithm
egg-herbie
Rules
1318×associate-*r/
1022×associate-*l/
956×associate-/r*
888×times-frac
848×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01501952
13681940
214451928
379771928
Stop Event
node limit
Counts
110 → 83
Calls
Call 1
Inputs
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (pow.f64 i 2))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (*.f64 i i)))) 1)
(*.f64 n (pow.f64 i -2))
(*.f64 (/.f64 n (*.f64 i i)) 1)
(*.f64 1 (/.f64 n (*.f64 i i)))
(*.f64 (/.f64 (sqrt.f64 n) i) (/.f64 (sqrt.f64 n) i))
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (pow.f64 i -2)))
(*.f64 (cbrt.f64 (/.f64 n (*.f64 i i))) (pow.f64 (cbrt.f64 (/.f64 n (*.f64 i i))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (*.f64 i i))) 2) (cbrt.f64 (/.f64 n (*.f64 i i))))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (pow.f64 i -2)))
(*.f64 (/.f64 n i) (/.f64 1 i))
(*.f64 (pow.f64 i -2) n)
(*.f64 (neg.f64 n) (/.f64 1 (*.f64 i (neg.f64 i))))
(*.f64 (/.f64 1 i) (/.f64 n i))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) (/.f64 n (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (*.f64 i i)))
(*.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 i 4))) (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) i) (/.f64 (cbrt.f64 n) i))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (*.f64 i i)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (pow.f64 i 4))) (cbrt.f64 (/.f64 n (*.f64 i i))))
(pow.f64 (/.f64 n (*.f64 i i)) 1)
(pow.f64 (/.f64 (sqrt.f64 n) i) 2)
(pow.f64 (cbrt.f64 (/.f64 n (*.f64 i i))) 3)
(pow.f64 (pow.f64 (/.f64 n (*.f64 i i)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 i i) n) -1)
(neg.f64 (/.f64 n (*.f64 i (neg.f64 i))))
(sqrt.f64 (/.f64 (*.f64 n n) (pow.f64 i 4)))
(log.f64 (exp.f64 (/.f64 n (*.f64 i i))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (*.f64 i i)))))
(cbrt.f64 (pow.f64 (/.f64 n (*.f64 i i)) 3))
(expm1.f64 (log1p.f64 (/.f64 n (*.f64 i i))))
(exp.f64 (log.f64 (/.f64 n (*.f64 i i))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (*.f64 i i))) 1))
(log1p.f64 (expm1.f64 (/.f64 n (*.f64 i i))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)))) 1)
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)) 1)
(*.f64 1 (*.f64 (*.f64 i i) (/.f64 100/3 n)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 100/3 n)) i) (*.f64 (sqrt.f64 (/.f64 100/3 n)) i))
(*.f64 (cbrt.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))) (cbrt.f64 (/.f64 10000/9 (/.f64 (*.f64 n n) (pow.f64 i 4)))))
(*.f64 (cbrt.f64 (/.f64 10000/9 (/.f64 (*.f64 n n) (pow.f64 i 4)))) (cbrt.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))))
(*.f64 (/.f64 100/3 n) (*.f64 i i))
(*.f64 (/.f64 (*.f64 i i) n) 100/3)
(*.f64 -100/3 (/.f64 1 (*.f64 n (neg.f64 (pow.f64 i -2)))))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (*.f64 (/.f64 100/3 n) 1) (*.f64 i i))
(*.f64 (*.f64 (/.f64 100/3 n) (cbrt.f64 (pow.f64 i 4))) (pow.f64 (cbrt.f64 i) 2))
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100/3 (neg.f64 n)) (*.f64 i (neg.f64 i)))
(pow.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)) 1)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 100/3 n)) i) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 n (*.f64 i i)) 3/100) -1)
(sqrt.f64 (/.f64 10000/9 (/.f64 (*.f64 n n) (pow.f64 i 4))))
(log.f64 (pow.f64 (exp.f64 100/3) (/.f64 (*.f64 i i) n)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))))
(exp.f64 (log.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))))
Outputs
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(/.f64 n (pow.f64 i 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
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(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
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(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (*.f64 i i)))) 1)
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 n (pow.f64 i -2))
(/.f64 n (*.f64 i i))
(*.f64 (/.f64 n (*.f64 i i)) 1)
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 1 (/.f64 n (*.f64 i i)))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 (/.f64 (sqrt.f64 n) i) (/.f64 (sqrt.f64 n) i))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (pow.f64 i -2)))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 (cbrt.f64 (/.f64 n (*.f64 i i))) (pow.f64 (cbrt.f64 (/.f64 n (*.f64 i i))) 2))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (*.f64 i i))) 2) (cbrt.f64 (/.f64 n (*.f64 i i))))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (pow.f64 i -2)))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 (/.f64 n i) (/.f64 1 i))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 (pow.f64 i -2) n)
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 (neg.f64 n) (/.f64 1 (*.f64 i (neg.f64 i))))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 (/.f64 1 i) (/.f64 n i))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) (/.f64 n (pow.f64 (cbrt.f64 i) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) n) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (pow.f64 i 4)))
(/.f64 n (*.f64 (cbrt.f64 (pow.f64 i 4)) (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (*.f64 i i)))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 i 4))) (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 i) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 i 4))) n) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (pow.f64 i 4)))
(/.f64 n (*.f64 (cbrt.f64 (pow.f64 i 4)) (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) i) (/.f64 (cbrt.f64 n) i))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (*.f64 i i)))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (pow.f64 i 4))) (cbrt.f64 (/.f64 n (*.f64 i i))))
(*.f64 (cbrt.f64 (/.f64 n (*.f64 i i))) (/.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (pow.f64 i 4))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 n (pow.f64 i -2))) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 i 4)))
(*.f64 (cbrt.f64 (*.f64 n (pow.f64 i -2))) (/.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (pow.f64 i 4))))
(pow.f64 (/.f64 n (*.f64 i i)) 1)
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(pow.f64 (/.f64 (sqrt.f64 n) i) 2)
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(pow.f64 (cbrt.f64 (/.f64 n (*.f64 i i))) 3)
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(pow.f64 (pow.f64 (/.f64 n (*.f64 i i)) 3) 1/3)
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(pow.f64 (/.f64 (*.f64 i i) n) -1)
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(neg.f64 (/.f64 n (*.f64 i (neg.f64 i))))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(sqrt.f64 (/.f64 (*.f64 n n) (pow.f64 i 4)))
(sqrt.f64 (/.f64 n (/.f64 (pow.f64 i 4) n)))
(fabs.f64 (*.f64 n (pow.f64 i -2)))
(log.f64 (exp.f64 (/.f64 n (*.f64 i i))))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (*.f64 i i)))))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(cbrt.f64 (pow.f64 (/.f64 n (*.f64 i i)) 3))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(expm1.f64 (log1p.f64 (/.f64 n (*.f64 i i))))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(exp.f64 (log.f64 (/.f64 n (*.f64 i i))))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(exp.f64 (*.f64 (log.f64 (/.f64 n (*.f64 i i))) 1))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(log1p.f64 (expm1.f64 (/.f64 n (*.f64 i i))))
(/.f64 n (*.f64 i i))
(*.f64 n (pow.f64 i -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)))) 1)
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)) 1)
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 1 (*.f64 (*.f64 i i) (/.f64 100/3 n)))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 (*.f64 (sqrt.f64 (/.f64 100/3 n)) i) (*.f64 (sqrt.f64 (/.f64 100/3 n)) i))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 (cbrt.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))) (cbrt.f64 (/.f64 10000/9 (/.f64 (*.f64 n n) (pow.f64 i 4)))))
(*.f64 (cbrt.f64 (*.f64 i (*.f64 i (/.f64 100/3 n)))) (cbrt.f64 (*.f64 (/.f64 10000/9 (*.f64 n n)) (pow.f64 i 4))))
(*.f64 (cbrt.f64 (*.f64 i (*.f64 i (/.f64 100/3 n)))) (cbrt.f64 (*.f64 (pow.f64 i 4) (/.f64 10000/9 (*.f64 n n)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))) (cbrt.f64 (pow.f64 (*.f64 i (sqrt.f64 (/.f64 100/3 n))) 4)))
(*.f64 (cbrt.f64 (/.f64 10000/9 (/.f64 (*.f64 n n) (pow.f64 i 4)))) (cbrt.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))))
(*.f64 (cbrt.f64 (*.f64 i (*.f64 i (/.f64 100/3 n)))) (cbrt.f64 (*.f64 (/.f64 10000/9 (*.f64 n n)) (pow.f64 i 4))))
(*.f64 (cbrt.f64 (*.f64 i (*.f64 i (/.f64 100/3 n)))) (cbrt.f64 (*.f64 (pow.f64 i 4) (/.f64 10000/9 (*.f64 n n)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))) (cbrt.f64 (pow.f64 (*.f64 i (sqrt.f64 (/.f64 100/3 n))) 4)))
(*.f64 (/.f64 100/3 n) (*.f64 i i))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 (/.f64 (*.f64 i i) n) 100/3)
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 -100/3 (/.f64 1 (*.f64 n (neg.f64 (pow.f64 i -2)))))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 (*.f64 (/.f64 100/3 n) 1) (*.f64 i i))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 (*.f64 (/.f64 100/3 n) (cbrt.f64 (pow.f64 i 4))) (pow.f64 (cbrt.f64 i) 2))
(*.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 (pow.f64 i 4)) (/.f64 100/3 n)))
(*.f64 (cbrt.f64 (pow.f64 i 4)) (*.f64 (/.f64 100/3 n) (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 100/3 n) (*.f64 (cbrt.f64 (pow.f64 i 4)) (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 (/.f64 100/3 (neg.f64 n)) (*.f64 i (neg.f64 i)))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(pow.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)) 1)
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 100/3 n)) i) 2)
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))) 3)
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(pow.f64 (pow.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)) 3) 1/3)
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(pow.f64 (*.f64 (/.f64 n (*.f64 i i)) 3/100) -1)
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(sqrt.f64 (/.f64 10000/9 (/.f64 (*.f64 n n) (pow.f64 i 4))))
(sqrt.f64 (*.f64 (/.f64 10000/9 (*.f64 n n)) (pow.f64 i 4)))
(sqrt.f64 (*.f64 (pow.f64 i 4) (/.f64 10000/9 (*.f64 n n))))
(sqrt.f64 (pow.f64 (*.f64 i (sqrt.f64 (/.f64 100/3 n))) 4))
(log.f64 (pow.f64 (exp.f64 100/3) (/.f64 (*.f64 i i) n)))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)))))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n)) 3))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(exp.f64 (log.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))) 1))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 i i) (/.f64 100/3 n))))
(*.f64 i (*.f64 i (/.f64 100/3 n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
7.9b
(/.f64 i (*.f64 n (expm1.f64 i)))
Compiler

Compiled 25 to 8 computations (68% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
i
@inf
(/.f64 i (*.f64 n (expm1.f64 i)))
0.0ms
i
@-inf
(/.f64 i (*.f64 n (expm1.f64 i)))
0.0ms
i
@0
(/.f64 i (*.f64 n (expm1.f64 i)))
0.0ms
n
@0
(/.f64 i (*.f64 n (expm1.f64 i)))
0.0ms
n
@-inf
(/.f64 i (*.f64 n (expm1.f64 i)))

rewrite74.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1512×associate-*l/
1362×associate-/l*
1028×*-commutative
664×swap-sqr
526×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
121240
2279740
Stop Event
node limit
Counts
2 → 139
Calls
Call 1
Inputs
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
Outputs
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(expm1.f64 i) (/.f64 100 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))))))))

simplify87.0ms (0.4%)

Algorithm
egg-herbie
Rules
1842×distribute-lft-in
1830×distribute-rgt-in
1308×associate-/r/
540×associate-*r*
512×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03534649
19774567
238224567
Stop Event
node limit
Counts
187 → 205
Calls
Call 1
Inputs
(/.f64 1 n)
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(-.f64 (exp.f64 (log1p.f64 (/.f64 i (*.f64 n (expm1.f64 i))))) 1)
(*.f64 i (/.f64 1 (*.f64 n (expm1.f64 i))))
(*.f64 i (neg.f64 (/.f64 -1 (*.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 i (*.f64 n (expm1.f64 i))) 1)
(*.f64 1 (/.f64 i (*.f64 n (expm1.f64 i))))
(*.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(*.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))))
(*.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) (/.f64 1 (*.f64 n (expm1.f64 i)))))
(*.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2))
(*.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2) (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))))
(*.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) (/.f64 1 (*.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 i n) (/.f64 1 (expm1.f64 i)))
(*.f64 (/.f64 1 (*.f64 n (expm1.f64 i))) i)
(*.f64 (neg.f64 i) (/.f64 -1 (*.f64 n (expm1.f64 i))))
(*.f64 (sqrt.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i))))) (neg.f64 (sqrt.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i)))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i))))) (cbrt.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i)))))) (neg.f64 (cbrt.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i)))))))
(*.f64 (*.f64 (sqrt.f64 i) (/.f64 1 (*.f64 n (expm1.f64 i)))) (sqrt.f64 i))
(*.f64 (*.f64 (cbrt.f64 i) (/.f64 1 (*.f64 n (expm1.f64 i)))) (pow.f64 (cbrt.f64 i) 2))
(*.f64 (/.f64 i (expm1.f64 i)) (/.f64 1 n))
(*.f64 (/.f64 i 1) (/.f64 1 (*.f64 n (expm1.f64 i))))
(*.f64 (/.f64 i (sqrt.f64 (*.f64 n (expm1.f64 i)))) (/.f64 1 (sqrt.f64 (*.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 1 n) (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 1 (expm1.f64 i)) (/.f64 i n))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 n (expm1.f64 i)))) (/.f64 i (sqrt.f64 (*.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2)) (/.f64 i (cbrt.f64 (*.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 i (cbrt.f64 (*.f64 n (expm1.f64 i)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2)))
(*.f64 -1 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i))))) (neg.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)) (neg.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i))))))
(*.f64 (/.f64 -1 (*.f64 n (expm1.f64 i))) (neg.f64 i))
(*.f64 (/.f64 (sqrt.f64 i) n) (/.f64 (sqrt.f64 i) (expm1.f64 i)))
(*.f64 (/.f64 (sqrt.f64 i) (expm1.f64 i)) (/.f64 (sqrt.f64 i) n))
(*.f64 (/.f64 (sqrt.f64 i) 1) (/.f64 (sqrt.f64 i) (*.f64 n (expm1.f64 i))))
(*.f64 (/.f64 (sqrt.f64 i) (*.f64 n (expm1.f64 i))) (sqrt.f64 i))
(*.f64 (/.f64 (sqrt.f64 i) (*.f64 n (expm1.f64 i))) (/.f64 (sqrt.f64 i) 1))
(*.f64 (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2)) (/.f64 (sqrt.f64 i) (cbrt.f64 (*.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 (sqrt.f64 i) (cbrt.f64 (*.f64 n (expm1.f64 i)))) (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) n) (/.f64 (cbrt.f64 i) (expm1.f64 i)))
(*.f64 (/.f64 (cbrt.f64 i) (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (expm1.f64 i)) (/.f64 (cbrt.f64 i) n))
(*.f64 (/.f64 (cbrt.f64 i) n) (/.f64 (pow.f64 (cbrt.f64 i) 2) (expm1.f64 i)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) 1) (/.f64 (cbrt.f64 i) (*.f64 n (expm1.f64 i))))
(*.f64 (/.f64 (cbrt.f64 i) (*.f64 n (expm1.f64 i))) (/.f64 (pow.f64 (cbrt.f64 i) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (*.f64 n (expm1.f64 i)))) (/.f64 (cbrt.f64 i) (sqrt.f64 (*.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 (cbrt.f64 i) (sqrt.f64 (*.f64 n (expm1.f64 i)))) (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (*.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2)) (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 n (expm1.f64 i))) (cbrt.f64 i))
(*.f64 (/.f64 1 (/.f64 (*.f64 n (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2))) (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(*.f64 (/.f64 (/.f64 i n) (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1)) (+.f64 1 (exp.f64 i)))
(*.f64 (/.f64 (/.f64 i n) (-.f64 (pow.f64 (exp.f64 i) 3) 1)) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (exp.f64 i))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i)))))) (sqrt.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i))))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i))))) (cbrt.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i))))))) (cbrt.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i))))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))) (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2))) (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(pow.f64 (/.f64 i (*.f64 n (expm1.f64 i))) 1)
(pow.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)
(pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 3)
(pow.f64 (pow.f64 (/.f64 i (*.f64 n (expm1.f64 i))) 3) 1/3)
(pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) -1)
(neg.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i)))))
(neg.f64 (/.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i)))) 1))
(sqrt.f64 (pow.f64 (/.f64 i (*.f64 n (expm1.f64 i))) 2))
(log.f64 (exp.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 i (*.f64 n (expm1.f64 i))))))
(cbrt.f64 (pow.f64 (/.f64 i (*.f64 n (expm1.f64 i))) 3))
(cbrt.f64 (/.f64 (pow.f64 i 3) (pow.f64 (*.f64 n (expm1.f64 i)) 3)))
(expm1.f64 (log1p.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(exp.f64 (log.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(log1p.f64 (expm1.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(+.f64 (*.f64 (*.f64 n (/.f64 100 i)) (exp.f64 i)) (*.f64 (*.f64 n (/.f64 100 i)) -1))
(+.f64 (*.f64 (exp.f64 i) (*.f64 n (/.f64 100 i))) (*.f64 -1 (*.f64 n (/.f64 100 i))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))))) 1)
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i)))
(*.f64 (*.f64 n (expm1.f64 i)) (/.f64 100 i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))) 1)
(*.f64 1 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))))
(*.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))))
(*.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (*.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (/.f64 100 i)))
(*.f64 (cbrt.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))) (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))) 2) (cbrt.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))))
(*.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (/.f64 100 i)))
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 -100 (*.f64 (neg.f64 (/.f64 n i)) (expm1.f64 i)))
(*.f64 (*.f64 n (neg.f64 (expm1.f64 i))) (/.f64 100 (neg.f64 i)))
(*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n)
(*.f64 (*.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (/.f64 100 i)) (sqrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (/.f64 100 i)) (cbrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 (/.f64 1 i) (*.f64 (*.f64 n (expm1.f64 i)) 100))
(*.f64 (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (sqrt.f64 i)) (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)) (*.f64 100 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))))
(*.f64 (/.f64 100 (sqrt.f64 i)) (/.f64 n (/.f64 (sqrt.f64 i) (expm1.f64 i))))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (/.f64 (cbrt.f64 i) (expm1.f64 i))))
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100))
(*.f64 (/.f64 1 (neg.f64 i)) (*.f64 100 (*.f64 n (neg.f64 (expm1.f64 i)))))
(*.f64 (*.f64 n (/.f64 100 i)) (expm1.f64 i))
(*.f64 (/.f64 100 (neg.f64 i)) (*.f64 n (neg.f64 (expm1.f64 i))))
(*.f64 (*.f64 (neg.f64 (/.f64 n i)) (expm1.f64 i)) -100)
(*.f64 (/.f64 100 (/.f64 i (expm1.f64 i))) n)
(*.f64 (/.f64 100 (/.f64 i (sqrt.f64 (*.f64 n (expm1.f64 i))))) (sqrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 (/.f64 100 (/.f64 i 1)) (*.f64 n (expm1.f64 i)))
(*.f64 (/.f64 100 (/.f64 i (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2))) (cbrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 (/.f64 100 (/.f64 i (*.f64 n (sqrt.f64 (expm1.f64 i))))) (sqrt.f64 (expm1.f64 i)))
(*.f64 (/.f64 100 (/.f64 (/.f64 i n) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) (cbrt.f64 (expm1.f64 i)))
(*.f64 (/.f64 100 (/.f64 i (neg.f64 n))) (neg.f64 (expm1.f64 i)))
(*.f64 (/.f64 (/.f64 100 i) 1) (*.f64 n (expm1.f64 i)))
(*.f64 (/.f64 (/.f64 100 i) 1) (/.f64 n (/.f64 1 (expm1.f64 i))))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 n)) (expm1.f64 i))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 (expm1.f64 i))) n)
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 (sqrt.f64 (*.f64 n (expm1.f64 i))))) (sqrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2))) (cbrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 (/.f64 (/.f64 100 i) -1) (*.f64 n (neg.f64 (expm1.f64 i))))
(*.f64 (/.f64 -100 (/.f64 i (neg.f64 n))) (expm1.f64 i))
(*.f64 (/.f64 -100 i) (*.f64 n (neg.f64 (expm1.f64 i))))
(*.f64 (/.f64 (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) 1) (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))
(*.f64 (/.f64 (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) (sqrt.f64 (/.f64 i n))) (sqrt.f64 (expm1.f64 i)))
(*.f64 (/.f64 (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (*.f64 n (neg.f64 (expm1.f64 i)))))
(*.f64 (/.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)) 1) (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))
(*.f64 (/.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)) (cbrt.f64 i)) (cbrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 (/.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)) (cbrt.f64 (/.f64 i n))) (cbrt.f64 (expm1.f64 i)))
(*.f64 (/.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)) (cbrt.f64 (neg.f64 i))) (cbrt.f64 (*.f64 n (neg.f64 (expm1.f64 i)))))
(pow.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))) 1)
(pow.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) 2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))) 3)
(pow.f64 (pow.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 i) 100)) -1)
(neg.f64 (*.f64 (/.f64 100 (neg.f64 i)) (*.f64 n (expm1.f64 i))))
(sqrt.f64 (pow.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))) 2))
(log.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 i) (/.f64 n i))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))))))
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))) 3))
(expm1.f64 (log1p.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))))
(exp.f64 (log.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))))
(log1p.f64 (expm1.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))))
Outputs
(/.f64 1 n)
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (/.f64 1 n))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))))
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (/.f64 i n))))
(+.f64 (/.f64 1 n) (fma.f64 -1/2 (/.f64 i n) (*.f64 1/12 (/.f64 i (/.f64 n i)))))
(+.f64 (fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)) (*.f64 (/.f64 1/12 n) (*.f64 i i)))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 (*.f64 i i) n) (fma.f64 -1/2 (/.f64 i n) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 i (/.f64 n i)) (fma.f64 -1/2 (/.f64 i n) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(+.f64 (/.f64 1 n) (fma.f64 1/12 (*.f64 (/.f64 i n) i) (fma.f64 -1/2 (/.f64 i n) (*.f64 (/.f64 -1/720 n) (pow.f64 i 4)))))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 100 n)
(*.f64 n 100)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 n i) (*.f64 n 100))
(fma.f64 n 100 (*.f64 n (*.f64 i 50)))
(fma.f64 n 100 (*.f64 i (*.f64 n 50)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 n 100)))
(fma.f64 50 (*.f64 n i) (fma.f64 n 100 (*.f64 n (*.f64 (*.f64 i i) 50/3))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 n 100))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 n 100 (*.f64 n (*.f64 (*.f64 i i) 50/3)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(-.f64 (exp.f64 (log1p.f64 (/.f64 i (*.f64 n (expm1.f64 i))))) 1)
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 i (/.f64 1 (*.f64 n (expm1.f64 i))))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 i (neg.f64 (/.f64 -1 (*.f64 n (expm1.f64 i)))))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 (/.f64 i (*.f64 n (expm1.f64 i))) 1)
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 1 (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) (/.f64 1 (*.f64 n (expm1.f64 i)))))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 i n) (expm1.f64 i))) (pow.f64 (cbrt.f64 i) 2)) (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2))
(*.f64 (/.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2)) (pow.f64 (cbrt.f64 i) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2) (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) (/.f64 1 (*.f64 n (expm1.f64 i)))))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 (/.f64 i n) (/.f64 1 (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 (/.f64 1 (*.f64 n (expm1.f64 i))) i)
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 (neg.f64 i) (/.f64 -1 (*.f64 n (expm1.f64 i))))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (expm1.f64 i)))
(*.f64 (sqrt.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i))))) (neg.f64 (sqrt.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i)))))))
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(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 1 i) (*.f64 (*.f64 n (expm1.f64 i)) 100))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (sqrt.f64 i)) (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))))
(*.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (/.f64 (*.f64 100 (sqrt.f64 (*.f64 n (expm1.f64 i)))) (sqrt.f64 i)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)) (/.f64 (*.f64 100 (sqrt.f64 (*.f64 n (expm1.f64 i)))) (sqrt.f64 i)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)) (*.f64 100 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 i n) (expm1.f64 i))) 2)) (*.f64 100 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))))
(/.f64 (*.f64 100 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2))
(/.f64 (*.f64 100 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n))) (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2))
(*.f64 (/.f64 100 (sqrt.f64 i)) (/.f64 n (/.f64 (sqrt.f64 i) (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (/.f64 (cbrt.f64 i) (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 1 (neg.f64 i)) (*.f64 100 (*.f64 n (neg.f64 (expm1.f64 i)))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (*.f64 n (/.f64 100 i)) (expm1.f64 i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 100 (neg.f64 i)) (*.f64 n (neg.f64 (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (*.f64 (neg.f64 (/.f64 n i)) (expm1.f64 i)) -100)
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 100 (/.f64 i (expm1.f64 i))) n)
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 100 (/.f64 i (sqrt.f64 (*.f64 n (expm1.f64 i))))) (sqrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 100 (/.f64 i 1)) (*.f64 n (expm1.f64 i)))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 100 (/.f64 i (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2))) (cbrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 100 (/.f64 i (*.f64 n (sqrt.f64 (expm1.f64 i))))) (sqrt.f64 (expm1.f64 i)))
(/.f64 (*.f64 100 (sqrt.f64 (expm1.f64 i))) (/.f64 (/.f64 i n) (sqrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 100 i) (*.f64 (*.f64 n (sqrt.f64 (expm1.f64 i))) (sqrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 100 (/.f64 (/.f64 i n) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) (cbrt.f64 (expm1.f64 i)))
(*.f64 (cbrt.f64 (expm1.f64 i)) (*.f64 (/.f64 100 (/.f64 i n)) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)))
(*.f64 (*.f64 n (/.f64 100 i)) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (cbrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 100 (/.f64 i (neg.f64 n))) (neg.f64 (expm1.f64 i)))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (/.f64 100 i) 1) (*.f64 n (expm1.f64 i)))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (/.f64 100 i) 1) (/.f64 n (/.f64 1 (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 n)) (expm1.f64 i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 (expm1.f64 i))) n)
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 (sqrt.f64 (*.f64 n (expm1.f64 i))))) (sqrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2))) (cbrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (/.f64 100 i) -1) (*.f64 n (neg.f64 (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 -100 (/.f64 i (neg.f64 n))) (expm1.f64 i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 -100 i) (*.f64 n (neg.f64 (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) 1) (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) (sqrt.f64 (/.f64 i n))) (sqrt.f64 (expm1.f64 i)))
(*.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 100 (/.f64 (sqrt.f64 (/.f64 i n)) (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))
(*.f64 (sqrt.f64 (expm1.f64 i)) (*.f64 (/.f64 100 (sqrt.f64 (/.f64 i n))) (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))))
(*.f64 (sqrt.f64 (expm1.f64 i)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)) (sqrt.f64 (/.f64 i n))) 100))
(*.f64 (/.f64 (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (*.f64 n (neg.f64 (expm1.f64 i)))))
(*.f64 (/.f64 100 (/.f64 (sqrt.f64 (neg.f64 i)) (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))) (sqrt.f64 (*.f64 n (neg.f64 (expm1.f64 i)))))
(*.f64 (*.f64 (/.f64 100 (sqrt.f64 (neg.f64 i))) (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) (sqrt.f64 (*.f64 n (neg.f64 (expm1.f64 i)))))
(*.f64 (*.f64 (/.f64 100 (sqrt.f64 (neg.f64 i))) (sqrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n))) (sqrt.f64 (*.f64 (expm1.f64 i) (neg.f64 n))))
(*.f64 (/.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)) 1) (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 i n) (expm1.f64 i))) 2)) (*.f64 100 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))))
(/.f64 (*.f64 100 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2))
(/.f64 (*.f64 100 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n))) (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2))
(*.f64 (/.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)) (cbrt.f64 i)) (cbrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) (/.f64 100 (*.f64 (cbrt.f64 i) (pow.f64 (cbrt.f64 (/.f64 (/.f64 i n) (expm1.f64 i))) 2))))
(*.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) (/.f64 (/.f64 100 (cbrt.f64 i)) (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)))
(/.f64 (*.f64 100 (cbrt.f64 (*.f64 n (expm1.f64 i)))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2) (cbrt.f64 i)))
(*.f64 (/.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)) (cbrt.f64 (/.f64 i n))) (cbrt.f64 (expm1.f64 i)))
(*.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 100 (*.f64 (cbrt.f64 (/.f64 i n)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 i n) (expm1.f64 i))) 2))))
(*.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 (/.f64 100 (cbrt.f64 (/.f64 i n))) (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)))
(*.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 100 (*.f64 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2) (cbrt.f64 (/.f64 i n)))))
(*.f64 (/.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)) (cbrt.f64 (neg.f64 i))) (cbrt.f64 (*.f64 n (neg.f64 (expm1.f64 i)))))
(*.f64 (/.f64 100 (*.f64 (cbrt.f64 (neg.f64 i)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 i n) (expm1.f64 i))) 2))) (cbrt.f64 (*.f64 n (neg.f64 (expm1.f64 i)))))
(*.f64 (/.f64 (/.f64 100 (cbrt.f64 (neg.f64 i))) (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)) (cbrt.f64 (*.f64 n (neg.f64 (expm1.f64 i)))))
(*.f64 (/.f64 (/.f64 100 (cbrt.f64 (neg.f64 i))) (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2)) (cbrt.f64 (*.f64 (expm1.f64 i) (neg.f64 n))))
(pow.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))) 1)
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(pow.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) 2)
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))) 3)
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(pow.f64 (pow.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))) 3) 1/3)
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(pow.f64 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 i) 100)) -1)
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(neg.f64 (*.f64 (/.f64 100 (neg.f64 i)) (*.f64 n (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(sqrt.f64 (pow.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))) 2))
(fabs.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))))
(fabs.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)))
(log.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 i) (/.f64 n i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))) 3))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(expm1.f64 (log1p.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(exp.f64 (log.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(log1p.f64 (expm1.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))

localize105.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.3b
(*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))
8.1b
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)
8.5b
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))
12.6b
(+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))
Compiler

Compiled 189 to 125 computations (33.9% saved)

series6.0ms (0%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
0.0ms
i
@inf
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)
0.0ms
n
@-inf
(*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))
0.0ms
i
@inf
(+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))
0.0ms
i
@-inf
(*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))
0.0ms
n
@inf
(*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))

rewrite82.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
616×add-sqr-sqrt
588×*-un-lft-identity
586×pow1
582×add-exp-log
582×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025298
1609298
Stop Event
node limit
Counts
4 → 101
Calls
Call 1
Inputs
(+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))
(*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)
(*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))
Outputs
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simplify180.0ms (0.9%)

Algorithm
egg-herbie
Rules
1574×associate-/r*
1048×+-commutative
1032×associate-*r*
926×associate-*l*
760×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040819379
1133517513
2631117513
Stop Event
node limit
Counts
197 → 276
Calls
Call 1
Inputs
i
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 i 3)) (*.f64 1/2 (pow.f64 i 2))) n)) (*.f64 1/2 (pow.f64 i 2)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 i 3)) (*.f64 1/2 (pow.f64 i 2))) n)) (*.f64 1/2 (pow.f64 i 2))))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 i 3)) (*.f64 1/2 (pow.f64 i 2))) n)) (*.f64 1/2 (pow.f64 i 2))))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 1/6 (pow.f64 i 3)) (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))))
(*.f64 1/6 (pow.f64 i 3))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))) 1) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))) i))
(*.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))) (cbrt.f64 (*.f64 i i))) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))) (cbrt.f64 i)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))) i))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100)) 2)) (sqrt.f64 i)) (/.f64 (cbrt.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))) (sqrt.f64 i)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100)) 2)) (cbrt.f64 (*.f64 i i))) (/.f64 (cbrt.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))) (cbrt.f64 i)))
(pow.f64 (*.f64 (/.f64 (*.f64 n 100) i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) 1)
(neg.f64 (/.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100)) (neg.f64 i)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 n 100) i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 n 100) i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 n 100) i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) (pow.f64 (*.f64 (/.f64 (*.f64 n 100) i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) 2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 n 100) i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 n 100) i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 n 100) i) (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))))
(+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))))
(+.f64 (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))))
(+.f64 (*.f64 (*.f64 n 100) (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) (*.f64 (*.f64 n 100) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))
(+.f64 (*.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 n 100)) (*.f64 (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))) (*.f64 n 100)))
(+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) 1) (*.f64 (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) 1))
(/.f64 (*.f64 (*.f64 n 100) (-.f64 (pow.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (pow.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) 2))) (-.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (pow.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3) (pow.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) 3))) (+.f64 (pow.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (*.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) (-.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (pow.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) 2)) (*.f64 n 100)) (-.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3) (pow.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) 3)) (*.f64 n 100)) (+.f64 (pow.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (*.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) (-.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100)))) (*.f64 (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))))) (-.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) 3) (pow.f64 (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) 3)) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100)))) (-.f64 (*.f64 (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))) (*.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))))))
(pow.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100)) 1)
(sqrt.f64 (pow.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100)) 2))
(log.f64 (exp.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))))
(cbrt.f64 (*.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100)) (pow.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100)) 2)))
(expm1.f64 (log1p.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))))
(exp.f64 (log.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))))
(log1p.f64 (expm1.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))))
Outputs
i
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) i)
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n)))))
(fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n)))))
(fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n)))
(*.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))))
(+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n)))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n)))))
(fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n)))))
(fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n)))
(*.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))))
(+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n)))))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n)))))
(fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i))
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n)))))
(fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i))
(*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))
(*.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)))
(*.f64 (pow.f64 i 3) (/.f64 1/3 (*.f64 n n)))
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(*.f64 (/.f64 (*.f64 n 100) (-.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i))) (-.f64 (pow.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) 2) (pow.f64 (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i) 2)))
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (pow.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3) (pow.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) 3))) (+.f64 (pow.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (*.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) (-.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))) 3) (pow.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))) 3)) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))) (+.f64 i (-.f64 (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n))))) (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))) (*.f64 n 100)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) 3) (pow.f64 (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i) 3)) (fma.f64 (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i) (-.f64 (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i) (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) (pow.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) 2))) (*.f64 n 100))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (pow.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) 2)) (*.f64 n 100)) (-.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))) 2)) (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))) i) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))) (*.f64 n 100)))
(*.f64 (/.f64 (*.f64 n 100) (-.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i))) (-.f64 (pow.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) 2) (pow.f64 (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3) (pow.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) 3)) (*.f64 n 100)) (+.f64 (pow.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (*.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) (-.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))) (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))) 3) (pow.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))) 3)) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))) (+.f64 i (-.f64 (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n))))) (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))) (*.f64 n 100)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) 3) (pow.f64 (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i) 3)) (fma.f64 (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i) (-.f64 (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i) (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) (pow.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) 2))) (*.f64 n 100))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100)))) (*.f64 (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))))) (-.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))))
(/.f64 (*.f64 (fma.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100)) (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n))))))))) (-.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))))) (-.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n))))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) 2) (*.f64 (*.f64 n 100) (*.f64 n 100))) (*.f64 n (*.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i) 2) 10000) n))) (fma.f64 i (*.f64 i (*.f64 n (*.f64 100 (-.f64 1/2 (/.f64 1/2 n))))) (*.f64 (*.f64 n -100) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) 3) (pow.f64 (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) 3)) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100)))) (-.f64 (*.f64 (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))) (*.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) 3) (pow.f64 (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))) 3)) (fma.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))) (*.f64 (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))) (-.f64 (*.f64 n (*.f64 100 (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))) (*.f64 (*.f64 i i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100)))))))
(/.f64 (fma.f64 (pow.f64 i 6) (pow.f64 (*.f64 n (*.f64 100 (-.f64 1/2 (/.f64 1/2 n)))) 3) (pow.f64 (*.f64 100 (*.f64 n (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i))) 3)) (fma.f64 (*.f64 100 (*.f64 n (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i))) (fma.f64 (*.f64 n 100) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i) (*.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) (*.f64 n -100))) (*.f64 (pow.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) 2) (*.f64 (*.f64 n 100) (*.f64 n 100)))))
(pow.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100)) 1)
(fma.f64 100 (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n)))) (*.f64 100 (+.f64 (*.f64 n (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) (*.f64 i n))))
(*.f64 (fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i)) (*.f64 n 100))
(sqrt.f64 (pow.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100)) 2))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 n (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))) 100) 2))
(fabs.f64 (*.f64 (fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i)) (*.f64 n 100)))
(log.f64 (exp.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))))
(fma.f64 100 (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n)))) (*.f64 100 (+.f64 (*.f64 n (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) (*.f64 i n))))
(*.f64 (fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i)) (*.f64 n 100))
(cbrt.f64 (*.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100)) (pow.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100)) 2)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 n (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))) 100) (pow.f64 (*.f64 (*.f64 n (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 1/6 (/.f64 1/3 (*.f64 n n)))))))) 100) 2)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i)) (*.f64 n 100)) 3))
(expm1.f64 (log1p.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))))
(fma.f64 100 (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n)))) (*.f64 100 (+.f64 (*.f64 n (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) (*.f64 i n))))
(*.f64 (fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i)) (*.f64 n 100))
(exp.f64 (log.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))))
(fma.f64 100 (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n)))) (*.f64 100 (+.f64 (*.f64 n (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) (*.f64 i n))))
(*.f64 (fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i)) (*.f64 n 100))
(log1p.f64 (expm1.f64 (*.f64 n (*.f64 (fma.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6))))) 100))))
(fma.f64 100 (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/6 (/.f64 1/3 (*.f64 n n))) (/.f64 1/2 n)))) (*.f64 100 (+.f64 (*.f64 n (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) (*.f64 i n))))
(*.f64 (fma.f64 i (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (fma.f64 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) i)) (*.f64 n 100))

eval532.0ms (2.5%)

Compiler

Compiled 30732 to 20813 computations (32.3% saved)

prune266.0ms (1.3%)

Pruning

36 alts after pruning (28 fresh and 8 done)

PrunedKeptTotal
New1046181064
Fresh41014
Picked101
Done189
Total1052361088
Error
0b
Counts
1088 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
17.8b
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
33.8b
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (/.f64 1/3 (*.f64 n n))))))) i)
20.5b
(/.f64 (*.f64 n 100) (+.f64 1 (*.f64 i -1/2)))
45.6b
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
31.2b
(/.f64 (*.f64 100 (*.f64 n i)) i)
34.9b
(/.f64 (*.f64 100 i) (/.f64 i n))
17.4b
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
48.8b
(/.f64 100 (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
54.2b
(/.f64 100 (/.f64 i (*.f64 (*.f64 n n) (neg.f64 (log.f64 (/.f64 n i))))))
19.4b
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
27.7b
(/.f64 100 (/.f64 1 n))
14.5b
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
17.5b
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))
17.5b
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
33.9b
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n 2))))))
18.5b
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)) (*.f64 n n)))))
20.5b
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 -1/2 n))))
18.8b
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 i (*.f64 n n)))))
49.0b
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
60.9b
(/.f64 100/3 (/.f64 n (*.f64 i i)))
19.5b
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
18.3b
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
24.3b
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
19.5b
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
62.2b
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
28.2b
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
62.2b
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
28.1b
(*.f64 n (+.f64 (*.f64 50 i) 100))
27.6b
(*.f64 n 100)
51.1b
(*.f64 200 (/.f64 (*.f64 n n) i))
51.0b
(*.f64 200 (*.f64 n (/.f64 n i)))
20.5b
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
31.4b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))))
17.7b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
45.5b
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
51.0b
0
Compiler

Compiled 905 to 647 computations (28.5% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
0.1b
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
0.1b
(*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))
0.4b
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
Compiler

Compiled 63 to 45 computations (28.6% saved)

series7.0ms (0%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
i
@-inf
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
0.0ms
i
@inf
(+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
0.0ms
n
@-inf
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
0.0ms
i
@0
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
0.0ms
n
@inf
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)

rewrite122.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1538×associate-/r/
1144×distribute-lft-in
804×associate-/l/
346×add-sqr-sqrt
328×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015124
1347124
24879124
Stop Event
node limit
Counts
4 → 274
Calls
Call 1
Inputs
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
(*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))
(/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)
(+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
Outputs
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simplify155.0ms (0.7%)

Algorithm
egg-herbie
Rules
1418×associate-*l*
1168×*-commutative
1004×associate-/r*
752×associate-/l*
662×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084521284
1263720482
Stop Event
node limit
Counts
370 → 528
Calls
Call 1
Inputs
(*.f64 200 (/.f64 (pow.f64 n 2) i))
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(/.f64 (-.f64 (*.f64 (pow.f64 n -2) (pow.f64 n -2)) (*.f64 (pow.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) 2) (pow.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) 2))) (*.f64 (/.f64 (-.f64 1 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) n) (+.f64 (pow.f64 n -2) (pow.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) 2))))
(/.f64 (+.f64 (pow.f64 n 3) (pow.f64 (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) 3)) (*.f64 (*.f64 n n) (+.f64 (*.f64 n n) (-.f64 (*.f64 (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))) (*.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 n -3) 3) (pow.f64 (pow.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) 3) 3)) (*.f64 (-.f64 (pow.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) 2) (-.f64 (*.f64 (pow.f64 n -2) (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (pow.f64 n -2))) (+.f64 (*.f64 (pow.f64 n -3) (pow.f64 n -3)) (-.f64 (*.f64 (pow.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) 3) (pow.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) 3)) (*.f64 (pow.f64 n -3) (pow.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 n -2) 3) (pow.f64 (pow.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) 2) 3)) (*.f64 (/.f64 (-.f64 1 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) n) (+.f64 (*.f64 (pow.f64 n -2) (pow.f64 n -2)) (+.f64 (*.f64 (pow.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) 2) (pow.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) 2)) (*.f64 (pow.f64 n -2) (pow.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) 2))))))
(/.f64 (+.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))) (*.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))
(/.f64 (+.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))) (*.f64 1 (*.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))))
(/.f64 (+.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) (*.f64 n i)) (*.f64 n (/.f64 n (+.f64 -1/2 (/.f64 1/2 n)))))
(/.f64 (+.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) (*.f64 n i)) (*.f64 1 (*.f64 n (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))))))
(/.f64 (+.f64 (neg.f64 n) (*.f64 n (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 n (neg.f64 n)))
(/.f64 (+.f64 (neg.f64 n) (*.f64 n (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 1 (*.f64 n (neg.f64 n))))
(/.f64 (+.f64 (*.f64 -1 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))) (*.f64 (neg.f64 n) 1)) (*.f64 (neg.f64 n) (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))
(/.f64 (+.f64 (*.f64 -1 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))) (*.f64 (neg.f64 n) 1)) (*.f64 1 (*.f64 (neg.f64 n) (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))))
(/.f64 (+.f64 (*.f64 -1 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 (neg.f64 n) i)) (*.f64 (neg.f64 n) (/.f64 n (+.f64 -1/2 (/.f64 1/2 n)))))
(/.f64 (+.f64 (*.f64 -1 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 (neg.f64 n) i)) (*.f64 1 (*.f64 (neg.f64 n) (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))))))
(/.f64 (+.f64 (neg.f64 n) (*.f64 (neg.f64 n) (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))) (*.f64 (neg.f64 n) n))
(/.f64 (+.f64 (neg.f64 n) (*.f64 (neg.f64 n) (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))) (*.f64 1 (*.f64 (neg.f64 n) n)))
(/.f64 (+.f64 n (*.f64 (neg.f64 n) (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 (neg.f64 n) (neg.f64 n)))
(/.f64 (+.f64 n (*.f64 (neg.f64 n) (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 1 (*.f64 (neg.f64 n) (neg.f64 n))))
(/.f64 (+.f64 n (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) 1)) (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) n))
(/.f64 (+.f64 n (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) 1)) (*.f64 1 (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) n)))
(/.f64 (+.f64 (neg.f64 n) (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) -1)) (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (neg.f64 n)))
(/.f64 (+.f64 (neg.f64 n) (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) -1)) (*.f64 1 (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (neg.f64 n))))
(/.f64 (+.f64 (*.f64 i n) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) 1)) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) n))
(/.f64 (+.f64 (*.f64 i n) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) 1)) (*.f64 1 (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) n)))
(/.f64 (+.f64 (*.f64 i (neg.f64 n)) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) -1)) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n)))
(/.f64 (+.f64 (*.f64 i (neg.f64 n)) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) -1)) (*.f64 1 (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n))))
(/.f64 (+.f64 (*.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n)) (*.f64 n -1)) (*.f64 n (neg.f64 n)))
(/.f64 (+.f64 (*.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n)) (*.f64 n -1)) (*.f64 1 (*.f64 n (neg.f64 n))))
(/.f64 (+.f64 (*.f64 (neg.f64 n) 1) (*.f64 (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))) n)) (*.f64 (neg.f64 n) n))
(/.f64 (+.f64 (*.f64 (neg.f64 n) 1) (*.f64 (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))) n)) (*.f64 1 (*.f64 (neg.f64 n) n)))
(/.f64 (+.f64 (*.f64 (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))) (neg.f64 n)) (*.f64 (neg.f64 n) -1)) (*.f64 (neg.f64 n) (neg.f64 n)))
(/.f64 (+.f64 (*.f64 (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))) (neg.f64 n)) (*.f64 (neg.f64 n) -1)) (*.f64 1 (*.f64 (neg.f64 n) (neg.f64 n))))
(pow.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) 1)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))
(exp.f64 (log.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))
(fma.f64 1 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))
(fma.f64 1 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) (pow.f64 n -1))
(fma.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) (pow.f64 n -1) (pow.f64 n -1))
(fma.f64 (pow.f64 n -1/2) (pow.f64 n -1/2) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))
(fma.f64 (sqrt.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) (sqrt.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) (pow.f64 n -1))
(fma.f64 (cbrt.f64 (pow.f64 n -2)) (/.f64 1 (cbrt.f64 n)) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) 2) (cbrt.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) (pow.f64 n -1))
Outputs
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 200 (/.f64 n (/.f64 i n)))
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2))))
(fma.f64 200 (/.f64 (*.f64 n n) i) (*.f64 -400 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (+.f64 1 (*.f64 i -1/2))))))
(fma.f64 200 (/.f64 n (/.f64 i n)) (/.f64 (*.f64 -400 (pow.f64 n 3)) (/.f64 i (/.f64 (+.f64 1 (*.f64 i -1/2)) i))))
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2))) (*.f64 800 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)) (pow.f64 i 3)))))
(fma.f64 200 (/.f64 (*.f64 n n) i) (fma.f64 -400 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (+.f64 1 (*.f64 i -1/2)))) (*.f64 800 (/.f64 (pow.f64 n 4) (/.f64 (pow.f64 i 3) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2))))))
(fma.f64 200 (/.f64 n (/.f64 i n)) (fma.f64 -400 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (+.f64 1 (*.f64 i -1/2))) (/.f64 (*.f64 800 (pow.f64 n 4)) (/.f64 (pow.f64 i 3) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2)))))
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2))) (+.f64 (*.f64 -1600 (/.f64 (*.f64 (pow.f64 n 5) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)) (pow.f64 i 4))) (*.f64 800 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)) (pow.f64 i 3))))))
(fma.f64 200 (/.f64 (*.f64 n n) i) (fma.f64 -400 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (+.f64 1 (*.f64 i -1/2)))) (fma.f64 -1600 (/.f64 (pow.f64 n 5) (/.f64 (pow.f64 i 4) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 3))) (*.f64 800 (/.f64 (pow.f64 n 4) (/.f64 (pow.f64 i 3) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2)))))))
(fma.f64 200 (/.f64 n (/.f64 i n)) (fma.f64 -400 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (+.f64 1 (*.f64 i -1/2))) (fma.f64 -1600 (*.f64 (/.f64 (pow.f64 n 5) (pow.f64 i 4)) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 3)) (/.f64 (*.f64 800 (pow.f64 n 4)) (/.f64 (pow.f64 i 3) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2))))))
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i))))
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(/.f64 (*.f64 n 100) (+.f64 1 (*.f64 i -1/2)))
(+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2))))
(fma.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2))))
(fma.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))) (/.f64 (*.f64 i -50) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2)))
(+.f64 (*.f64 25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)))) (+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)))))
(fma.f64 25 (/.f64 (*.f64 i i) (*.f64 n (pow.f64 (+.f64 1 (*.f64 i -1/2)) 3))) (fma.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2)))))
(fma.f64 25 (/.f64 (/.f64 i (/.f64 n i)) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 3)) (fma.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))) (/.f64 (*.f64 i -50) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2))))
(+.f64 (*.f64 25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)))) (+.f64 (*.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 n 2) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 4)))) (+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2))))))
(fma.f64 25 (/.f64 (*.f64 i i) (*.f64 n (pow.f64 (+.f64 1 (*.f64 i -1/2)) 3))) (fma.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (+.f64 1 (*.f64 i -1/2)) 4) (*.f64 n n))) (fma.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2))))))
(fma.f64 25 (/.f64 (/.f64 i (/.f64 n i)) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 3)) (fma.f64 -25/2 (/.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 4)) (fma.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))) (/.f64 (*.f64 i -50) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2)))))
(*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1)))
(*.f64 -100 (/.f64 n (fma.f64 1/2 i -1)))
(/.f64 -100 (/.f64 (fma.f64 1/2 i -1) n))
(+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2))))
(fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (*.f64 -50 (/.f64 i (pow.f64 (fma.f64 1/2 i -1) 2))))
(fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (/.f64 -50 (/.f64 (pow.f64 (fma.f64 1/2 i -1) 2) i)))
(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2)))))
(fma.f64 -25 (/.f64 (*.f64 i i) (*.f64 n (pow.f64 (fma.f64 1/2 i -1) 3))) (fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (*.f64 -50 (/.f64 i (pow.f64 (fma.f64 1/2 i -1) 2)))))
(fma.f64 -25 (/.f64 (/.f64 i (/.f64 n i)) (pow.f64 (fma.f64 1/2 i -1) 3)) (fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (/.f64 -50 (/.f64 (pow.f64 (fma.f64 1/2 i -1) 2) i))))
(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 n 2) (pow.f64 (-.f64 (*.f64 1/2 i) 1) 4)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2))))))
(fma.f64 -25 (/.f64 (*.f64 i i) (*.f64 n (pow.f64 (fma.f64 1/2 i -1) 3))) (fma.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (fma.f64 1/2 i -1) 4) (*.f64 n n))) (fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (*.f64 -50 (/.f64 i (pow.f64 (fma.f64 1/2 i -1) 2))))))
(fma.f64 -25 (/.f64 (/.f64 i (/.f64 n i)) (pow.f64 (fma.f64 1/2 i -1) 3)) (fma.f64 -25/2 (/.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (pow.f64 (fma.f64 1/2 i -1) 4)) (fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (/.f64 -50 (/.f64 (pow.f64 (fma.f64 1/2 i -1) 2) i)))))
(*.f64 100 n)
(*.f64 n 100)
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(fma.f64 -100 (*.f64 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 n n)) (*.f64 n 100))
(fma.f64 -100 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 n -2)) (/.f64 -1/2 n)) (*.f64 n (*.f64 n i))) (*.f64 n 100))
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))) (*.f64 100 n)))
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(*.f64 (/.f64 (+.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))) (*.f64 n n)) (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))
(/.f64 (+.f64 (neg.f64 n) (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) -1)) (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (neg.f64 n)))
(/.f64 (fma.f64 -1 (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n)) (*.f64 (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n)))
(*.f64 (/.f64 (*.f64 -1 (+.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 n (neg.f64 n))) (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))
(/.f64 (+.f64 (neg.f64 n) (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) -1)) (*.f64 1 (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (neg.f64 n))))
(/.f64 (fma.f64 -1 (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n)) (*.f64 (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n)))
(*.f64 (/.f64 (*.f64 -1 (+.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 n (neg.f64 n))) (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))
(/.f64 (+.f64 (*.f64 i n) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) 1)) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) n))
(/.f64 (fma.f64 i n (/.f64 n (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 (*.f64 n n) (+.f64 -1/2 (/.f64 1/2 n))))
(/.f64 (fma.f64 i n (/.f64 n (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 n (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))
(/.f64 (+.f64 (*.f64 i n) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) 1)) (*.f64 1 (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) n)))
(/.f64 (fma.f64 i n (/.f64 n (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 (*.f64 n n) (+.f64 -1/2 (/.f64 1/2 n))))
(/.f64 (fma.f64 i n (/.f64 n (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 n (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))
(/.f64 (+.f64 (*.f64 i (neg.f64 n)) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) -1)) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n)))
(/.f64 (fma.f64 i (neg.f64 n) (/.f64 (neg.f64 n) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n)))
(/.f64 (fma.f64 i (neg.f64 n) (/.f64 (neg.f64 n) (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 (*.f64 n (neg.f64 n)) (+.f64 -1/2 (/.f64 1/2 n))))
(/.f64 (+.f64 (*.f64 i (neg.f64 n)) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) -1)) (*.f64 1 (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n))))
(/.f64 (fma.f64 i (neg.f64 n) (/.f64 (neg.f64 n) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 (/.f64 n (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n)))
(/.f64 (fma.f64 i (neg.f64 n) (/.f64 (neg.f64 n) (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 (*.f64 n (neg.f64 n)) (+.f64 -1/2 (/.f64 1/2 n))))
(/.f64 (+.f64 (*.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n)) (*.f64 n -1)) (*.f64 n (neg.f64 n)))
(*.f64 -1 (/.f64 (+.f64 n (*.f64 (*.f64 n i) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (neg.f64 n))))
(/.f64 (*.f64 n (+.f64 -1 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))) (*.f64 n (neg.f64 n)))
(/.f64 (+.f64 (*.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) (neg.f64 n)) (*.f64 n -1)) (*.f64 1 (*.f64 n (neg.f64 n))))
(*.f64 -1 (/.f64 (+.f64 n (*.f64 (*.f64 n i) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (neg.f64 n))))
(/.f64 (*.f64 n (+.f64 -1 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))) (*.f64 n (neg.f64 n)))
(/.f64 (+.f64 (*.f64 (neg.f64 n) 1) (*.f64 (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))) n)) (*.f64 (neg.f64 n) n))
(*.f64 -1 (/.f64 (+.f64 n (*.f64 (*.f64 n i) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (neg.f64 n))))
(/.f64 (*.f64 n (+.f64 -1 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))) (*.f64 n (neg.f64 n)))
(/.f64 (+.f64 (*.f64 (neg.f64 n) 1) (*.f64 (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))) n)) (*.f64 1 (*.f64 (neg.f64 n) n)))
(*.f64 -1 (/.f64 (+.f64 n (*.f64 (*.f64 n i) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (neg.f64 n))))
(/.f64 (*.f64 n (+.f64 -1 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))) (*.f64 n (neg.f64 n)))
(/.f64 (+.f64 (*.f64 (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))) (neg.f64 n)) (*.f64 (neg.f64 n) -1)) (*.f64 (neg.f64 n) (neg.f64 n)))
(/.f64 (fma.f64 (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))) (neg.f64 n) (neg.f64 (neg.f64 n))) (*.f64 n n))
(/.f64 (*.f64 (neg.f64 n) (+.f64 -1 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))) (*.f64 n n))
(/.f64 (+.f64 (*.f64 (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))) (neg.f64 n)) (*.f64 (neg.f64 n) -1)) (*.f64 1 (*.f64 (neg.f64 n) (neg.f64 n))))
(/.f64 (fma.f64 (*.f64 i (neg.f64 (+.f64 -1/2 (/.f64 1/2 n)))) (neg.f64 n) (neg.f64 (neg.f64 n))) (*.f64 n n))
(/.f64 (*.f64 (neg.f64 n) (+.f64 -1 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))) (*.f64 n n))
(pow.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) 1)
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))) 2)
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))) 3)
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(pow.f64 (pow.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) 3) 1/3)
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))))))
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) 3))
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(exp.f64 (log.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))) 1))
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))))
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(fma.f64 1 (pow.f64 n -1) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(fma.f64 1 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)) (pow.f64 n -1))
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) (pow.f64 n -1) (pow.f64 n -1))
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(fma.f64 (pow.f64 n -1/2) (pow.f64 n -1/2) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(fma.f64 (sqrt.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) (sqrt.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) (pow.f64 n -1))
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(fma.f64 (cbrt.f64 (pow.f64 n -2)) (/.f64 1 (cbrt.f64 n)) (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n)))
(fma.f64 (cbrt.f64 (pow.f64 n -2)) (/.f64 1 (cbrt.f64 n)) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) 2) (cbrt.f64 (*.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) (pow.f64 n -1))
(+.f64 (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 n (/.f64 n i))
0.1b
(*.f64 200 (*.f64 n (/.f64 n i)))
Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
n
@0
(*.f64 200 (*.f64 n (/.f64 n i)))
0.0ms
i
@0
(*.f64 200 (*.f64 n (/.f64 n i)))
0.0ms
n
@inf
(*.f64 200 (*.f64 n (/.f64 n i)))
0.0ms
i
@inf
(*.f64 200 (*.f64 n (/.f64 n i)))
0.0ms
n
@inf
(*.f64 n (/.f64 n i))

rewrite102.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1734×add-sqr-sqrt
1714×*-un-lft-identity
1600×add-cube-cbrt
1578×add-cbrt-cube
166×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
116832
2214032
Stop Event
node limit
Counts
2 → 41
Calls
Call 1
Inputs
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 n (/.f64 n i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 200 (*.f64 n n)) i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 200 n) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 200 n) n) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 200 n) 1) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 200 (*.f64 n n)) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 200 n) (neg.f64 n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n n) 200) i)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 200 (*.f64 n n)) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 200) (/.f64 n (sqrt.f64 i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 200 (*.f64 n n)) i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 40000 (pow.f64 (*.f64 n (/.f64 n i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 200) (*.f64 n (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 200 (*.f64 n n)) i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 200 (*.f64 n n)) i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 n i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n n) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (neg.f64 n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) n) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n n) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n n) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n n) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (/.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (sqrt.f64 i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (/.f64 n i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (/.f64 n i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (/.f64 n i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 n i)) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 n (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (/.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 n i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (/.f64 n i))))))))

simplify120.0ms (0.6%)

Algorithm
egg-herbie
Rules
1096×associate-*r/
708×associate--r+
664×associate-*l/
656×unswap-sqr
648×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01021425
12371425
210561419
358661419
Stop Event
node limit
Counts
89 → 49
Calls
Call 1
Inputs
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(/.f64 (pow.f64 n 2) i)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 200 (*.f64 n n)) i))) 1)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 200 n) 1) (/.f64 i n))
(/.f64 (*.f64 200 (*.f64 n n)) i)
(/.f64 (*.f64 (*.f64 200 n) (neg.f64 n)) (neg.f64 i))
(/.f64 (*.f64 (*.f64 n n) 200) i)
(pow.f64 (/.f64 (*.f64 200 (*.f64 n n)) i) 1)
(pow.f64 (*.f64 (sqrt.f64 200) (/.f64 n (sqrt.f64 i))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 200 (*.f64 n n)) i) 3) 1/3)
(sqrt.f64 (*.f64 40000 (pow.f64 (*.f64 n (/.f64 n i)) 2)))
(log.f64 (pow.f64 (exp.f64 200) (*.f64 n (/.f64 n i))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 200 (*.f64 n n)) i))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 200 (*.f64 n n)) i) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)))
(exp.f64 (log.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 n i)))) 1)
(/.f64 n (/.f64 i n))
(/.f64 1 (/.f64 i (*.f64 n n)))
(/.f64 (*.f64 n n) i)
(/.f64 (*.f64 n (neg.f64 n)) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 n) n) (neg.f64 i))
(/.f64 (/.f64 (*.f64 n n) 1) i)
(/.f64 (/.f64 (*.f64 n n) (sqrt.f64 i)) (sqrt.f64 i))
(/.f64 (/.f64 (*.f64 n n) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))
(/.f64 (neg.f64 (*.f64 n n)) (neg.f64 i))
(pow.f64 (*.f64 n (/.f64 n i)) 1)
(pow.f64 (/.f64 n (sqrt.f64 i)) 2)
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 n i))) 3)
(pow.f64 (pow.f64 (*.f64 n (/.f64 n i)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 n (/.f64 n i)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 n i)) n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (/.f64 n i)))))
(cbrt.f64 (pow.f64 (*.f64 n (/.f64 n i)) 3))
(expm1.f64 (log1p.f64 (*.f64 n (/.f64 n i))))
(exp.f64 (log.f64 (*.f64 n (/.f64 n i))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 n i))) 1))
(log1p.f64 (expm1.f64 (*.f64 n (/.f64 n i))))
Outputs
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(/.f64 (pow.f64 n 2) i)
(*.f64 n (/.f64 n i))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 200 (*.f64 n n)) i))) 1)
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(/.f64 (*.f64 (*.f64 200 n) 1) (/.f64 i n))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(/.f64 (*.f64 200 (*.f64 n n)) i)
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(/.f64 (*.f64 (*.f64 200 n) (neg.f64 n)) (neg.f64 i))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(/.f64 (*.f64 (*.f64 n n) 200) i)
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(pow.f64 (/.f64 (*.f64 200 (*.f64 n n)) i) 1)
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(pow.f64 (*.f64 (sqrt.f64 200) (/.f64 n (sqrt.f64 i))) 2)
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)) 3)
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(pow.f64 (pow.f64 (/.f64 (*.f64 200 (*.f64 n n)) i) 3) 1/3)
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(sqrt.f64 (*.f64 40000 (pow.f64 (*.f64 n (/.f64 n i)) 2)))
(sqrt.f64 (pow.f64 (*.f64 n (/.f64 n (/.f64 i 200))) 2))
(fabs.f64 (*.f64 n (*.f64 n (/.f64 200 i))))
(log.f64 (pow.f64 (exp.f64 200) (*.f64 n (/.f64 n i))))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 200 (*.f64 n n)) i))))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 200 (*.f64 n n)) i) 3))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(exp.f64 (log.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)) 1))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 200 (*.f64 n n)) i)))
(/.f64 200 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n (/.f64 i 200)))
(*.f64 n (*.f64 n (/.f64 200 i)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 n i)))) 1)
(*.f64 n (/.f64 n i))
(/.f64 n (/.f64 i n))
(*.f64 n (/.f64 n i))
(/.f64 1 (/.f64 i (*.f64 n n)))
(*.f64 n (/.f64 n i))
(/.f64 (*.f64 n n) i)
(*.f64 n (/.f64 n i))
(/.f64 (*.f64 n (neg.f64 n)) (neg.f64 i))
(*.f64 n (/.f64 n i))
(/.f64 (*.f64 (neg.f64 n) n) (neg.f64 i))
(*.f64 n (/.f64 n i))
(/.f64 (/.f64 (*.f64 n n) 1) i)
(*.f64 n (/.f64 n i))
(/.f64 (/.f64 (*.f64 n n) (sqrt.f64 i)) (sqrt.f64 i))
(*.f64 n (/.f64 n i))
(/.f64 (/.f64 (*.f64 n n) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))
(*.f64 n (/.f64 n i))
(/.f64 (neg.f64 (*.f64 n n)) (neg.f64 i))
(*.f64 n (/.f64 n i))
(pow.f64 (*.f64 n (/.f64 n i)) 1)
(*.f64 n (/.f64 n i))
(pow.f64 (/.f64 n (sqrt.f64 i)) 2)
(*.f64 n (/.f64 n i))
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 n i))) 3)
(*.f64 n (/.f64 n i))
(pow.f64 (pow.f64 (*.f64 n (/.f64 n i)) 3) 1/3)
(*.f64 n (/.f64 n i))
(sqrt.f64 (pow.f64 (*.f64 n (/.f64 n i)) 2))
(*.f64 n (/.f64 n i))
(log.f64 (pow.f64 (exp.f64 (/.f64 n i)) n))
(*.f64 n (/.f64 n i))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (/.f64 n i)))))
(*.f64 n (/.f64 n i))
(cbrt.f64 (pow.f64 (*.f64 n (/.f64 n i)) 3))
(*.f64 n (/.f64 n i))
(expm1.f64 (log1p.f64 (*.f64 n (/.f64 n i))))
(*.f64 n (/.f64 n i))
(exp.f64 (log.f64 (*.f64 n (/.f64 n i))))
(*.f64 n (/.f64 n i))
(exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 n i))) 1))
(*.f64 n (/.f64 n i))
(log1p.f64 (expm1.f64 (*.f64 n (/.f64 n i))))
(*.f64 n (/.f64 n i))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 100 (*.f64 n i))
14.3b
(/.f64 (*.f64 100 (*.f64 n i)) i)
Compiler

Compiled 20 to 9 computations (55% saved)

series20.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
18.0ms
i
@-inf
(/.f64 (*.f64 100 (*.f64 n i)) i)
0.0ms
n
@inf
(*.f64 100 (*.f64 n i))
0.0ms
n
@0
(*.f64 100 (*.f64 n i))
0.0ms
i
@inf
(*.f64 100 (*.f64 n i))
0.0ms
i
@0
(*.f64 100 (*.f64 n i))

rewrite61.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1864×add-sqr-sqrt
1844×*-un-lft-identity
1736×add-cube-cbrt
1712×add-cbrt-cube
166×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
117032
2226732
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(/.f64 (*.f64 100 (*.f64 n i)) i)
(*.f64 100 (*.f64 n i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 100 n) (/.f64 i i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 (*.f64 n i) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 (*.f64 n i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 1 (/.f64 i (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (*.f64 n i)) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 100 n) (/.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) (sqrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) (*.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 2) (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) (*.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (*.f64 100 (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 n i) -100) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (*.f64 100 (*.f64 n i)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 100 (*.f64 n i)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n i) (sqrt.f64 i)) (/.f64 100 (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 i) (*.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (sqrt.f64 i)) (/.f64 (*.f64 n i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 n i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n i) 1) (/.f64 100 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n i) (pow.f64 (cbrt.f64 i) 2)) (/.f64 100 (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) 1) (/.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) 1) (/.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 n) 1) (/.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 n) (sqrt.f64 i)) (/.f64 i (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 n) (pow.f64 (cbrt.f64 i) 2)) (/.f64 i (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/100 (/.f64 i (*.f64 n i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 100 (*.f64 n i)) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 100 n) (/.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 100 (*.f64 n i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (*.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (*.f64 n i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 n i) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 i) n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (*.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (*.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 100 (*.f64 n i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (*.f64 n i))))))))

simplify59.0ms (0.3%)

Algorithm
egg-herbie
Rules
1592×associate-/r*
910×*-commutative
864×associate-/r/
848×unswap-sqr
448×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01481067
14111007
222461001
Stop Event
node limit
Counts
83 → 70
Calls
Call 1
Inputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 100 n) (/.f64 i i)))) 1)
(*.f64 100 (*.f64 (*.f64 n i) (/.f64 1 i)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 100 (/.f64 1 (/.f64 i (*.f64 n i))))
(*.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))
(*.f64 (*.f64 100 (*.f64 n i)) (/.f64 1 i))
(*.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 1)
(*.f64 1 (/.f64 (*.f64 100 n) (/.f64 i i)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) (sqrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(*.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) (*.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) (/.f64 1 i)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 2) (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) (*.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) (/.f64 1 i)))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(*.f64 (/.f64 1 i) (*.f64 100 (*.f64 n i)))
(*.f64 (*.f64 (*.f64 n i) -100) (/.f64 1 (neg.f64 i)))
(*.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (*.f64 100 (*.f64 n i)) (sqrt.f64 i)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 100 (*.f64 n i)) (cbrt.f64 i)))
(*.f64 (/.f64 (*.f64 n i) (sqrt.f64 i)) (/.f64 100 (sqrt.f64 i)))
(*.f64 (/.f64 100 i) (*.f64 n i))
(*.f64 (/.f64 100 (sqrt.f64 i)) (/.f64 (*.f64 n i) (sqrt.f64 i)))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 n i) (cbrt.f64 i)))
(*.f64 (/.f64 (*.f64 n i) 1) (/.f64 100 i))
(*.f64 (/.f64 (*.f64 n i) (pow.f64 (cbrt.f64 i) 2)) (/.f64 100 (cbrt.f64 i)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) 1) (/.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) i))
(*.f64 (/.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) (cbrt.f64 i)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) 1) (/.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) i))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) (sqrt.f64 i)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(*.f64 (/.f64 (*.f64 100 n) 1) (/.f64 i i))
(*.f64 (/.f64 (*.f64 100 n) (sqrt.f64 i)) (/.f64 i (sqrt.f64 i)))
(*.f64 (/.f64 (*.f64 100 n) (pow.f64 (cbrt.f64 i) 2)) (/.f64 i (cbrt.f64 i)))
(pow.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 3) 1/3)
(pow.f64 (*.f64 1/100 (/.f64 i (*.f64 n i))) -1)
(neg.f64 (/.f64 (*.f64 100 (*.f64 n i)) (neg.f64 i)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 100 n) (/.f64 i i)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(exp.f64 (log.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 100 (*.f64 n i)))) 1)
(pow.f64 (*.f64 100 (*.f64 n i)) 1)
(pow.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) 2)
(pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 3)
(pow.f64 (pow.f64 (*.f64 100 (*.f64 n i)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 n i) 2) 10000))
(log.f64 (pow.f64 (pow.f64 (exp.f64 i) n) 100))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (*.f64 n i)))))
(cbrt.f64 (pow.f64 (*.f64 100 (*.f64 n i)) 3))
(expm1.f64 (log1p.f64 (*.f64 100 (*.f64 n i))))
(exp.f64 (log.f64 (*.f64 100 (*.f64 n i))))
(exp.f64 (*.f64 (log.f64 (*.f64 100 (*.f64 n i))) 1))
(log1p.f64 (expm1.f64 (*.f64 100 (*.f64 n i))))
Outputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 100 n) (/.f64 i i)))) 1)
(*.f64 100 n)
(*.f64 100 (*.f64 (*.f64 n i) (/.f64 1 i)))
(*.f64 100 n)
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 100 n)
(*.f64 100 (/.f64 1 (/.f64 i (*.f64 n i))))
(*.f64 100 n)
(*.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))
(*.f64 100 n)
(*.f64 (*.f64 100 (*.f64 n i)) (/.f64 1 i))
(*.f64 100 n)
(*.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 1)
(*.f64 100 n)
(*.f64 1 (/.f64 (*.f64 100 n) (/.f64 i i)))
(*.f64 100 n)
(*.f64 (sqrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) (sqrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(*.f64 100 n)
(*.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) (*.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) (/.f64 1 i)))
(*.f64 100 n)
(*.f64 (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 2))
(*.f64 100 n)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 2) (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(*.f64 100 n)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) (*.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) (/.f64 1 i)))
(*.f64 100 n)
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(*.f64 100 n)
(*.f64 (/.f64 1 i) (*.f64 100 (*.f64 n i)))
(*.f64 100 n)
(*.f64 (*.f64 (*.f64 n i) -100) (/.f64 1 (neg.f64 i)))
(*.f64 100 n)
(*.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (*.f64 100 (*.f64 n i)) (sqrt.f64 i)))
(/.f64 (*.f64 i (/.f64 n (/.f64 (sqrt.f64 i) 100))) (sqrt.f64 i))
(*.f64 (*.f64 n (/.f64 i (sqrt.f64 i))) (/.f64 100 (sqrt.f64 i)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 100 (*.f64 n i)) (cbrt.f64 i)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 100 (/.f64 (cbrt.f64 i) (*.f64 n i))))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (*.f64 (/.f64 n (cbrt.f64 i)) i))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (*.f64 n (/.f64 i (cbrt.f64 i))))
(*.f64 (/.f64 (*.f64 n i) (sqrt.f64 i)) (/.f64 100 (sqrt.f64 i)))
(*.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (*.f64 100 (*.f64 n i)) (sqrt.f64 i)))
(/.f64 (*.f64 i (/.f64 n (/.f64 (sqrt.f64 i) 100))) (sqrt.f64 i))
(*.f64 (*.f64 n (/.f64 i (sqrt.f64 i))) (/.f64 100 (sqrt.f64 i)))
(*.f64 (/.f64 100 i) (*.f64 n i))
(*.f64 100 n)
(*.f64 (/.f64 100 (sqrt.f64 i)) (/.f64 (*.f64 n i) (sqrt.f64 i)))
(*.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (*.f64 100 (*.f64 n i)) (sqrt.f64 i)))
(/.f64 (*.f64 i (/.f64 n (/.f64 (sqrt.f64 i) 100))) (sqrt.f64 i))
(*.f64 (*.f64 n (/.f64 i (sqrt.f64 i))) (/.f64 100 (sqrt.f64 i)))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 n i) (cbrt.f64 i)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 100 (/.f64 (cbrt.f64 i) (*.f64 n i))))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (*.f64 (/.f64 n (cbrt.f64 i)) i))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (*.f64 n (/.f64 i (cbrt.f64 i))))
(*.f64 (/.f64 (*.f64 n i) 1) (/.f64 100 i))
(*.f64 100 n)
(*.f64 (/.f64 (*.f64 n i) (pow.f64 (cbrt.f64 i) 2)) (/.f64 100 (cbrt.f64 i)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 100 (/.f64 (cbrt.f64 i) (*.f64 n i))))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (*.f64 (/.f64 n (cbrt.f64 i)) i))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (*.f64 n (/.f64 i (cbrt.f64 i))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) 1) (/.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) i))
(*.f64 100 n)
(*.f64 (/.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) (cbrt.f64 i)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 100 (/.f64 (cbrt.f64 i) (*.f64 n i))))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (*.f64 (/.f64 n (cbrt.f64 i)) i))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (*.f64 n (/.f64 i (cbrt.f64 i))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) 1) (/.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) i))
(*.f64 100 n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) (sqrt.f64 i)))
(*.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (*.f64 100 (*.f64 n i)) (sqrt.f64 i)))
(/.f64 (*.f64 i (/.f64 n (/.f64 (sqrt.f64 i) 100))) (sqrt.f64 i))
(*.f64 (*.f64 n (/.f64 i (sqrt.f64 i))) (/.f64 100 (sqrt.f64 i)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(*.f64 (cbrt.f64 (*.f64 100 n)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) (pow.f64 (cbrt.f64 i) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 2) (/.f64 (pow.f64 (cbrt.f64 i) 2) (cbrt.f64 (*.f64 100 n))))
(*.f64 (/.f64 (*.f64 100 n) 1) (/.f64 i i))
(*.f64 100 n)
(*.f64 (/.f64 (*.f64 100 n) (sqrt.f64 i)) (/.f64 i (sqrt.f64 i)))
(*.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (*.f64 100 (*.f64 n i)) (sqrt.f64 i)))
(/.f64 (*.f64 i (/.f64 n (/.f64 (sqrt.f64 i) 100))) (sqrt.f64 i))
(*.f64 (*.f64 n (/.f64 i (sqrt.f64 i))) (/.f64 100 (sqrt.f64 i)))
(*.f64 (/.f64 (*.f64 100 n) (pow.f64 (cbrt.f64 i) 2)) (/.f64 i (cbrt.f64 i)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 100 (/.f64 (cbrt.f64 i) (*.f64 n i))))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (*.f64 (/.f64 n (cbrt.f64 i)) i))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (*.f64 n (/.f64 i (cbrt.f64 i))))
(pow.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 1)
(*.f64 100 n)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 2)
(*.f64 100 n)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 3)
(*.f64 100 n)
(pow.f64 (pow.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 3) 1/3)
(*.f64 100 n)
(pow.f64 (*.f64 1/100 (/.f64 i (*.f64 n i))) -1)
(*.f64 100 n)
(neg.f64 (/.f64 (*.f64 100 (*.f64 n i)) (neg.f64 i)))
(*.f64 100 n)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 2))
(*.f64 100 n)
(log.f64 (exp.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(*.f64 100 n)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 100 n) (/.f64 i i)))))
(*.f64 100 n)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 100 n) (/.f64 i i)) 3))
(*.f64 100 n)
(expm1.f64 (log1p.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(*.f64 100 n)
(exp.f64 (log.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(*.f64 100 n)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 100 n) (/.f64 i i))) 1))
(*.f64 100 n)
(log1p.f64 (expm1.f64 (/.f64 (*.f64 100 n) (/.f64 i i))))
(*.f64 100 n)
(-.f64 (exp.f64 (log1p.f64 (*.f64 100 (*.f64 n i)))) 1)
(*.f64 100 (*.f64 n i))
(pow.f64 (*.f64 100 (*.f64 n i)) 1)
(*.f64 100 (*.f64 n i))
(pow.f64 (sqrt.f64 (*.f64 100 (*.f64 n i))) 2)
(*.f64 100 (*.f64 n i))
(pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 3)
(*.f64 100 (*.f64 n i))
(pow.f64 (pow.f64 (*.f64 100 (*.f64 n i)) 3) 1/3)
(*.f64 100 (*.f64 n i))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 n i) 2) 10000))
(sqrt.f64 (pow.f64 (*.f64 100 (*.f64 n i)) 2))
(fabs.f64 (*.f64 100 (*.f64 n i)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 i) n) 100))
(*.f64 100 (*.f64 n i))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (*.f64 n i)))))
(*.f64 100 (*.f64 n i))
(cbrt.f64 (pow.f64 (*.f64 100 (*.f64 n i)) 3))
(*.f64 100 (*.f64 n i))
(expm1.f64 (log1p.f64 (*.f64 100 (*.f64 n i))))
(*.f64 100 (*.f64 n i))
(exp.f64 (log.f64 (*.f64 100 (*.f64 n i))))
(*.f64 100 (*.f64 n i))
(exp.f64 (*.f64 (log.f64 (*.f64 100 (*.f64 n i))) 1))
(*.f64 100 (*.f64 n i))
(log1p.f64 (expm1.f64 (*.f64 100 (*.f64 n i))))
(*.f64 100 (*.f64 n i))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))
0.3b
(/.f64 1/2 (*.f64 n n))
0.4b
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
4.7b
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
Compiler

Compiled 50 to 28 computations (44% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
i
@inf
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
1.0ms
i
@0
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
0.0ms
i
@-inf
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
0.0ms
n
@0
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
0.0ms
n
@inf
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))

rewrite88.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1206×associate-/l*
1108×associate-/r/
762×distribute-lft-in
726×associate-/l/
284×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01237
127931
2395831
Stop Event
node limit
Counts
1 → 63
Calls
Call 1
Inputs
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
Outputs
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(pow.f64 n -2) (/.f64 1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 100 (*.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) i)) (sqrt.f64 (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 1/8 (pow.f64 n 3))))) (sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 100 (*.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) i)) (sqrt.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))))) (sqrt.f64 (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 100 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) 2) i)) (cbrt.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))))) (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 100 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) 2) i)) (cbrt.f64 (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 1/8 (pow.f64 n 3))))) (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 100 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) 2) i)) (cbrt.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))))) n)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) (*.f64 (/.f64 100 i) n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))))))

simplify84.0ms (0.4%)

Algorithm
egg-herbie
Rules
1956×associate-/l*
686×distribute-lft-in
670×distribute-rgt-in
636×associate-*r*
524×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02954679
19444197
237064187
Stop Event
node limit
Counts
87 → 156
Calls
Call 1
Inputs
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(*.f64 200 (/.f64 (pow.f64 n 2) i))
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (*.f64 200 (/.f64 (pow.f64 n 3) i)))
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 200 (/.f64 (pow.f64 n 3) i)) (*.f64 200 (/.f64 (pow.f64 n 4) i))))
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 200 (/.f64 (pow.f64 n 3) i)) (+.f64 (*.f64 200 (/.f64 (pow.f64 n 4) i)) (*.f64 200 (/.f64 (pow.f64 n 5) i)))))
(*.f64 -200 (/.f64 n i))
(-.f64 (*.f64 -200 (/.f64 n i)) (*.f64 200 (/.f64 1 i)))
(-.f64 (*.f64 -200 (/.f64 n i)) (+.f64 (*.f64 200 (/.f64 1 i)) (*.f64 200 (/.f64 1 (*.f64 n i)))))
(-.f64 (*.f64 -200 (/.f64 n i)) (+.f64 (*.f64 200 (/.f64 1 i)) (+.f64 (*.f64 200 (/.f64 1 (*.f64 (pow.f64 n 2) i))) (*.f64 200 (/.f64 1 (*.f64 n i))))))
(*.f64 -200 (/.f64 n i))
(-.f64 (*.f64 -200 (/.f64 n i)) (*.f64 200 (/.f64 1 i)))
(-.f64 (*.f64 -200 (/.f64 n i)) (+.f64 (*.f64 200 (/.f64 1 i)) (*.f64 200 (/.f64 1 (*.f64 n i)))))
(-.f64 (*.f64 -200 (/.f64 n i)) (+.f64 (*.f64 200 (/.f64 1 i)) (+.f64 (*.f64 200 (/.f64 1 (*.f64 (pow.f64 n 2) i))) (*.f64 200 (/.f64 1 (*.f64 n i))))))
(+.f64 (*.f64 (/.f64 100 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) i)) (*.f64 1/2 (pow.f64 n -2))) (*.f64 (/.f64 100 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) i)) (/.f64 1/2 n)))
(+.f64 (*.f64 (/.f64 100 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) i)) (/.f64 1/2 n)) (*.f64 (/.f64 100 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) i)) (*.f64 1/2 (pow.f64 n -2))))
(+.f64 (*.f64 (/.f64 100 (*.f64 (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 1/8 (pow.f64 n 3))) i)) (/.f64 1/4 (pow.f64 n 4))) (*.f64 (/.f64 100 (*.f64 (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 1/8 (pow.f64 n 3))) i)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3)))))
(+.f64 (*.f64 (/.f64 100 (*.f64 (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 1/8 (pow.f64 n 3))) i)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3)))) (*.f64 (/.f64 100 (*.f64 (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 1/8 (pow.f64 n 3))) i)) (/.f64 1/4 (pow.f64 n 4))))
(+.f64 (*.f64 (/.f64 100 (*.f64 (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 1/8 (pow.f64 n 3))) i)) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n)))) (*.f64 (/.f64 100 (*.f64 (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 1/8 (pow.f64 n 3))) i)) (/.f64 1/4 (pow.f64 n 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n))) 1)
(*.f64 100 (*.f64 (/.f64 (/.f64 1 i) (-.f64 (/.f64 1/2 n) 1/2)) n))
(*.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 1)
(*.f64 1 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)) (sqrt.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)) 2) (cbrt.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))
(*.f64 (/.f64 100 i) (*.f64 (/.f64 1 (-.f64 (/.f64 1/2 n) 1/2)) n))
(*.f64 (*.f64 (/.f64 (/.f64 1 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 100)
(*.f64 -100 (/.f64 1 (*.f64 i (neg.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))
(*.f64 (/.f64 1 i) (*.f64 (/.f64 100 (-.f64 (/.f64 1/2 n) 1/2)) n))
(*.f64 (*.f64 (/.f64 1 (-.f64 (/.f64 1/2 n) 1/2)) n) (/.f64 100 i))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))) (/.f64 100 (sqrt.f64 (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))) 2)) (/.f64 100 (cbrt.f64 (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))
(*.f64 (/.f64 100 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) i)) (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)))
(*.f64 (/.f64 100 (*.f64 (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 1/8 (pow.f64 n 3))) i)) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3)))))
(*.f64 (/.f64 100 (*.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))) i)) (pow.f64 n 3))
(*.f64 (/.f64 1 (*.f64 i (neg.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))) -100)
(*.f64 (/.f64 100 (*.f64 i (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))))) (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)))
(*.f64 (/.f64 100 (*.f64 i (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 1/8 (pow.f64 n 3))))) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3)))))
(*.f64 (/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))))) (pow.f64 n 3))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))) (*.f64 n n))) n)
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (*.f64 (/.f64 -1/2 n) (/.f64 -1/2 n)))) (-.f64 (*.f64 1/2 (pow.f64 n -2)) (/.f64 -1/2 n)))
(*.f64 (/.f64 (/.f64 100 i) (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (pow.f64 (/.f64 -1/2 n) 3))) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (*.f64 (/.f64 -1/2 n) (/.f64 -1/2 n)) (*.f64 (*.f64 1/2 (pow.f64 n -2)) (/.f64 -1/2 n)))))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n))) (*.f64 (*.f64 n n) (*.f64 n 2)))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 1/2 (neg.f64 n)) (*.f64 (*.f64 n n) -1/2))) (*.f64 (*.f64 n n) (neg.f64 n)))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 (/.f64 1/2 n) n) (*.f64 1/2 n))) (*.f64 n n))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n 2)) n)) (*.f64 n (*.f64 n 2)))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 (/.f64 1/2 n) (neg.f64 n)) (*.f64 n -1/2))) (*.f64 n (neg.f64 n)))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 n (*.f64 (*.f64 (*.f64 n n) 2) 1/2))) (*.f64 (*.f64 (*.f64 n n) 2) n))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 n 2) (*.f64 (*.f64 (*.f64 n n) 2) 1))) (*.f64 (*.f64 (*.f64 n n) 2) (*.f64 n 2)))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (neg.f64 n) (*.f64 (*.f64 (*.f64 n n) 2) -1/2))) (*.f64 (*.f64 (*.f64 n n) 2) (neg.f64 n)))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 -1/2 n) (*.f64 (*.f64 n (neg.f64 n)) 1/2))) (*.f64 (*.f64 n (neg.f64 n)) n))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 -1/2 (*.f64 n 2)) (*.f64 (*.f64 n (neg.f64 n)) 1))) (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n 2)))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 -1/2 (neg.f64 n)) (*.f64 (*.f64 n (neg.f64 n)) -1/2))) (*.f64 (*.f64 n (neg.f64 n)) (neg.f64 n)))
(*.f64 (/.f64 (/.f64 100 i) (neg.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))))) (neg.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n))))
(*.f64 (/.f64 (/.f64 100 i) (neg.f64 (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 1/8 (pow.f64 n 3))))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3))))))
(*.f64 (/.f64 (/.f64 100 i) (neg.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))))) (neg.f64 (pow.f64 n 3)))
(*.f64 (/.f64 (/.f64 100 (*.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) i)) (sqrt.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))))) (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n))))
(*.f64 (/.f64 (/.f64 100 (*.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) i)) (sqrt.f64 (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 1/8 (pow.f64 n 3))))) (sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3))))))
(*.f64 (/.f64 (/.f64 100 (*.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) i)) (sqrt.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))))) (sqrt.f64 (pow.f64 n 3)))
(*.f64 (/.f64 (/.f64 100 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) 2) i)) (cbrt.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))))) (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n))))
(*.f64 (/.f64 (/.f64 100 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) 2) i)) (cbrt.f64 (-.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 1/8 (pow.f64 n 3))))) (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3))))))
(*.f64 (/.f64 (/.f64 100 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) 2) i)) (cbrt.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))))) n)
(pow.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) (*.f64 (/.f64 100 i) n)) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))
(exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))
Outputs
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
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(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)) 3)
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 3) 1/3)
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) (*.f64 (/.f64 100 i) n)) -1)
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 n (/.f64 100 i)) (+.f64 (/.f64 1/2 n) -1/2)) 2))
(fabs.f64 (*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2))))
(log.f64 (exp.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n))))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 3))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)) 1))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))

localize61.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1/3 n)
1.7b
(*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n))))
2.1b
(*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))
4.9b
(*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n))))
Compiler

Compiled 169 to 120 computations (29% saved)

series8.0ms (0%)

Counts
4 → 72
Calls

21 calls:

TimeVariablePointExpression
1.0ms
i
@inf
(*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))
1.0ms
i
@-inf
(*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))
0.0ms
n
@-inf
(*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))
0.0ms
n
@0
(*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))
0.0ms
i
@0
(*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))

rewrite113.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
594×associate-+l+
506×+-commutative
468×associate-+r+
452×add-sqr-sqrt
432×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018164
1437164
26528164
Stop Event
node limit
Counts
4 → 131
Calls
Call 1
Inputs
(*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))
(*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n))))
(/.f64 1/3 n)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) (*.f64 n (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2))) (*.f64 n (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 i n) (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) (*.f64 (*.f64 i n) (+.f64 (/.f64 -1/2 n) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 i n) (+.f64 (/.f64 -1/2 n) 1/2)) (*.f64 (*.f64 i n) (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 i n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) (*.f64 (*.f64 i n) (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 i n) (/.f64 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simplify121.0ms (0.6%)

Algorithm
egg-herbie
Rules
1664×associate-+l+
1522×associate-+r+
730×+-commutative
692×associate-*r*
658×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037611045
1105310317
2470210317
Stop Event
node limit
Counts
203 → 243
Calls
Call 1
Inputs
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
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(+.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2) (*.f64 i n)) (*.f64 (/.f64 -1/2 n) (*.f64 i n)))
(+.f64 (*.f64 (/.f64 -1/2 n) (*.f64 i n)) (*.f64 (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2) (*.f64 i n)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 i (*.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) n)))) 1)
(/.f64 (*.f64 (*.f64 i n) (-.f64 (pow.f64 (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) 2) (pow.f64 (+.f64 (/.f64 -1/2 n) 1/2) 2))) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (neg.f64 (+.f64 (/.f64 -1/2 n) 1/2))))
(/.f64 (*.f64 (*.f64 i n) (+.f64 (pow.f64 (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) 3) (pow.f64 (+.f64 (/.f64 -1/2 n) 1/2) 3))) (+.f64 (pow.f64 (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) 2) (*.f64 (+.f64 (/.f64 -1/2 n) 1/2) (-.f64 (+.f64 (/.f64 -1/2 n) 1/2) (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))))
(pow.f64 (*.f64 i (*.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) n)) 1)
(pow.f64 (sqrt.f64 (*.f64 i (*.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) n))) 2)
(pow.f64 (cbrt.f64 (*.f64 i (*.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) n))) 3)
(pow.f64 (pow.f64 (*.f64 i (*.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) n)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 i (*.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) n)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 i) (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2))) n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 i (*.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) n)))))
(cbrt.f64 (pow.f64 (*.f64 i (*.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) n)) 3))
(cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2))) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (*.f64 i (*.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) n))))
(exp.f64 (log.f64 (*.f64 i (*.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) n))))
(exp.f64 (*.f64 (log.f64 (*.f64 i (*.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) n))) 1))
(log1p.f64 (expm1.f64 (*.f64 i (*.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) n))))
(+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)))
(+.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(+.f64 (*.f64 i (/.f64 -1/2 n)) (*.f64 i (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)))
(+.f64 (*.f64 i (/.f64 -1/2 n)) (+.f64 (*.f64 i 1/2) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))
(+.f64 (*.f64 i (*.f64 i (/.f64 1/3 (*.f64 n n)))) (+.f64 (*.f64 i (*.f64 i (+.f64 1/6 (/.f64 -1/2 n)))) (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2))))
(+.f64 (*.f64 i (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) (*.f64 i (/.f64 -1/2 n)))
(+.f64 (*.f64 i 1/2) (+.f64 (*.f64 i (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))
(+.f64 (*.f64 (/.f64 -1/2 n) i) (*.f64 (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2) i))
(+.f64 (*.f64 (/.f64 -1/2 n) i) (+.f64 (*.f64 1/2 i) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))
(+.f64 (*.f64 (*.f64 i (/.f64 1/3 (*.f64 n n))) i) (+.f64 (*.f64 (*.f64 i (+.f64 1/6 (/.f64 -1/2 n))) i) (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2))))
(+.f64 (*.f64 (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2) i) (*.f64 (/.f64 -1/2 n) i))
(+.f64 (*.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) 1) (*.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)) 1))
(+.f64 (*.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)) 1) (*.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) 1))
(+.f64 (*.f64 1/2 i) (+.f64 (*.f64 (/.f64 -1/2 n) i) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))
(+.f64 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) (*.f64 i (/.f64 -1/2 n))) (*.f64 i 1/2))
(+.f64 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) (*.f64 i 1/2)) (*.f64 i (/.f64 -1/2 n)))
(+.f64 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) (*.f64 (/.f64 -1/2 n) i)) (*.f64 1/2 i))
(+.f64 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) (*.f64 1/2 i)) (*.f64 (/.f64 -1/2 n) i))
(+.f64 (+.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)) (*.f64 i (*.f64 i (/.f64 1/3 (*.f64 n n))))) (*.f64 i (*.f64 i (+.f64 1/6 (/.f64 -1/2 n)))))
(+.f64 (+.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)) (*.f64 (*.f64 i (/.f64 1/3 (*.f64 n n))) i)) (*.f64 (*.f64 i (+.f64 1/6 (/.f64 -1/2 n))) i))
(-.f64 (exp.f64 (log1p.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2))))) 1)
(/.f64 (*.f64 i (-.f64 (pow.f64 (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) 2) (pow.f64 (+.f64 (/.f64 -1/2 n) 1/2) 2))) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (neg.f64 (+.f64 (/.f64 -1/2 n) 1/2))))
(/.f64 (*.f64 i (+.f64 (pow.f64 (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) 3) (pow.f64 (+.f64 (/.f64 -1/2 n) 1/2) 3))) (+.f64 (pow.f64 (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) 2) (*.f64 (+.f64 (/.f64 -1/2 n) 1/2) (-.f64 (+.f64 (/.f64 -1/2 n) 1/2) (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) 2) (pow.f64 (+.f64 (/.f64 -1/2 n) 1/2) 2)) i) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (neg.f64 (+.f64 (/.f64 -1/2 n) 1/2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) 3) (pow.f64 (+.f64 (/.f64 -1/2 n) 1/2) 3)) i) (+.f64 (pow.f64 (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) 2) (*.f64 (+.f64 (/.f64 -1/2 n) 1/2) (-.f64 (+.f64 (/.f64 -1/2 n) 1/2) (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))))
(/.f64 (-.f64 (*.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) (*.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)) (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)))) (-.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) 3) (pow.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) (*.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)) (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)))) (*.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)))))
(pow.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 i) (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 i 3) (pow.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)) 3) (pow.f64 i 3)))
(expm1.f64 (log1p.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)))))
(exp.f64 (log.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)))))
(fma.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)))
(fma.f64 (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) i (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 n))) 1)
(*.f64 1/3 (/.f64 1 n))
(*.f64 (/.f64 1/3 n) 1)
(*.f64 1 (/.f64 1/3 n))
(*.f64 (sqrt.f64 (/.f64 1/3 n)) (sqrt.f64 (/.f64 1/3 n)))
(*.f64 (cbrt.f64 (/.f64 1/3 n)) (pow.f64 (cbrt.f64 (/.f64 1/3 n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 n)) 2) (cbrt.f64 (/.f64 1/3 n)))
(*.f64 (/.f64 1 n) 1/3)
(*.f64 -1/3 (/.f64 1 (neg.f64 n)))
(pow.f64 (/.f64 1/3 n) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 n)) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 n)) 3)
(pow.f64 (pow.f64 (/.f64 1/3 n) 3) 1/3)
(pow.f64 (*.f64 n 3) -1)
(sqrt.f64 (/.f64 1/9 (*.f64 n n)))
(log.f64 (exp.f64 (/.f64 1/3 n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 n))))
(cbrt.f64 (pow.f64 (/.f64 1/3 n) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 n)))
(exp.f64 (log.f64 (/.f64 1/3 n)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 n)) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 n)))
Outputs
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))
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(*.f64 i (+.f64 1/2 (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (/.f64 -1/2 n))))
(expm1.f64 (log1p.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)))))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i)))
(*.f64 i (+.f64 1/2 (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (/.f64 -1/2 n))))
(exp.f64 (log.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)))))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i)))
(*.f64 i (+.f64 1/2 (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (/.f64 -1/2 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)))) 1))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i)))
(*.f64 i (+.f64 1/2 (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (/.f64 -1/2 n))))
(log1p.f64 (expm1.f64 (*.f64 i (+.f64 (/.f64 -1/2 n) (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) 1/2)))))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i)))
(*.f64 i (+.f64 1/2 (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (/.f64 -1/2 n))))
(fma.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i)))
(*.f64 i (+.f64 1/2 (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (/.f64 -1/2 n))))
(fma.f64 (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) i (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2)))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i)))
(*.f64 i (+.f64 1/2 (fma.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (/.f64 -1/2 n))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 n))) 1)
(/.f64 1/3 n)
(*.f64 1/3 (/.f64 1 n))
(/.f64 1/3 n)
(*.f64 (/.f64 1/3 n) 1)
(/.f64 1/3 n)
(*.f64 1 (/.f64 1/3 n))
(/.f64 1/3 n)
(*.f64 (sqrt.f64 (/.f64 1/3 n)) (sqrt.f64 (/.f64 1/3 n)))
(/.f64 1/3 n)
(*.f64 (cbrt.f64 (/.f64 1/3 n)) (pow.f64 (cbrt.f64 (/.f64 1/3 n)) 2))
(/.f64 1/3 n)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 n)) 2) (cbrt.f64 (/.f64 1/3 n)))
(/.f64 1/3 n)
(*.f64 (/.f64 1 n) 1/3)
(/.f64 1/3 n)
(*.f64 -1/3 (/.f64 1 (neg.f64 n)))
(/.f64 1/3 n)
(pow.f64 (/.f64 1/3 n) 1)
(/.f64 1/3 n)
(pow.f64 (sqrt.f64 (/.f64 1/3 n)) 2)
(/.f64 1/3 n)
(pow.f64 (cbrt.f64 (/.f64 1/3 n)) 3)
(/.f64 1/3 n)
(pow.f64 (pow.f64 (/.f64 1/3 n) 3) 1/3)
(/.f64 1/3 n)
(pow.f64 (*.f64 n 3) -1)
(/.f64 1/3 n)
(sqrt.f64 (/.f64 1/9 (*.f64 n n)))
(log.f64 (exp.f64 (/.f64 1/3 n)))
(/.f64 1/3 n)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 n))))
(/.f64 1/3 n)
(cbrt.f64 (pow.f64 (/.f64 1/3 n) 3))
(/.f64 1/3 n)
(expm1.f64 (log1p.f64 (/.f64 1/3 n)))
(/.f64 1/3 n)
(exp.f64 (log.f64 (/.f64 1/3 n)))
(/.f64 1/3 n)
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 n)) 1))
(/.f64 1/3 n)
(log1p.f64 (expm1.f64 (/.f64 1/3 n)))
(/.f64 1/3 n)

eval644.0ms (3.1%)

Compiler

Compiled 37564 to 26560 computations (29.3% saved)

prune387.0ms (1.9%)

Pruning

59 alts after pruning (52 fresh and 7 done)

PrunedKeptTotal
New1362421404
Fresh131023
Picked101
Done5712
Total1381591440
Error
0b
Counts
1440 → 59
Alt Table
Click to see full alt table
StatusErrorProgram
48.8b
(pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) (*.f64 (/.f64 100 i) n)) -1)
17.8b
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
49.0b
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
50.2b
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n (*.f64 n 2))) (-.f64 (*.f64 (*.f64 n (/.f64 1/2 n)) 2) n))
50.2b
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n n)) (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)))
51.1b
(/.f64 (*.f64 (*.f64 n n) 200) i)
33.8b
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (/.f64 1/3 (*.f64 n n))))))) i)
51.1b
(/.f64 (*.f64 (*.f64 200 n) n) i)
51.0b
(/.f64 (*.f64 200 n) (/.f64 i n))
48.8b
(/.f64 (*.f64 100 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))
45.6b
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
55.0b
(/.f64 (*.f64 -200 n) i)
17.4b
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
46.3b
(/.f64 100 (/.f64 (-.f64 (*.f64 n n) (*.f64 (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 (*.f64 n n) (-.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
37.9b
(/.f64 100 (/.f64 (+.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n))))))
20.5b
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
49.0b
(/.f64 100 (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
54.2b
(/.f64 100 (/.f64 i (*.f64 (*.f64 n n) (neg.f64 (log.f64 (/.f64 n i))))))
19.4b
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
31.7b
(/.f64 100 (/.f64 1 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
27.7b
(/.f64 100 (/.f64 1 n))
16.3b
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 1/2 (/.f64 i n)) n)))
14.5b
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 1 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))))
20.5b
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 -1/2 n))))
54.8b
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
54.8b
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
60.3b
(-.f64 (/.f64 (*.f64 -200 n) i) (/.f64 200 i))
48.8b
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)
50.3b
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n 2)) n)) (*.f64 n (*.f64 n 2)))
53.2b
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n))) (*.f64 (*.f64 n n) (*.f64 n 2)))
19.5b
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
18.3b
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
31.7b
(*.f64 (/.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 n n))
48.9b
(*.f64 (/.f64 100 i) (*.f64 (/.f64 1 (-.f64 (/.f64 1/2 n) 1/2)) n))
24.3b
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
19.5b
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
31.2b
(*.f64 (/.f64 100 i) (*.f64 n i))
31.7b
(*.f64 (/.f64 1 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 100 (*.f64 n n)))
49.0b
(*.f64 (/.f64 1 (*.f64 i (neg.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))) -100)
48.9b
(*.f64 (/.f64 1 i) (*.f64 (/.f64 100 (-.f64 (/.f64 1/2 n) 1/2)) n))
48.8b
(*.f64 (/.f64 -100 (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)
48.8b
(*.f64 (*.f64 (/.f64 (/.f64 1 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 100)
27.7b
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
28.1b
(*.f64 n (+.f64 (*.f64 50 i) 100))
27.4b
(*.f64 n (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 100 (+.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
51.0b
(*.f64 n (*.f64 n (/.f64 200 i)))
27.6b
(*.f64 n 100)
51.0b
(*.f64 200 (/.f64 n (/.f64 i n)))
51.8b
(*.f64 200 (exp.f64 (log.f64 (*.f64 n (/.f64 n i)))))
48.8b
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
31.6b
(*.f64 100 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))))
31.1b
(*.f64 100 (/.f64 (*.f64 n i) i))
28.1b
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i n))))
31.5b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (/.f64 1/3 (*.f64 n n))) (+.f64 1/2 (/.f64 -1/2 n)))))))
28.6b
(*.f64 100 (+.f64 n (*.f64 1/3 (/.f64 (*.f64 i i) n))))
17.7b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
45.5b
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
55.0b
(*.f64 -200 (/.f64 n i))
51.0b
0
Compiler

Compiled 867 to 621 computations (28.4% saved)

regimes373.0ms (1.8%)

Counts
93 → 3
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 n n) 200) i)
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(-.f64 (/.f64 (*.f64 -200 n) i) (/.f64 200 i))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n 100) (+.f64 1 (*.f64 i -1/2)))
(*.f64 100 (+.f64 n (*.f64 1/3 (/.f64 (*.f64 i i) n))))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 (/.f64 -100 (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 -1/2 n))))
(/.f64 100 (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(/.f64 (*.f64 100 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i n))))
(*.f64 (*.f64 (/.f64 (/.f64 1 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 100)
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 (/.f64 1 i) (*.f64 (/.f64 100 (-.f64 (/.f64 1/2 n) 1/2)) n))
(*.f64 (/.f64 100 i) (*.f64 (/.f64 1 (-.f64 (/.f64 1/2 n) 1/2)) n))
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 i (*.f64 n n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 1/2 (/.f64 i n)) n)))
(/.f64 100 (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 (/.f64 1 (*.f64 i (neg.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))) -100)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n n)) (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 100 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))))
(*.f64 (/.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 n n))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 1 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))
(*.f64 (/.f64 1 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 100 (*.f64 n n)))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n 2)) n)) (*.f64 n (*.f64 n 2)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)) (*.f64 n n)))))
(/.f64 100 (/.f64 1 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n (*.f64 n 2))) (-.f64 (*.f64 (*.f64 n (/.f64 1/2 n)) 2) n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (/.f64 1/3 (*.f64 n n))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n))) (*.f64 (*.f64 n n) (*.f64 n 2)))
(*.f64 n (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 100 (+.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n 2))))))
(/.f64 100 (/.f64 (+.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 100 (/.f64 (-.f64 (*.f64 n n) (*.f64 (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 (*.f64 n n) (-.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i))
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (/.f64 i n)))))
(/.f64 100 (/.f64 i (*.f64 (*.f64 n n) (neg.f64 (log.f64 (/.f64 n i))))))
(pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) (*.f64 (/.f64 100 i) n)) -1)
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (/.f64 1/3 (*.f64 n n))))))) i)
(*.f64 n (/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) i))
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)
(*.f64 200 (exp.f64 (log.f64 (*.f64 n (/.f64 n i)))))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
Outputs
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
Calls

4 calls:

166.0ms
n
131.0ms
i
27.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
24.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
4.1b4i
4.4b5n
0.2b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
0.2b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 1239 to 753 computations (39.2% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1558.6155991248697
NaN
0.0ms
5.305482753127609e-206
4.380154514505201e-180
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes407.0ms (1.9%)

Counts
88 → 3
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 n n) 200) i)
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(-.f64 (/.f64 (*.f64 -200 n) i) (/.f64 200 i))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n 100) (+.f64 1 (*.f64 i -1/2)))
(*.f64 100 (+.f64 n (*.f64 1/3 (/.f64 (*.f64 i i) n))))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 (/.f64 -100 (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 -1/2 n))))
(/.f64 100 (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(/.f64 (*.f64 100 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i n))))
(*.f64 (*.f64 (/.f64 (/.f64 1 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 100)
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 (/.f64 1 i) (*.f64 (/.f64 100 (-.f64 (/.f64 1/2 n) 1/2)) n))
(*.f64 (/.f64 100 i) (*.f64 (/.f64 1 (-.f64 (/.f64 1/2 n) 1/2)) n))
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 i (*.f64 n n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 1/2 (/.f64 i n)) n)))
(/.f64 100 (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 (/.f64 1 (*.f64 i (neg.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))) -100)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n n)) (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 100 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))))
(*.f64 (/.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 n n))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 1 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))
(*.f64 (/.f64 1 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 100 (*.f64 n n)))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n 2)) n)) (*.f64 n (*.f64 n 2)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)) (*.f64 n n)))))
(/.f64 100 (/.f64 1 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n (*.f64 n 2))) (-.f64 (*.f64 (*.f64 n (/.f64 1/2 n)) 2) n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (/.f64 1/3 (*.f64 n n))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n))) (*.f64 (*.f64 n n) (*.f64 n 2)))
(*.f64 n (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 100 (+.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n 2))))))
(/.f64 100 (/.f64 (+.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 100 (/.f64 (-.f64 (*.f64 n n) (*.f64 (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 (*.f64 n n) (-.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i))
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (/.f64 i n)))))
(/.f64 100 (/.f64 i (*.f64 (*.f64 n n) (neg.f64 (log.f64 (/.f64 n i))))))
(pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) (*.f64 (/.f64 100 i) n)) -1)
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (/.f64 1/3 (*.f64 n n))))))) i)
(*.f64 n (/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) i))
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)
(*.f64 200 (exp.f64 (log.f64 (*.f64 n (/.f64 n i)))))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 n i) (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
Outputs
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
Calls

4 calls:

176.0ms
i
158.0ms
n
25.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
23.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
4.3b4i
4.5b5n
0.8b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
0.8b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 1171 to 726 computations (38% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1558.6155991248697
NaN
0.0ms
5.305482753127609e-206
4.380154514505201e-180
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes311.0ms (1.5%)

Counts
84 → 4
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 n n) 200) i)
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(-.f64 (/.f64 (*.f64 -200 n) i) (/.f64 200 i))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n 100) (+.f64 1 (*.f64 i -1/2)))
(*.f64 100 (+.f64 n (*.f64 1/3 (/.f64 (*.f64 i i) n))))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 (/.f64 -100 (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 -1/2 n))))
(/.f64 100 (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(/.f64 (*.f64 100 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i n))))
(*.f64 (*.f64 (/.f64 (/.f64 1 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 100)
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 (/.f64 1 i) (*.f64 (/.f64 100 (-.f64 (/.f64 1/2 n) 1/2)) n))
(*.f64 (/.f64 100 i) (*.f64 (/.f64 1 (-.f64 (/.f64 1/2 n) 1/2)) n))
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 i (*.f64 n n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 1/2 (/.f64 i n)) n)))
(/.f64 100 (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 (/.f64 1 (*.f64 i (neg.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))) -100)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n n)) (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 100 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))))
(*.f64 (/.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 n n))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 1 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))
(*.f64 (/.f64 1 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 100 (*.f64 n n)))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n 2)) n)) (*.f64 n (*.f64 n 2)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)) (*.f64 n n)))))
(/.f64 100 (/.f64 1 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n (*.f64 n 2))) (-.f64 (*.f64 (*.f64 n (/.f64 1/2 n)) 2) n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (/.f64 1/3 (*.f64 n n))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n))) (*.f64 (*.f64 n n) (*.f64 n 2)))
(*.f64 n (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 100 (+.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n 2))))))
(/.f64 100 (/.f64 (+.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 100 (/.f64 (-.f64 (*.f64 n n) (*.f64 (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 (*.f64 n n) (-.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i))
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (/.f64 i n)))))
(/.f64 100 (/.f64 i (*.f64 (*.f64 n n) (neg.f64 (log.f64 (/.f64 n i))))))
(pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) (*.f64 (/.f64 100 i) n)) -1)
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (/.f64 1/3 (*.f64 n n))))))) i)
(*.f64 n (/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) i))
(/.f64 (*.f64 (*.f64 n 100) (+.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 i (*.f64 (pow.f64 i 3) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6)))))) i)
(*.f64 200 (exp.f64 (log.f64 (*.f64 n (/.f64 n i)))))
Outputs
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
Calls

4 calls:

122.0ms
i
94.0ms
n
43.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
28.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
6.4b4i
7.7b3n
7.9b4(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
7.9b4(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 1119 to 709 computations (36.6% saved)

bsearch267.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
31.0ms
1.8370498552403455e+244
3.3720763796113523e+246
179.0ms
1517214218.3327558
20006569172.091896
57.0ms
-9.412842319666722e+75
-1.5298764623413672e+63
Results
104.0ms129×body1024infinite
30.0ms51×body1024valid
27.0ms212×body256valid
27.0ms54×body512infinite
26.0ms145×body256infinite
25.0ms105×body512valid
20.0ms203×body256invalid
Compiler

Compiled 780 to 586 computations (24.9% saved)

regimes167.0ms (0.8%)

Counts
77 → 3
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 n n) 200) i)
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(-.f64 (/.f64 (*.f64 -200 n) i) (/.f64 200 i))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n 100) (+.f64 1 (*.f64 i -1/2)))
(*.f64 100 (+.f64 n (*.f64 1/3 (/.f64 (*.f64 i i) n))))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 (/.f64 -100 (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 -1/2 n))))
(/.f64 100 (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(/.f64 (*.f64 100 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i n))))
(*.f64 (*.f64 (/.f64 (/.f64 1 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 100)
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 (/.f64 1 i) (*.f64 (/.f64 100 (-.f64 (/.f64 1/2 n) 1/2)) n))
(*.f64 (/.f64 100 i) (*.f64 (/.f64 1 (-.f64 (/.f64 1/2 n) 1/2)) n))
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 i (*.f64 n n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 1/2 (/.f64 i n)) n)))
(/.f64 100 (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 (/.f64 1 (*.f64 i (neg.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))) -100)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n n)) (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 100 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))))
(*.f64 (/.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 n n))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 1 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))
(*.f64 (/.f64 1 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 100 (*.f64 n n)))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n 2)) n)) (*.f64 n (*.f64 n 2)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)) (*.f64 n n)))))
(/.f64 100 (/.f64 1 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n (*.f64 n 2))) (-.f64 (*.f64 (*.f64 n (/.f64 1/2 n)) 2) n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (/.f64 1/3 (*.f64 n n))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n))) (*.f64 (*.f64 n n) (*.f64 n 2)))
(*.f64 n (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 100 (+.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n 2))))))
(/.f64 100 (/.f64 (+.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 100 (/.f64 (-.f64 (*.f64 n n) (*.f64 (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 (*.f64 n n) (-.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i))
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (/.f64 i n)))))
(/.f64 100 (/.f64 i (*.f64 (*.f64 n n) (neg.f64 (log.f64 (/.f64 n i))))))
(pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) (*.f64 (/.f64 100 i) n)) -1)
Outputs
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
Calls

2 calls:

87.0ms
n
58.0ms
i
Results
ErrorSegmentsBranch
8.1b2i
7.7b3n
Compiler

Compiled 936 to 596 computations (36.3% saved)

bsearch64.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
7.0ms
3.190830235957388e-13
25280167522121650.0
56.0ms
-910277454.6531302
-258.16395274706525
Results
39.0ms79×body1024valid
7.0ms53×body256valid
6.0ms22×body512valid
4.0msbody2048valid
3.0ms36×body256invalid
0.0msbody256infinite
Compiler

Compiled 312 to 235 computations (24.7% saved)

regimes160.0ms (0.8%)

Counts
70 → 3
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 n n) 200) i)
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(-.f64 (/.f64 (*.f64 -200 n) i) (/.f64 200 i))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n 100) (+.f64 1 (*.f64 i -1/2)))
(*.f64 100 (+.f64 n (*.f64 1/3 (/.f64 (*.f64 i i) n))))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 (/.f64 -100 (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 -1/2 n))))
(/.f64 100 (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(/.f64 (*.f64 100 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i n))))
(*.f64 (*.f64 (/.f64 (/.f64 1 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 100)
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 (/.f64 1 i) (*.f64 (/.f64 100 (-.f64 (/.f64 1/2 n) 1/2)) n))
(*.f64 (/.f64 100 i) (*.f64 (/.f64 1 (-.f64 (/.f64 1/2 n) 1/2)) n))
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 i (*.f64 n n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 1/2 (/.f64 i n)) n)))
(/.f64 100 (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 (/.f64 1 (*.f64 i (neg.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))) -100)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n n)) (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 100 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))))
(*.f64 (/.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 n n))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 1 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))
(*.f64 (/.f64 1 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 100 (*.f64 n n)))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n 2)) n)) (*.f64 n (*.f64 n 2)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)) (*.f64 n n)))))
(/.f64 100 (/.f64 1 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n (*.f64 n 2))) (-.f64 (*.f64 (*.f64 n (/.f64 1/2 n)) 2) n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (/.f64 1/3 (*.f64 n n))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n))) (*.f64 (*.f64 n n) (*.f64 n 2)))
(*.f64 n (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 100 (+.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n 2))))))
(/.f64 100 (/.f64 (+.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 100 (/.f64 (-.f64 (*.f64 n n) (*.f64 (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 (*.f64 n n) (-.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
Outputs
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
Calls

2 calls:

80.0ms
n
56.0ms
i
Results
ErrorSegmentsBranch
8.2b2i
7.8b3n
Compiler

Compiled 864 to 558 computations (35.4% saved)

bsearch162.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
110.0ms
3.190830235957388e-13
25280167522121650.0
51.0ms
-910277454.6531302
-258.16395274706525
Results
84.0ms161×body1024valid
33.0ms38×body2048valid
16.0ms52×body512valid
10.0ms69×body256valid
8.0ms82×body256invalid
7.0ms39×body256infinite
Compiler

Compiled 602 to 455 computations (24.4% saved)

regimes70.0ms (0.3%)

Counts
69 → 1
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 n n) 200) i)
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(-.f64 (/.f64 (*.f64 -200 n) i) (/.f64 200 i))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n 100) (+.f64 1 (*.f64 i -1/2)))
(*.f64 100 (+.f64 n (*.f64 1/3 (/.f64 (*.f64 i i) n))))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 (/.f64 -100 (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 -1/2 n))))
(/.f64 100 (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(/.f64 (*.f64 100 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i n))))
(*.f64 (*.f64 (/.f64 (/.f64 1 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 100)
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 (/.f64 1 i) (*.f64 (/.f64 100 (-.f64 (/.f64 1/2 n) 1/2)) n))
(*.f64 (/.f64 100 i) (*.f64 (/.f64 1 (-.f64 (/.f64 1/2 n) 1/2)) n))
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 i (*.f64 n n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 1/2 (/.f64 i n)) n)))
(/.f64 100 (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 (/.f64 1 (*.f64 i (neg.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))) -100)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n n)) (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 100 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))))
(*.f64 (/.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 n n))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 1 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))
(*.f64 (/.f64 1 (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 100 (*.f64 n n)))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n 2)) n)) (*.f64 n (*.f64 n 2)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (*.f64 n (+.f64 (/.f64 1/2 n) -1/2)) (*.f64 n n)))))
(/.f64 100 (/.f64 1 (/.f64 (*.f64 n n) (+.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(/.f64 (*.f64 (/.f64 100 i) (*.f64 n (*.f64 n 2))) (-.f64 (*.f64 (*.f64 n (/.f64 1/2 n)) 2) n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (/.f64 1/3 (*.f64 n n))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n))) (*.f64 (*.f64 n n) (*.f64 n 2)))
(*.f64 n (*.f64 (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 100 (+.f64 n (/.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (*.f64 1/2 (*.f64 n 2)) (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n 2))))))
(/.f64 100 (/.f64 (+.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (/.f64 (/.f64 n i) (+.f64 -1/2 (/.f64 1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 100 (/.f64 (-.f64 (*.f64 n n) (*.f64 (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))))) (*.f64 (*.f64 n n) (-.f64 n (*.f64 n (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))))))))
Outputs
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
Calls

2 calls:

26.0ms
n
26.0ms
i
Results
ErrorSegmentsBranch
14.5b1i
14.5b1n
Compiler

Compiled 856 to 553 computations (35.4% saved)

regimes85.0ms (0.4%)

Counts
50 → 2
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 n n) 200) i)
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(-.f64 (/.f64 (*.f64 -200 n) i) (/.f64 200 i))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n 100) (+.f64 1 (*.f64 i -1/2)))
(*.f64 100 (+.f64 n (*.f64 1/3 (/.f64 (*.f64 i i) n))))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 (/.f64 -100 (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 -1/2 n))))
(/.f64 100 (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(/.f64 (*.f64 100 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i n))))
(*.f64 (*.f64 (/.f64 (/.f64 1 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 100)
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 (/.f64 1 i) (*.f64 (/.f64 100 (-.f64 (/.f64 1/2 n) 1/2)) n))
(*.f64 (/.f64 100 i) (*.f64 (/.f64 1 (-.f64 (/.f64 1/2 n) 1/2)) n))
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 i (*.f64 n n)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 1/2 (/.f64 i n)) n)))
(/.f64 100 (/.f64 i (/.f64 1 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
(/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))
(*.f64 (/.f64 1 (*.f64 i (neg.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))) -100)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))))
Outputs
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 1/2 (/.f64 i n)) n)))
Calls

2 calls:

37.0ms
n
37.0ms
i
Results
ErrorSegmentsBranch
15.2b2i
14.9b2n
Compiler

Compiled 461 to 299 computations (35.1% saved)

bsearch49.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
-910277454.6531302
-258.16395274706525
Results
24.0ms54×body1024valid
9.0ms64×body256valid
7.0msbody2048valid
4.0ms17×body512valid
3.0ms32×body256invalid
Compiler

Compiled 274 to 213 computations (22.3% saved)

regimes119.0ms (0.6%)

Counts
45 → 4
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 n n) 200) i)
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(-.f64 (/.f64 (*.f64 -200 n) i) (/.f64 200 i))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n 100) (+.f64 1 (*.f64 i -1/2)))
(*.f64 100 (+.f64 n (*.f64 1/3 (/.f64 (*.f64 i i) n))))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 (/.f64 -100 (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 -1/2 n))))
(/.f64 100 (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(/.f64 (*.f64 100 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i n))))
(*.f64 (*.f64 (/.f64 (/.f64 1 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 100)
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 (/.f64 1 i) (*.f64 (/.f64 100 (-.f64 (/.f64 1/2 n) 1/2)) n))
(*.f64 (/.f64 100 i) (*.f64 (/.f64 1 (-.f64 (/.f64 1/2 n) 1/2)) n))
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 i (*.f64 n n)))))
Outputs
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 i (*.f64 n n)))))
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 i (*.f64 n n)))))
Calls

2 calls:

62.0ms
i
48.0ms
n
Results
ErrorSegmentsBranch
15.5b4i
17.4b2n
Compiler

Compiled 393 to 251 computations (36.1% saved)

bsearch261.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
103.0ms
6.044125924931572e-204
5.302519911659246e-200
95.0ms
-2.247403129237443e-251
-7.293695783745422e-252
62.0ms
-1857033.3772284917
-2.457970647635905e-15
Results
129.0ms103×body2048valid
88.0ms165×body1024valid
13.0ms55×body512valid
9.0msbody4096valid
7.0ms78×body256invalid
7.0ms57×body256valid
Compiler

Compiled 768 to 580 computations (24.5% saved)

regimes114.0ms (0.5%)

Counts
44 → 3
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 n n) 200) i)
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(-.f64 (/.f64 (*.f64 -200 n) i) (/.f64 200 i))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n 100) (+.f64 1 (*.f64 i -1/2)))
(*.f64 100 (+.f64 n (*.f64 1/3 (/.f64 (*.f64 i i) n))))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 (/.f64 -100 (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 -1/2 n))))
(/.f64 100 (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(/.f64 (*.f64 100 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i n))))
(*.f64 (*.f64 (/.f64 (/.f64 1 i) (-.f64 (/.f64 1/2 n) 1/2)) n) 100)
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 (/.f64 1 i) (*.f64 (/.f64 100 (-.f64 (/.f64 1/2 n) 1/2)) n))
(*.f64 (/.f64 100 i) (*.f64 (/.f64 1 (-.f64 (/.f64 1/2 n) 1/2)) n))
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
Outputs
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i n))))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
Calls

2 calls:

60.0ms
n
45.0ms
i
Results
ErrorSegmentsBranch
16.9b3i
18.1b3n
Compiler

Compiled 380 to 243 computations (36.1% saved)

bsearch133.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
68.0ms
3.873135790888121e-6
1517214218.3327558
65.0ms
-1857033.3772284917
-2.457970647635905e-15
Results
79.0ms146×body1024valid
26.0ms100×body512valid
11.0ms87×body256valid
8.0ms82×body256invalid
3.0msbody2048valid
2.0msbody1024infinite
Compiler

Compiled 652 to 498 computations (23.6% saved)

regimes100.0ms (0.5%)

Counts
38 → 3
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 n n) 200) i)
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(-.f64 (/.f64 (*.f64 -200 n) i) (/.f64 200 i))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n 100) (+.f64 1 (*.f64 i -1/2)))
(*.f64 100 (+.f64 n (*.f64 1/3 (/.f64 (*.f64 i i) n))))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 (/.f64 -100 (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)
(*.f64 (/.f64 (/.f64 100 i) (-.f64 (/.f64 1/2 n) 1/2)) n)
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 -1/2 n))))
(/.f64 100 (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(/.f64 (*.f64 100 (/.f64 n i)) (+.f64 -1/2 (/.f64 1/2 n)))
Outputs
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))
Calls

2 calls:

53.0ms
n
40.0ms
i
Results
ErrorSegmentsBranch
17.0b3i
18.1b3n
Compiler

Compiled 302 to 187 computations (38.1% saved)

bsearch127.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
66.0ms
3.873135790888121e-6
1517214218.3327558
60.0ms
-1.730018346133969e+53
-3.8453720447393145e+37
Results
65.0ms115×body1024valid
27.0ms97×body512valid
14.0ms103×body256valid
8.0ms85×body256invalid
5.0msbody2048valid
2.0msbody1024infinite
1.0msbody256infinite
Compiler

Compiled 542 to 435 computations (19.7% saved)

regimes72.0ms (0.3%)

Counts
31 → 3
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 n n) 200) i)
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(-.f64 (/.f64 (*.f64 -200 n) i) (/.f64 200 i))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n 100) (+.f64 1 (*.f64 i -1/2)))
(*.f64 100 (+.f64 n (*.f64 1/3 (/.f64 (*.f64 i i) n))))
Outputs
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
(*.f64 200 (*.f64 n (/.f64 n i)))
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))
Calls

2 calls:

43.0ms
n
22.0ms
i
Results
ErrorSegmentsBranch
18.4b2i
18.1b3n
Compiler

Compiled 225 to 134 computations (40.4% saved)

bsearch98.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
4.7821246484475944e-228
8.232561437591868e-228
75.0ms
-1.8896637140637455e-144
-3.3335454040427106e-155
Results
59.0ms140×body1024valid
16.0ms19×body2048valid
11.0ms113×body256invalid
4.0ms44×body256valid
4.0ms21×body512valid
Compiler

Compiled 330 to 253 computations (23.3% saved)

regimes64.0ms (0.3%)

Counts
27 → 3
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 n n) 200) i)
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(-.f64 (/.f64 (*.f64 -200 n) i) (/.f64 200 i))
Outputs
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))
Calls

2 calls:

39.0ms
n
20.0ms
i
Results
ErrorSegmentsBranch
18.4b2i
18.2b3n
Compiler

Compiled 187 to 108 computations (42.2% saved)

bsearch90.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
4.7821246484475944e-228
8.232561437591868e-228
69.0ms
-1.8896637140637455e-144
-3.3335454040427106e-155
Results
55.0ms142×body1024valid
16.0ms20×body2048valid
9.0ms99×body256invalid
5.0ms50×body256valid
2.0ms12×body512valid
Compiler

Compiled 330 to 253 computations (23.3% saved)

regimes69.0ms (0.3%)

Counts
24 → 3
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(/.f64 100 (*.f64 i (/.f64 -1/2 n)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 200 n) (/.f64 i n))
(/.f64 (*.f64 (*.f64 200 n) n) i)
(/.f64 (*.f64 (*.f64 n n) 200) i)
Outputs
(/.f64 100 (*.f64 -1/2 (/.f64 i n)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 200 (*.f64 n (/.f64 n i)))
Calls

2 calls:

38.0ms
n
27.0ms
i
Results
ErrorSegmentsBranch
18.3b3i
21.1b3n
Compiler

Compiled 160 to 89 computations (44.4% saved)

bsearch127.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
64.0ms
3.873135790888121e-6
1517214218.3327558
63.0ms
-1857033.3772284917
-2.457970647635905e-15
Results
74.0ms140×body1024valid
26.0ms97×body512valid
12.0ms96×body256valid
7.0ms75×body256invalid
3.0msbody2048valid
1.0msbody1024infinite
Compiler

Compiled 442 to 341 computations (22.9% saved)

regimes50.0ms (0.2%)

Counts
17 → 3
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (/.f64 (*.f64 100 i) i))
(*.f64 (*.f64 (/.f64 100/3 n) i) i)
(*.f64 (/.f64 100/3 (/.f64 n i)) i)
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
Outputs
(*.f64 -200 (/.f64 n i))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 200 (*.f64 n (/.f64 n i)))
Calls

2 calls:

27.0ms
n
20.0ms
i
Results
ErrorSegmentsBranch
18.4b3i
21.1b3n
Compiler

Compiled 111 to 64 computations (42.3% saved)

bsearch127.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
61.0ms
3.873135790888121e-6
1517214218.3327558
65.0ms
-1857033.3772284917
-2.457970647635905e-15
Results
74.0ms137×body1024valid
26.0ms104×body512valid
11.0ms91×body256valid
8.0ms87×body256invalid
3.0msbody2048valid
Compiler

Compiled 420 to 319 computations (24% saved)

regimes37.0ms (0.2%)

Counts
11 → 3
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 200 (*.f64 n (/.f64 n i)))
(*.f64 200 (/.f64 n (/.f64 i n)))
(*.f64 200 (/.f64 (*.f64 n n) i))
(*.f64 n (*.f64 n (/.f64 200 i)))
Outputs
(*.f64 -200 (/.f64 n i))
(*.f64 n 100)
(*.f64 200 (*.f64 n (/.f64 n i)))
Calls

2 calls:

20.0ms
n
15.0ms
i
Results
ErrorSegmentsBranch
18.7b3i
21.1b3n
Compiler

Compiled 69 to 41 computations (40.6% saved)

bsearch123.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
61.0ms
3.873135790888121e-6
1517214218.3327558
62.0ms
-1857033.3772284917
-2.457970647635905e-15
Results
68.0ms127×body1024valid
29.0ms112×body512valid
11.0ms92×body256valid
5.0ms55×body256invalid
5.0msbody2048valid
1.0msbody1024infinite
Compiler

Compiled 336 to 256 computations (23.8% saved)

regimes28.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
0
(*.f64 n 100)
(*.f64 -200 (/.f64 n i))
(/.f64 100 (/.f64 1 n))
(/.f64 (*.f64 -200 n) i)
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
Outputs
(*.f64 -200 (/.f64 n i))
(*.f64 n 100)
0
Calls

2 calls:

15.0ms
n
12.0ms
i
Results
ErrorSegmentsBranch
18.9b3i
21.2b3n
Compiler

Compiled 41 to 27 computations (34.1% saved)

bsearch241.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
176.0ms
1517214218.3327558
20006569172.091896
64.0ms
-1857033.3772284917
-2.457970647635905e-15
Results
102.0ms131×body1024infinite
42.0ms88×body1024valid
31.0ms69×body512infinite
20.0ms91×body512valid
19.0ms97×body256infinite
13.0ms135×body256invalid
10.0ms92×body256valid
1.0msbody2048valid
Compiler

Compiled 236 to 190 computations (19.5% saved)

regimes17.0ms (0.1%)

Accuracy

Total -42.4b remaining (-221.3%)

Threshold costs -42.4b (-221.3%)

Counts
2 → 3
Calls
Call 1
Inputs
0
(*.f64 n 100)
Outputs
0
(*.f64 n 100)
0
Calls

2 calls:

9.0ms
n
7.0ms
i
Results
ErrorSegmentsBranch
19.2b3i
21.2b3n
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch218.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
160.0ms
1517214218.3327558
20006569172.091896
58.0ms
-3.8453720447393145e+37
-14384187741768616000.0
Results
89.0ms114×body1024infinite
32.0ms64×body1024valid
28.0ms59×body512infinite
23.0ms97×body512valid
17.0ms88×body256infinite
13.0ms144×body256invalid
12.0ms95×body256valid
Compiler

Compiled 182 to 159 computations (12.6% saved)

simplify22.0ms (0.1%)

Algorithm
egg-herbie
Rules
58×*-commutative
26×+-commutative
16×if-if-or-not
sub-neg
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01761588
12491588
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 1129605583483287/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 2000) (*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))) (/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 1129605583483287/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 2000) (*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))) (/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))))
(if (<=.f64 i -1550000000000000025739141277999800561048525536883930569220554752) (/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i)))) (if (<=.f64 i 20000000000) (/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))) (if (<=.f64 i 104999999999999997983459271401656104707179175451752401764775729924205899948635631559375699959152897074080398497400649127203462939669391880402707634517514667504556158858035012065615230668010369851171900757094822104084571142954550289340543474335744) (*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 i (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))))
(if (<=.f64 n -260) (*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100) (if (<=.f64 n 4951760157141521/9903520314283042199192993792) (/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))) (*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)))
(if (<=.f64 n -260) (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) (if (<=.f64 n 7400000000000) (/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n))) (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))))
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
(if (<=.f64 n -260) (*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) (/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 1/2 (/.f64 i n)) n))))
(if (<=.f64 i -2) (*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2))) (if (<=.f64 i -8254602048994769/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 6032744662767799/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 i (*.f64 n n))))))))
(if (<=.f64 i -6124895493223875/36028797018963968) (*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2))) (if (<=.f64 i 1261007895663739/9007199254740992) (*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i n)))) (*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))))
(if (<=.f64 i -38999999999999998555351853203495845888) (*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2))) (if (<=.f64 i 2206763817411543/2251799813685248) (*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) (*.f64 100 (/.f64 (/.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)))))
(if (<=.f64 n -7371020360979573/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656) (/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n)) (if (<=.f64 n 4438230406524831/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128) (*.f64 200 (*.f64 n (/.f64 n i))) (/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))))
(if (<=.f64 n -8091375438817385/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) (if (<=.f64 n 1322934063483363/213376461852155336770555257303080249508632266314109061132680249976449191610164226288685830427889737303773757138989863694268441652931819682571627393674586561475045042544448465870818505149178048791326880516348371263414103937199246761317244076032) (*.f64 200 (*.f64 n (/.f64 n i))) (*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))))))
(if (<=.f64 i -1823957849085051/1125899906842624) (/.f64 100 (*.f64 -1/2 (/.f64 i n))) (if (<=.f64 i 8782019273372467/1125899906842624) (*.f64 n (+.f64 (*.f64 50 i) 100)) (*.f64 200 (*.f64 n (/.f64 n i)))))
(if (<=.f64 i -1823957849085051/1125899906842624) (*.f64 -200 (/.f64 n i)) (if (<=.f64 i 5/2) (*.f64 n (+.f64 (*.f64 50 i) 100)) (*.f64 200 (*.f64 n (/.f64 n i)))))
(if (<=.f64 i -2) (*.f64 -200 (/.f64 n i)) (if (<=.f64 i 3602879701896397/4503599627370496) (*.f64 n 100) (*.f64 200 (*.f64 n (/.f64 n i)))))
(if (<=.f64 i -2) (*.f64 -200 (/.f64 n i)) (if (<=.f64 i 1550000000) (*.f64 n 100) 0))
(if (<=.f64 i -280000000000000000000) 0 (if (<=.f64 i 1550000000) (*.f64 n 100) 0))
0
Outputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 1129605583483287/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 2000) (*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))) (/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 1129605583483287/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648) (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2000) (*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))) (/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n))))
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(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n))) n)))
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(if (<=.f64 i -2) (*.f64 (/.f64 n i) -200) (if (<=.f64 i 3602879701896397/4503599627370496) (*.f64 n 100) (*.f64 200 (*.f64 n (/.f64 n i)))))
(if (<=.f64 i -2) (*.f64 -200 (/.f64 n i)) (if (<=.f64 i 1550000000) (*.f64 n 100) 0))
(if (<=.f64 i -2) (*.f64 (/.f64 n i) -200) (if (<=.f64 i 1550000000) (*.f64 n 100) 0))
(if (<=.f64 i -280000000000000000000) 0 (if (<=.f64 i 1550000000) (*.f64 n 100) 0))
0
Compiler

Compiled 616 to 433 computations (29.7% saved)

soundness274.0ms (1.3%)

Algorithm
egg-herbie
Rules
1724×associate-*r*
1468×associate-*l*
1418×associate-*l*
1380×associate-*r*
1228×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01243
13143
27039
317139
450839
5205539
6646939
096823309
1306423275
072316199
1225615363
084521284
1263720482
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 618 to 455 computations (26.4% saved)

end199.0ms (1%)

Compiler

Compiled 582 to 376 computations (35.4% saved)

Profiling

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