Details

Time bar (total: 17.8s)

analyze321.0ms (1.8%)

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)

sample6.0s (33.6%)

Results
2.8s1783×body2048valid
1.9s2845×body1024valid
428.0ms2446×body256valid
381.0ms1147×body512valid
123.0ms189×body1024infinite
101.0ms589×body256infinite
84.0ms225×body512infinite
76.0ms571×body256invalid
75.0ms35×body4096valid
24.0ms22×body2048infinite
Bogosity

preprocess101.0ms (0.6%)

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)

simplify59.0ms (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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New426
Fresh101
Picked000
Done000
Total527
Error
73.45%
Counts
7 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
73.84%
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
73.74%
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
Compiler

Compiled 34 to 23 computations (32.4% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.04%
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
0.05%
(*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i))
1.33%
(+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)
12.71%
(pow.f64 (+.f64 1 (/.f64 i n)) n)
Compiler

Compiled 70 to 38 computations (45.7% saved)

series19.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
n
@0
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
2.0ms
n
@0
(*.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)

rewrite124.0ms (0.7%)

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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simplify177.0ms (1%)

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))))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))
1.33%
(+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)
12.71%
(pow.f64 (+.f64 1 (/.f64 i n)) n)
17%
(/.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)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite136.0ms (0.8%)

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
01374
129966
2417866
Stop Event
node limit
Counts
2 → 123
Calls
Call 1
Inputs
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
(*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))
Outputs
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simplify144.0ms (0.8%)

Algorithm
egg-herbie
Rules
1138×associate-*r*
942×*-commutative
934×associate-*l*
784×associate-/l*
684×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062511817
1193411289
Stop Event
node limit
Counts
171 → 277
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)))
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(-.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))))
(+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)
(+.f64 -100 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)))
(+.f64 -100 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1))
(+.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1) -100)
(+.f64 (*.f64 1 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1)) -100)
(+.f64 (*.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1) 1) -100)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 1)
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 1)
(/.f64 (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) -100) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))
(/.f64 (+.f64 -100 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) 100)) (+.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 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) 100) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) 100) (+.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 (*.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))
(/.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 1 (-.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)))
(/.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))))
(/.f64 (+.f64 -1000000 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 3)) (*.f64 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)))))
(pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 1)
(pow.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2)
(pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 3)
(pow.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 2))
(log.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))
(cbrt.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3))
(expm1.f64 (log1p.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))
(exp.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))
(exp.f64 (*.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 1))
(log1p.f64 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)
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 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n))
(*.f64 100 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 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 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
(*.f64 100 (+.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) (*.f64 (*.f64 i i) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) n))))
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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))
(+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(+.f64 -100 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)))
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(+.f64 -100 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1))
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(+.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1) -100)
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(+.f64 (*.f64 1 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1)) -100)
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(+.f64 (*.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1) 1) -100)
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 1)
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 1)
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(/.f64 (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) -100) (+.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 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))
(/.f64 (+.f64 -100 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)) 100)) (+.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 -100 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))) (+.f64 1 (-.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 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) 100)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) 100) (+.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 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3))) 100) (+.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 -100 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 3)))) (+.f64 1 (-.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 (+.f64 1 (/.f64 i n)) (+.f64 n n)) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) 100)
(/.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))
(/.f64 (+.f64 (*.f64 10000 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (pow.f64 (+.f64 1 (/.f64 i n)) n))) -10000) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100))
(/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) 10000) -10000) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100))
(/.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 1 (-.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)))
(/.f64 (+.f64 (*.f64 10000 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (pow.f64 (+.f64 1 (/.f64 i n)) n))) -10000) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100))
(/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) 10000) -10000) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100))
(/.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))))
(/.f64 (+.f64 -1000000 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 3)) (+.f64 (*.f64 10000 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (pow.f64 (+.f64 1 (/.f64 i n)) n))) (-.f64 10000 (*.f64 100 (*.f64 -100 (pow.f64 (+.f64 1 (/.f64 i n)) n))))))
(/.f64 (+.f64 -1000000 (*.f64 1000000 (pow.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) 10000) (+.f64 10000 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 10000))))
(/.f64 (+.f64 -1000000 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 3)) (*.f64 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)))))
(/.f64 (+.f64 -1000000 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 3)) (+.f64 (*.f64 10000 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (pow.f64 (+.f64 1 (/.f64 i n)) n))) (-.f64 10000 (*.f64 100 (*.f64 -100 (pow.f64 (+.f64 1 (/.f64 i n)) n))))))
(/.f64 (+.f64 -1000000 (*.f64 1000000 (pow.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)) 10000) (+.f64 10000 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 10000))))
(pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 1)
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(pow.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2)
(pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 3)
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(pow.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3) 1/3)
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(sqrt.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 2))
(log.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(cbrt.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3))
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(expm1.f64 (log1p.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(exp.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(exp.f64 (*.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 1))
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(log1p.f64 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)

eval746.0ms (4.2%)

Compiler

Compiled 36168 to 21820 computations (39.7% saved)

prune408.0ms (2.3%)

Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New92127948
Fresh000
Picked101
Done011
Total92228950
Error
1.24%
Counts
950 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
54.5%
(fma.f64 100 (*.f64 n (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))))) (*.f64 100 (+.f64 n (*.f64 n (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))))
50.82%
(fma.f64 100 (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
88.17%
(/.f64 (*.f64 (*.f64 100 n) (fma.f64 -1 (log.f64 n) (log.f64 i))) (/.f64 i n))
73.73%
(/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i 100))
95.57%
(/.f64 (*.f64 100 (+.f64 (+.f64 (+.f64 1 i) (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)))) -1)) (/.f64 i n))
80.54%
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
87.78%
(/.f64 (*.f64 100 (+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))) (/.f64 i n))
89.06%
(/.f64 (*.f64 100 (+.f64 (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (pow.f64 n 3) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))))))) (/.f64 i n))
78.56%
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
88.17%
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))
79.96%
(/.f64 (*.f64 100 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (/.f64 i n))
50.69%
(/.f64 (*.f64 100 i) (/.f64 i n))
29.44%
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
45.3%
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
92.52%
(*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))
29.57%
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
88.18%
(*.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) 100)
79.97%
(*.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) 100)
45.09%
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
44.39%
(*.f64 n 100)
32.14%
(*.f64 100 (+.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))
50.83%
(*.f64 100 (+.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)))))))
54.5%
(*.f64 100 (+.f64 n (*.f64 n (+.f64 (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3))))))))))
73.74%
(*.f64 100 (*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i)))
45.71%
(*.f64 100 (*.f64 n (/.f64 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) i)))
88.19%
(*.f64 100 (*.f64 n (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) i)))
79.97%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) i)))
24.65%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
Compiler

Compiled 1199 to 838 computations (30.1% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (expm1.f64 i) i)
0.1%
(*.f64 n (/.f64 (expm1.f64 i) i))
0.12%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
Compiler

Compiled 25 to 8 computations (68% saved)

series7.0ms (0%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
i
@inf
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
2.0ms
i
@-inf
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
1.0ms
n
@0
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
1.0ms
n
@inf
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
0.0ms
i
@0
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))

rewrite93.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1240×associate-*r/
1004×*-commutative
870×associate-/r*
810×associate-*l/
714×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051
120551
2256851
Stop Event
node limit
Counts
3 → 266
Calls
Call 1
Inputs
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (expm1.f64 i) i)
Outputs
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#<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) 1) (/.f64 (sqrt.f64 (expm1.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (expm1.f64 i)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) (cbrt.f64 i)) (/.f64 (sqrt.f64 (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (expm1.f64 i)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (expm1.f64 i)) (sqrt.f64 i)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) i) (cbrt.f64 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 i (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) (cbrt.f64 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i))) (cbrt.f64 (/.f64 (expm1.f64 i) i))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i))) (cbrt.f64 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)))) (*.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 i) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (expm1.f64 i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (expm1.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (expm1.f64 i) (neg.f64 i)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (expm1.f64 i) (/.f64 -1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (expm1.f64 i) (neg.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 i) i)))))))

simplify176.0ms (1%)

Algorithm
egg-herbie
Rules
1002×associate-/l/
896×times-frac
758×associate-*r*
676×associate-/r/
672×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06507950
116917788
266857768
Stop Event
node limit
Counts
326 → 394
Calls
Call 1
Inputs
(*.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 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)
1
(+.f64 1 (*.f64 1/2 i))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i)))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (+.f64 (*.f64 1/2 i) (*.f64 1/24 (pow.f64 i 3)))))
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i)))) 1)
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 n (/.f64 (/.f64 i (expm1.f64 i)) 100))
(/.f64 (*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i)) 1)
(/.f64 1 (/.f64 (/.f64 i (expm1.f64 i)) (*.f64 100 n)))
(/.f64 (*.f64 100 n) (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (expm1.f64 i)) (/.f64 i 100))
(/.f64 (sqrt.f64 (*.f64 100 n)) (/.f64 (/.f64 i (expm1.f64 i)) (sqrt.f64 (*.f64 100 n))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 100 n)) (cbrt.f64 (*.f64 100 n))) (/.f64 (/.f64 i (expm1.f64 i)) (cbrt.f64 (*.f64 100 n))))
(/.f64 (*.f64 100 (sqrt.f64 n)) (/.f64 (/.f64 i (expm1.f64 i)) (sqrt.f64 n)))
(/.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 i (expm1.f64 i)) (cbrt.f64 n)))
(/.f64 (*.f64 (expm1.f64 i) (*.f64 100 n)) i)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) (*.f64 100 n)) (sqrt.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) (*.f64 100 n))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 100 n) (sqrt.f64 (expm1.f64 i))) (/.f64 i (sqrt.f64 (expm1.f64 i))))
(/.f64 (*.f64 100 (*.f64 (expm1.f64 i) (neg.f64 n))) (neg.f64 i))
(/.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 1 n))) i)
(/.f64 (*.f64 100 (/.f64 n (/.f64 (sqrt.f64 i) (expm1.f64 i)))) (sqrt.f64 i))
(/.f64 (*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(/.f64 (*.f64 1 (*.f64 (expm1.f64 i) (*.f64 100 n))) i)
(/.f64 (*.f64 1 (*.f64 100 (*.f64 n (expm1.f64 i)))) i)
(/.f64 (*.f64 1 (neg.f64 (*.f64 (expm1.f64 i) (*.f64 100 n)))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 100 n) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)) (/.f64 i (cbrt.f64 (expm1.f64 i))))
(/.f64 (*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) 1)) i)
(/.f64 (*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(/.f64 (*.f64 (*.f64 100 n) -1) (/.f64 i (neg.f64 (expm1.f64 i))))
(/.f64 (*.f64 (*.f64 100 (sqrt.f64 (*.f64 n (/.f64 (expm1.f64 i) i)))) (sqrt.f64 (*.f64 n (expm1.f64 i)))) (sqrt.f64 i))
(/.f64 (*.f64 (*.f64 100 (pow.f64 (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 i) i))) 2)) (cbrt.f64 (*.f64 n (expm1.f64 i)))) (cbrt.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) (*.f64 100 n)) 1) i)
(/.f64 (*.f64 (*.f64 (expm1.f64 i) (*.f64 100 n)) 1) (/.f64 i 1))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) (*.f64 100 n)) (/.f64 1 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) (*.f64 100 n)) (/.f64 1 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) (*.f64 100 n)) -1) (neg.f64 i))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) (*.f64 100 n)) 1) (sqrt.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) (*.f64 100 n)) (sqrt.f64 (expm1.f64 i))) (sqrt.f64 i))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) (*.f64 100 n)) (sqrt.f64 (neg.f64 (expm1.f64 i)))) (sqrt.f64 (neg.f64 i)))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2) (*.f64 100 n)) 1) (cbrt.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2) (*.f64 100 n)) (cbrt.f64 (expm1.f64 i))) (cbrt.f64 i))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2) (*.f64 100 n)) (cbrt.f64 (neg.f64 (expm1.f64 i)))) (cbrt.f64 (neg.f64 i)))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) (*.f64 100 n)) (/.f64 i (sqrt.f64 (expm1.f64 i))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (*.f64 100 n)) (/.f64 i (cbrt.f64 (expm1.f64 i))))
(/.f64 (*.f64 (/.f64 (expm1.f64 i) 1) (*.f64 100 n)) i)
(/.f64 (*.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (*.f64 100 n)) (sqrt.f64 i))
(/.f64 (*.f64 (/.f64 (expm1.f64 i) (pow.f64 (cbrt.f64 i) 2)) (*.f64 100 n)) (cbrt.f64 i))
(/.f64 (*.f64 -1 (*.f64 100 n)) (/.f64 i (neg.f64 (expm1.f64 i))))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) (neg.f64 n)) 100) (neg.f64 i))
(/.f64 (*.f64 (/.f64 (expm1.f64 i) (/.f64 1 n)) 100) i)
(/.f64 (*.f64 (/.f64 n (/.f64 (sqrt.f64 i) (expm1.f64 i))) 100) (sqrt.f64 i))
(/.f64 (*.f64 (/.f64 (*.f64 n (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2)) 100) (cbrt.f64 i))
(/.f64 (*.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) 1) i)
(/.f64 (*.f64 (neg.f64 (*.f64 (expm1.f64 i) (*.f64 100 n))) 1) (neg.f64 i))
(/.f64 (*.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (*.f64 100 (sqrt.f64 (*.f64 n (/.f64 (expm1.f64 i) i))))) (sqrt.f64 i))
(/.f64 (/.f64 (*.f64 100 n) i) (/.f64 1 (expm1.f64 i)))
(/.f64 (/.f64 (*.f64 100 n) 1) (/.f64 i (expm1.f64 i)))
(/.f64 (/.f64 (*.f64 100 n) (*.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) (cbrt.f64 (/.f64 i (expm1.f64 i))))) (cbrt.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 1 (sqrt.f64 (expm1.f64 i)))) (/.f64 i (sqrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) (/.f64 i (cbrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 (sqrt.f64 i) 1)) (/.f64 (sqrt.f64 i) (expm1.f64 i)))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 (sqrt.f64 i) (sqrt.f64 (expm1.f64 i)))) (/.f64 (sqrt.f64 i) (sqrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) (/.f64 (sqrt.f64 i) (cbrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 (pow.f64 (cbrt.f64 i) 2) 1)) (/.f64 (cbrt.f64 i) (expm1.f64 i)))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (expm1.f64 i)))) (/.f64 (cbrt.f64 i) (sqrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) (/.f64 (cbrt.f64 i) (cbrt.f64 (expm1.f64 i))))
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(*.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) (cbrt.f64 i)) (/.f64 (sqrt.f64 (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 i)) i))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (expm1.f64 i)) (sqrt.f64 i)))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 i)) (sqrt.f64 i)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (sqrt.f64 i)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 (expm1.f64 i) i)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) i) (cbrt.f64 (expm1.f64 i)))
(*.f64 (/.f64 1 (/.f64 i (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) (cbrt.f64 (expm1.f64 i)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i))) (cbrt.f64 (/.f64 (expm1.f64 i) i))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i))) (cbrt.f64 (/.f64 (expm1.f64 i) i))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)))) (*.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)))))
(pow.f64 (/.f64 (expm1.f64 i) i) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) 2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3) 1/3)
(pow.f64 (/.f64 i (expm1.f64 i)) -1)
(neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 i)) i))
(neg.f64 (*.f64 (/.f64 (expm1.f64 i) (neg.f64 i)) 1))
(neg.f64 (*.f64 (expm1.f64 i) (/.f64 -1 i)))
(neg.f64 (*.f64 1 (/.f64 (expm1.f64 i) (neg.f64 i))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 i) i)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 i) i))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 i) i)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 i) i)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 i) i)))
Outputs
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 n i) (*.f64 100 n))
(fma.f64 100 n (*.f64 n (*.f64 i 50)))
(*.f64 n (+.f64 100 (*.f64 i 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 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 100 n (*.f64 (*.f64 i i) (*.f64 n 50/3))))
(fma.f64 50 (*.f64 n i) (*.f64 n (+.f64 100 (*.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 100 n))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 100 n (*.f64 (*.f64 i i) (*.f64 n 50/3)))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (*.f64 n (+.f64 100 (*.f64 (*.f64 i i) 50/3)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(+.f64 n (*.f64 (*.f64 1/2 n) i))
(fma.f64 (*.f64 n i) 1/2 n)
(*.f64 n (fma.f64 i 1/2 1))
(+.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 (*.f64 1/2 n) i)))
(fma.f64 (*.f64 n (*.f64 i i)) 1/6 (fma.f64 (*.f64 n i) 1/2 n))
(+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))))
(+.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 (*.f64 n (pow.f64 i 3)) 1/24))))
(+.f64 (fma.f64 (*.f64 n 1/24) (pow.f64 i 3) (*.f64 n (*.f64 i 1/2))) (fma.f64 (*.f64 n 1/6) (*.f64 i i) n))
(+.f64 (*.f64 n (fma.f64 i 1/2 1)) (*.f64 n (*.f64 (*.f64 i i) (+.f64 (*.f64 i 1/24) 1/6))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
1
(+.f64 1 (*.f64 1/2 i))
(+.f64 1 (*.f64 i 1/2))
(fma.f64 i 1/2 1)
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i)))
(fma.f64 1/6 (*.f64 i i) (+.f64 1 (*.f64 i 1/2)))
(fma.f64 (*.f64 i i) 1/6 (fma.f64 i 1/2 1))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (+.f64 (*.f64 1/2 i) (*.f64 1/24 (pow.f64 i 3)))))
(fma.f64 1/6 (*.f64 i i) (+.f64 1 (fma.f64 1/2 i (*.f64 (pow.f64 i 3) 1/24))))
(+.f64 (fma.f64 (*.f64 i i) 1/6 (fma.f64 i 1/2 1)) (*.f64 (pow.f64 i 3) 1/24))
(+.f64 (fma.f64 i 1/2 1) (*.f64 (*.f64 i i) (+.f64 (*.f64 i 1/24) 1/6)))
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i)))) 1)
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(/.f64 n (/.f64 (/.f64 i (expm1.f64 i)) 100))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(/.f64 (*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i)) 1)
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(/.f64 1 (/.f64 (/.f64 i (expm1.f64 i)) (*.f64 100 n)))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(/.f64 (*.f64 100 n) (/.f64 i (expm1.f64 i)))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(/.f64 (*.f64 n (expm1.f64 i)) (/.f64 i 100))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(/.f64 (sqrt.f64 (*.f64 100 n)) (/.f64 (/.f64 i (expm1.f64 i)) (sqrt.f64 (*.f64 100 n))))
(/.f64 (sqrt.f64 (*.f64 100 n)) (/.f64 i (*.f64 (sqrt.f64 (*.f64 100 n)) (expm1.f64 i))))
(*.f64 (sqrt.f64 (*.f64 100 n)) (*.f64 (/.f64 (sqrt.f64 (*.f64 100 n)) i) (expm1.f64 i)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 100 n)) (cbrt.f64 (*.f64 100 n))) (/.f64 (/.f64 i (expm1.f64 i)) (cbrt.f64 (*.f64 100 n))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 100 n)) (cbrt.f64 (*.f64 100 n))) (/.f64 i (expm1.f64 i))) (cbrt.f64 (*.f64 100 n)))
(*.f64 (cbrt.f64 (*.f64 100 n)) (/.f64 (*.f64 (cbrt.f64 (*.f64 100 n)) (cbrt.f64 (*.f64 100 n))) (/.f64 i (expm1.f64 i))))
(/.f64 (*.f64 100 (sqrt.f64 n)) (/.f64 (/.f64 i (expm1.f64 i)) (sqrt.f64 n)))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (/.f64 (expm1.f64 i) i)))))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(cbrt.f64 (pow.f64 (*.f64 n (/.f64 (expm1.f64 i) i)) 3))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3) (pow.f64 n 3)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(expm1.f64 (log1p.f64 (*.f64 n (/.f64 (expm1.f64 i) i))))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(exp.f64 (log.f64 (*.f64 n (/.f64 (expm1.f64 i) i))))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(log1p.f64 (expm1.f64 (*.f64 n (/.f64 (expm1.f64 i) i))))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(+.f64 (/.f64 (exp.f64 i) i) (*.f64 -1 (/.f64 1 i)))
(/.f64 (expm1.f64 i) i)
(+.f64 (/.f64 (exp.f64 i) i) (*.f64 (neg.f64 (sqrt.f64 (/.f64 1 i))) (sqrt.f64 (/.f64 1 i))))
(/.f64 (expm1.f64 i) i)
(+.f64 (/.f64 (exp.f64 i) i) (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 i)) (cbrt.f64 (/.f64 1 i)))) (cbrt.f64 (/.f64 1 i))))
(/.f64 (expm1.f64 i) i)
(+.f64 (*.f64 (/.f64 1 i) (exp.f64 i)) (*.f64 (/.f64 1 i) -1))
(/.f64 (expm1.f64 i) i)
(+.f64 (*.f64 (exp.f64 i) (/.f64 1 i)) (*.f64 -1 (/.f64 1 i)))
(/.f64 (expm1.f64 i) i)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 i) i))) 1)
(/.f64 (expm1.f64 i) i)
(-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))
(/.f64 (expm1.f64 i) i)
(*.f64 (expm1.f64 i) (/.f64 1 i))
(/.f64 (expm1.f64 i) i)
(*.f64 (/.f64 (expm1.f64 i) i) 1)
(/.f64 (expm1.f64 i) i)
(*.f64 1 (/.f64 (expm1.f64 i) i))
(/.f64 (expm1.f64 i) i)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) (sqrt.f64 (/.f64 (expm1.f64 i) i)))
(/.f64 (expm1.f64 i) i)
(*.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 (sqrt.f64 (expm1.f64 i)) i))
(/.f64 (expm1.f64 i) i)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))
(/.f64 (expm1.f64 i) i)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2) (cbrt.f64 (/.f64 (expm1.f64 i) i)))
(/.f64 (expm1.f64 i) i)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (/.f64 (cbrt.f64 (expm1.f64 i)) i))
(/.f64 (expm1.f64 i) i)
(*.f64 (/.f64 1 i) (expm1.f64 i))
(/.f64 (expm1.f64 i) i)
(*.f64 (neg.f64 (expm1.f64 i)) (/.f64 -1 i))
(/.f64 (expm1.f64 i) i)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) i) (sqrt.f64 (expm1.f64 i)))
(/.f64 (expm1.f64 i) i)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) i) (/.f64 (sqrt.f64 (expm1.f64 i)) 1))
(/.f64 (expm1.f64 i) i)
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 i)) i) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))
(/.f64 (expm1.f64 i) i)
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 i)) i) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) 1))
(/.f64 (expm1.f64 i) i)
(*.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (expm1.f64 i) (sqrt.f64 i)))
(*.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (/.f64 1 (sqrt.f64 i)))
(/.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (sqrt.f64 i))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 i)))
(/.f64 (/.f64 (expm1.f64 i) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(*.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (/.f64 1 (sqrt.f64 i)))
(/.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (sqrt.f64 i))
(*.f64 (/.f64 (expm1.f64 i) (cbrt.f64 i)) (/.f64 1 (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 i)))
(/.f64 (/.f64 (expm1.f64 i) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(*.f64 (/.f64 -1 i) (neg.f64 (expm1.f64 i)))
(/.f64 (expm1.f64 i) i)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) 1) (/.f64 (sqrt.f64 (expm1.f64 i)) i))
(/.f64 (expm1.f64 i) i)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (expm1.f64 i)) (cbrt.f64 i)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 i)))
(/.f64 (/.f64 (expm1.f64 i) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) (cbrt.f64 i)) (/.f64 (sqrt.f64 (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 i)))
(/.f64 (/.f64 (expm1.f64 i) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 i)) i))
(/.f64 (expm1.f64 i) i)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (expm1.f64 i)) (sqrt.f64 i)))
(*.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (/.f64 1 (sqrt.f64 i)))
(/.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (sqrt.f64 i))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 i)) (sqrt.f64 i)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (sqrt.f64 i)))
(*.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (/.f64 1 (sqrt.f64 i)))
(/.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (sqrt.f64 i))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 (expm1.f64 i) i)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (pow.f64 (cbrt.f64 i) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) i) (cbrt.f64 (expm1.f64 i)))
(/.f64 (expm1.f64 i) i)
(*.f64 (/.f64 1 (/.f64 i (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) (cbrt.f64 (expm1.f64 i)))
(/.f64 (expm1.f64 i) i)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i))) (cbrt.f64 (/.f64 (expm1.f64 i) i))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i))) (cbrt.f64 (/.f64 (expm1.f64 i) i))))
(/.f64 (expm1.f64 i) i)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)))) (*.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)))))
(/.f64 (expm1.f64 i) i)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)))))
(pow.f64 (/.f64 (expm1.f64 i) i) 1)
(/.f64 (expm1.f64 i) i)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) 2)
(/.f64 (expm1.f64 i) i)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 3)
(/.f64 (expm1.f64 i) i)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3) 1/3)
(/.f64 (expm1.f64 i) i)
(pow.f64 (/.f64 i (expm1.f64 i)) -1)
(/.f64 (expm1.f64 i) i)
(neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))
(/.f64 (expm1.f64 i) i)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 i)) i))
(/.f64 (expm1.f64 i) i)
(neg.f64 (*.f64 (/.f64 (expm1.f64 i) (neg.f64 i)) 1))
(/.f64 (expm1.f64 i) i)
(neg.f64 (*.f64 (expm1.f64 i) (/.f64 -1 i)))
(/.f64 (expm1.f64 i) i)
(neg.f64 (*.f64 1 (/.f64 (expm1.f64 i) (neg.f64 i))))
(/.f64 (expm1.f64 i) i)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 2))
(fabs.f64 (/.f64 (expm1.f64 i) i))
(log.f64 (exp.f64 (/.f64 (expm1.f64 i) i)))
(/.f64 (expm1.f64 i) i)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 i) i))))
(/.f64 (expm1.f64 i) i)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3))
(/.f64 (expm1.f64 i) i)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 i) i)))
(/.f64 (expm1.f64 i) i)
(exp.f64 (log.f64 (/.f64 (expm1.f64 i) i)))
(/.f64 (expm1.f64 i) i)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 i) i)))
(/.f64 (expm1.f64 i) i)

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
0.13%
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
0.2%
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
11.28%
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
Compiler

Compiled 75 to 57 computations (24% saved)

series8.0ms (0%)

Counts
4 → 57
Calls

24 calls:

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

rewrite202.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1716×associate-*l/
960×distribute-lft-in
614×associate-/r*
332×add-sqr-sqrt
318×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015112
1335108
24373108
Stop Event
node limit
Counts
4 → 223
Calls
Call 1
Inputs
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 i (-.f64 1/2 (*.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))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n i) 1/2) (*.f64 (*.f64 n i) (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n i) (/.f64 -1/2 n)) (*.f64 (*.f64 n i) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 (/.f64 -1/2 n) (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/2 n) (*.f64 n i)) (*.f64 1/2 (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 i 1/2)) (*.f64 n (*.f64 i (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 1/2 i)) (*.f64 n (*.f64 (/.f64 -1/2 n) i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 n i) 1/2)) (*.f64 1 (*.f64 (*.f64 n i) (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 1/2 (*.f64 n i))) (*.f64 1 (*.f64 (/.f64 -1/2 n) (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 n i) 1) 1/2) (*.f64 (*.f64 (*.f64 n i) 1) (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 n i) 1) (/.f64 -1/2 n)) (*.f64 (*.f64 (*.f64 n i) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n i) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 n) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (pow.f64 n -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n i) (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) (-.f64 1/2 (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n i) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) 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i) (+.f64 1/2 (/.f64 -1/2 n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n 100 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 100 (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 100 n (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n 100) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 10 (sqrt.f64 n)) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) (sqrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 n 100)) 2) (cbrt.f64 (*.f64 n 100)) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) 2) (cbrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))))))

simplify159.0ms (0.9%)

Algorithm
egg-herbie
Rules
1486×associate-/l*
1144×associate-*r*
958×associate-*l*
692×*-commutative
552×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059615642
1172214476
Stop Event
node limit
Counts
280 → 368
Calls
Call 1
Inputs
(*.f64 -1/2 i)
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 1/2 (*.f64 n i))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 1/2 (*.f64 n i))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 -50 i)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(*.f64 50 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(*.f64 50 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(*.f64 -1/2 (/.f64 i n))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 1/2 i)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 1/2 i)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 -50 i)
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(*.f64 100 n)
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 (*.f64 n i) 1/2) (*.f64 (*.f64 n i) (/.f64 -1/2 n)))
(+.f64 (*.f64 (*.f64 n i) (/.f64 -1/2 n)) (*.f64 (*.f64 n i) 1/2))
(+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 (/.f64 -1/2 n) (*.f64 n i)))
(+.f64 (*.f64 (/.f64 -1/2 n) (*.f64 n i)) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 n (*.f64 i 1/2)) (*.f64 n (*.f64 i (/.f64 -1/2 n))))
(+.f64 (*.f64 n (*.f64 1/2 i)) (*.f64 n (*.f64 (/.f64 -1/2 n) i)))
(+.f64 (*.f64 1 (*.f64 (*.f64 n i) 1/2)) (*.f64 1 (*.f64 (*.f64 n i) (/.f64 -1/2 n))))
(+.f64 (*.f64 1 (*.f64 1/2 (*.f64 n i))) (*.f64 1 (*.f64 (/.f64 -1/2 n) (*.f64 n i))))
(+.f64 (*.f64 (*.f64 (*.f64 n i) 1) 1/2) (*.f64 (*.f64 (*.f64 n i) 1) (/.f64 -1/2 n)))
(+.f64 (*.f64 (*.f64 (*.f64 n i) 1) (/.f64 -1/2 n)) (*.f64 (*.f64 (*.f64 n i) 1) 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) 1)
(/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (/.f64 1 n))
(/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 1)
(/.f64 (*.f64 n i) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 n))))
(/.f64 (*.f64 (sqrt.f64 n) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (pow.f64 n -1/2))
(/.f64 (*.f64 (*.f64 n i) (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 (*.f64 n i) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (cbrt.f64 (/.f64 1 n)))
(/.f64 (*.f64 (neg.f64 n) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) -1)
(/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) (*.f64 n i)) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3))) (*.f64 n i)) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (/.f64 -1/2 n) (/.f64 -1/2 n))) (*.f64 n i)) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 n) 3)) (*.f64 n i)) (+.f64 1/4 (-.f64 (*.f64 (/.f64 -1/2 n) (/.f64 -1/2 n)) (*.f64 1/2 (/.f64 -1/2 n)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) (*.f64 n i)) (neg.f64 (-.f64 1/2 (/.f64 -1/2 n))))
(/.f64 (*.f64 (neg.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (*.f64 n i)) (neg.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n)))))
(/.f64 (*.f64 (*.f64 i (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) n) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 (*.f64 i (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) n) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n))))
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) i) n) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 (*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3))) i) n) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n))))
(/.f64 (*.f64 (*.f64 (*.f64 n i) (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) 1) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 (*.f64 (*.f64 n i) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) 1) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n))))
(/.f64 (/.f64 (*.f64 (*.f64 n i) (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) 1) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (/.f64 (*.f64 (*.f64 n i) (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 n)))) (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 n))))
(/.f64 (/.f64 (*.f64 (*.f64 n i) (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) (*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 -1/2 n))) (cbrt.f64 (-.f64 1/2 (/.f64 -1/2 n))))) (cbrt.f64 (-.f64 1/2 (/.f64 -1/2 n))))
(/.f64 (/.f64 (*.f64 (*.f64 n i) (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) (+.f64 1 (/.f64 1 n))) 1/2)
(/.f64 (/.f64 (*.f64 (*.f64 n i) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) 1) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n))))
(/.f64 (/.f64 (*.f64 (*.f64 n i) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (sqrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n))))) (sqrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n)))))
(/.f64 (/.f64 (*.f64 (*.f64 n i) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (*.f64 (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n)))) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n)))))) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n)))))
(pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 1)
(pow.f64 (sqrt.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 3)
(pow.f64 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2))
(log.f64 (pow.f64 (exp.f64 n) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3))
(cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(exp.f64 (log.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 1))
(log1p.f64 (expm1.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(+.f64 (*.f64 100 (*.f64 (*.f64 n i) 1/2)) (*.f64 100 (*.f64 (*.f64 n i) (/.f64 -1/2 n))))
(+.f64 (*.f64 100 (*.f64 1/2 (*.f64 n i))) (*.f64 100 (*.f64 (/.f64 -1/2 n) (*.f64 n i))))
(+.f64 (*.f64 (*.f64 n 100) (*.f64 i 1/2)) (*.f64 (*.f64 n 100) (*.f64 i (/.f64 -1/2 n))))
(+.f64 (*.f64 (*.f64 n 100) (*.f64 1/2 i)) (*.f64 (*.f64 n 100) (*.f64 (/.f64 -1/2 n) i)))
(+.f64 (*.f64 (*.f64 100 (*.f64 n i)) 1/2) (*.f64 (*.f64 100 (*.f64 n i)) (/.f64 -1/2 n)))
(+.f64 (*.f64 (*.f64 100 (*.f64 n i)) (/.f64 -1/2 n)) (*.f64 (*.f64 100 (*.f64 n i)) 1/2))
(+.f64 (*.f64 (*.f64 (*.f64 n 100) i) 1/2) (*.f64 (*.f64 (*.f64 n 100) i) (/.f64 -1/2 n)))
(+.f64 (*.f64 (*.f64 (*.f64 n 100) i) (/.f64 -1/2 n)) (*.f64 (*.f64 (*.f64 n 100) i) 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))) 1)
(/.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 1)
(/.f64 (*.f64 1 (*.f64 100 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (/.f64 1 n))
(/.f64 (*.f64 (sqrt.f64 n) (*.f64 100 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (pow.f64 n -1/2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 100 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (cbrt.f64 (/.f64 1 n)))
(/.f64 (*.f64 (neg.f64 n) (*.f64 100 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) -1)
(/.f64 (*.f64 1 (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 100)) (/.f64 1 n))
(/.f64 (*.f64 (sqrt.f64 n) (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 100)) (pow.f64 n -1/2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 100)) (cbrt.f64 (/.f64 1 n)))
(/.f64 (*.f64 (neg.f64 n) (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 100)) -1)
(/.f64 (*.f64 (*.f64 i (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) (*.f64 n 100)) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 (*.f64 i (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (*.f64 n 100)) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n))))
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) i) (*.f64 n 100)) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 (*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3))) i) (*.f64 n 100)) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n))))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3)))) (cbrt.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3))))) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))) (cbrt.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 n 100) 2) (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2)) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))
(/.f64 (-.f64 (*.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3))) (*.f64 (*.f64 1000000 (pow.f64 n 3)) (*.f64 1000000 (pow.f64 n 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))) (-.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2)) (*.f64 (pow.f64 (*.f64 n 100) 2) (pow.f64 (*.f64 n 100) 2))) (*.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)) (+.f64 (pow.f64 (*.f64 n 100) 2) (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) 3) (pow.f64 (*.f64 1000000 (pow.f64 n 3)) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))) (+.f64 (*.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3))) (-.f64 (*.f64 (*.f64 1000000 (pow.f64 n 3)) (*.f64 1000000 (pow.f64 n 3))) (*.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) 3) (pow.f64 (pow.f64 (*.f64 n 100) 2) 3)) (*.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)) (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 n 100) 2) (pow.f64 (*.f64 n 100) 2)) (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2))) (neg.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))))
(/.f64 (neg.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2)) 1) (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)))
(/.f64 (*.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3))) 1) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 n 100) 2) (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2)) 1) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2))) 1) (neg.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3)))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2))) (*.f64 10 (sqrt.f64 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)))) (sqrt.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3)))) (*.f64 10 (sqrt.f64 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2))) (pow.f64 (cbrt.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))) 2)) (cbrt.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3)))) (pow.f64 (cbrt.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (*.f64 n n)) 100) (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))
(/.f64 (*.f64 (+.f64 (pow.f64 n 3) (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) 100) (+.f64 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (-.f64 (*.f64 n n) (*.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2)) (*.f64 (pow.f64 (*.f64 n 100) 2) (pow.f64 (*.f64 n 100) 2))) (/.f64 1/100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))) (+.f64 (pow.f64 (*.f64 n 100) 2) (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) 3) (pow.f64 (pow.f64 (*.f64 n 100) 2) 3)) (/.f64 1/100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))) (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 n 100) 2) (pow.f64 (*.f64 n 100) 2)) (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3))) (*.f64 (*.f64 1000000 (pow.f64 n 3)) (*.f64 1000000 (pow.f64 n 3)))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))))) (-.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) 3) (pow.f64 (*.f64 1000000 (pow.f64 n 3)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))))) (+.f64 (*.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3))) (-.f64 (*.f64 (*.f64 1000000 (pow.f64 n 3)) (*.f64 1000000 (pow.f64 n 3))) (*.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2)) 1) (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2)) 100) (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2)) (sqrt.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)))) (sqrt.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2)) (*.f64 (cbrt.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))) (cbrt.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))))) (cbrt.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2)) (+.f64 (*.f64 10 (sqrt.f64 n)) (sqrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))) (-.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 10 (sqrt.f64 n))))
(/.f64 (/.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3))) 1) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 (/.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))))
(/.f64 (/.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))))
(pow.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)) 1)
(pow.f64 (*.f64 10 (sqrt.f64 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))) 2)
(pow.f64 (cbrt.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))) 3)
(pow.f64 (pow.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)) 2))
(log.f64 (pow.f64 (exp.f64 100) (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)))))
(cbrt.f64 (pow.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)) 3))
(expm1.f64 (log1p.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))))
(exp.f64 (log.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))))
(exp.f64 (*.f64 (log.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))) 1))
(log1p.f64 (expm1.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))))
(fma.f64 n 100 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))
(fma.f64 1 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 n 100))
(fma.f64 1 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))
(fma.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 100 (*.f64 n 100))
(fma.f64 100 n (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))
(fma.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))
(fma.f64 (*.f64 n 100) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 n 100))
(fma.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 10 (sqrt.f64 n)) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) (sqrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 n 100)) 2) (cbrt.f64 (*.f64 n 100)) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) 2) (cbrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))
Outputs
(*.f64 -1/2 i)
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 1/2 (*.f64 n i))
(*.f64 1/2 (*.f64 i n))
(*.f64 i (*.f64 1/2 n))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 1/2 (*.f64 n i))
(*.f64 1/2 (*.f64 i n))
(*.f64 i (*.f64 1/2 n))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 -50 i)
(*.f64 i -50)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 i n) 50)
(*.f64 i (*.f64 n 50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 i n) 50)
(*.f64 i (*.f64 n 50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 -1/2 (/.f64 i n))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 i)
(*.f64 i 1/2)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 i)
(*.f64 i 1/2)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 -50 i)
(*.f64 i -50)
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 (neg.f64 n) (fma.f64 -50 i -100))
(*.f64 (fma.f64 -50 i -100) (neg.f64 n))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(fma.f64 -1 (*.f64 n (fma.f64 -50 i -100)) (*.f64 i -50))
(-.f64 (*.f64 i -50) (*.f64 n (fma.f64 -50 i -100)))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(fma.f64 -1 (*.f64 n (fma.f64 -50 i -100)) (*.f64 i -50))
(-.f64 (*.f64 i -50) (*.f64 n (fma.f64 -50 i -100)))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(fma.f64 -1 (*.f64 n (fma.f64 -50 i -100)) (*.f64 i -50))
(-.f64 (*.f64 i -50) (*.f64 n (fma.f64 -50 i -100)))
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n)))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n)))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(+.f64 (*.f64 (*.f64 n i) 1/2) (*.f64 (*.f64 n i) (/.f64 -1/2 n)))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 (*.f64 n i) (/.f64 -1/2 n)) (*.f64 (*.f64 n i) 1/2))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 (/.f64 -1/2 n) (*.f64 n i)))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 (/.f64 -1/2 n) (*.f64 n i)) (*.f64 1/2 (*.f64 n i)))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 n (*.f64 i 1/2)) (*.f64 n (*.f64 i (/.f64 -1/2 n))))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 n (*.f64 1/2 i)) (*.f64 n (*.f64 (/.f64 -1/2 n) i)))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1 (*.f64 (*.f64 n i) 1/2)) (*.f64 1 (*.f64 (*.f64 n i) (/.f64 -1/2 n))))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1 (*.f64 1/2 (*.f64 n i))) (*.f64 1 (*.f64 (/.f64 -1/2 n) (*.f64 n i))))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 (*.f64 (*.f64 n i) 1) 1/2) (*.f64 (*.f64 (*.f64 n i) 1) (/.f64 -1/2 n)))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 (*.f64 (*.f64 n i) 1) (/.f64 -1/2 n)) (*.f64 (*.f64 (*.f64 n i) 1) 1/2))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) 1)
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (/.f64 1 n))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 1)
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 n i) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 (sqrt.f64 n) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (pow.f64 n -1/2))
(/.f64 (sqrt.f64 n) (/.f64 (pow.f64 n -1/2) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
(/.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (sqrt.f64 n))) (pow.f64 n -1/2))
(/.f64 (*.f64 (*.f64 n i) (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 (*.f64 i n) (+.f64 1/4 (*.f64 -1/4 (pow.f64 n -2)))) (-.f64 1/2 (/.f64 -1/2 n)))
(*.f64 (*.f64 i (/.f64 (+.f64 1/4 (*.f64 (pow.f64 n -2) -1/4)) (+.f64 1/2 (/.f64 1/2 n)))) n)
(/.f64 (*.f64 (*.f64 n i) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n))))
(/.f64 (*.f64 i n) (/.f64 (+.f64 1/4 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 n))) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))))
(*.f64 (/.f64 (*.f64 i n) (+.f64 1/4 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 n)))) (+.f64 1/8 (/.f64 -1/8 (pow.f64 n 3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (cbrt.f64 (/.f64 1 n)))
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (cbrt.f64 (/.f64 1 n)) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 n)) i) (+.f64 1/2 (/.f64 -1/2 n))))
(/.f64 (*.f64 (neg.f64 n) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) -1)
(/.f64 (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n)) -1)
(*.f64 (/.f64 (neg.f64 n) -1) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) (*.f64 n i)) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 (*.f64 i n) (+.f64 1/4 (*.f64 -1/4 (pow.f64 n -2)))) (-.f64 1/2 (/.f64 -1/2 n)))
(*.f64 (*.f64 i (/.f64 (+.f64 1/4 (*.f64 (pow.f64 n -2) -1/4)) (+.f64 1/2 (/.f64 1/2 n)))) n)
(/.f64 (*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3))) (*.f64 n i)) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n))))
(/.f64 (*.f64 i n) (/.f64 (+.f64 1/4 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 n))) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))))
(*.f64 (/.f64 (*.f64 i n) (+.f64 1/4 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 n)))) (+.f64 1/8 (/.f64 -1/8 (pow.f64 n 3))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (/.f64 -1/2 n) (/.f64 -1/2 n))) (*.f64 n i)) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (-.f64 1/4 (*.f64 (/.f64 -1/2 n) (/.f64 -1/2 n))) (/.f64 (-.f64 1/2 (/.f64 -1/2 n)) (*.f64 i n)))
(/.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 n) n)) (/.f64 (+.f64 1/2 (/.f64 1/2 n)) (*.f64 i n)))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 n) 3)) (*.f64 n i)) (+.f64 1/4 (-.f64 (*.f64 (/.f64 -1/2 n) (/.f64 -1/2 n)) (*.f64 1/2 (/.f64 -1/2 n)))))
(/.f64 (*.f64 (*.f64 i n) (+.f64 1/8 (/.f64 -1/8 (pow.f64 n 3)))) (+.f64 1/4 (*.f64 (/.f64 -1/2 n) (-.f64 (/.f64 -1/2 n) 1/2))))
(/.f64 (*.f64 i n) (/.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 n) (/.f64 (/.f64 1/4 n) n))) (+.f64 1/8 (/.f64 -1/8 (pow.f64 n 3)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) (*.f64 n i)) (neg.f64 (-.f64 1/2 (/.f64 -1/2 n))))
(/.f64 (*.f64 (*.f64 i n) (neg.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 n -2))))) (neg.f64 (-.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (/.f64 (-.f64 -1/4 (*.f64 (pow.f64 n -2) -1/4)) (+.f64 -1/2 (/.f64 -1/2 n))) (*.f64 i n))
(/.f64 (*.f64 (neg.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (*.f64 n i)) (neg.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n)))))
(/.f64 (neg.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (/.f64 (neg.f64 (+.f64 1/4 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 n)))) (*.f64 i n)))
(*.f64 (/.f64 (+.f64 -1/8 (/.f64 1/8 (pow.f64 n 3))) (-.f64 -1/4 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 n)))) (*.f64 i n))
(/.f64 (*.f64 (*.f64 i (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) n) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 (*.f64 i n) (+.f64 1/4 (*.f64 -1/4 (pow.f64 n -2)))) (-.f64 1/2 (/.f64 -1/2 n)))
(*.f64 (*.f64 i (/.f64 (+.f64 1/4 (*.f64 (pow.f64 n -2) -1/4)) (+.f64 1/2 (/.f64 1/2 n)))) n)
(/.f64 (*.f64 (*.f64 i (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) n) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 1/4 n))))
(/.f64 (*.f64 i n) (/.f64 (+.f64 1/4 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 n))) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))))
(*.f64 (/.f64 (*.f64 i n) (+.f64 1/4 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 n)))) (+.f64 1/8 (/.f64 -1/8 (pow.f64 n 3))))
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) i) n) (-.f64 1/2 (/.f64 -1/2 n)))
(/.f64 (*.f64 (*.f64 i n) (+.f64 1/4 (*.f64 -1/4 (pow.f64 n -2)))) (-.f64 1/2 (/.f64 -1/2 n)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2)) (sqrt.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)))) (sqrt.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i n) 100)) 2) (pow.f64 (*.f64 n 100) 2)) (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n))) 2) (*.f64 n (*.f64 n 10000))) (+.f64 (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n))) (*.f64 n -100)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2)) (*.f64 (cbrt.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))) (cbrt.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))))) (cbrt.f64 (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i n) 100)) 2) (pow.f64 (*.f64 n 100) 2)) (*.f64 100 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n))) 2) (*.f64 n (*.f64 n 10000))) (+.f64 (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n))) (*.f64 n -100)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (pow.f64 (*.f64 n 100) 2)) (+.f64 (*.f64 10 (sqrt.f64 n)) (sqrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))) (-.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 10 (sqrt.f64 n))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i n) 100)) 2) (pow.f64 (*.f64 n 100) 2)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i n) 100))) (*.f64 -10 (sqrt.f64 n))) (fma.f64 10 (sqrt.f64 n) (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i n) 100))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n))) 2) (*.f64 n (*.f64 n 10000))) (*.f64 (fma.f64 10 (sqrt.f64 n) (sqrt.f64 (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n))))) (+.f64 (sqrt.f64 (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n)))) (*.f64 (sqrt.f64 n) -10))))
(/.f64 (/.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3))) 1) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 (*.f64 1000000 (+.f64 (pow.f64 n 3) (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3))) (+.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i n) 100)) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i n) 100))))))
(/.f64 1000000 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n))) 2) (*.f64 n (*.f64 100 (-.f64 (*.f64 n 100) (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n))))))) (+.f64 (pow.f64 n 3) (pow.f64 (*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n))) 3))))
(/.f64 (/.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))))
(/.f64 (*.f64 1000000 (+.f64 (pow.f64 n 3) (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3))) (+.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i n) 100)) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i n) 100))))))
(/.f64 1000000 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n))) 2) (*.f64 n (*.f64 100 (-.f64 (*.f64 n 100) (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n))))))) (+.f64 (pow.f64 n 3) (pow.f64 (*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n))) 3))))
(/.f64 (/.f64 (+.f64 (*.f64 1000000 (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)) (*.f64 1000000 (pow.f64 n 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))))))
(/.f64 (*.f64 1000000 (+.f64 (pow.f64 n 3) (pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3))) (+.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i n) 100)) 2) (*.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i n) 100))))))
(/.f64 1000000 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n))) 2) (*.f64 n (*.f64 100 (-.f64 (*.f64 n 100) (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n))))))) (+.f64 (pow.f64 n 3) (pow.f64 (*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n))) 3))))
(pow.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)) 1)
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(pow.f64 (*.f64 10 (sqrt.f64 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))) 2)
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(pow.f64 (cbrt.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))) 3)
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(pow.f64 (pow.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)) 3) 1/3)
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(sqrt.f64 (pow.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)) 2))
(sqrt.f64 (pow.f64 (*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)) 2))
(fabs.f64 (*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))
(log.f64 (pow.f64 (exp.f64 100) (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)))
(*.f64 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n) (log.f64 (exp.f64 100)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(cbrt.f64 (pow.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)) 3))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(expm1.f64 (log1p.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(exp.f64 (log.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(exp.f64 (*.f64 (log.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))) 1))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(log1p.f64 (expm1.f64 (*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(fma.f64 n 100 (*.f64 (*.f64 (*.f64 n 100) 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 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(fma.f64 1 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 n 100))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(fma.f64 1 (*.f64 n 100) (*.f64 (*.f64 (*.f64 n 100) 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 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(fma.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 100 (*.f64 n 100))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(fma.f64 100 n (*.f64 (*.f64 (*.f64 n 100) 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 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(fma.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(fma.f64 (*.f64 n 100) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 n 100))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(fma.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 10 (sqrt.f64 n)) (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n))))
(fma.f64 (*.f64 (sqrt.f64 n) 10) (*.f64 (sqrt.f64 n) 10) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i n) 100)))
(+.f64 (*.f64 (*.f64 i n) (+.f64 50 (/.f64 -50 n))) (*.f64 100 (*.f64 (sqrt.f64 n) (sqrt.f64 n))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) (sqrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 n 100)) 2) (cbrt.f64 (*.f64 n 100)) (*.f64 (*.f64 (*.f64 n 100) 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 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) 2) (cbrt.f64 (*.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))

localize81.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
6.93%
(fma.f64 100 (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
11.28%
(*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))
12.51%
(*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))))
13.48%
(*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
Compiler

Compiled 147 to 91 computations (38.1% saved)

series8.0ms (0%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
i
@inf
(fma.f64 100 (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
1.0ms
i
@0
(*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
1.0ms
i
@inf
(*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))))
0.0ms
n
@-inf
(fma.f64 100 (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
0.0ms
n
@0
(*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))

rewrite119.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
554×add-sqr-sqrt
532×pow1
532×*-un-lft-identity
526×+-commutative
522×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023206
1540192
27742192
Stop Event
node limit
Counts
4 → 105
Calls
Call 1
Inputs
(*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))
(*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 100 (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 i i) (*.f64 (*.f64 n n) 3)) (*.f64 i (*.f64 i (+.f64 1/6 (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i (*.f64 i (+.f64 1/6 (/.f64 -1/2 n)))) (/.f64 (*.f64 i i) (*.f64 (*.f64 n n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 i i) (*.f64 (*.f64 n n) 3)) 1) (*.f64 (*.f64 i (*.f64 i (+.f64 1/6 (/.f64 -1/2 n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 i (*.f64 i (+.f64 1/6 (/.f64 -1/2 n)))) 1) (*.f64 (/.f64 (*.f64 i i) (*.f64 (*.f64 n n) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 (*.f64 n n) 3)) (*.f64 (*.f64 i i) 1/6)) (*.f64 (*.f64 i i) (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 (*.f64 n n) 3)) (*.f64 1/6 (*.f64 i i))) (*.f64 (/.f64 -1/2 n) (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 i i) 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simplify165.0ms (0.9%)

Algorithm
egg-herbie
Rules
1172×associate-*r/
882×associate-*l/
800×associate-*l*
774×associate-*r*
750×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036111063
1110710559
2481110557
Stop Event
node limit
Counts
201 → 240
Calls
Call 1
Inputs
(*.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 (pow.f64 i 2) (-.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 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 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 (pow.f64 i 2) (-.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 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 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 (pow.f64 i 2) (-.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 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 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 (pow.f64 i 2) (-.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 (+.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 2) (pow.f64 n 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))))
(*.f64 1/6 (pow.f64 i 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/6 (pow.f64 i 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))))
(*.f64 1/6 (pow.f64 i 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/6 (pow.f64 i 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (pow.f64 i 2)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (pow.f64 i 2))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (pow.f64 i 2))))
(*.f64 1/6 (*.f64 n (pow.f64 i 2)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 -1/2 (pow.f64 i 2)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (pow.f64 i 2))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (pow.f64 i 2))))
(*.f64 1/6 (*.f64 n (pow.f64 i 2)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 -1/2 (pow.f64 i 2)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (pow.f64 i 2))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (pow.f64 i 2))))
(*.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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(*.f64 -1/2 i)
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 1/2 (*.f64 n i))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 1/2 (*.f64 n i))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(+.f64 (*.f64 -50 (pow.f64 i 2)) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 -50 i)))
(+.f64 (*.f64 -50 (pow.f64 i 2)) (+.f64 (*.f64 n (+.f64 (*.f64 100 (+.f64 1 (*.f64 1/2 i))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 -50 i))))
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(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 100 (*.f64 (*.f64 i i) n)) (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n))) 1) (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i n)) 100)) (*.f64 n 100))
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 100 (*.f64 (*.f64 i i) n)) (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n))) 1) (*.f64 n 100)) (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i n)) 100))
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 100 (*.f64 (*.f64 i i) n)) (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n))) 1) (*.f64 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i n)) 100) 1)) (*.f64 (*.f64 n 100) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))))) 1)
(*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))
(*.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))) 1)
(*.f64 1 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))))
(*.f64 (sqrt.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))) (sqrt.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))))
(*.f64 (cbrt.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))) (cbrt.f64 (pow.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))) 2)) (cbrt.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 100 (*.f64 (*.f64 i i) n)) (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n))) (*.f64 (*.f64 100 (*.f64 (*.f64 i i) n)) (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)))) (*.f64 (pow.f64 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n) 2) 10000)) (-.f64 (*.f64 (*.f64 100 (*.f64 (*.f64 i i) n)) (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n))) (*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))))
(/.f64 (+.f64 (pow.f64 (*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)) 3) (pow.f64 (*.f64 (*.f64 100 (*.f64 (*.f64 i i) n)) (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n))) 3)) (+.f64 (*.f64 (*.f64 (*.f64 100 (*.f64 (*.f64 i i) n)) (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n))) (*.f64 (*.f64 100 (*.f64 (*.f64 i i) n)) (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)))) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n) 2) 10000) (*.f64 (*.f64 (*.f64 100 (*.f64 (*.f64 i i) n)) (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n))) (*.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))))))
(pow.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))) 1)
(pow.f64 (sqrt.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))) 2)
(pow.f64 (cbrt.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))) 3)
(pow.f64 (pow.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))) 2))
(log.f64 (exp.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))))))
(cbrt.f64 (pow.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))) 3))
(expm1.f64 (log1p.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))))
(exp.f64 (log.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))))
(exp.f64 (*.f64 (log.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))) 1))
(log1p.f64 (expm1.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))))
Outputs
(*.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 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.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 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.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 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.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 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.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 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.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 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.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 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.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 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.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 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.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 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.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 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.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 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(/.f64 (*.f64 1/3 (*.f64 i i)) (*.f64 n n))
(*.f64 1/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 1/3 (*.f64 (/.f64 (/.f64 i n) n) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (/.f64 (*.f64 1/3 (*.f64 i i)) (*.f64 n n)))
(fma.f64 i (*.f64 i (/.f64 -1/2 n)) (*.f64 1/3 (*.f64 (/.f64 i n) (/.f64 i n))))
(fma.f64 i (*.f64 i (/.f64 -1/2 n)) (*.f64 1/3 (*.f64 (/.f64 (/.f64 i n) n) i)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.f64 1/6 (pow.f64 i 2))
(*.f64 (*.f64 1/6 i) i)
(*.f64 i (*.f64 i 1/6))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/6 (pow.f64 i 2)))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (*.f64 (*.f64 1/6 i) i))
(*.f64 (*.f64 i i) (+.f64 1/6 (/.f64 -1/2 n)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.f64 1/6 (pow.f64 i 2))
(*.f64 (*.f64 1/6 i) i)
(*.f64 i (*.f64 i 1/6))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/6 (pow.f64 i 2)))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (*.f64 (*.f64 1/6 i) i))
(*.f64 (*.f64 i i) (+.f64 1/6 (/.f64 -1/2 n)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 1/3 n) n) (-.f64 1/6 (/.f64 1/2 n))) (*.f64 i i))
(*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 1/3 (/.f64 n (*.f64 i i)))
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (pow.f64 i 2)))
(fma.f64 1/3 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (*.f64 i i)))
(fma.f64 -1/2 (*.f64 i i) (/.f64 1/3 (/.f64 n (*.f64 i i))))
(fma.f64 -1/2 (*.f64 i i) (*.f64 (*.f64 i i) (/.f64 1/3 n)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (pow.f64 i 2))))
(fma.f64 1/6 (*.f64 i (*.f64 i n)) (fma.f64 1/3 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (*.f64 i i))))
(+.f64 (/.f64 1/3 (/.f64 n (*.f64 i i))) (*.f64 (*.f64 i i) (+.f64 -1/2 (*.f64 n 1/6))))
(+.f64 (*.f64 (*.f64 i i) (/.f64 1/3 n)) (*.f64 (*.f64 i i) (+.f64 -1/2 (*.f64 n 1/6))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (pow.f64 i 2))))
(fma.f64 1/6 (*.f64 i (*.f64 i n)) (fma.f64 1/3 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (*.f64 i i))))
(+.f64 (/.f64 1/3 (/.f64 n (*.f64 i i))) (*.f64 (*.f64 i i) (+.f64 -1/2 (*.f64 n 1/6))))
(+.f64 (*.f64 (*.f64 i i) (/.f64 1/3 n)) (*.f64 (*.f64 i i) (+.f64 -1/2 (*.f64 n 1/6))))
(*.f64 1/6 (*.f64 n (pow.f64 i 2)))
(*.f64 (*.f64 1/6 n) (*.f64 i i))
(*.f64 1/6 (*.f64 n (*.f64 i i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 -1/2 (pow.f64 i 2)))
(fma.f64 1/6 (*.f64 i (*.f64 i n)) (*.f64 -1/2 (*.f64 i i)))
(*.f64 (*.f64 i i) (+.f64 -1/2 (*.f64 n 1/6)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (pow.f64 i 2))))
(fma.f64 1/6 (*.f64 i (*.f64 i n)) (fma.f64 1/3 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (*.f64 i i))))
(+.f64 (/.f64 1/3 (/.f64 n (*.f64 i i))) (*.f64 (*.f64 i i) (+.f64 -1/2 (*.f64 n 1/6))))
(+.f64 (*.f64 (*.f64 i i) (/.f64 1/3 n)) (*.f64 (*.f64 i i) (+.f64 -1/2 (*.f64 n 1/6))))
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(*.f64 100 (fma.f64 i (*.f64 i (*.f64 n (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))) (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)))
(pow.f64 (sqrt.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))) 2)
(fma.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n) (*.f64 100 (*.f64 (*.f64 i (*.f64 i n)) (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))))
(*.f64 100 (fma.f64 i (*.f64 i (*.f64 n (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))) (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)))
(pow.f64 (cbrt.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))) 3)
(fma.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n) (*.f64 100 (*.f64 (*.f64 i (*.f64 i n)) (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))))
(*.f64 100 (fma.f64 i (*.f64 i (*.f64 n (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))) (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)))
(pow.f64 (pow.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))) 3) 1/3)
(fma.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n) (*.f64 100 (*.f64 (*.f64 i (*.f64 i n)) (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))))
(*.f64 100 (fma.f64 i (*.f64 i (*.f64 n (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))) (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)))
(sqrt.f64 (pow.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))) 2))
(sqrt.f64 (pow.f64 (*.f64 100 (fma.f64 (*.f64 i i) (*.f64 n (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6))) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))) 2))
(fabs.f64 (*.f64 100 (fma.f64 i (*.f64 i (*.f64 n (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))) (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n))))
(log.f64 (exp.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))))
(fma.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n) (*.f64 100 (*.f64 (*.f64 i (*.f64 i n)) (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))))
(*.f64 100 (fma.f64 i (*.f64 i (*.f64 n (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))) (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))))))
(fma.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n) (*.f64 100 (*.f64 (*.f64 i (*.f64 i n)) (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))))
(*.f64 100 (fma.f64 i (*.f64 i (*.f64 n (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))) (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)))
(cbrt.f64 (pow.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n))) 3))
(fma.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n) (*.f64 100 (*.f64 (*.f64 i (*.f64 i n)) (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))))
(*.f64 100 (fma.f64 i (*.f64 i (*.f64 n (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))) (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)))
(expm1.f64 (log1p.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))))
(fma.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n) (*.f64 100 (*.f64 (*.f64 i (*.f64 i n)) (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))))
(*.f64 100 (fma.f64 i (*.f64 i (*.f64 n (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))) (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)))
(exp.f64 (log.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))))
(fma.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n) (*.f64 100 (*.f64 (*.f64 i (*.f64 i n)) (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))))
(*.f64 100 (fma.f64 i (*.f64 i (*.f64 n (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))) (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)))
(exp.f64 (*.f64 (log.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))) 1))
(fma.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n) (*.f64 100 (*.f64 (*.f64 i (*.f64 i n)) (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))))
(*.f64 100 (fma.f64 i (*.f64 i (*.f64 n (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))) (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)))
(log1p.f64 (expm1.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) n)) (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n)))))
(fma.f64 100 (fma.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)) n) (*.f64 100 (*.f64 (*.f64 i (*.f64 i n)) (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))))
(*.f64 100 (fma.f64 i (*.f64 i (*.f64 n (+.f64 (/.f64 -1/2 n) (fma.f64 1/3 (pow.f64 n -2) 1/6)))) (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)))

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.07%
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) i))
0.08%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) i)))
0.1%
(*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))
0.38%
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
Compiler

Compiled 100 to 72 computations (28% saved)

series146.0ms (0.8%)

Counts
4 → 88
Calls

24 calls:

TimeVariablePointExpression
41.0ms
n
@0
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
26.0ms
n
@-inf
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
19.0ms
i
@0
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
12.0ms
n
@inf
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
11.0ms
n
@0
(*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))

rewrite120.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1392×associate-/l*
940×distribute-lft-in
556×associate-/r/
394×associate-/l/
356×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017148
1360144
24692120
Stop Event
node limit
Counts
4 → 205
Calls
Call 1
Inputs
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
(*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) i))
Outputs
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simplify195.0ms (1.1%)

Algorithm
egg-herbie
Rules
1572×associate-+l-
1300×associate-+r-
664×fma-def
638×associate-*r*
496×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058916131
1155714363
2649714333
Stop Event
node limit
Counts
293 → 390
Calls
Call 1
Inputs
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(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 2) 3) (pow.f64 (pow.f64 (log.f64 (/.f64 -1 i)) 2) 3)) (*.f64 (log.f64 (*.f64 (/.f64 -1 n) (/.f64 -1 i))) (+.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 2) (pow.f64 (log.f64 (/.f64 -1 n)) 2)) (+.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 i)) 2) (pow.f64 (log.f64 (/.f64 -1 i)) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 2) (pow.f64 (log.f64 (/.f64 -1 i)) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 2) (pow.f64 (log.f64 (/.f64 -1 i)) 2))) (neg.f64 (log.f64 (*.f64 (/.f64 -1 n) (/.f64 -1 i)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 3) (pow.f64 (log.f64 (/.f64 -1 i)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 2) (*.f64 (log.f64 (/.f64 -1 i)) (log.f64 (*.f64 (/.f64 -1 n) (/.f64 -1 i)))))))
(pow.f64 (log.f64 (*.f64 (/.f64 1 n) i)) 1)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1 n) i))) 2)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 n) i))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 n) i)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 n) i)) 2))
(log.f64 (*.f64 (/.f64 1 n) i))
(log.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1 n) i) 1)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 n) i)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 n) i))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 n) i))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 n) i))) 1))
(log1p.f64 (-.f64 (*.f64 (/.f64 1 n) i) 1))
(fma.f64 1 (log.f64 (/.f64 -1 n)) (log.f64 (neg.f64 i)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 -1 n))) (sqrt.f64 (log.f64 (/.f64 -1 n))) (log.f64 (neg.f64 i)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 n))) 2) (cbrt.f64 (log.f64 (/.f64 -1 n))) (log.f64 (neg.f64 i)))
(+.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i))) (*.f64 n (fma.f64 (log.f64 (neg.f64 i)) 1 (log.f64 (/.f64 -1 i)))))
(+.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i))) (*.f64 n (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (/.f64 -1 i)))) (sqrt.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 i)))))
(+.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i))) (*.f64 n (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 -1 i)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 i))) 2) (log.f64 (/.f64 -1 i)))))
(+.f64 (*.f64 n (log.f64 (/.f64 -1 n))) (*.f64 n (log.f64 (neg.f64 i))))
(+.f64 (*.f64 n (log.f64 (/.f64 -1 n))) (*.f64 n (*.f64 (log.f64 (neg.f64 i)) 1)))
(+.f64 (*.f64 n (log.f64 (neg.f64 i))) (*.f64 n (log.f64 (/.f64 -1 n))))
(+.f64 (*.f64 (log.f64 (/.f64 -1 n)) n) (*.f64 (log.f64 (neg.f64 i)) n))
(+.f64 (*.f64 (log.f64 (neg.f64 i)) n) (*.f64 (log.f64 (/.f64 -1 n)) n))
(+.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 -1))) (*.f64 n (log.f64 i)))
(+.f64 (*.f64 1 (*.f64 n (log.f64 (/.f64 -1 n)))) (*.f64 1 (*.f64 n (log.f64 (neg.f64 i)))))
(+.f64 (*.f64 1 (*.f64 (log.f64 (/.f64 -1 n)) n)) (*.f64 1 (*.f64 (log.f64 (neg.f64 i)) n)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i))))) 1)
(/.f64 n (/.f64 1 (log.f64 (*.f64 (/.f64 1 n) i))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 2) (pow.f64 (log.f64 (/.f64 -1 i)) 2)) (/.f64 (log.f64 (*.f64 (/.f64 -1 n) (/.f64 -1 i))) n))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 3) (pow.f64 (log.f64 (/.f64 -1 i)) 3)) (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 2) (*.f64 (log.f64 (/.f64 -1 i)) (log.f64 (*.f64 (/.f64 -1 n) (/.f64 -1 i))))) n))
(/.f64 (*.f64 n (-.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 2) (pow.f64 (log.f64 (/.f64 -1 i)) 2))) (log.f64 (*.f64 (/.f64 -1 n) (/.f64 -1 i))))
(/.f64 (*.f64 n (-.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 3) (pow.f64 (log.f64 (/.f64 -1 i)) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 2) (*.f64 (log.f64 (/.f64 -1 i)) (log.f64 (*.f64 (/.f64 -1 n) (/.f64 -1 i))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 2) (pow.f64 (log.f64 (/.f64 -1 i)) 2)) n) (log.f64 (*.f64 (/.f64 -1 n) (/.f64 -1 i))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 3) (pow.f64 (log.f64 (/.f64 -1 i)) 3)) n) (+.f64 (pow.f64 (log.f64 (/.f64 -1 n)) 2) (*.f64 (log.f64 (/.f64 -1 i)) (log.f64 (*.f64 (/.f64 -1 n) (/.f64 -1 i))))))
(pow.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i))) 1)
(pow.f64 (sqrt.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i)))) 2)
(pow.f64 (cbrt.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i)))) 3)
(pow.f64 (pow.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i))) 2))
(log.f64 (pow.f64 (*.f64 (/.f64 1 n) i) n))
(log.f64 (+.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) 1))
(cbrt.f64 (pow.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i))) 3))
(cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 (*.f64 (/.f64 1 n) i)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 n) i)) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i)))))
(exp.f64 (log.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i)))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i)))) 1))
(log1p.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100)))) 1)
(/.f64 n (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) 100))
(/.f64 100 (/.f64 i (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))))
(/.f64 100 (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) n))
(/.f64 1 (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) (*.f64 n 100)))
(/.f64 (*.f64 n 100) (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))))
(/.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) (/.f64 i 100))
(/.f64 (sqrt.f64 (*.f64 n 100)) (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) (sqrt.f64 (*.f64 n 100))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 n 100)) (cbrt.f64 (*.f64 n 100))) (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) (cbrt.f64 (*.f64 n 100))))
(/.f64 (*.f64 100 (sqrt.f64 n)) (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) (sqrt.f64 n)))
(/.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) (cbrt.f64 n)))
(/.f64 (*.f64 (*.f64 n 100) (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) i)
(/.f64 (*.f64 (*.f64 n 100) 1) (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))))
(/.f64 (*.f64 100 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) i)
(/.f64 (*.f64 (*.f64 n 100) (neg.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) 100) i)
(pow.f64 (*.f64 n (*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100)) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i))) 10) 2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100))) 3)
(pow.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)) 2) 10000))
(log.f64 (pow.f64 (pow.f64 (exp.f64 n) (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)) 100))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100)))))
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100)) 3))
(expm1.f64 (log1p.f64 (*.f64 n (*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100))))
(exp.f64 (log.f64 (*.f64 n (*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100))) 1))
(log1p.f64 (expm1.f64 (*.f64 n (*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)))) 1)
(/.f64 n (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) (/.f64 i n))
(/.f64 1 (/.f64 i (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))))
(/.f64 1 (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) n))
(/.f64 (sqrt.f64 n) (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) (sqrt.f64 n)))
(/.f64 (sqrt.f64 n) (/.f64 i (*.f64 (sqrt.f64 n) (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))))
(/.f64 (cbrt.f64 n) (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) (cbrt.f64 n)))
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 i (*.f64 (cbrt.f64 n) (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))))
(/.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) i)
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) (/.f64 (neg.f64 i) n))
(/.f64 (sqrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (/.f64 i (sqrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (cbrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))))) (/.f64 i (cbrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))))))
(/.f64 (*.f64 n (sqrt.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (/.f64 i (sqrt.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))))
(/.f64 (*.f64 n (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) 2)) (/.f64 i (cbrt.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))))
(/.f64 (*.f64 n (neg.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) n) (neg.f64 i))
(/.f64 (/.f64 n (/.f64 1 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) i)
(/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (sqrt.f64 i))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) (/.f64 (pow.f64 (cbrt.f64 i) 2) n)) (cbrt.f64 i))
(/.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (/.f64 i (*.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))))))
(/.f64 (neg.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (neg.f64 i))
(pow.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)) 1)
(pow.f64 (sqrt.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i))) 2)
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i))) 3)
(pow.f64 (pow.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)) 2))
(log.f64 (pow.f64 (exp.f64 n) (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)))))
(cbrt.f64 (pow.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)) 3))
(cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i))))
(exp.f64 (log.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i))) 1))
(log1p.f64 (expm1.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i))))
Outputs
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 n))) (log.f64 (/.f64 -1 i)))
(-.f64 (fma.f64 -1 (log.f64 n) (log.f64 -1)) (log.f64 (/.f64 -1 i)))
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 n))) (log.f64 (/.f64 -1 i)))
(-.f64 (fma.f64 -1 (log.f64 n) (log.f64 -1)) (log.f64 (/.f64 -1 i)))
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 n))) (log.f64 (/.f64 -1 i)))
(-.f64 (fma.f64 -1 (log.f64 n) (log.f64 -1)) (log.f64 (/.f64 -1 i)))
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 n))) (log.f64 (/.f64 -1 i)))
(-.f64 (fma.f64 -1 (log.f64 n) (log.f64 -1)) (log.f64 (/.f64 -1 i)))
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i)))
(-.f64 (fma.f64 -1 (log.f64 n) (log.f64 -1)) (log.f64 (/.f64 -1 i)))
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i)))
(-.f64 (fma.f64 -1 (log.f64 n) (log.f64 -1)) (log.f64 (/.f64 -1 i)))
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i)))
(-.f64 (fma.f64 -1 (log.f64 n) (log.f64 -1)) (log.f64 (/.f64 -1 i)))
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i)))
(-.f64 (fma.f64 -1 (log.f64 n) (log.f64 -1)) (log.f64 (/.f64 -1 i)))
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
(-.f64 (log.f64 (/.f64 -1 n)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 i))))
(-.f64 (fma.f64 -1 (log.f64 n) (log.f64 -1)) (log.f64 (/.f64 -1 i)))
(-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))
(-.f64 (log.f64 (/.f64 -1 n)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 i))))
(-.f64 (fma.f64 -1 (log.f64 n) (log.f64 -1)) (log.f64 (/.f64 -1 i)))
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(*.f64 (/.f64 (sqrt.f64 n) i) (*.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) (sqrt.f64 n)))
(*.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) (sqrt.f64 n)) (/.f64 (sqrt.f64 n) i))
(/.f64 (cbrt.f64 n) (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (cbrt.f64 n) (/.f64 i (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)))) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (cbrt.f64 n) (*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) i) (+.f64 -1 (pow.f64 (/.f64 i n) n))))
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (/.f64 i (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) (cbrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 n) (/.f64 i (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)))) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (cbrt.f64 n) (*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) i) (+.f64 -1 (pow.f64 (/.f64 i n) n))))
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 i (*.f64 (cbrt.f64 n) (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))))
(*.f64 (/.f64 (cbrt.f64 n) (/.f64 i (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)))) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (cbrt.f64 n) (*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) i) (+.f64 -1 (pow.f64 (/.f64 i n) n))))
(/.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) i)
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) (/.f64 (neg.f64 i) n))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n))) (/.f64 (neg.f64 i) n))
(*.f64 (/.f64 n (neg.f64 i)) (-.f64 1 (pow.f64 (/.f64 i n) n)))
(/.f64 (sqrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (/.f64 i (sqrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)))) i) (sqrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)))))
(*.f64 (sqrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (/.f64 i n) n)))) (/.f64 (sqrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (/.f64 i n) n)))) i))
(/.f64 (*.f64 (cbrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (cbrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))))) (/.f64 i (cbrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)))) (cbrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n))))) i) (cbrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)))))
(/.f64 (cbrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (/.f64 i n) n)))) (/.f64 (/.f64 i (cbrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (/.f64 i n) n))))) (cbrt.f64 (*.f64 n (+.f64 -1 (pow.f64 (/.f64 i n) n))))))
(/.f64 (*.f64 n (sqrt.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (/.f64 i (sqrt.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))))
(*.f64 (/.f64 (*.f64 n (sqrt.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)))) i) (sqrt.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n))) (/.f64 n (/.f64 i (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n))))))
(/.f64 (*.f64 n (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) 2)) (/.f64 i (cbrt.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))))
(*.f64 (/.f64 (*.f64 n (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n))) 2)) i) (cbrt.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n))) (/.f64 n (/.f64 i (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n))) 2))))
(/.f64 (*.f64 n (neg.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (neg.f64 i))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n))) (/.f64 (neg.f64 i) n))
(*.f64 (/.f64 n (neg.f64 i)) (-.f64 1 (pow.f64 (/.f64 i n) n)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))) n) (neg.f64 i))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n))) (/.f64 (neg.f64 i) n))
(*.f64 (/.f64 n (neg.f64 i)) (-.f64 1 (pow.f64 (/.f64 i n) n)))
(/.f64 (/.f64 n (/.f64 1 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) i)
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (sqrt.f64 i))
(/.f64 n (*.f64 (sqrt.f64 i) (/.f64 (sqrt.f64 i) (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)))))
(/.f64 (/.f64 n (sqrt.f64 i)) (/.f64 (sqrt.f64 i) (+.f64 -1 (pow.f64 (/.f64 i n) n))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) (/.f64 (pow.f64 (cbrt.f64 i) 2) n)) (cbrt.f64 i))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) (*.f64 (cbrt.f64 i) (/.f64 (pow.f64 (cbrt.f64 i) 2) n)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) (/.f64 (*.f64 (cbrt.f64 i) (pow.f64 (cbrt.f64 i) 2)) n))
(/.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (/.f64 i (*.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)))) i) (*.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)))))
(*.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n))) (/.f64 i (sqrt.f64 n))))
(/.f64 (neg.f64 (*.f64 n (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)))) (neg.f64 i))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n))) (/.f64 (neg.f64 i) n))
(*.f64 (/.f64 n (neg.f64 i)) (-.f64 1 (pow.f64 (/.f64 i n) n)))
(pow.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)) 1)
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(pow.f64 (sqrt.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i))) 2)
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i))) 3)
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(pow.f64 (pow.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)) 3) 1/3)
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(sqrt.f64 (pow.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)) 2))
(sqrt.f64 (pow.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i)) 2))
(fabs.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i)))
(log.f64 (pow.f64 (exp.f64 n) (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)))))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(cbrt.f64 (pow.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i)) 3))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 3)))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 3) (pow.f64 n 3)))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(expm1.f64 (log1p.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i))))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(exp.f64 (log.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i))))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i))) 1))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(log1p.f64 (expm1.f64 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i))))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (*.f64 i (/.f64 1 n)) n)) i))
(*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))

eval850.0ms (4.8%)

Compiler

Compiled 37350 to 24949 computations (33.2% saved)

prune449.0ms (2.5%)

Pruning

42 alts after pruning (41 fresh and 1 done)

PrunedKeptTotal
New1364281392
Fresh91322
Picked101
Done415
Total1378421420
Error
0.93%
Counts
1420 → 42
Alt Table
Click to see full alt table
StatusErrorProgram
45.35%
(fma.f64 100 (/.f64 (*.f64 1/3 (*.f64 i i)) n) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
54.5%
(fma.f64 100 (*.f64 n (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))))) (*.f64 100 (+.f64 n (*.f64 n (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))))
45.15%
(fma.f64 100 (*.f64 n (*.f64 1/3 (*.f64 (/.f64 (/.f64 i n) n) i))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
72.11%
(pow.f64 (*.f64 n (*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100)) 1)
88.17%
(/.f64 (*.f64 (*.f64 100 n) (fma.f64 -1 (log.f64 n) (log.f64 i))) (/.f64 i n))
29.86%
(/.f64 (*.f64 (expm1.f64 i) (*.f64 100 n)) i)
24.73%
(/.f64 (*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i)) 1)
73.73%
(/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i 100))
80.54%
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
87.78%
(/.f64 (*.f64 100 (+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))) (/.f64 i n))
89.06%
(/.f64 (*.f64 100 (+.f64 (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (pow.f64 n 3) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))))))) (/.f64 i n))
78.56%
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
88.17%
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))
79.96%
(/.f64 (*.f64 100 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (/.f64 i n))
50.69%
(/.f64 (*.f64 100 i) (/.f64 i n))
24.75%
(/.f64 n (/.f64 (/.f64 i (expm1.f64 i)) 100))
29.44%
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
96.23%
(/.f64 100/3 (/.f64 n (*.f64 i i)))
45.08%
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
45.16%
(+.f64 (*.f64 i -50) (*.f64 100 n))
44.98%
(*.f64 n (+.f64 100 (*.f64 i 50)))
72.12%
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (/.f64 i n) n))))
44.39%
(*.f64 n 100)
32.14%
(*.f64 100 (+.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))
50.83%
(*.f64 100 (+.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i)) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) n))
54.5%
(*.f64 100 (+.f64 n (*.f64 n (+.f64 (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3))))))))))
44.91%
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))
87.37%
(*.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))
72.08%
(*.f64 100 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i)))
90.94%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (pow.f64 (pow.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i))) 3) 1/3)) i)))
79.97%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 n)) n) (*.f64 (log.f64 (neg.f64 i)) n))) i)))
80.01%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 n))) 2) (cbrt.f64 (log.f64 (/.f64 -1 n))) (log.f64 (neg.f64 i))))) i)))
74.7%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 n) i))) 3))) i)))
95.56%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 i))))))) i)))
95.57%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (/.f64 -1 i)))) (sqrt.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 i n))))) i)))
79.97%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 -1 n)) (log.f64 (neg.f64 i))))) i)))
95.58%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (*.f64 i (/.f64 1 n))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (/.f64 -1 i)))) (sqrt.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 i))))))) i)))
74.63%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log.f64 (/.f64 i n)))) i)))
74.92%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 n) i)))))) i)))
94.57%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (exp.f64 (log.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i)))))) i)))
44.98%
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i 1/2))))
24.84%
(*.f64 100 (*.f64 n (*.f64 (/.f64 1 i) (expm1.f64 i))))
Compiler

Compiled 1689 to 1206 computations (28.6% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.02%
(*.f64 100 (expm1.f64 i))
0.09%
(*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i))
0.18%
(/.f64 (*.f64 100 (expm1.f64 i)) i)
Compiler

Compiled 36 to 20 computations (44.4% saved)

series3.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
i
@0
(/.f64 (*.f64 100 (expm1.f64 i)) i)
0.0ms
i
@-inf
(/.f64 (*.f64 100 (expm1.f64 i)) i)
0.0ms
i
@inf
(/.f64 (*.f64 100 (expm1.f64 i)) i)
0.0ms
i
@-inf
(*.f64 100 (expm1.f64 i))
0.0ms
i
@inf
(*.f64 100 (expm1.f64 i))

rewrite86.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1352×associate-*r/
1348×associate-/r*
1054×associate-/l*
1024×*-commutative
946×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051
120551
2264251
Stop Event
node limit
Counts
3 → 234
Calls
Call 1
Inputs
(/.f64 (*.f64 100 (expm1.f64 i)) i)
(*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i))
(*.f64 100 (expm1.f64 i))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 100 (exp.f64 i)) -100)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 i) 100) -100)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 100 (expm1.f64 i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1)) (+.f64 1 (exp.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (-.f64 (pow.f64 (exp.f64 i) 3) 1)) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (exp.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1) 100) (+.f64 1 (exp.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 i) 3) 1) 100) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (exp.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (expm1.f64 i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (expm1.f64 i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (expm1.f64 i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 100 (expm1.f64 i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (expm1.f64 i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (expm1.f64 i))))))))

simplify127.0ms (0.7%)

Algorithm
egg-herbie
Rules
1000×times-frac
860×associate-*r*
854×associate-/l/
776×associate-*l*
650×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06117880
116417714
271397714
Stop Event
node limit
Counts
282 → 349
Calls
Call 1
Inputs
100
(+.f64 100 (*.f64 50 i))
(+.f64 100 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))))
(+.f64 100 (+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2)))))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
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(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (+.f64 (*.f64 50 (pow.f64 i 2)) (*.f64 25/6 (pow.f64 i 4)))))
(*.f64 100 (-.f64 (exp.f64 i) 1))
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(*.f64 100 (-.f64 (exp.f64 i) 1))
(+.f64 (*.f64 (/.f64 100 i) (exp.f64 i)) (*.f64 (/.f64 100 i) -1))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 100 i))) 2) (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 100 i))))
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(/.f64 (*.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) (/.f64 1 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (*.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) (/.f64 1 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(/.f64 (*.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) -1) (neg.f64 i))
(/.f64 (*.f64 (*.f64 n (/.f64 10 (sqrt.f64 (/.f64 i (expm1.f64 i))))) 1) (sqrt.f64 (/.f64 (/.f64 i 100) (expm1.f64 i))))
(/.f64 (*.f64 (*.f64 n (/.f64 10 (sqrt.f64 (/.f64 i (expm1.f64 i))))) 10) (sqrt.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (*.f64 (*.f64 n (/.f64 10 (sqrt.f64 (/.f64 i (expm1.f64 i))))) (*.f64 (sqrt.f64 (expm1.f64 i)) 10)) (sqrt.f64 i))
(/.f64 (*.f64 (*.f64 n (/.f64 10 (sqrt.f64 (/.f64 i (expm1.f64 i))))) (sqrt.f64 (*.f64 (expm1.f64 i) -100))) (sqrt.f64 (neg.f64 i)))
(/.f64 (*.f64 (*.f64 n (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 100 i))) 2)) 1) (cbrt.f64 (/.f64 (/.f64 i 100) (expm1.f64 i))))
(/.f64 (*.f64 (*.f64 n (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 100 i))) 2)) (cbrt.f64 100)) (cbrt.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (*.f64 (*.f64 n (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 100 i))) 2)) (cbrt.f64 (*.f64 100 (expm1.f64 i)))) (cbrt.f64 i))
(/.f64 (*.f64 (*.f64 n (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 100 i))) 2)) (cbrt.f64 (*.f64 (expm1.f64 i) -100))) (cbrt.f64 (neg.f64 i)))
(/.f64 (*.f64 (/.f64 n 1) 100) (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 (/.f64 n 1) (expm1.f64 i)) (/.f64 i 100))
(/.f64 (*.f64 (/.f64 n 1) (*.f64 100 (expm1.f64 i))) i)
(/.f64 (*.f64 (/.f64 n 1) 1) (/.f64 (/.f64 i 100) (expm1.f64 i)))
(/.f64 (*.f64 (/.f64 n 1) (*.f64 (sqrt.f64 (expm1.f64 i)) 10)) (/.f64 i (*.f64 (sqrt.f64 (expm1.f64 i)) 10)))
(/.f64 (*.f64 (/.f64 n 1) (pow.f64 (cbrt.f64 (*.f64 100 (expm1.f64 i))) 2)) (/.f64 i (cbrt.f64 (*.f64 100 (expm1.f64 i)))))
(/.f64 (*.f64 (/.f64 n 1) (*.f64 (expm1.f64 i) -100)) (neg.f64 i))
(/.f64 (*.f64 (/.f64 n 1) (/.f64 (expm1.f64 i) 1/100)) i)
(/.f64 (*.f64 (/.f64 n 1) (/.f64 (expm1.f64 i) (/.f64 (sqrt.f64 i) 100))) (sqrt.f64 i))
(/.f64 (*.f64 (/.f64 n 1) (/.f64 (expm1.f64 i) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100))) (cbrt.f64 i))
(/.f64 (*.f64 (/.f64 n 1) -100) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (*.f64 (/.f64 n 1) -1) (neg.f64 (/.f64 (/.f64 i 100) (expm1.f64 i))))
(/.f64 (*.f64 (/.f64 n 1) (neg.f64 (*.f64 (expm1.f64 i) -100))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 i)) (*.f64 100 (expm1.f64 i))) (sqrt.f64 i))
(/.f64 (*.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) (*.f64 100 (expm1.f64 i))) (cbrt.f64 i))
(/.f64 (*.f64 -1 n) (neg.f64 (/.f64 (/.f64 i 100) (expm1.f64 i))))
(/.f64 (*.f64 (/.f64 (expm1.f64 i) 1/100) n) i)
(/.f64 (*.f64 (/.f64 (expm1.f64 i) (/.f64 (sqrt.f64 i) 100)) n) (sqrt.f64 i))
(/.f64 (*.f64 (/.f64 (expm1.f64 i) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) n) (cbrt.f64 i))
(/.f64 (*.f64 -100 n) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (*.f64 (neg.f64 (*.f64 (expm1.f64 i) -100)) n) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (*.f64 100 n) 1) (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 (*.f64 n (*.f64 (expm1.f64 i) -100)) 1) (neg.f64 i))
(/.f64 (*.f64 (/.f64 (*.f64 (expm1.f64 i) n) 1/100) 1) i)
(/.f64 (*.f64 (/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) (sqrt.f64 i)) 1) (sqrt.f64 i))
(/.f64 (*.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 100 (expm1.f64 i)))) 1) (cbrt.f64 i))
(/.f64 (*.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) 1) (neg.f64 i))
(/.f64 (*.f64 1 (*.f64 n (/.f64 10 (sqrt.f64 (/.f64 i (expm1.f64 i)))))) (sqrt.f64 (/.f64 (/.f64 i 100) (expm1.f64 i))))
(/.f64 (*.f64 10 (*.f64 n (/.f64 10 (sqrt.f64 (/.f64 i (expm1.f64 i)))))) (sqrt.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) (*.f64 n (/.f64 10 (sqrt.f64 (/.f64 i (expm1.f64 i)))))) (sqrt.f64 i))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (expm1.f64 i) -100)) (*.f64 n (/.f64 10 (sqrt.f64 (/.f64 i (expm1.f64 i)))))) (sqrt.f64 (neg.f64 i)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (sqrt.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n))) (sqrt.f64 i))
(/.f64 (*.f64 (cbrt.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n)) 2)) (cbrt.f64 i))
(/.f64 (*.f64 n (/.f64 (expm1.f64 i) (/.f64 (cbrt.f64 i) 100))) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 n (*.f64 (cbrt.f64 (/.f64 (/.f64 i 100) (expm1.f64 i))) (cbrt.f64 (/.f64 (/.f64 i 100) (expm1.f64 i))))) (cbrt.f64 (/.f64 (/.f64 i 100) (expm1.f64 i))))
(/.f64 (/.f64 n (/.f64 1 (expm1.f64 i))) (/.f64 i 100))
(/.f64 (/.f64 n 1/100) (/.f64 i (expm1.f64 i)))
(/.f64 (/.f64 n (/.f64 1/10 (sqrt.f64 (expm1.f64 i)))) (/.f64 i (*.f64 (sqrt.f64 (expm1.f64 i)) 10)))
(/.f64 (/.f64 n (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 100 (expm1.f64 i))) 2))) (/.f64 i (cbrt.f64 (*.f64 100 (expm1.f64 i)))))
(/.f64 (/.f64 n (/.f64 (sqrt.f64 i) 100)) (/.f64 (sqrt.f64 i) (expm1.f64 i)))
(/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (expm1.f64 i))) (/.f64 (sqrt.f64 i) 100))
(/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 (expm1.f64 i)) 10))) (/.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 (expm1.f64 i)) 10)))
(/.f64 (/.f64 n (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (*.f64 100 (expm1.f64 i))) 2))) (/.f64 (sqrt.f64 i) (cbrt.f64 (*.f64 100 (expm1.f64 i)))))
(/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (/.f64 (cbrt.f64 i) (expm1.f64 i)))
(/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (expm1.f64 i))) (/.f64 (cbrt.f64 i) 100))
(/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (sqrt.f64 (expm1.f64 i)) 10))) (/.f64 (/.f64 (cbrt.f64 i) 10) (sqrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (*.f64 100 (expm1.f64 i))) 2))) (/.f64 (cbrt.f64 i) (cbrt.f64 (*.f64 100 (expm1.f64 i)))))
(/.f64 (/.f64 (*.f64 100 n) i) (/.f64 1 (expm1.f64 i)))
(/.f64 (/.f64 (*.f64 100 n) 1) (/.f64 i (expm1.f64 i)))
(/.f64 (/.f64 (*.f64 100 n) (sqrt.f64 (/.f64 i (expm1.f64 i)))) (sqrt.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 100 n) (*.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) (cbrt.f64 (/.f64 i (expm1.f64 i))))) (cbrt.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 (sqrt.f64 i) 1)) (/.f64 (sqrt.f64 i) (expm1.f64 i)))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 (pow.f64 (cbrt.f64 i) 2) 1)) (/.f64 (cbrt.f64 i) (expm1.f64 i)))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 1 (sqrt.f64 (expm1.f64 i)))) (/.f64 i (sqrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) (/.f64 i (cbrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 (sqrt.f64 i) (sqrt.f64 (expm1.f64 i)))) (/.f64 (sqrt.f64 i) (sqrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))) (/.f64 (sqrt.f64 i) (cbrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 100 n) (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (expm1.f64 i)))) (/.f64 (cbrt.f64 i) (sqrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 (*.f64 100 n) (/.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 (*.f64 n (*.f64 (expm1.f64 i) -100)) 1) (neg.f64 i))
(/.f64 (/.f64 (*.f64 n (*.f64 (expm1.f64 i) -100)) (sqrt.f64 i)) (neg.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (*.f64 n (*.f64 (expm1.f64 i) -100)) (pow.f64 (cbrt.f64 i) 2)) (neg.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (*.f64 n (*.f64 (expm1.f64 i) -100)) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(/.f64 (/.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 (*.f64 n (*.f64 (expm1.f64 i) -100)) -1) i)
(/.f64 (/.f64 (*.f64 n (*.f64 (expm1.f64 i) -100)) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 (*.f64 n (*.f64 (expm1.f64 i) -100)) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(/.f64 (/.f64 (/.f64 (*.f64 (expm1.f64 i) n) 1/100) 1) i)
(/.f64 (/.f64 (/.f64 (*.f64 (expm1.f64 i) n) 1/100) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(/.f64 (/.f64 (/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) (sqrt.f64 i)) 1) (sqrt.f64 i))
(/.f64 (/.f64 (/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) (sqrt.f64 i)) (cbrt.f64 i)) (cbrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) (sqrt.f64 i)) (sqrt.f64 (pow.f64 (cbrt.f64 i) 2))) (sqrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) (sqrt.f64 i)) (sqrt.f64 (sqrt.f64 i))) (sqrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 100 (expm1.f64 i)))) 1) (cbrt.f64 i))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 100 (expm1.f64 i)))) (sqrt.f64 (cbrt.f64 i))) (sqrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 100 (expm1.f64 i)))) (cbrt.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 100 (expm1.f64 i)))) (*.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) (*.f64 100 (expm1.f64 i)))) (cbrt.f64 (sqrt.f64 i))) (cbrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) 1) (neg.f64 i))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (sqrt.f64 i)) (neg.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (pow.f64 (cbrt.f64 i) 2)) (neg.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (*.f64 (cbrt.f64 (neg.f64 i)) (cbrt.f64 (neg.f64 i)))) (cbrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) -1) i)
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n) 1)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n)) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 (expm1.f64 i) (/.f64 100 i))) n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n)))
(exp.f64 (log.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n)))
(+.f64 (*.f64 100 (exp.f64 i)) -100)
(+.f64 (*.f64 (exp.f64 i) 100) -100)
(-.f64 (exp.f64 (log1p.f64 (*.f64 100 (expm1.f64 i)))) 1)
(/.f64 (*.f64 100 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1)) (+.f64 1 (exp.f64 i)))
(/.f64 (*.f64 100 (-.f64 (pow.f64 (exp.f64 i) 3) 1)) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (exp.f64 i))))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1) 100) (+.f64 1 (exp.f64 i)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 i) 3) 1) 100) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (exp.f64 i))))
(pow.f64 (*.f64 100 (expm1.f64 i)) 1)
(pow.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) 2)
(pow.f64 (cbrt.f64 (*.f64 100 (expm1.f64 i))) 3)
(pow.f64 (pow.f64 (*.f64 100 (expm1.f64 i)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 100 (expm1.f64 i)) 2))
(log.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (expm1.f64 i)))))
(cbrt.f64 (pow.f64 (*.f64 100 (expm1.f64 i)) 3))
(expm1.f64 (log1p.f64 (*.f64 100 (expm1.f64 i))))
(exp.f64 (log.f64 (*.f64 100 (expm1.f64 i))))
(log1p.f64 (expm1.f64 (*.f64 100 (expm1.f64 i))))
Outputs
100
(+.f64 100 (*.f64 50 i))
(fma.f64 50 i 100)
(+.f64 100 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))))
(+.f64 100 (fma.f64 50 i (*.f64 50/3 (*.f64 i i))))
(+.f64 (fma.f64 50 i 100) (*.f64 i (*.f64 i 50/3)))
(+.f64 100 (+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2)))))
(+.f64 100 (fma.f64 50 i (fma.f64 25/6 (pow.f64 i 3) (*.f64 50/3 (*.f64 i i)))))
(+.f64 (fma.f64 50 i 100) (fma.f64 50/3 (*.f64 i i) (*.f64 25/6 (pow.f64 i 3))))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
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(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (*.f64 n (*.f64 (expm1.f64 i) -100)) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.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 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (*.f64 n (*.f64 (expm1.f64 i) -100)) -1) i)
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (*.f64 n (*.f64 (expm1.f64 i) -100)) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (*.f64 n (*.f64 (expm1.f64 i) -100)) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (/.f64 (*.f64 (expm1.f64 i) n) 1/100) 1) i)
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (/.f64 (*.f64 (expm1.f64 i) n) 1/100) (cbrt.f64 i)) (pow.f64 (cbrt.f64 i) 2))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) (sqrt.f64 i)) 1) (sqrt.f64 i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) (sqrt.f64 i)) (cbrt.f64 i)) (cbrt.f64 (sqrt.f64 i)))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) (/.f64 n (sqrt.f64 i))) (*.f64 (cbrt.f64 (sqrt.f64 i)) (cbrt.f64 i)))
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) (cbrt.f64 (sqrt.f64 i))) (/.f64 (/.f64 n (sqrt.f64 i)) (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) (sqrt.f64 i)) (sqrt.f64 (pow.f64 (cbrt.f64 i) 2))) (sqrt.f64 (cbrt.f64 i)))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) (/.f64 n (sqrt.f64 i))) (*.f64 (sqrt.f64 (cbrt.f64 i)) (sqrt.f64 (pow.f64 (cbrt.f64 i) 2))))
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) (sqrt.f64 (cbrt.f64 i))) (/.f64 (/.f64 n (sqrt.f64 i)) (fabs.f64 (cbrt.f64 i))))
(/.f64 (/.f64 (/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) (sqrt.f64 i)) (sqrt.f64 (sqrt.f64 i))) (sqrt.f64 (sqrt.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 100 (expm1.f64 i)))) 1) (cbrt.f64 i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 100 (expm1.f64 i)))) (sqrt.f64 (cbrt.f64 i))) (sqrt.f64 (cbrt.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 100 (expm1.f64 i)))) (cbrt.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 (cbrt.f64 i)))
(/.f64 (*.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (expm1.f64 i)) (*.f64 (cbrt.f64 (cbrt.f64 i)) (cbrt.f64 (pow.f64 (cbrt.f64 i) 2))))
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) (cbrt.f64 (cbrt.f64 i))) (/.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 i) 2))))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 100 (expm1.f64 i)))) (*.f64 (cbrt.f64 (cbrt.f64 i)) (cbrt.f64 (cbrt.f64 i)))) (cbrt.f64 (cbrt.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 100 (expm1.f64 i)))) (cbrt.f64 (sqrt.f64 i))) (cbrt.f64 (sqrt.f64 i)))
(/.f64 (*.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (expm1.f64 i)) (*.f64 (cbrt.f64 (sqrt.f64 i)) (cbrt.f64 (sqrt.f64 i))))
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) (cbrt.f64 (sqrt.f64 i))) (/.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (sqrt.f64 i))))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) 1) (neg.f64 i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (sqrt.f64 i)) (neg.f64 (sqrt.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (pow.f64 (cbrt.f64 i) 2)) (neg.f64 (cbrt.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (*.f64 (cbrt.f64 (neg.f64 i)) (cbrt.f64 (neg.f64 i)))) (cbrt.f64 (neg.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) -1) i)
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(/.f64 (/.f64 (neg.f64 (*.f64 100 (*.f64 (expm1.f64 i) n))) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n) 1)
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n)) 2)
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n)) 3)
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(pow.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n) 3) 1/3)
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n) 2))
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n)) 2))
(fabs.f64 (*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (expm1.f64 i) (/.f64 100 i))) n))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n))))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n) 3))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) 3) (pow.f64 n 3)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(exp.f64 (log.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 (*.f64 100 n) (/.f64 (expm1.f64 i) i))
(+.f64 (*.f64 100 (exp.f64 i)) -100)
(*.f64 100 (expm1.f64 i))
(+.f64 (*.f64 (exp.f64 i) 100) -100)
(*.f64 100 (expm1.f64 i))
(-.f64 (exp.f64 (log1p.f64 (*.f64 100 (expm1.f64 i)))) 1)
(*.f64 100 (expm1.f64 i))
(/.f64 (*.f64 100 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1)) (+.f64 1 (exp.f64 i)))
(/.f64 100 (/.f64 (+.f64 (exp.f64 i) 1) (fma.f64 (exp.f64 i) (exp.f64 i) -1)))
(*.f64 (/.f64 100 (+.f64 (exp.f64 i) 1)) (expm1.f64 (+.f64 i i)))
(/.f64 (*.f64 100 (-.f64 (pow.f64 (exp.f64 i) 3) 1)) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (exp.f64 i))))
(/.f64 100 (/.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) 1)) (+.f64 (pow.f64 (exp.f64 i) 3) -1)))
(*.f64 (/.f64 100 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) 1))) (+.f64 -1 (pow.f64 (exp.f64 i) 3)))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1) 100) (+.f64 1 (exp.f64 i)))
(/.f64 100 (/.f64 (+.f64 (exp.f64 i) 1) (fma.f64 (exp.f64 i) (exp.f64 i) -1)))
(*.f64 (/.f64 100 (+.f64 (exp.f64 i) 1)) (expm1.f64 (+.f64 i i)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 i) 3) 1) 100) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (exp.f64 i))))
(/.f64 100 (/.f64 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) 1)) (+.f64 (pow.f64 (exp.f64 i) 3) -1)))
(*.f64 (/.f64 100 (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 (exp.f64 i) 1))) (+.f64 -1 (pow.f64 (exp.f64 i) 3)))
(pow.f64 (*.f64 100 (expm1.f64 i)) 1)
(*.f64 100 (expm1.f64 i))
(pow.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) 2)
(pow.f64 (*.f64 10 (sqrt.f64 (expm1.f64 i))) 2)
(pow.f64 (cbrt.f64 (*.f64 100 (expm1.f64 i))) 3)
(*.f64 100 (expm1.f64 i))
(pow.f64 (pow.f64 (*.f64 100 (expm1.f64 i)) 3) 1/3)
(*.f64 100 (expm1.f64 i))
(sqrt.f64 (pow.f64 (*.f64 100 (expm1.f64 i)) 2))
(fabs.f64 (*.f64 100 (expm1.f64 i)))
(log.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)))
(*.f64 100 (expm1.f64 i))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (expm1.f64 i)))))
(*.f64 100 (expm1.f64 i))
(cbrt.f64 (pow.f64 (*.f64 100 (expm1.f64 i)) 3))
(*.f64 100 (expm1.f64 i))
(expm1.f64 (log1p.f64 (*.f64 100 (expm1.f64 i))))
(*.f64 100 (expm1.f64 i))
(exp.f64 (log.f64 (*.f64 100 (expm1.f64 i))))
(*.f64 100 (expm1.f64 i))
(log1p.f64 (expm1.f64 (*.f64 100 (expm1.f64 i))))
(*.f64 100 (expm1.f64 i))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1%
(*.f64 n (+.f64 100 (*.f64 i 50)))
Compiler

Compiled 21 to 15 computations (28.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
n
@0
(*.f64 n (+.f64 100 (*.f64 i 50)))
0.0ms
i
@inf
(*.f64 n (+.f64 100 (*.f64 i 50)))
0.0ms
n
@inf
(*.f64 n (+.f64 100 (*.f64 i 50)))
0.0ms
i
@0
(*.f64 n (+.f64 100 (*.f64 i 50)))
0.0ms
n
@-inf
(*.f64 n (+.f64 100 (*.f64 i 50)))

rewrite68.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
876×*-commutative
682×unswap-sqr
542×swap-sqr
540×associate-*r/
424×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0919
119815
2248915
Stop Event
node limit
Counts
1 → 58
Calls
Call 1
Inputs
(*.f64 n (+.f64 100 (*.f64 i 50)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n 100) (*.f64 n (*.f64 i 50)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 1 (fma.f64 i 50 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 100 (*.f64 i -50)) (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)) (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 n (+.f64 100 (*.f64 i -50))) (-.f64 (*.f64 (*.f64 n n) 10000) (pow.f64 (*.f64 n (*.f64 i 50)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 n n) 10000) (*.f64 (*.f64 n (*.f64 i 50)) (-.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100)))) (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 n (*.f64 i 50)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 10000 (pow.f64 (*.f64 i 50) 2)) (/.f64 (+.f64 100 (*.f64 i -50)) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000)) (/.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) (+.f64 100 (*.f64 i -50)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 n n) 10000) (pow.f64 (*.f64 n (*.f64 i 50)) 2)) (*.f64 n (+.f64 100 (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 n (*.f64 i 50)) 3)) (+.f64 (*.f64 (*.f64 n n) 10000) (*.f64 (*.f64 n (*.f64 i 50)) (-.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 n (*.f64 i 50)) 3)) (+.f64 (pow.f64 (*.f64 n (*.f64 i 50)) 2) (-.f64 (*.f64 (*.f64 n n) 10000) (*.f64 (*.f64 n 100) (*.f64 n (*.f64 i 50))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (+.f64 (pow.f64 (*.f64 i 50) 2) -10000)) (+.f64 (*.f64 i 50) -100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (neg.f64 (-.f64 10000 (pow.f64 (*.f64 i 50) 2)))) (neg.f64 (+.f64 100 (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (+.f64 -1000000 (neg.f64 (*.f64 (pow.f64 i 3) 125000)))) (neg.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2)))) (+.f64 100 (*.f64 i -50)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000)))) (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 n n) 10000) (pow.f64 (*.f64 n (*.f64 i 50)) 2))) (*.f64 n (+.f64 100 (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 n (*.f64 i 50)) 3))) (+.f64 (*.f64 (*.f64 n n) 10000) (*.f64 (*.f64 n (*.f64 i 50)) (-.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (sqrt.f64 (fma.f64 i 50 100))) (sqrt.f64 (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (sqrt.f64 (fma.f64 i 50 100))) (sqrt.f64 (-.f64 10000 (pow.f64 (*.f64 i 50) 2)))) (sqrt.f64 (+.f64 100 (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (pow.f64 (cbrt.f64 (fma.f64 i 50 100)) 2)) (cbrt.f64 (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (pow.f64 (cbrt.f64 (fma.f64 i 50 100)) 2)) (cbrt.f64 (-.f64 10000 (pow.f64 (*.f64 i 50) 2)))) (cbrt.f64 (+.f64 100 (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) -10000) n) (+.f64 (*.f64 i 50) -100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) n) (neg.f64 (+.f64 100 (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1000000 (neg.f64 (*.f64 (pow.f64 i 3) 125000))) n) (neg.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) 1) (+.f64 100 (*.f64 i -50)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) 1) (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 n n) 10000) (pow.f64 (*.f64 n (*.f64 i 50)) 2)) 1) (*.f64 n (+.f64 100 (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 n (*.f64 i 50)) 3)) 1) (+.f64 (*.f64 (*.f64 n n) 10000) (*.f64 (*.f64 n (*.f64 i 50)) (-.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) (*.f64 n (sqrt.f64 (fma.f64 i 50 100)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) (*.f64 n (sqrt.f64 (fma.f64 i 50 100)))) (sqrt.f64 (+.f64 100 (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) 1) (+.f64 100 (*.f64 i -50)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) (sqrt.f64 (+.f64 100 (*.f64 i -50)))) (sqrt.f64 (+.f64 100 (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) (*.f64 (cbrt.f64 (+.f64 100 (*.f64 i -50))) (cbrt.f64 (+.f64 100 (*.f64 i -50))))) (cbrt.f64 (+.f64 100 (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) 1) (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 n (*.f64 i 50)) 2) (*.f64 (*.f64 n n) 10000)) (-.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100)))) (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (fma.f64 i 50 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (fma.f64 i 50 100))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (fma.f64 i 50 100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (fma.f64 i 50 100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (fma.f64 i 50 100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (fma.f64 i 50 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 n (fma.f64 i 50 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (fma.f64 i 50 100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 i 50 100) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (fma.f64 i 50 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (fma.f64 i 50 100))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n 100 (*.f64 n (*.f64 i 50)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 100 n (*.f64 n (*.f64 i 50)))))))

simplify91.0ms (0.5%)

Algorithm
egg-herbie
Rules
1330×times-frac
1250×associate-/l*
978×associate-+r+
922×*-commutative
770×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01902976
15242744
220872596
379142596
Stop Event
node limit
Counts
82 → 96
Calls
Call 1
Inputs
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 50 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 50 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 i 50)))
(+.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100))
(+.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100)))) 1)
(/.f64 n (/.f64 1 (fma.f64 i 50 100)))
(/.f64 1 (/.f64 (+.f64 100 (*.f64 i -50)) (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)) (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000)))))
(/.f64 1 (/.f64 (*.f64 n (+.f64 100 (*.f64 i -50))) (-.f64 (*.f64 (*.f64 n n) 10000) (pow.f64 (*.f64 n (*.f64 i 50)) 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 n n) 10000) (*.f64 (*.f64 n (*.f64 i 50)) (-.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100)))) (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 n (*.f64 i 50)) 3))))
(/.f64 (-.f64 10000 (pow.f64 (*.f64 i 50) 2)) (/.f64 (+.f64 100 (*.f64 i -50)) n))
(/.f64 (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000)) (/.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)) n))
(/.f64 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) (+.f64 100 (*.f64 i -50)))
(/.f64 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)))
(/.f64 (-.f64 (*.f64 (*.f64 n n) 10000) (pow.f64 (*.f64 n (*.f64 i 50)) 2)) (*.f64 n (+.f64 100 (*.f64 i -50))))
(/.f64 (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 n (*.f64 i 50)) 3)) (+.f64 (*.f64 (*.f64 n n) 10000) (*.f64 (*.f64 n (*.f64 i 50)) (-.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100)))))
(/.f64 (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 n (*.f64 i 50)) 3)) (+.f64 (pow.f64 (*.f64 n (*.f64 i 50)) 2) (-.f64 (*.f64 (*.f64 n n) 10000) (*.f64 (*.f64 n 100) (*.f64 n (*.f64 i 50))))))
(/.f64 (*.f64 n (+.f64 (pow.f64 (*.f64 i 50) 2) -10000)) (+.f64 (*.f64 i 50) -100))
(/.f64 (*.f64 n (neg.f64 (-.f64 10000 (pow.f64 (*.f64 i 50) 2)))) (neg.f64 (+.f64 100 (*.f64 i -50))))
(/.f64 (*.f64 n (+.f64 -1000000 (neg.f64 (*.f64 (pow.f64 i 3) 125000)))) (neg.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))
(/.f64 (*.f64 1 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2)))) (+.f64 100 (*.f64 i -50)))
(/.f64 (*.f64 1 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000)))) (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 n n) 10000) (pow.f64 (*.f64 n (*.f64 i 50)) 2))) (*.f64 n (+.f64 100 (*.f64 i -50))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 n (*.f64 i 50)) 3))) (+.f64 (*.f64 (*.f64 n n) 10000) (*.f64 (*.f64 n (*.f64 i 50)) (-.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100)))))
(/.f64 (*.f64 (*.f64 n (sqrt.f64 (fma.f64 i 50 100))) (sqrt.f64 (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))
(/.f64 (*.f64 (*.f64 n (sqrt.f64 (fma.f64 i 50 100))) (sqrt.f64 (-.f64 10000 (pow.f64 (*.f64 i 50) 2)))) (sqrt.f64 (+.f64 100 (*.f64 i -50))))
(/.f64 (*.f64 (*.f64 n (pow.f64 (cbrt.f64 (fma.f64 i 50 100)) 2)) (cbrt.f64 (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))
(/.f64 (*.f64 (*.f64 n (pow.f64 (cbrt.f64 (fma.f64 i 50 100)) 2)) (cbrt.f64 (-.f64 10000 (pow.f64 (*.f64 i 50) 2)))) (cbrt.f64 (+.f64 100 (*.f64 i -50))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) -10000) n) (+.f64 (*.f64 i 50) -100))
(/.f64 (*.f64 (neg.f64 (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) n) (neg.f64 (+.f64 100 (*.f64 i -50))))
(/.f64 (*.f64 (+.f64 -1000000 (neg.f64 (*.f64 (pow.f64 i 3) 125000))) n) (neg.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))
(/.f64 (*.f64 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) 1) (+.f64 100 (*.f64 i -50)))
(/.f64 (*.f64 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) 1) (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 n n) 10000) (pow.f64 (*.f64 n (*.f64 i 50)) 2)) 1) (*.f64 n (+.f64 100 (*.f64 i -50))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 n (*.f64 i 50)) 3)) 1) (+.f64 (*.f64 (*.f64 n n) 10000) (*.f64 (*.f64 n (*.f64 i 50)) (-.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) (*.f64 n (sqrt.f64 (fma.f64 i 50 100)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) (*.f64 n (sqrt.f64 (fma.f64 i 50 100)))) (sqrt.f64 (+.f64 100 (*.f64 i -50))))
(/.f64 (/.f64 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) 1) (+.f64 100 (*.f64 i -50)))
(/.f64 (/.f64 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) (sqrt.f64 (+.f64 100 (*.f64 i -50)))) (sqrt.f64 (+.f64 100 (*.f64 i -50))))
(/.f64 (/.f64 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) (*.f64 (cbrt.f64 (+.f64 100 (*.f64 i -50))) (cbrt.f64 (+.f64 100 (*.f64 i -50))))) (cbrt.f64 (+.f64 100 (*.f64 i -50))))
(/.f64 (/.f64 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) 1) (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)))
(/.f64 (/.f64 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))
(/.f64 (/.f64 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))
(/.f64 (-.f64 (pow.f64 (*.f64 n (*.f64 i 50)) 2) (*.f64 (*.f64 n n) 10000)) (-.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100)))) (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100)))) 1))
(pow.f64 (*.f64 n (fma.f64 i 50 100)) 1)
(pow.f64 (sqrt.f64 (*.f64 n (fma.f64 i 50 100))) 2)
(pow.f64 (cbrt.f64 (*.f64 n (fma.f64 i 50 100))) 3)
(pow.f64 (pow.f64 (*.f64 n (fma.f64 i 50 100)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 n (fma.f64 i 50 100)) 2))
(log.f64 (pow.f64 (exp.f64 n) (fma.f64 i 50 100)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (fma.f64 i 50 100)))))
(cbrt.f64 (pow.f64 (*.f64 n (fma.f64 i 50 100)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 i 50 100) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100))))
(exp.f64 (log.f64 (*.f64 n (fma.f64 i 50 100))))
(log1p.f64 (expm1.f64 (*.f64 n (fma.f64 i 50 100))))
(fma.f64 n 100 (*.f64 n (*.f64 i 50)))
(fma.f64 100 n (*.f64 n (*.f64 i 50)))
Outputs
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
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(*.f64 (/.f64 n (fma.f64 i -50 100)) (-.f64 10000 (*.f64 (*.f64 i i) 2500)))
(*.f64 n (/.f64 (fma.f64 (*.f64 i i) 2500 -10000) (fma.f64 50 i -100)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 n (*.f64 i 50)) 3)) 1) (+.f64 (*.f64 (*.f64 n n) 10000) (*.f64 (*.f64 n (*.f64 i 50)) (-.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100)))))
(/.f64 (+.f64 (*.f64 (pow.f64 n 3) 1000000) (pow.f64 (*.f64 n (*.f64 50 i)) 3)) (fma.f64 (*.f64 n n) 10000 (*.f64 n (*.f64 (*.f64 50 i) (*.f64 n (-.f64 (*.f64 50 i) 100))))))
(/.f64 (*.f64 (pow.f64 n 3) (fma.f64 (pow.f64 i 3) 125000 1000000)) (*.f64 n (+.f64 (*.f64 n 10000) (*.f64 50 (*.f64 i (*.f64 n (fma.f64 50 i -100)))))))
(*.f64 (/.f64 (pow.f64 n 3) n) (/.f64 (fma.f64 (pow.f64 i 3) 125000 1000000) (fma.f64 n 10000 (*.f64 (*.f64 50 i) (*.f64 n (fma.f64 50 i -100))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) (*.f64 n (sqrt.f64 (fma.f64 i 50 100)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))
(/.f64 (*.f64 n (sqrt.f64 (fma.f64 i 50 100))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 50 i) 2) (fma.f64 -5000 i 10000))) (sqrt.f64 (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 i 3) 125000 1000000)) (sqrt.f64 (+.f64 (*.f64 (*.f64 i i) 2500) (fma.f64 i -5000 10000)))) (*.f64 n (sqrt.f64 (fma.f64 50 i 100))))
(*.f64 (*.f64 n (sqrt.f64 (fma.f64 50 i 100))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 i 3) 125000 1000000)) (sqrt.f64 (fma.f64 i -5000 (fma.f64 (*.f64 i i) 2500 10000)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) (*.f64 n (sqrt.f64 (fma.f64 i 50 100)))) (sqrt.f64 (+.f64 100 (*.f64 i -50))))
(/.f64 (*.f64 n (sqrt.f64 (fma.f64 i 50 100))) (/.f64 (sqrt.f64 (+.f64 100 (*.f64 i -50))) (sqrt.f64 (-.f64 10000 (pow.f64 (*.f64 50 i) 2)))))
(*.f64 (/.f64 (*.f64 n (sqrt.f64 (fma.f64 50 i 100))) (sqrt.f64 (fma.f64 i -50 100))) (sqrt.f64 (-.f64 10000 (*.f64 (*.f64 i i) 2500))))
(*.f64 (*.f64 n (sqrt.f64 (fma.f64 50 i 100))) (/.f64 (sqrt.f64 (+.f64 10000 (*.f64 (*.f64 i i) -2500))) (sqrt.f64 (fma.f64 i -50 100))))
(/.f64 (/.f64 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) 1) (+.f64 100 (*.f64 i -50)))
(/.f64 n (/.f64 (+.f64 100 (*.f64 i -50)) (-.f64 10000 (pow.f64 (*.f64 50 i) 2))))
(*.f64 (/.f64 n (fma.f64 i -50 100)) (-.f64 10000 (*.f64 (*.f64 i i) 2500)))
(*.f64 n (/.f64 (fma.f64 (*.f64 i i) 2500 -10000) (fma.f64 50 i -100)))
(/.f64 (/.f64 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) (sqrt.f64 (+.f64 100 (*.f64 i -50)))) (sqrt.f64 (+.f64 100 (*.f64 i -50))))
(/.f64 n (/.f64 (+.f64 100 (*.f64 i -50)) (-.f64 10000 (pow.f64 (*.f64 50 i) 2))))
(*.f64 (/.f64 n (fma.f64 i -50 100)) (-.f64 10000 (*.f64 (*.f64 i i) 2500)))
(*.f64 n (/.f64 (fma.f64 (*.f64 i i) 2500 -10000) (fma.f64 50 i -100)))
(/.f64 (/.f64 (*.f64 n (-.f64 10000 (pow.f64 (*.f64 i 50) 2))) (*.f64 (cbrt.f64 (+.f64 100 (*.f64 i -50))) (cbrt.f64 (+.f64 100 (*.f64 i -50))))) (cbrt.f64 (+.f64 100 (*.f64 i -50))))
(/.f64 n (/.f64 (+.f64 100 (*.f64 i -50)) (-.f64 10000 (pow.f64 (*.f64 50 i) 2))))
(*.f64 (/.f64 n (fma.f64 i -50 100)) (-.f64 10000 (*.f64 (*.f64 i i) 2500)))
(*.f64 n (/.f64 (fma.f64 (*.f64 i i) 2500 -10000) (fma.f64 50 i -100)))
(/.f64 (/.f64 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) 1) (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)))
(/.f64 n (/.f64 (+.f64 (pow.f64 (*.f64 50 i) 2) (fma.f64 -5000 i 10000)) (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))))
(*.f64 n (/.f64 (fma.f64 (pow.f64 i 3) 125000 1000000) (+.f64 (*.f64 (*.f64 i i) 2500) (fma.f64 i -5000 10000))))
(*.f64 n (/.f64 (fma.f64 (pow.f64 i 3) 125000 1000000) (fma.f64 i -5000 (fma.f64 (*.f64 i i) 2500 10000))))
(/.f64 (/.f64 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))
(/.f64 n (/.f64 (+.f64 (pow.f64 (*.f64 50 i) 2) (fma.f64 -5000 i 10000)) (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))))
(*.f64 n (/.f64 (fma.f64 (pow.f64 i 3) 125000 1000000) (+.f64 (*.f64 (*.f64 i i) 2500) (fma.f64 i -5000 10000))))
(*.f64 n (/.f64 (fma.f64 (pow.f64 i 3) 125000 1000000) (fma.f64 i -5000 (fma.f64 (*.f64 i i) 2500 10000))))
(/.f64 (/.f64 (*.f64 n (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 i 50) 2) (+.f64 (*.f64 -5000 i) 10000))))
(/.f64 n (/.f64 (+.f64 (pow.f64 (*.f64 50 i) 2) (fma.f64 -5000 i 10000)) (+.f64 1000000 (*.f64 (pow.f64 i 3) 125000))))
(*.f64 n (/.f64 (fma.f64 (pow.f64 i 3) 125000 1000000) (+.f64 (*.f64 (*.f64 i i) 2500) (fma.f64 i -5000 10000))))
(*.f64 n (/.f64 (fma.f64 (pow.f64 i 3) 125000 1000000) (fma.f64 i -5000 (fma.f64 (*.f64 i i) 2500 10000))))
(/.f64 (-.f64 (pow.f64 (*.f64 n (*.f64 i 50)) 2) (*.f64 (*.f64 n n) 10000)) (-.f64 (*.f64 n (*.f64 i 50)) (*.f64 n 100)))
(/.f64 (-.f64 (pow.f64 (*.f64 n (*.f64 50 i)) 2) (*.f64 n (*.f64 n 10000))) (*.f64 n (-.f64 (*.f64 50 i) 100)))
(/.f64 (+.f64 (pow.f64 (*.f64 n (*.f64 50 i)) 2) (*.f64 (*.f64 n n) -10000)) (*.f64 n (fma.f64 50 i -100)))
(/.f64 (-.f64 (*.f64 n (*.f64 (*.f64 i i) 2500)) (*.f64 n 10000)) (fma.f64 50 i -100))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100)))) (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100)))) 1))
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100)))) 1) (*.f64 n (fma.f64 i 50 100))) (+.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100)))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 n (fma.f64 50 i 100))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 50 i 100)))) 1))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (*.f64 n (fma.f64 50 i 100))) 2)) (+.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 50 i 100)))) 1))
(pow.f64 (*.f64 n (fma.f64 i 50 100)) 1)
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(pow.f64 (sqrt.f64 (*.f64 n (fma.f64 i 50 100))) 2)
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(pow.f64 (cbrt.f64 (*.f64 n (fma.f64 i 50 100))) 3)
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(pow.f64 (pow.f64 (*.f64 n (fma.f64 i 50 100)) 3) 1/3)
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(sqrt.f64 (pow.f64 (*.f64 n (fma.f64 i 50 100)) 2))
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(log.f64 (pow.f64 (exp.f64 n) (fma.f64 i 50 100)))
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (fma.f64 i 50 100)))))
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(cbrt.f64 (pow.f64 (*.f64 n (fma.f64 i 50 100)) 3))
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 i 50 100) 3) (pow.f64 n 3)))
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(expm1.f64 (log1p.f64 (*.f64 n (fma.f64 i 50 100))))
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(exp.f64 (log.f64 (*.f64 n (fma.f64 i 50 100))))
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(log1p.f64 (expm1.f64 (*.f64 n (fma.f64 i 50 100))))
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(fma.f64 n 100 (*.f64 n (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))
(fma.f64 100 n (*.f64 n (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(*.f64 n (fma.f64 50 i 100))

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(*.f64 n (expm1.f64 i))
0.59%
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
13.5%
(/.f64 i (*.f64 n (expm1.f64 i)))
Compiler

Compiled 25 to 8 computations (68% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
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)))

rewrite80.0ms (0.5%)

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
01051
121251
2279751
Stop Event
node limit
Counts
3 → 157
Calls
Call 1
Inputs
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
(*.f64 n (expm1.f64 i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 i (*.f64 n (expm1.f64 i))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (/.f64 1 (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (neg.f64 (/.f64 -1 (*.f64 n (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (*.f64 n (expm1.f64 i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 i (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) (/.f64 1 (*.f64 n (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2) (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) (/.f64 1 (*.f64 n (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i n) (/.f64 1 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 n (expm1.f64 i))) i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 i) (/.f64 -1 (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 i 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 i)) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 n (expm1.f64 i)))) (/.f64 i (sqrt.f64 (*.f64 n (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2)) (/.f64 i (cbrt.f64 (*.f64 n (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (cbrt.f64 (*.f64 n (expm1.f64 i)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i))))) (neg.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify96.0ms (0.5%)

Algorithm
egg-herbie
Rules
736×distribute-rgt-neg-out
728×distribute-lft-neg-out
666×associate-*r*
626×distribute-lft-neg-in
538×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03965327
110765043
245605031
Stop Event
node limit
Counts
229 → 248
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)))
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(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)))))
(+.f64 (*.f64 n (exp.f64 i)) (neg.f64 n))
(+.f64 (*.f64 (exp.f64 i) n) (neg.f64 n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (expm1.f64 i)))) 1)
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1) n) (+.f64 1 (exp.f64 i)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 i) 3) 1) n) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (exp.f64 i))))
(pow.f64 (*.f64 n (expm1.f64 i)) 1)
(pow.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) 2)
(pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 3)
(pow.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 3) 1/3)
(neg.f64 (*.f64 n (neg.f64 (expm1.f64 i))))
(sqrt.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 2))
(log.f64 (pow.f64 (exp.f64 n) (expm1.f64 i)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (expm1.f64 i)))))
(cbrt.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 3))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (*.f64 n (expm1.f64 i))))
(exp.f64 (log.f64 (*.f64 n (expm1.f64 i))))
(log1p.f64 (expm1.f64 (*.f64 n (expm1.f64 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 1/12 (/.f64 i (/.f64 n 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 i (/.f64 n i)) (fma.f64 -1/2 (/.f64 i n) (/.f64 -1/720 (/.f64 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)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(+.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))))
(fma.f64 50 (*.f64 n i) (*.f64 n (+.f64 100 (*.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)))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (*.f64 n (+.f64 100 (*.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 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n i)
(+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))
(fma.f64 n i (*.f64 (*.f64 n (*.f64 i i)) 1/2))
(fma.f64 n i (*.f64 (*.f64 i i) (*.f64 n 1/2)))
(*.f64 i (+.f64 n (*.f64 (*.f64 n 1/2) i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2)))))
(fma.f64 1/6 (*.f64 n (pow.f64 i 3)) (fma.f64 n i (*.f64 (*.f64 n (*.f64 i i)) 1/2)))
(fma.f64 (*.f64 n (pow.f64 i 3)) 1/6 (fma.f64 n i (*.f64 (*.f64 i i) (*.f64 n 1/2))))
(fma.f64 (*.f64 n (pow.f64 i 3)) 1/6 (*.f64 i (+.f64 n (*.f64 (*.f64 n 1/2) i))))
(+.f64 (*.f64 1/24 (*.f64 n (pow.f64 i 4))) (+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))))
(fma.f64 1/24 (*.f64 n (pow.f64 i 4)) (fma.f64 1/6 (*.f64 n (pow.f64 i 3)) (fma.f64 n i (*.f64 (*.f64 n (*.f64 i i)) 1/2))))
(fma.f64 1/24 (*.f64 n (pow.f64 i 4)) (fma.f64 (*.f64 n (pow.f64 i 3)) 1/6 (fma.f64 n i (*.f64 (*.f64 i i) (*.f64 n 1/2)))))
(fma.f64 1/24 (*.f64 n (pow.f64 i 4)) (fma.f64 (*.f64 n (pow.f64 i 3)) 1/6 (*.f64 i (+.f64 n (*.f64 (*.f64 n 1/2) i)))))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(-.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 (cbrt.f64 (/.f64 (/.f64 i n) (expm1.f64 i))) (/.f64 (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)))
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(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (/.f64 100 i)) (sqrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (/.f64 100 i)) (cbrt.f64 (*.f64 n (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
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(*.f64 (/.f64 1 i) (*.f64 (*.f64 n (expm1.f64 i)) 100))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.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 100 (/.f64 (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 (expm1.f64 i) (/.f64 n i)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 i 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 (expm1.f64 i) (/.f64 n i)))
(*.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 (expm1.f64 i) (/.f64 n i)))
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (/.f64 1 (neg.f64 i)) (*.f64 100 (*.f64 n (neg.f64 (expm1.f64 i)))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
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(*.f64 (*.f64 n (/.f64 100 i)) (expm1.f64 i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
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(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
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(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
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(*.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)))
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(*.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)))
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(*.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 (*.f64 100 (sqrt.f64 (expm1.f64 i))) (/.f64 i n)) (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 (expm1.f64 i) (/.f64 n i)))
(*.f64 (/.f64 (/.f64 100 i) 1) (*.f64 n (expm1.f64 i)))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
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(*.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 (expm1.f64 i) (/.f64 n i)))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 n)) (expm1.f64 i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 (expm1.f64 i))) n)
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.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 (expm1.f64 i) (/.f64 n 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 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.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 (expm1.f64 i) (/.f64 n i)))
(*.f64 (/.f64 -100 (/.f64 i (neg.f64 n))) (expm1.f64 i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (/.f64 -100 i) (*.f64 n (neg.f64 (expm1.f64 i))))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n 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 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.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 (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 (*.f64 100 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) (/.f64 (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 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 (expm1.f64 i) (/.f64 n i)))) (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 (expm1.f64 i) (/.f64 n i)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 i 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 (cbrt.f64 (*.f64 n (expm1.f64 i))) (/.f64 100 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 i 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 100 (*.f64 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 2) (cbrt.f64 (/.f64 i n)))))
(*.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 100 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 i 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 100 (*.f64 (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 (pow.f64 (cbrt.f64 (/.f64 (/.f64 i n) (expm1.f64 i))) 2) (cbrt.f64 (neg.f64 i)))) (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 (expm1.f64 i) (/.f64 n i)))
(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 (expm1.f64 i) (/.f64 n i)))
(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 (expm1.f64 i) (/.f64 n i)))
(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 (expm1.f64 i) (/.f64 n i)))
(pow.f64 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 i) 100)) -1)
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(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 (expm1.f64 i) (/.f64 n i)))
(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 (expm1.f64 i) (/.f64 n i))))
(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 (expm1.f64 i) (/.f64 n i)))
(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 (expm1.f64 i) (/.f64 n i)))
(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 (expm1.f64 i) (/.f64 n i)))
(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 (expm1.f64 i) (/.f64 n i)))
(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 (expm1.f64 i) (/.f64 n i)))
(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 (expm1.f64 i) (/.f64 n i)))
(+.f64 (*.f64 n (exp.f64 i)) (neg.f64 n))
(*.f64 n (expm1.f64 i))
(+.f64 (*.f64 (exp.f64 i) n) (neg.f64 n))
(*.f64 n (expm1.f64 i))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (expm1.f64 i)))) 1)
(*.f64 n (expm1.f64 i))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1) n) (+.f64 1 (exp.f64 i)))
(/.f64 (+.f64 (exp.f64 (+.f64 i i)) -1) (/.f64 (+.f64 1 (exp.f64 i)) n))
(*.f64 (/.f64 (expm1.f64 (+.f64 i i)) (+.f64 1 (exp.f64 i))) n)
(/.f64 (expm1.f64 (+.f64 i i)) (/.f64 (+.f64 1 (exp.f64 i)) n))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 i) 3) 1) n) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (exp.f64 i))))
(/.f64 (+.f64 (pow.f64 (exp.f64 i) 3) -1) (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 1 (exp.f64 i))) n))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 i) 3)) (+.f64 1 (+.f64 (exp.f64 i) (exp.f64 (+.f64 i i))))) n)
(*.f64 (/.f64 (+.f64 -1 (exp.f64 (*.f64 i 3))) (+.f64 (exp.f64 i) (+.f64 1 (exp.f64 (+.f64 i i))))) n)
(pow.f64 (*.f64 n (expm1.f64 i)) 1)
(*.f64 n (expm1.f64 i))
(pow.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) 2)
(*.f64 n (expm1.f64 i))
(pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 3)
(*.f64 n (expm1.f64 i))
(pow.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 3) 1/3)
(*.f64 n (expm1.f64 i))
(neg.f64 (*.f64 n (neg.f64 (expm1.f64 i))))
(*.f64 n (expm1.f64 i))
(sqrt.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 2))
(fabs.f64 (*.f64 n (expm1.f64 i)))
(log.f64 (pow.f64 (exp.f64 n) (expm1.f64 i)))
(*.f64 n (expm1.f64 i))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (expm1.f64 i)))))
(*.f64 n (expm1.f64 i))
(cbrt.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 3))
(*.f64 n (expm1.f64 i))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 3) (pow.f64 n 3)))
(*.f64 n (expm1.f64 i))
(expm1.f64 (log1p.f64 (*.f64 n (expm1.f64 i))))
(*.f64 n (expm1.f64 i))
(exp.f64 (log.f64 (*.f64 n (expm1.f64 i))))
(*.f64 n (expm1.f64 i))
(log1p.f64 (expm1.f64 (*.f64 n (expm1.f64 i))))
(*.f64 n (expm1.f64 i))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.06%
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))
0.1%
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
0.12%
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
0.22%
(-.f64 (log.f64 i) (log.f64 n))
Compiler

Compiled 46 to 13 computations (71.7% saved)

series105.0ms (0.6%)

Counts
4 → 76
Calls

24 calls:

TimeVariablePointExpression
49.0ms
n
@0
(-.f64 (log.f64 i) (log.f64 n))
12.0ms
i
@0
(-.f64 (log.f64 i) (log.f64 n))
8.0ms
i
@inf
(-.f64 (log.f64 i) (log.f64 n))
7.0ms
i
@-inf
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))
6.0ms
n
@0
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))

rewrite112.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1268×associate-/r/
1062×distribute-rgt-in
1026×distribute-lft-in
950×associate-/l/
284×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01386
128086
2404286
Stop Event
node limit
Counts
4 → 309
Calls
Call 1
Inputs
(-.f64 (log.f64 i) (log.f64 n))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))
Outputs
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simplify136.0ms (0.8%)

Algorithm
egg-herbie
Rules
1262×associate-/l*
1032×*-commutative
822×distribute-lft-in
698×distribute-rgt-in
626×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081015217
1231414537
Stop Event
node limit
Counts
385 → 482
Calls
Call 1
Inputs
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(/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 1)
(/.f64 (*.f64 (*.f64 n 100) (-.f64 (pow.f64 (log.f64 i) 2) (pow.f64 (log.f64 n) 2))) (log.f64 (*.f64 i n)))
(/.f64 (*.f64 (*.f64 n 100) (-.f64 (pow.f64 (log.f64 i) 3) (pow.f64 (log.f64 n) 3))) (+.f64 (pow.f64 (log.f64 i) 2) (*.f64 (log.f64 n) (log.f64 (*.f64 i n)))))
(pow.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 1)
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(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) 3)
(pow.f64 (pow.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 2) 10000))
(log.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) 1)))
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 3))
(expm1.f64 (log1p.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))))
(exp.f64 (log.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) 1))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) 1))
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(+.f64 (*.f64 (*.f64 (*.f64 n 100) (log.f64 i)) (/.f64 n i)) (*.f64 (*.f64 (*.f64 n 100) (neg.f64 (log.f64 n))) (/.f64 n i)))
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(+.f64 (*.f64 (*.f64 n (log.f64 i)) (*.f64 100 (/.f64 n i))) (*.f64 (*.f64 n (neg.f64 (log.f64 n))) (*.f64 100 (/.f64 n i))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n)))))) 1)
(*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))
(*.f64 (*.f64 n (log.f64 (/.f64 i n))) (*.f64 100 (/.f64 n i)))
(*.f64 100 (*.f64 (*.f64 n (log.f64 (/.f64 i n))) (/.f64 n i)))
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(*.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (/.f64 n i))
(*.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n)))) 1)
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(*.f64 (/.f64 10 (sqrt.f64 (/.f64 (/.f64 i n) (*.f64 n (log.f64 (/.f64 i n)))))) (/.f64 10 (sqrt.f64 (/.f64 (/.f64 i n) (*.f64 n (log.f64 (/.f64 i n)))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 2) 10000)) (*.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) (/.f64 n i)))
(*.f64 (cbrt.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))) (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))) 2) (cbrt.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))))
(*.f64 (*.f64 n 100) (*.f64 (log.f64 (/.f64 i n)) (/.f64 n i)))
(*.f64 (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))) n)
(*.f64 (/.f64 n i) (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)))
(*.f64 (*.f64 (*.f64 n (log.f64 (/.f64 i n))) -100) (*.f64 -1 (/.f64 n i)))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))) 1) n)
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))
(*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (cbrt.f64 i)))
(*.f64 (/.f64 1 i) (*.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) n))
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 n i))) (*.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (sqrt.f64 (/.f64 n i))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (*.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (cbrt.f64 (/.f64 n i))))
(*.f64 (*.f64 (*.f64 n (log.f64 (/.f64 i n))) (/.f64 n i)) 100)
(*.f64 (*.f64 (*.f64 n (log.f64 (/.f64 i n))) (sqrt.f64 (/.f64 n i))) (/.f64 100 (sqrt.f64 (/.f64 i n))))
(*.f64 (*.f64 100 (/.f64 n i)) (*.f64 n (log.f64 (/.f64 i n))))
(*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (neg.f64 i)) (neg.f64 n))
(*.f64 (/.f64 1 (neg.f64 i)) (*.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (neg.f64 n)))
(*.f64 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))) 100)
(*.f64 (*.f64 -1 (/.f64 n i)) (*.f64 (*.f64 n (log.f64 (/.f64 i n))) -100))
(*.f64 (/.f64 100 i) (*.f64 (*.f64 n (log.f64 (/.f64 i n))) n))
(*.f64 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i) (*.f64 n 100))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 10) 1) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 10) i) n))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 10) i) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 10) 1) n))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 2) 10000)) 1) (*.f64 (/.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) i) n))
(*.f64 (/.f64 (*.f64 n 100) 1) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) n))
(*.f64 (/.f64 100 (sqrt.f64 (/.f64 i n))) (*.f64 (*.f64 n (log.f64 (/.f64 i n))) (sqrt.f64 (/.f64 n i))))
(*.f64 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (*.f64 100 (cbrt.f64 (/.f64 n i))))
(*.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (*.f64 (*.f64 n (log.f64 (/.f64 i n))) (cbrt.f64 (/.f64 n i))))
(*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 10) i) n) (*.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 10))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 10) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (*.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 10) (cbrt.f64 (/.f64 i n))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 2) 10000)) i) (/.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) (/.f64 1 n)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 2) 10000)) (sqrt.f64 (/.f64 i n))) (/.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) (sqrt.f64 (/.f64 i n))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 2) 10000)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))))
(*.f64 (/.f64 (*.f64 n 100) i) (/.f64 (log.f64 (/.f64 i n)) (/.f64 1 n)))
(*.f64 (/.f64 (*.f64 n 100) (sqrt.f64 (/.f64 i n))) (/.f64 (log.f64 (/.f64 i n)) (sqrt.f64 (/.f64 i n))))
(*.f64 (/.f64 (*.f64 n 100) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (log.f64 (/.f64 i n)) (cbrt.f64 (/.f64 i n))))
(*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) -1) (neg.f64 (/.f64 n i)))
(*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (neg.f64 (neg.f64 i))) (neg.f64 (neg.f64 n)))
(*.f64 (/.f64 100 (neg.f64 i)) (*.f64 (*.f64 n (log.f64 (/.f64 i n))) (neg.f64 n)))
(*.f64 (/.f64 100 (/.f64 (neg.f64 i) n)) (neg.f64 (*.f64 n (log.f64 (/.f64 i n)))))
(*.f64 (/.f64 100 (/.f64 i (*.f64 n n))) (log.f64 (/.f64 i n)))
(*.f64 (/.f64 100 (/.f64 (/.f64 i n) (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))))) (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))))
(*.f64 (/.f64 100 (/.f64 i (*.f64 (pow.f64 (cbrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 2) n))) (cbrt.f64 (*.f64 n (log.f64 (/.f64 i n)))))
(*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (/.f64 i 1)) n)
(*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (/.f64 i (sqrt.f64 n))) (sqrt.f64 n))
(*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (/.f64 i (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(*.f64 (/.f64 1 (/.f64 i (*.f64 n 100))) (*.f64 n (log.f64 (/.f64 i n))))
(*.f64 (/.f64 1 (/.f64 i (*.f64 (*.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 10) n))) (*.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 10))
(*.f64 (/.f64 1 (/.f64 i (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 2) 10000)) n))) (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))))
(*.f64 (/.f64 1 (/.f64 i (*.f64 (*.f64 n 100) n))) (log.f64 (/.f64 i n)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 2) 10000)) (/.f64 i n)) (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))))
(*.f64 (/.f64 (*.f64 n 100) (/.f64 i n)) (log.f64 (/.f64 i n)))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))) 1) n)
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))) 1) (/.f64 n 1))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))) (/.f64 1 (sqrt.f64 n))) (sqrt.f64 n))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))) -1) (neg.f64 n))
(*.f64 (/.f64 (*.f64 (*.f64 n (log.f64 (/.f64 i n))) -100) -1) (/.f64 n i))
(*.f64 (/.f64 (*.f64 (*.f64 n (log.f64 (/.f64 i n))) -100) (neg.f64 (neg.f64 i))) (neg.f64 n))
(*.f64 (/.f64 (*.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (sqrt.f64 (/.f64 n i))) 1) (sqrt.f64 (/.f64 n i)))
(*.f64 (/.f64 (*.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (sqrt.f64 (/.f64 n i))) (sqrt.f64 i)) (sqrt.f64 n))
(*.f64 (/.f64 (*.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (sqrt.f64 (/.f64 n i))) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 n)))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) 1) (cbrt.f64 (/.f64 n i)))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 i)) (cbrt.f64 n))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (neg.f64 i))) (cbrt.f64 (neg.f64 n)))
(pow.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n)))) 1)
(pow.f64 (/.f64 10 (sqrt.f64 (/.f64 (/.f64 i n) (*.f64 n (log.f64 (/.f64 i n)))))) 2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))) 3)
(pow.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n)))) 3) 1/3)
(pow.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (*.f64 n (log.f64 (/.f64 i n))))) -1)
(neg.f64 (*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (neg.f64 i)) n))
(sqrt.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n)))) 2))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)) 1)))
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 3) (pow.f64 (/.f64 i n) 3)))
(expm1.f64 (log1p.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))))
(exp.f64 (log.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))) 1))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)) 1))
Outputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 n))
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(*.f64 (/.f64 (*.f64 n (*.f64 100 (log.f64 (/.f64 i n)))) (*.f64 (cbrt.f64 (neg.f64 i)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2))) (cbrt.f64 (neg.f64 n)))
(/.f64 (*.f64 100 (/.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2))) (/.f64 (cbrt.f64 (neg.f64 i)) (cbrt.f64 (neg.f64 n))))
(pow.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n)))) 1)
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (log.f64 (/.f64 i n)))))
(*.f64 n (*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (/.f64 100 i)))
(pow.f64 (/.f64 10 (sqrt.f64 (/.f64 (/.f64 i n) (*.f64 n (log.f64 (/.f64 i n)))))) 2)
(pow.f64 (/.f64 10 (sqrt.f64 (/.f64 (/.f64 i (*.f64 n n)) (log.f64 (/.f64 i n))))) 2)
(pow.f64 (/.f64 10 (sqrt.f64 (/.f64 i (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))))) 2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))) 3)
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (log.f64 (/.f64 i n)))))
(*.f64 n (*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (/.f64 100 i)))
(pow.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n)))) 3) 1/3)
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (log.f64 (/.f64 i n)))))
(*.f64 n (*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (/.f64 100 i)))
(pow.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (*.f64 n (log.f64 (/.f64 i n))))) -1)
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (log.f64 (/.f64 i n)))))
(*.f64 n (*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (/.f64 100 i)))
(neg.f64 (*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (neg.f64 i)) n))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (log.f64 (/.f64 i n)))))
(*.f64 n (*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (/.f64 100 i)))
(sqrt.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n)))) 2))
(sqrt.f64 (pow.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i)))) 2))
(sqrt.f64 (pow.f64 (*.f64 n (*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (/.f64 100 i))) 2))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (log.f64 (/.f64 i n)))))
(*.f64 n (*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (/.f64 100 i)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)) 1)))
(log1p.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i))))
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n)))) 3))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (log.f64 (/.f64 i n)))))
(*.f64 n (*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (/.f64 100 i)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 3) (pow.f64 (/.f64 i n) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 100 (log.f64 (/.f64 i n)))) 3) (pow.f64 (/.f64 i n) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 100 (log.f64 (pow.f64 (/.f64 i n) n))) 3) (pow.f64 (/.f64 i n) 3)))
(expm1.f64 (log1p.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (log.f64 (/.f64 i n)))))
(*.f64 n (*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (/.f64 100 i)))
(exp.f64 (log.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (log.f64 (/.f64 i n)))))
(*.f64 n (*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (/.f64 100 i)))
(exp.f64 (*.f64 (log.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))) 1))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (log.f64 (/.f64 i n)))))
(*.f64 n (*.f64 (log.f64 (pow.f64 (/.f64 i n) n)) (/.f64 100 i)))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)) 1))
(log1p.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i))))

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.22%
(*.f64 n (log.f64 (*.f64 (/.f64 1 n) i)))
0.32%
(*.f64 (/.f64 1 n) i)
2.72%
(exp.f64 (log.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i)))))
28.62%
(log.f64 (*.f64 (/.f64 1 n) i))
Compiler

Compiled 103 to 70 computations (32% saved)

series60.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
13.0ms
i
@0
(log.f64 (*.f64 (/.f64 1 n) i))
12.0ms
n
@-inf
(log.f64 (*.f64 (/.f64 1 n) i))
9.0ms
i
@inf
(log.f64 (*.f64 (/.f64 1 n) i))
8.0ms
i
@-inf
(log.f64 (*.f64 (/.f64 1 n) i))
7.0ms
n
@0
(log.f64 (*.f64 (/.f64 1 n) i))

rewrite85.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1986×add-sqr-sqrt
1970×*-un-lft-identity
1826×add-cube-cbrt
1796×add-cbrt-cube
202×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252
122352
2250352
Stop Event
node limit
Counts
4 → 98
Calls
Call 1
Inputs
(log.f64 (*.f64 (/.f64 1 n) i))
(exp.f64 (log.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i)))))
(*.f64 (/.f64 1 n) i)
(*.f64 n (log.f64 (*.f64 (/.f64 1 n) i)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 n)) (log.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 i) (neg.f64 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (log.f64 (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 i n))) (log.f64 (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (log.f64 n)) 1) (*.f64 (log.f64 i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 i) (log.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 i n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 i n))) (sqrt.f64 (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 i n))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 i n))) 2) (cbrt.f64 (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n))) (*.f64 (log.f64 i) (log.f64 i))) (-.f64 (neg.f64 (log.f64 n)) (log.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 n)) 3) (pow.f64 (log.f64 i) 3)) (+.f64 (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n))) (-.f64 (*.f64 (log.f64 i) (log.f64 i)) (*.f64 (neg.f64 (log.f64 n)) (log.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 i n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 i n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 i n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 i n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 i n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 i n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 i n) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (neg.f64 (log.f64 n))) (*.f64 n (log.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (log.f64 n)) n) (*.f64 (log.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (log.f64 (/.f64 i n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 n (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (log.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 i n)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (log.f64 (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 i n))) (*.f64 (sqrt.f64 (log.f64 (/.f64 i n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 i n))) 2) (*.f64 (cbrt.f64 (log.f64 (/.f64 i n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) (pow.f64 (cbrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 2) (cbrt.f64 (*.f64 n (log.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (sqrt.f64 (log.f64 (/.f64 i n)))) (sqrt.f64 (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (pow.f64 (cbrt.f64 (log.f64 (/.f64 i n))) 2)) (cbrt.f64 (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 i n)) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 i n)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 n (log.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 n (log.f64 (/.f64 i n)))))) (sqrt.f64 (log.f64 (*.f64 n (log.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 n (log.f64 (/.f64 i n))))) 2)) (cbrt.f64 (log.f64 (*.f64 n (log.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 i n) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 i n) n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (log.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (/.f64 i n) n) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 i n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 i) (/.f64 n (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 i) 2) (/.f64 n (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i -1) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 i) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 i 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 i (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 i (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 i) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 i n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 i n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 i n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 i n)))) (sqrt.f64 (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 i n))) 2)) (cbrt.f64 (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 i n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 i n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 i n)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (neg.f64 (log.f64 n))) (*.f64 n (log.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (log.f64 n)) n) (*.f64 (log.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (log.f64 (/.f64 i n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 n (log.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 n (log.f64 (/.f64 i n)))))) (sqrt.f64 (log.f64 (*.f64 n (log.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 n (log.f64 (/.f64 i n))))) 2)) (cbrt.f64 (log.f64 (*.f64 n (log.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 i n) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 i n) n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 i n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (log.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (log.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (/.f64 i n) n) 1))))))

simplify86.0ms (0.5%)

Algorithm
egg-herbie
Rules
972×associate-+r-
940×associate-+l-
780×fma-def
706×*-commutative
618×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02032984
14762948
222562948
365182948
Stop Event
node limit
Counts
194 → 101
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))
(+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))
(+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))
(+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))
(+.f64 (log.f64 (/.f64 1 n)) (log.f64 i))
(+.f64 (log.f64 (/.f64 1 n)) (log.f64 i))
(+.f64 (log.f64 (/.f64 1 n)) (log.f64 i))
(+.f64 (log.f64 (/.f64 1 n)) (log.f64 i))
(+.f64 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 -1 i)))
(+.f64 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 -1 i)))
(+.f64 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 -1 i)))
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 i n))) 2) (cbrt.f64 (log.f64 (/.f64 i n))))
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n))) (*.f64 (log.f64 i) (log.f64 i))) (-.f64 (neg.f64 (log.f64 n)) (log.f64 i)))
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(pow.f64 (pow.f64 (log.f64 (/.f64 i n)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 i n)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 i n)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 i n))))
(exp.f64 (log.f64 (log.f64 (/.f64 i n))))
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Outputs
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(log.f64 (/.f64 i n))
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(exp.f64 (log.f64 (*.f64 n (log.f64 (/.f64 i n)))))
(*.f64 n (log.f64 (/.f64 i n)))
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eval305.0ms (1.7%)

Compiler

Compiled 23561 to 11505 computations (51.2% saved)

prune421.0ms (2.4%)

Pruning

56 alts after pruning (52 fresh and 4 done)

PrunedKeptTotal
New1251251276
Fresh92736
Picked101
Done145
Total1262561318
Error
0.92%
Counts
1318 → 56
Alt Table
Click to see full alt table
StatusErrorProgram
45.35%
(fma.f64 100 (/.f64 (*.f64 1/3 (*.f64 i i)) n) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
54.5%
(fma.f64 100 (*.f64 n (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))))) (*.f64 100 (+.f64 n (*.f64 n (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))))
45.15%
(fma.f64 100 (*.f64 n (*.f64 1/3 (*.f64 (/.f64 (/.f64 i n) n) i))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
92.13%
(pow.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n)))) 3) 1/3)
72.11%
(pow.f64 (*.f64 n (*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100)) 1)
86.79%
(pow.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (*.f64 n (log.f64 (/.f64 i n))))) -1)
86.41%
(/.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) 3) (/.f64 i n))
88.18%
(/.f64 (+.f64 (*.f64 (*.f64 n 100) (neg.f64 (log.f64 n))) (*.f64 (*.f64 n 100) (log.f64 i))) (/.f64 i n))
88.17%
(/.f64 (*.f64 (*.f64 n 100) (-.f64 (neg.f64 (neg.f64 (log.f64 i))) (log.f64 n))) (/.f64 i n))
29.86%
(/.f64 (*.f64 (expm1.f64 i) (*.f64 100 n)) i)
72.38%
(/.f64 (*.f64 n (/.f64 (+.f64 (*.f64 (exp.f64 i) 100) -100) i)) 1)
44.51%
(/.f64 (*.f64 n (/.f64 (*.f64 100 i) i)) 1)
73.73%
(/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i 100))
80.54%
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
87.78%
(/.f64 (*.f64 100 (+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))) (/.f64 i n))
89.06%
(/.f64 (*.f64 100 (+.f64 (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (pow.f64 n 3) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))))))) (/.f64 i n))
78.56%
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
88.17%
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))
86.34%
(/.f64 (*.f64 100 (*.f64 n (*.f64 (log.f64 (cbrt.f64 (/.f64 i n))) 3))) (/.f64 i n))
86.34%
(/.f64 (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))) (/.f64 i n))
50.69%
(/.f64 (*.f64 100 i) (/.f64 i n))
24.75%
(/.f64 n (/.f64 (/.f64 i (expm1.f64 i)) 100))
72.13%
(/.f64 100 (/.f64 i (+.f64 (*.f64 (exp.f64 i) n) (neg.f64 n))))
29.44%
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
49.84%
(/.f64 100 (/.f64 i (*.f64 n i)))
44.6%
(/.f64 100 (/.f64 1 n))
29.9%
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
96.23%
(/.f64 100/3 (/.f64 n (*.f64 i i)))
45.16%
(+.f64 (*.f64 i -50) (*.f64 100 n))
25.67%
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 (expm1.f64 i))) n)
86.33%
(*.f64 (/.f64 (*.f64 (*.f64 n (log.f64 (/.f64 i n))) -100) -1) (/.f64 n i))
86.43%
(*.f64 (/.f64 (*.f64 n 100) (/.f64 i n)) (log.f64 (/.f64 i n)))
43.65%
(*.f64 (/.f64 -100 (/.f64 i (neg.f64 n))) (expm1.f64 i))
86.37%
(*.f64 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))) 100)
44.27%
(*.f64 (*.f64 n (/.f64 100 i)) (expm1.f64 i))
86.33%
(*.f64 (*.f64 n (log.f64 (/.f64 i n))) (*.f64 100 (/.f64 n i)))
86.34%
(*.f64 (*.f64 n 100) (*.f64 (log.f64 (/.f64 i n)) (/.f64 n i)))
44.98%
(*.f64 n (+.f64 100 (*.f64 i 50)))
72.12%
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (/.f64 i n) n))))
94.04%
(*.f64 n (*.f64 50 i))
44.39%
(*.f64 n 100)
86.32%
(*.f64 100 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))) (/.f64 (/.f64 i n) n)))
32.14%
(*.f64 100 (+.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))
50.83%
(*.f64 100 (+.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i)) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) n))
54.5%
(*.f64 100 (+.f64 n (*.f64 n (+.f64 (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3))))))))))
44.91%
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))
72.08%
(*.f64 100 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i)))
79.97%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 n)) n) (*.f64 (log.f64 (neg.f64 i)) n))) i)))
80.01%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 n))) 2) (cbrt.f64 (log.f64 (/.f64 -1 n))) (log.f64 (neg.f64 i))))) i)))
95.56%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 i))))))) i)))
95.57%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (/.f64 -1 i)))) (sqrt.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 i n))))) i)))
95.58%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (*.f64 i (/.f64 1 n))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (/.f64 -1 i)))) (sqrt.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 i))))))) i)))
44.98%
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i 1/2))))
24.84%
(*.f64 100 (*.f64 n (*.f64 (/.f64 1 i) (expm1.f64 i))))
94.04%
(*.f64 50 (*.f64 n i))
90.31%
(exp.f64 (log.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))))
Compiler

Compiled 1951 to 1368 computations (29.9% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(/.f64 i (expm1.f64 i))
0.01%
(/.f64 (/.f64 i (expm1.f64 i)) 100)
0.26%
(/.f64 n (/.f64 (/.f64 i (expm1.f64 i)) 100))
Compiler

Compiled 25 to 10 computations (60% saved)

series3.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
i
@inf
(/.f64 i (expm1.f64 i))
0.0ms
i
@-inf
(/.f64 (/.f64 i (expm1.f64 i)) 100)
0.0ms
i
@inf
(/.f64 (/.f64 i (expm1.f64 i)) 100)
0.0ms
i
@-inf
(/.f64 i (expm1.f64 i))
0.0ms
i
@0
(/.f64 (/.f64 i (expm1.f64 i)) 100)

rewrite95.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1122×*-commutative
1048×associate-/r/
698×swap-sqr
696×associate-/l/
668×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051
121951
2300651
Stop Event
node limit
Counts
3 → 262
Calls
Call 1
Inputs
(/.f64 n (/.f64 (/.f64 i (expm1.f64 i)) 100))
(/.f64 (/.f64 i (expm1.f64 i)) 100)
(/.f64 i (expm1.f64 i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (*.f64 (expm1.f64 i) (/.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (*.f64 (expm1.f64 i) (/.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) 100) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) (/.f64 n 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) (/.f64 n 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -100 (*.f64 (/.f64 n i) (neg.f64 (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 n) (*.f64 (/.f64 (expm1.f64 i) i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 n) (*.f64 (expm1.f64 i) (/.f64 100 i))) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 n) (*.f64 (expm1.f64 i) (/.f64 100 i))) (pow.f64 (cbrt.f64 n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n 1) (*.f64 (expm1.f64 i) (/.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n 1) (/.f64 (*.f64 (expm1.f64 i) 100) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (sqrt.f64 (/.f64 i (expm1.f64 i)))) (*.f64 100 (sqrt.f64 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2)) (/.f64 100 (cbrt.f64 (/.f64 i (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (sqrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))) (*.f64 1 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)))) (/.f64 n (sqrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 2)) (/.f64 n (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n 1/100) (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (neg.f64 i)) (*.f64 (expm1.f64 i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 n i) (neg.f64 (expm1.f64 i))) -100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (*.f64 n (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) 1) (*.f64 (/.f64 (sqrt.f64 n) i) (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 n) i) (expm1.f64 i)) (/.f64 (sqrt.f64 n) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (*.f64 (/.f64 (cbrt.f64 n) i) (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) 1/100) (*.f64 (/.f64 (sqrt.f64 n) i) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 n) i) (*.f64 (expm1.f64 i) 100)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 n) i) (*.f64 (expm1.f64 i) 100)) (/.f64 (sqrt.f64 n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))) (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 i (expm1.f64 i))) (/.f64 (cbrt.f64 n) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 n) 1/100) (/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 i (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 n) i) (*.f64 (expm1.f64 i) 100)) (/.f64 (pow.f64 (cbrt.f64 n) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))) (*.f64 (/.f64 (cbrt.f64 n) (sqrt.f64 (/.f64 i (expm1.f64 i)))) 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 n) (sqrt.f64 (/.f64 i (expm1.f64 i)))) 10) (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 2)) (cbrt.f64 (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (expm1.f64 i) i) -100) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (neg.f64 i)) (*.f64 n -100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n -1) (*.f64 (/.f64 (expm1.f64 i) i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (sqrt.f64 i)) (/.f64 (*.f64 (expm1.f64 i) 100) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 (expm1.f64 i) 100) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (*.f64 i 1/100)) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (*.f64 1/100 (neg.f64 i))) (neg.f64 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (/.f64 i 100)) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 i (*.f64 (sqrt.f64 n) (*.f64 (expm1.f64 i) 100)))) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 i (*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (expm1.f64 i) 100)))) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 n) (neg.f64 i)) (*.f64 (expm1.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 n) -1) (*.f64 (expm1.f64 i) (/.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 n) (/.f64 i (expm1.f64 i))) -100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 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simplify132.0ms (0.7%)

Algorithm
egg-herbie
Rules
1106×associate-*r*
956×associate-*l*
940×*-commutative
726×associate-/r*
696×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06147782
117587450
277907450
Stop Event
node limit
Counts
310 → 353
Calls
Call 1
Inputs
(*.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))
1/100
(+.f64 1/100 (*.f64 -1/200 i))
(+.f64 1/100 (+.f64 (*.f64 -1/200 i) (*.f64 1/1200 (pow.f64 i 2))))
(+.f64 1/100 (+.f64 (*.f64 -1/72000 (pow.f64 i 4)) (+.f64 (*.f64 -1/200 i) (*.f64 1/1200 (pow.f64 i 2)))))
(*.f64 1/100 (/.f64 i (-.f64 (exp.f64 i) 1)))
(*.f64 1/100 (/.f64 i (-.f64 (exp.f64 i) 1)))
(*.f64 1/100 (/.f64 i (-.f64 (exp.f64 i) 1)))
(*.f64 1/100 (/.f64 i (-.f64 (exp.f64 i) 1)))
(*.f64 1/100 (/.f64 i (-.f64 (exp.f64 i) 1)))
(*.f64 1/100 (/.f64 i (-.f64 (exp.f64 i) 1)))
(*.f64 1/100 (/.f64 i (-.f64 (exp.f64 i) 1)))
(*.f64 1/100 (/.f64 i (-.f64 (exp.f64 i) 1)))
1
(+.f64 1 (*.f64 -1/2 i))
(+.f64 1 (+.f64 (*.f64 1/12 (pow.f64 i 2)) (*.f64 -1/2 i)))
(+.f64 1 (+.f64 (*.f64 -1/720 (pow.f64 i 4)) (+.f64 (*.f64 1/12 (pow.f64 i 2)) (*.f64 -1/2 i))))
(/.f64 i (-.f64 (exp.f64 i) 1))
(/.f64 i (-.f64 (exp.f64 i) 1))
(/.f64 i (-.f64 (exp.f64 i) 1))
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(*.f64 (/.f64 (sqrt.f64 i) (*.f64 (expm1.f64 i) 100)) (sqrt.f64 i))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2) 100) (cbrt.f64 (/.f64 i (expm1.f64 i))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (expm1.f64 i) 100)) (cbrt.f64 i))
(*.f64 (/.f64 1/100 (expm1.f64 i)) i)
(*.f64 (/.f64 1/100 (sqrt.f64 (expm1.f64 i))) (/.f64 i (sqrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 1/100 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)) (/.f64 i (cbrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 1/100 (neg.f64 (expm1.f64 i))) (neg.f64 i))
(*.f64 (/.f64 1/100 (/.f64 (expm1.f64 i) 1)) i)
(*.f64 (/.f64 1/100 (/.f64 (expm1.f64 i) (sqrt.f64 i))) (sqrt.f64 i))
(*.f64 (/.f64 1/100 (/.f64 (expm1.f64 i) (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(*.f64 (/.f64 (*.f64 i 1/100) (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1)) (+.f64 1 (exp.f64 i)))
(*.f64 (/.f64 (*.f64 i 1/100) (-.f64 (pow.f64 (exp.f64 i) 3) 1)) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (exp.f64 i))))
(*.f64 (/.f64 (/.f64 i 100) (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1)) (+.f64 1 (exp.f64 i)))
(*.f64 (/.f64 (/.f64 i 100) (-.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 (/.f64 i (expm1.f64 i)) -1/100))) (sqrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) -1/100)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) -1/100)) (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) -1/100)))) (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) -1/100)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))) -1/10)) (sqrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 2))) (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))) (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))) (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100) 3) 1/6))
(*.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) -1/2) (pow.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) -1/2))
(pow.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100) 3) 1/3)
(pow.f64 (*.f64 (expm1.f64 i) (/.f64 100 i)) -1)
(neg.f64 (*.f64 (/.f64 i (expm1.f64 i)) -1/100))
(neg.f64 (/.f64 (*.f64 (/.f64 i (expm1.f64 i)) -1/100) 1))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 i (expm1.f64 i)) 2) 1/10000))
(log.f64 (exp.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)))
(exp.f64 (log.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 i (expm1.f64 i)) 1/100)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 i (expm1.f64 i)))) 1)
(*.f64 i (/.f64 1 (expm1.f64 i)))
(*.f64 i (neg.f64 (/.f64 -1 (expm1.f64 i))))
(*.f64 (/.f64 i (expm1.f64 i)) 1)
(*.f64 1 (/.f64 i (expm1.f64 i)))
(*.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))) (sqrt.f64 (/.f64 i (expm1.f64 i))))
(*.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))))))
(*.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) (/.f64 1 (expm1.f64 i))))
(*.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2))
(*.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2) (cbrt.f64 (/.f64 i (expm1.f64 i))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))))))
(*.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) (/.f64 1 (expm1.f64 i))))
(*.f64 (/.f64 1 (expm1.f64 i)) i)
(*.f64 (neg.f64 i) (/.f64 -1 (expm1.f64 i)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i))) (cbrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i)))) (neg.f64 (cbrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i)))))
(*.f64 (*.f64 (sqrt.f64 i) (/.f64 1 (expm1.f64 i))) (sqrt.f64 i))
(*.f64 (*.f64 (cbrt.f64 i) (/.f64 1 (expm1.f64 i))) (pow.f64 (cbrt.f64 i) 2))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 i))) (/.f64 i (sqrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)) (/.f64 i (cbrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 i (sqrt.f64 (expm1.f64 i))) (/.f64 1 (sqrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 i (cbrt.f64 (expm1.f64 i))) (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)))
(*.f64 -1 (/.f64 (neg.f64 i) (expm1.f64 i)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 i (expm1.f64 i)))) (neg.f64 (sqrt.f64 (/.f64 i (expm1.f64 i)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2)) (neg.f64 (cbrt.f64 (/.f64 i (expm1.f64 i)))))
(*.f64 (/.f64 -1 (expm1.f64 i)) (neg.f64 i))
(*.f64 (/.f64 (sqrt.f64 i) (expm1.f64 i)) (sqrt.f64 i))
(*.f64 (/.f64 (sqrt.f64 i) (expm1.f64 i)) (/.f64 (sqrt.f64 i) 1))
(*.f64 (/.f64 (cbrt.f64 i) (expm1.f64 i)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 1))
(*.f64 (/.f64 (sqrt.f64 i) 1) (/.f64 (sqrt.f64 i) (expm1.f64 i)))
(*.f64 (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)) (/.f64 (sqrt.f64 i) (cbrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 (sqrt.f64 i) (cbrt.f64 (expm1.f64 i))) (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) 1) (/.f64 (cbrt.f64 i) (expm1.f64 i)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (expm1.f64 i))) (/.f64 (cbrt.f64 i) (sqrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 (cbrt.f64 i) (sqrt.f64 (expm1.f64 i))) (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (expm1.f64 i))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)) (cbrt.f64 (/.f64 i (expm1.f64 i))))
(*.f64 (/.f64 i (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1)) (+.f64 1 (exp.f64 i)))
(*.f64 (/.f64 i (-.f64 (pow.f64 (exp.f64 i) 3) 1)) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (exp.f64 i))))
(*.f64 (/.f64 1 (/.f64 (expm1.f64 i) (sqrt.f64 i))) (sqrt.f64 i))
(*.f64 (/.f64 1 (/.f64 (expm1.f64 i) (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (expm1.f64 i)) (cbrt.f64 i))
(*.f64 (/.f64 (/.f64 i 1) (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1)) (+.f64 1 (exp.f64 i)))
(*.f64 (/.f64 (/.f64 i 1) (-.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 (neg.f64 i) (expm1.f64 i)))) (sqrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i))) (cbrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i))))) (cbrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))))) (sqrt.f64 (/.f64 i (expm1.f64 i))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2))) (cbrt.f64 (/.f64 i (expm1.f64 i))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 i (expm1.f64 i)))) (cbrt.f64 (/.f64 i (expm1.f64 i)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 i (expm1.f64 i)))) (cbrt.f64 (/.f64 i (expm1.f64 i)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) (sqrt.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))))) (*.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) (sqrt.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 3/2) (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 i (expm1.f64 i)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 i (expm1.f64 i)) 3) 1/6))
(*.f64 (pow.f64 (/.f64 (expm1.f64 i) i) -1/2) (pow.f64 (/.f64 (expm1.f64 i) i) -1/2))
(pow.f64 (/.f64 i (expm1.f64 i)) 1)
(pow.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))) 2)
(pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 3)
(pow.f64 (pow.f64 (/.f64 i (expm1.f64 i)) 3) 1/3)
(pow.f64 (/.f64 (expm1.f64 i) i) -1)
(neg.f64 (/.f64 (neg.f64 i) (expm1.f64 i)))
(neg.f64 (/.f64 (/.f64 (neg.f64 i) (expm1.f64 i)) 1))
(sqrt.f64 (pow.f64 (/.f64 i (expm1.f64 i)) 2))
(log.f64 (exp.f64 (/.f64 i (expm1.f64 i))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 i (expm1.f64 i)))))
(cbrt.f64 (pow.f64 (/.f64 i (expm1.f64 i)) 3))
(cbrt.f64 (/.f64 (pow.f64 i 3) (pow.f64 (expm1.f64 i) 3)))
(expm1.f64 (log1p.f64 (/.f64 i (expm1.f64 i))))
(exp.f64 (log.f64 (/.f64 i (expm1.f64 i))))
(log1p.f64 (expm1.f64 (/.f64 i (expm1.f64 i))))
Outputs
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 n i) (*.f64 100 n))
(fma.f64 100 n (*.f64 n (*.f64 i 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 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 100 n (*.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 100 n))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 100 n (*.f64 n (*.f64 (*.f64 i i) 50/3)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
1/100
(+.f64 1/100 (*.f64 -1/200 i))
(+.f64 1/100 (*.f64 i -1/200))
(fma.f64 i -1/200 1/100)
(+.f64 1/100 (+.f64 (*.f64 -1/200 i) (*.f64 1/1200 (pow.f64 i 2))))
(+.f64 1/100 (fma.f64 -1/200 i (*.f64 (*.f64 i i) 1/1200)))
(+.f64 (fma.f64 i -1/200 1/100) (*.f64 i (*.f64 i 1/1200)))
(+.f64 1/100 (+.f64 (*.f64 -1/72000 (pow.f64 i 4)) (+.f64 (*.f64 -1/200 i) (*.f64 1/1200 (pow.f64 i 2)))))
(+.f64 1/100 (fma.f64 -1/72000 (pow.f64 i 4) (fma.f64 -1/200 i (*.f64 (*.f64 i i) 1/1200))))
(+.f64 1/100 (fma.f64 -1/72000 (pow.f64 i 4) (fma.f64 i -1/200 (*.f64 i (*.f64 i 1/1200)))))
(*.f64 1/100 (/.f64 i (-.f64 (exp.f64 i) 1)))
(*.f64 1/100 (/.f64 i (expm1.f64 i)))
(*.f64 i (/.f64 1/100 (expm1.f64 i)))
(*.f64 1/100 (/.f64 i (-.f64 (exp.f64 i) 1)))
(*.f64 1/100 (/.f64 i (expm1.f64 i)))
(*.f64 i (/.f64 1/100 (expm1.f64 i)))
(*.f64 1/100 (/.f64 i (-.f64 (exp.f64 i) 1)))
(*.f64 1/100 (/.f64 i (expm1.f64 i)))
(*.f64 i (/.f64 1/100 (expm1.f64 i)))
(*.f64 1/100 (/.f64 i (-.f64 (exp.f64 i) 1)))
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(/.f64 (/.f64 i (sqrt.f64 (expm1.f64 i))) (sqrt.f64 (expm1.f64 i)))
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(*.f64 (/.f64 i (sqrt.f64 (expm1.f64 i))) (/.f64 1 (sqrt.f64 (expm1.f64 i))))
(/.f64 (/.f64 i (sqrt.f64 (expm1.f64 i))) (sqrt.f64 (expm1.f64 i)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)) (cbrt.f64 (/.f64 i (expm1.f64 i))))
(*.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) (pow.f64 (cbrt.f64 i) 2)) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))
(*.f64 (/.f64 i (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1)) (+.f64 1 (exp.f64 i)))
(*.f64 (+.f64 (exp.f64 i) 1) (/.f64 i (+.f64 (exp.f64 (+.f64 i i)) -1)))
(*.f64 (+.f64 (exp.f64 i) 1) (/.f64 i (expm1.f64 (+.f64 i i))))
(*.f64 (/.f64 i (-.f64 (pow.f64 (exp.f64 i) 3) 1)) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (exp.f64 i))))
(*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) 1)) (/.f64 i (+.f64 (pow.f64 (exp.f64 i) 3) -1)))
(*.f64 (+.f64 (exp.f64 i) (+.f64 1 (exp.f64 (+.f64 i i)))) (/.f64 i (+.f64 -1 (pow.f64 (exp.f64 i) 3))))
(*.f64 (/.f64 1 (/.f64 (expm1.f64 i) (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 i (expm1.f64 i))
(*.f64 (/.f64 1 (/.f64 (expm1.f64 i) (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(/.f64 i (expm1.f64 i))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (expm1.f64 i)) (cbrt.f64 i))
(/.f64 i (expm1.f64 i))
(*.f64 (/.f64 (/.f64 i 1) (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1)) (+.f64 1 (exp.f64 i)))
(*.f64 (+.f64 (exp.f64 i) 1) (/.f64 i (+.f64 (exp.f64 (+.f64 i i)) -1)))
(*.f64 (+.f64 (exp.f64 i) 1) (/.f64 i (expm1.f64 (+.f64 i i))))
(*.f64 (/.f64 (/.f64 i 1) (-.f64 (pow.f64 (exp.f64 i) 3) 1)) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (exp.f64 i))))
(*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) 1)) (/.f64 i (+.f64 (pow.f64 (exp.f64 i) 3) -1)))
(*.f64 (+.f64 (exp.f64 i) (+.f64 1 (exp.f64 (+.f64 i i)))) (/.f64 i (+.f64 -1 (pow.f64 (exp.f64 i) 3))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i)))) (sqrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i))))
(/.f64 i (expm1.f64 i))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i))) (cbrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i))))) (cbrt.f64 (/.f64 (neg.f64 i) (expm1.f64 i))))
(/.f64 i (expm1.f64 i))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))))) (sqrt.f64 (/.f64 i (expm1.f64 i))))
(/.f64 i (expm1.f64 i))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2))) (cbrt.f64 (/.f64 i (expm1.f64 i))))
(/.f64 i (expm1.f64 i))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 i (expm1.f64 i)))) (cbrt.f64 (/.f64 i (expm1.f64 i)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 i (expm1.f64 i)))) (cbrt.f64 (/.f64 i (expm1.f64 i)))))
(/.f64 i (expm1.f64 i))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i)))) (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) (sqrt.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))))) (*.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) (sqrt.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))))))
(/.f64 i (expm1.f64 i))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i)))) (cbrt.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 3/2) (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 3/2))
(/.f64 i (expm1.f64 i))
(*.f64 (pow.f64 (pow.f64 (/.f64 i (expm1.f64 i)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 i (expm1.f64 i)) 3) 1/6))
(/.f64 i (expm1.f64 i))
(*.f64 (pow.f64 (/.f64 (expm1.f64 i) i) -1/2) (pow.f64 (/.f64 (expm1.f64 i) i) -1/2))
(/.f64 i (expm1.f64 i))
(pow.f64 (/.f64 i (expm1.f64 i)) 1)
(/.f64 i (expm1.f64 i))
(pow.f64 (sqrt.f64 (/.f64 i (expm1.f64 i))) 2)
(/.f64 i (expm1.f64 i))
(pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 3)
(/.f64 i (expm1.f64 i))
(pow.f64 (pow.f64 (/.f64 i (expm1.f64 i)) 3) 1/3)
(/.f64 i (expm1.f64 i))
(pow.f64 (/.f64 (expm1.f64 i) i) -1)
(/.f64 i (expm1.f64 i))
(neg.f64 (/.f64 (neg.f64 i) (expm1.f64 i)))
(/.f64 i (expm1.f64 i))
(neg.f64 (/.f64 (/.f64 (neg.f64 i) (expm1.f64 i)) 1))
(/.f64 i (expm1.f64 i))
(sqrt.f64 (pow.f64 (/.f64 i (expm1.f64 i)) 2))
(fabs.f64 (/.f64 i (expm1.f64 i)))
(log.f64 (exp.f64 (/.f64 i (expm1.f64 i))))
(/.f64 i (expm1.f64 i))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 i (expm1.f64 i)))))
(/.f64 i (expm1.f64 i))
(cbrt.f64 (pow.f64 (/.f64 i (expm1.f64 i)) 3))
(/.f64 i (expm1.f64 i))
(cbrt.f64 (/.f64 (pow.f64 i 3) (pow.f64 (expm1.f64 i) 3)))
(/.f64 i (expm1.f64 i))
(expm1.f64 (log1p.f64 (/.f64 i (expm1.f64 i))))
(/.f64 i (expm1.f64 i))
(exp.f64 (log.f64 (/.f64 i (expm1.f64 i))))
(/.f64 i (expm1.f64 i))
(log1p.f64 (expm1.f64 (/.f64 i (expm1.f64 i))))
(/.f64 i (expm1.f64 i))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.36%
(*.f64 50 (*.f64 n i))
Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
i
@inf
(*.f64 50 (*.f64 n i))
0.0ms
n
@0
(*.f64 50 (*.f64 n i))
0.0ms
i
@0
(*.f64 50 (*.f64 n i))
0.0ms
n
@-inf
(*.f64 50 (*.f64 n i))
0.0ms
i
@-inf
(*.f64 50 (*.f64 n i))

rewrite51.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1322×add-sqr-sqrt
1304×*-un-lft-identity
1212×add-cube-cbrt
1196×add-cbrt-cube
1182×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114113
2163413
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 50 (*.f64 n i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 50 (*.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 50 (*.f64 n i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 50 (*.f64 n i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 50 (*.f64 n i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 n i) 2) 2500))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 i) n) 50))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 50 (*.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 50 (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 50 (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 50 (*.f64 n i))))))))

simplify55.0ms (0.3%)

Algorithm
egg-herbie
Rules
994×*-commutative
846×log-prod
832×exp-sum
810×associate-*r*
736×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036275
192209
2342143
32181143
46118143
Stop Event
node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) 1)
(pow.f64 (*.f64 50 (*.f64 n i)) 1)
(pow.f64 (sqrt.f64 (*.f64 50 (*.f64 n i))) 2)
(pow.f64 (cbrt.f64 (*.f64 50 (*.f64 n i))) 3)
(pow.f64 (pow.f64 (*.f64 50 (*.f64 n i)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 n i) 2) 2500))
(log.f64 (pow.f64 (pow.f64 (exp.f64 i) n) 50))
(cbrt.f64 (pow.f64 (*.f64 50 (*.f64 n i)) 3))
(expm1.f64 (log1p.f64 (*.f64 50 (*.f64 n i))))
(exp.f64 (log.f64 (*.f64 50 (*.f64 n i))))
(log1p.f64 (expm1.f64 (*.f64 50 (*.f64 n i))))
Outputs
(-.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) 1)
(+.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) -1)
(+.f64 (*.f64 50 (*.f64 n i)) 0)
(*.f64 50 (*.f64 n i))
(pow.f64 (*.f64 50 (*.f64 n i)) 1)
(+.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) -1)
(+.f64 (*.f64 50 (*.f64 n i)) 0)
(*.f64 50 (*.f64 n i))
(pow.f64 (sqrt.f64 (*.f64 50 (*.f64 n i))) 2)
(+.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) -1)
(+.f64 (*.f64 50 (*.f64 n i)) 0)
(*.f64 50 (*.f64 n i))
(pow.f64 (cbrt.f64 (*.f64 50 (*.f64 n i))) 3)
(+.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) -1)
(+.f64 (*.f64 50 (*.f64 n i)) 0)
(*.f64 50 (*.f64 n i))
(pow.f64 (pow.f64 (*.f64 50 (*.f64 n i)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) -1)
(+.f64 (*.f64 50 (*.f64 n i)) 0)
(*.f64 50 (*.f64 n i))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 n i) 2) 2500))
(+.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) -1)
(+.f64 (*.f64 50 (*.f64 n i)) 0)
(*.f64 50 (*.f64 n i))
(log.f64 (pow.f64 (pow.f64 (exp.f64 i) n) 50))
(+.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) -1)
(+.f64 (*.f64 50 (*.f64 n i)) 0)
(*.f64 50 (*.f64 n i))
(cbrt.f64 (pow.f64 (*.f64 50 (*.f64 n i)) 3))
(+.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) -1)
(+.f64 (*.f64 50 (*.f64 n i)) 0)
(*.f64 50 (*.f64 n i))
(expm1.f64 (log1p.f64 (*.f64 50 (*.f64 n i))))
(+.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) -1)
(+.f64 (*.f64 50 (*.f64 n i)) 0)
(*.f64 50 (*.f64 n i))
(exp.f64 (log.f64 (*.f64 50 (*.f64 n i))))
(+.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) -1)
(+.f64 (*.f64 50 (*.f64 n i)) 0)
(*.f64 50 (*.f64 n i))
(log1p.f64 (expm1.f64 (*.f64 50 (*.f64 n i))))
(+.f64 (+.f64 1 (*.f64 50 (*.f64 n i))) -1)
(+.f64 (*.f64 50 (*.f64 n i)) 0)
(*.f64 50 (*.f64 n i))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.07%
(*.f64 i (+.f64 1/2 (*.f64 i 1/6)))
0.12%
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))
0.46%
(*.f64 i 1/6)
5.45%
(*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))
Compiler

Compiled 55 to 38 computations (30.9% saved)

series7.0ms (0%)

Counts
4 → 72
Calls

18 calls:

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

rewrite102.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1646×associate-*r/
1226×associate-*l/
334×associate-+l+
302×add-sqr-sqrt
290×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01388
129772
2398872
Stop Event
node limit
Counts
4 → 212
Calls
Call 1
Inputs
(*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))
(*.f64 i 1/6)
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))
(*.f64 i (+.f64 1/2 (*.f64 i 1/6)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 i 1/2)) (*.f64 n (*.f64 1/6 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 1/6 (*.f64 i i))) (*.f64 n (*.f64 i 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n i) 1/2) (*.f64 (*.f64 n i) (*.f64 i 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n i) (*.f64 i 1/6)) (*.f64 (*.f64 n i) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 i 1/2) n) (*.f64 (*.f64 1/6 (*.f64 i i)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/6 (*.f64 i i)) n) (*.f64 (*.f64 i 1/2) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 (*.f64 i 1/6) (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 i 1/6) (*.f64 n i)) (*.f64 1/2 (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 i (*.f64 n (fma.f64 i 1/6 1/2))))) 1)))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 i (fma.f64 i 1/6 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (fma.f64 i 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i 1/2 (*.f64 1/6 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))))))

simplify153.0ms (0.9%)

Algorithm
egg-herbie
Rules
1382×associate-/l*
828×associate-*r*
828×associate-*l*
574×*-commutative
496×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055913610
1149112404
2658612298
Stop Event
node limit
Counts
284 → 328
Calls
Call 1
Inputs
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 1/2 (*.f64 n i))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(*.f64 1/6 (*.f64 n (pow.f64 i 2)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(*.f64 1/6 (*.f64 n (pow.f64 i 2)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)) 1)))
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)) 1)))
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)) 1)))
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) 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 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(*.f64 50/3 (*.f64 n (pow.f64 i 2)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 50/3 (*.f64 n (pow.f64 i 2))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(*.f64 50/3 (*.f64 n (pow.f64 i 2)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 50/3 (*.f64 n (pow.f64 i 2))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(*.f64 1/2 i)
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(*.f64 1/6 (pow.f64 i 2))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(*.f64 1/6 (pow.f64 i 2))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(+.f64 (*.f64 n (*.f64 i 1/2)) (*.f64 n (*.f64 1/6 (*.f64 i i))))
(+.f64 (*.f64 n (*.f64 1/6 (*.f64 i i))) (*.f64 n (*.f64 i 1/2)))
(+.f64 (*.f64 (*.f64 n i) 1/2) (*.f64 (*.f64 n i) (*.f64 i 1/6)))
(+.f64 (*.f64 (*.f64 n i) (*.f64 i 1/6)) (*.f64 (*.f64 n i) 1/2))
(+.f64 (*.f64 (*.f64 i 1/2) n) (*.f64 (*.f64 1/6 (*.f64 i i)) n))
(+.f64 (*.f64 (*.f64 1/6 (*.f64 i i)) n) (*.f64 (*.f64 i 1/2) n))
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(log.f64 (pow.f64 (exp.f64 i) (fma.f64 i 1/6 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 i (fma.f64 i 1/6 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 i (fma.f64 i 1/6 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 i 3) (pow.f64 (fma.f64 i 1/6 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 i 1/6 1/2) 3) (pow.f64 i 3)))
(expm1.f64 (log1p.f64 (*.f64 i (fma.f64 i 1/6 1/2))))
(exp.f64 (log.f64 (*.f64 i (fma.f64 i 1/6 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 i (fma.f64 i 1/6 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 i (fma.f64 i 1/6 1/2))))
(fma.f64 i 1/2 (*.f64 1/6 (*.f64 i i)))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
Outputs
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 1/2 (*.f64 n i))
(*.f64 1/2 (*.f64 i n))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 1/6 (*.f64 n (pow.f64 i 2)))
(*.f64 (*.f64 1/6 n) (*.f64 i i))
(*.f64 1/6 (*.f64 i (*.f64 i n)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 1/6 (*.f64 n (pow.f64 i 2)))
(*.f64 (*.f64 1/6 n) (*.f64 i i))
(*.f64 1/6 (*.f64 i (*.f64 i n)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (*.f64 1/2 (*.f64 n i)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 1/6 i)
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 (*.f64 n 100) (+.f64 1 (*.f64 i (fma.f64 i 1/6 1/2))))
(*.f64 n (fma.f64 i (*.f64 100 (fma.f64 1/6 i 1/2)) 100))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 (*.f64 n 100) (+.f64 1 (*.f64 i (fma.f64 i 1/6 1/2))))
(*.f64 n (fma.f64 i (*.f64 100 (fma.f64 1/6 i 1/2)) 100))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 (*.f64 n 100) (+.f64 1 (*.f64 i (fma.f64 i 1/6 1/2))))
(*.f64 n (fma.f64 i (*.f64 100 (fma.f64 1/6 i 1/2)) 100))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 (*.f64 n 100) (+.f64 1 (*.f64 i (fma.f64 i 1/6 1/2))))
(*.f64 n (fma.f64 i (*.f64 100 (fma.f64 1/6 i 1/2)) 100))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 (*.f64 n 100) (+.f64 1 (*.f64 i (fma.f64 i 1/6 1/2))))
(*.f64 n (fma.f64 i (*.f64 100 (fma.f64 1/6 i 1/2)) 100))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 (*.f64 n 100) (+.f64 1 (*.f64 i (fma.f64 i 1/6 1/2))))
(*.f64 n (fma.f64 i (*.f64 100 (fma.f64 1/6 i 1/2)) 100))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 (*.f64 n 100) (+.f64 1 (*.f64 i (fma.f64 i 1/6 1/2))))
(*.f64 n (fma.f64 i (*.f64 100 (fma.f64 1/6 i 1/2)) 100))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))
(*.f64 (*.f64 n 100) (+.f64 1 (*.f64 i (fma.f64 i 1/6 1/2))))
(*.f64 n (fma.f64 i (*.f64 100 (fma.f64 1/6 i 1/2)) 100))
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)) 1)))
(*.f64 (*.f64 -100 n) (fma.f64 -1 (*.f64 i (fma.f64 i 1/6 1/2)) -1))
(*.f64 (fma.f64 (neg.f64 (fma.f64 1/6 i 1/2)) i -1) (*.f64 n -100))
(*.f64 (-.f64 -1 (*.f64 i (fma.f64 1/6 i 1/2))) (*.f64 n -100))
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)) 1)))
(*.f64 (*.f64 -100 n) (fma.f64 -1 (*.f64 i (fma.f64 i 1/6 1/2)) -1))
(*.f64 (fma.f64 (neg.f64 (fma.f64 1/6 i 1/2)) i -1) (*.f64 n -100))
(*.f64 (-.f64 -1 (*.f64 i (fma.f64 1/6 i 1/2))) (*.f64 n -100))
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)) 1)))
(*.f64 (*.f64 -100 n) (fma.f64 -1 (*.f64 i (fma.f64 i 1/6 1/2)) -1))
(*.f64 (fma.f64 (neg.f64 (fma.f64 1/6 i 1/2)) i -1) (*.f64 n -100))
(*.f64 (-.f64 -1 (*.f64 i (fma.f64 1/6 i 1/2))) (*.f64 n -100))
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)) 1)))
(*.f64 (*.f64 -100 n) (fma.f64 -1 (*.f64 i (fma.f64 i 1/6 1/2)) -1))
(*.f64 (fma.f64 (neg.f64 (fma.f64 1/6 i 1/2)) i -1) (*.f64 n -100))
(*.f64 (-.f64 -1 (*.f64 i (fma.f64 1/6 i 1/2))) (*.f64 n -100))
(*.f64 100 n)
(*.f64 n 100)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 i n) (*.f64 n 100))
(fma.f64 n 100 (*.f64 i (*.f64 n 50)))
(*.f64 n (+.f64 (*.f64 i 50) 100))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 i n) (fma.f64 100 n (*.f64 (*.f64 50/3 n) (*.f64 i i))))
(fma.f64 (*.f64 i n) 50 (fma.f64 (*.f64 n 50/3) (*.f64 i i) (*.f64 n 100)))
(fma.f64 (*.f64 i n) 50 (*.f64 n (+.f64 (*.f64 (*.f64 i i) 50/3) 100)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 i n) (fma.f64 100 n (*.f64 (*.f64 50/3 n) (*.f64 i i))))
(fma.f64 (*.f64 i n) 50 (fma.f64 (*.f64 n 50/3) (*.f64 i i) (*.f64 n 100)))
(fma.f64 (*.f64 i n) 50 (*.f64 n (+.f64 (*.f64 (*.f64 i i) 50/3) 100)))
(*.f64 50/3 (*.f64 n (pow.f64 i 2)))
(*.f64 (*.f64 50/3 n) (*.f64 i i))
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 50/3 (*.f64 n (pow.f64 i 2))))
(fma.f64 50 (*.f64 i n) (*.f64 (*.f64 50/3 n) (*.f64 i i)))
(fma.f64 (*.f64 i (*.f64 i n)) 50/3 (*.f64 i (*.f64 n 50)))
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 (*.f64 i i) 50/3)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(fma.f64 50 (*.f64 i n) (fma.f64 100 n (*.f64 (*.f64 50/3 n) (*.f64 i i))))
(fma.f64 (*.f64 i n) 50 (fma.f64 (*.f64 n 50/3) (*.f64 i i) (*.f64 n 100)))
(fma.f64 (*.f64 i n) 50 (*.f64 n (+.f64 (*.f64 (*.f64 i i) 50/3) 100)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(fma.f64 50 (*.f64 i n) (fma.f64 100 n (*.f64 (*.f64 50/3 n) (*.f64 i i))))
(fma.f64 (*.f64 i n) 50 (fma.f64 (*.f64 n 50/3) (*.f64 i i) (*.f64 n 100)))
(fma.f64 (*.f64 i n) 50 (*.f64 n (+.f64 (*.f64 (*.f64 i i) 50/3) 100)))
(*.f64 50/3 (*.f64 n (pow.f64 i 2)))
(*.f64 (*.f64 50/3 n) (*.f64 i i))
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 50/3 (*.f64 n (pow.f64 i 2))))
(fma.f64 50 (*.f64 i n) (*.f64 (*.f64 50/3 n) (*.f64 i i)))
(fma.f64 (*.f64 i (*.f64 i n)) 50/3 (*.f64 i (*.f64 n 50)))
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 (*.f64 i i) 50/3)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(fma.f64 50 (*.f64 i n) (fma.f64 100 n (*.f64 (*.f64 50/3 n) (*.f64 i i))))
(fma.f64 (*.f64 i n) 50 (fma.f64 (*.f64 n 50/3) (*.f64 i i) (*.f64 n 100)))
(fma.f64 (*.f64 i n) 50 (*.f64 n (+.f64 (*.f64 (*.f64 i i) 50/3) 100)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(fma.f64 50 (*.f64 i n) (fma.f64 100 n (*.f64 (*.f64 50/3 n) (*.f64 i i))))
(fma.f64 (*.f64 i n) 50 (fma.f64 (*.f64 n 50/3) (*.f64 i i) (*.f64 n 100)))
(fma.f64 (*.f64 i n) 50 (*.f64 n (+.f64 (*.f64 (*.f64 i i) 50/3) 100)))
(*.f64 1/2 i)
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(*.f64 1/6 (pow.f64 i 2))
(*.f64 1/6 (*.f64 i i))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(*.f64 1/6 (pow.f64 i 2))
(*.f64 1/6 (*.f64 i i))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (*.f64 1/2 i))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(+.f64 (*.f64 n (*.f64 i 1/2)) (*.f64 n (*.f64 1/6 (*.f64 i i))))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(+.f64 (*.f64 n (*.f64 1/6 (*.f64 i i))) (*.f64 n (*.f64 i 1/2)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(+.f64 (*.f64 (*.f64 n i) 1/2) (*.f64 (*.f64 n i) (*.f64 i 1/6)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(+.f64 (*.f64 (*.f64 n i) (*.f64 i 1/6)) (*.f64 (*.f64 n i) 1/2))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(+.f64 (*.f64 (*.f64 i 1/2) n) (*.f64 (*.f64 1/6 (*.f64 i i)) n))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(+.f64 (*.f64 (*.f64 1/6 (*.f64 i i)) n) (*.f64 (*.f64 i 1/2) n))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 (*.f64 i 1/6) (*.f64 n i)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(+.f64 (*.f64 (*.f64 i 1/6) (*.f64 n i)) (*.f64 1/2 (*.f64 n i)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 i (*.f64 n (fma.f64 i 1/6 1/2))))) 1)
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(/.f64 (*.f64 n i) (/.f64 1 (fma.f64 i 1/6 1/2)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(/.f64 (*.f64 (*.f64 n i) 1) (/.f64 1 (fma.f64 i 1/6 1/2)))
(*.f64 (*.f64 i n) (fma.f64 i 1/6 1/2))
(*.f64 n (*.f64 i (fma.f64 1/6 i 1/2)))
(/.f64 (*.f64 (*.f64 n i) (-.f64 1/4 (*.f64 1/36 (*.f64 i i)))) (+.f64 1/2 (*.f64 -1/6 i)))
(/.f64 (+.f64 1/4 (*.f64 -1/36 (*.f64 i i))) (/.f64 (+.f64 1/2 (*.f64 i -1/6)) (*.f64 i n)))
(*.f64 (*.f64 (/.f64 i (fma.f64 i -1/6 1/2)) (+.f64 1/4 (*.f64 (*.f64 i i) -1/36))) n)
(/.f64 (*.f64 (*.f64 n i) (+.f64 1/8 (*.f64 1/216 (pow.f64 i 3)))) (+.f64 1/4 (-.f64 (*.f64 1/36 (*.f64 i i)) (*.f64 1/12 i))))
(/.f64 n (/.f64 (+.f64 1/4 (+.f64 (*.f64 (*.f64 i i) 1/36) (*.f64 -1/12 i))) (*.f64 i (+.f64 1/8 (*.f64 1/216 (pow.f64 i 3))))))
(*.f64 (/.f64 (*.f64 i (fma.f64 1/216 (pow.f64 i 3) 1/8)) (+.f64 1/4 (*.f64 i (-.f64 (*.f64 i 1/36) 1/12)))) n)
(/.f64 (*.f64 n (*.f64 i (-.f64 1/4 (*.f64 1/36 (*.f64 i i))))) (+.f64 1/2 (*.f64 -1/6 i)))
(/.f64 (+.f64 1/4 (*.f64 -1/36 (*.f64 i i))) (/.f64 (+.f64 1/2 (*.f64 i -1/6)) (*.f64 i n)))
(*.f64 (*.f64 (/.f64 i (fma.f64 i -1/6 1/2)) (+.f64 1/4 (*.f64 (*.f64 i i) -1/36))) n)
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(/.f64 (*.f64 i (fma.f64 1/216 (pow.f64 i 3) 1/8)) (+.f64 1/4 (*.f64 i (-.f64 (*.f64 i 1/36) 1/12))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/36 (*.f64 i i))) i) 1) (+.f64 1/2 (*.f64 -1/6 i)))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 -1/36 (*.f64 i i))) (+.f64 1/2 (*.f64 i -1/6))) i)
(*.f64 (/.f64 i (fma.f64 i -1/6 1/2)) (+.f64 1/4 (*.f64 (*.f64 i i) -1/36)))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/36 (*.f64 i i))) i) (sqrt.f64 (+.f64 1/2 (*.f64 -1/6 i)))) (sqrt.f64 (+.f64 1/2 (*.f64 -1/6 i))))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 -1/36 (*.f64 i i))) (+.f64 1/2 (*.f64 i -1/6))) i)
(*.f64 (/.f64 i (fma.f64 i -1/6 1/2)) (+.f64 1/4 (*.f64 (*.f64 i i) -1/36)))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/36 (*.f64 i i))) i) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/6 i))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/6 i))))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/6 i))))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 -1/36 (*.f64 i i))) (+.f64 1/2 (*.f64 i -1/6))) i)
(*.f64 (/.f64 i (fma.f64 i -1/6 1/2)) (+.f64 1/4 (*.f64 (*.f64 i i) -1/36)))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 1/216 (pow.f64 i 3))) i) 1) (+.f64 1/4 (-.f64 (*.f64 1/36 (*.f64 i i)) (*.f64 1/12 i))))
(/.f64 (*.f64 i (+.f64 1/8 (*.f64 1/216 (pow.f64 i 3)))) (+.f64 1/4 (+.f64 (*.f64 (*.f64 i i) 1/36) (*.f64 -1/12 i))))
(/.f64 (*.f64 i (fma.f64 1/216 (pow.f64 i 3) 1/8)) (+.f64 1/4 (*.f64 i (-.f64 (*.f64 i 1/36) 1/12))))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 1/216 (pow.f64 i 3))) i) (sqrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/36 (*.f64 i i)) (*.f64 1/12 i))))) (sqrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/36 (*.f64 i i)) (*.f64 1/12 i)))))
(/.f64 (*.f64 i (+.f64 1/8 (*.f64 1/216 (pow.f64 i 3)))) (+.f64 1/4 (+.f64 (*.f64 (*.f64 i i) 1/36) (*.f64 -1/12 i))))
(/.f64 (*.f64 i (fma.f64 1/216 (pow.f64 i 3) 1/8)) (+.f64 1/4 (*.f64 i (-.f64 (*.f64 i 1/36) 1/12))))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 1/216 (pow.f64 i 3))) i) (*.f64 (cbrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/36 (*.f64 i i)) (*.f64 1/12 i)))) (cbrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/36 (*.f64 i i)) (*.f64 1/12 i)))))) (cbrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/36 (*.f64 i i)) (*.f64 1/12 i)))))
(/.f64 (*.f64 i (+.f64 1/8 (*.f64 1/216 (pow.f64 i 3)))) (+.f64 1/4 (+.f64 (*.f64 (*.f64 i i) 1/36) (*.f64 -1/12 i))))
(/.f64 (*.f64 i (fma.f64 1/216 (pow.f64 i 3) 1/8)) (+.f64 1/4 (*.f64 i (-.f64 (*.f64 i 1/36) 1/12))))
(pow.f64 (*.f64 i (fma.f64 i 1/6 1/2)) 1)
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(pow.f64 (sqrt.f64 (*.f64 i (fma.f64 i 1/6 1/2))) 2)
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(pow.f64 (cbrt.f64 (*.f64 i (fma.f64 i 1/6 1/2))) 3)
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(pow.f64 (pow.f64 (*.f64 i (fma.f64 i 1/6 1/2)) 3) 1/3)
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(sqrt.f64 (pow.f64 (*.f64 i (fma.f64 i 1/6 1/2)) 2))
(fabs.f64 (*.f64 i (fma.f64 1/6 i 1/2)))
(log.f64 (pow.f64 (exp.f64 i) (fma.f64 i 1/6 1/2)))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 i (fma.f64 i 1/6 1/2)))))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(cbrt.f64 (pow.f64 (*.f64 i (fma.f64 i 1/6 1/2)) 3))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(cbrt.f64 (*.f64 (pow.f64 i 3) (pow.f64 (fma.f64 i 1/6 1/2) 3)))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 i 1/6 1/2) 3) (pow.f64 i 3)))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(expm1.f64 (log1p.f64 (*.f64 i (fma.f64 i 1/6 1/2))))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(exp.f64 (log.f64 (*.f64 i (fma.f64 i 1/6 1/2))))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 i (fma.f64 i 1/6 1/2))) 1))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(log1p.f64 (expm1.f64 (*.f64 i (fma.f64 i 1/6 1/2))))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(fma.f64 i 1/2 (*.f64 1/6 (*.f64 i i)))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))
(fma.f64 1/2 i (*.f64 1/6 (*.f64 i i)))
(*.f64 i (fma.f64 1/6 i 1/2))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.16%
(/.f64 (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))) (/.f64 i n))
0.22%
(*.f64 n (log.f64 (/.f64 i n)))
0.25%
(*.f64 100 (*.f64 n (log.f64 (/.f64 i n))))
28.62%
(log.f64 (/.f64 i n))
Compiler

Compiled 38 to 11 computations (71.1% saved)

series15.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
6.0ms
i
@inf
(/.f64 (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))) (/.f64 i n))
3.0ms
i
@-inf
(/.f64 (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))) (/.f64 i n))
1.0ms
i
@0
(/.f64 (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))) (/.f64 i n))
1.0ms
n
@0
(/.f64 (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))) (/.f64 i n))
1.0ms
n
@-inf
(/.f64 (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))) (/.f64 i n))

rewrite96.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
986×swap-sqr
950×associate-/r/
722×associate-/l/
478×distribute-lft-neg-in
430×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01186
123386
2328386
Stop Event
node limit
Counts
4 → 227
Calls
Call 1
Inputs
(log.f64 (/.f64 i n))
(*.f64 100 (*.f64 n (log.f64 (/.f64 i n))))
(*.f64 n (log.f64 (/.f64 i n)))
(/.f64 (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))) (/.f64 i n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 i n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 i) (log.f64 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 i) (neg.f64 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 i) (*.f64 1 (log.f64 (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 i)) (+.f64 (log.f64 (sqrt.f64 i)) (log.f64 (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 i)) (+.f64 (log.f64 (sqrt.f64 i)) (neg.f64 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 i)) (-.f64 (log.f64 (sqrt.f64 i)) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 i) 2)) (+.f64 (log.f64 (cbrt.f64 i)) (log.f64 (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 i) 2)) (+.f64 (log.f64 (cbrt.f64 i)) (neg.f64 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 i) 2)) (-.f64 (log.f64 (cbrt.f64 i)) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (log.f64 (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 i n))) (log.f64 (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 n)) (log.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 i n))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 n)) (log.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 i) 1) (*.f64 (log.f64 (/.f64 1 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 i) 1) (*.f64 (neg.f64 (log.f64 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 i n)) 2))) (log.f64 (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 i n)))) (log.f64 (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (/.f64 i n)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (/.f64 i n)))) (*.f64 1 (log.f64 (sqrt.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (/.f64 i n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 i n))) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 i n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 i) (log.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 i n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (neg.f64 i))) (log.f64 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (/.f64 i n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 i) (log.f64 (sqrt.f64 n))) (log.f64 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 i) (log.f64 (pow.f64 (cbrt.f64 n) 2))) (log.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 i) 0) (log.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 i n))) (sqrt.f64 (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 i n))) (pow.f64 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simplify109.0ms (0.6%)

Algorithm
egg-herbie
Rules
1414×associate-*r*
1338×associate-*l*
1196×associate-/l*
780×*-commutative
576×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058810025
116749593
Stop Event
node limit
Counts
323 → 331
Calls
Call 1
Inputs
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(*.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) 1) (*.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) i) n))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) i) n) (sqrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) (cbrt.f64 (/.f64 i n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) 2) i) (*.f64 (/.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) 1) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) 2) 1) (*.f64 (/.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) i) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) 2) (sqrt.f64 (/.f64 i n))) (/.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) (sqrt.f64 (/.f64 i n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) 2) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))))))
(*.f64 (/.f64 (*.f64 n 100) i) (/.f64 (log.f64 (/.f64 i n)) (/.f64 1 n)))
(*.f64 (/.f64 (*.f64 n 100) 1) (/.f64 (log.f64 (/.f64 i n)) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 n 100) (sqrt.f64 (/.f64 i n))) (/.f64 (log.f64 (/.f64 i n)) (sqrt.f64 (/.f64 i n))))
(*.f64 (/.f64 (*.f64 n 100) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (log.f64 (/.f64 i n)) (cbrt.f64 (/.f64 i n))))
(*.f64 (/.f64 n (neg.f64 i)) (*.f64 (log.f64 (/.f64 i n)) (*.f64 n -100)))
(*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) -1) (/.f64 n (neg.f64 i)))
(*.f64 (/.f64 100 (neg.f64 i)) (*.f64 (*.f64 n (log.f64 (/.f64 i n))) (neg.f64 n)))
(*.f64 (/.f64 100 (/.f64 i (neg.f64 n))) (*.f64 n (neg.f64 (log.f64 (/.f64 i n)))))
(*.f64 (/.f64 100 (/.f64 i (*.f64 n n))) (log.f64 (/.f64 i n)))
(*.f64 (/.f64 100 (/.f64 i (*.f64 (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) n))) (sqrt.f64 (*.f64 n (log.f64 (/.f64 i n)))))
(*.f64 (/.f64 100 (/.f64 (/.f64 i n) (pow.f64 (cbrt.f64 (*.f64 n (log.f64 (/.f64 i n)))) 2))) (cbrt.f64 (*.f64 n (log.f64 (/.f64 i n)))))
(*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (/.f64 i 1)) n)
(*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (/.f64 i (sqrt.f64 n))) (sqrt.f64 n))
(*.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (/.f64 i (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(*.f64 (/.f64 1 (/.f64 i (*.f64 n 100))) (*.f64 n (log.f64 (/.f64 i n))))
(*.f64 (/.f64 1 (/.f64 i (*.f64 (sqrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) n))) (sqrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))))
(*.f64 (/.f64 1 (/.f64 (/.f64 i n) (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) 2))) (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))))
(*.f64 (/.f64 1 (/.f64 i (*.f64 (*.f64 n 100) n))) (log.f64 (/.f64 i n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) 2) (/.f64 i n)) (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))))
(*.f64 (/.f64 (*.f64 n 100) (/.f64 i n)) (log.f64 (/.f64 i n)))
(*.f64 (/.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i)) 1) n)
(*.f64 (/.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i)) 1) (/.f64 n 1))
(*.f64 (/.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i)) (/.f64 1 (sqrt.f64 n))) (sqrt.f64 n))
(*.f64 (/.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(*.f64 (/.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i)) -1) (neg.f64 n))
(*.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n -100)) -1) (/.f64 n i))
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(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 1) 1) (/.f64 n i))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 1) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 1) (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (cbrt.f64 i)))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 1) (neg.f64 i)) (neg.f64 n))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 1) (/.f64 i 1)) n)
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 1) (/.f64 i (sqrt.f64 n))) (sqrt.f64 n))
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(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (neg.f64 i))) (cbrt.f64 (neg.f64 n)))
(pow.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n))))) 1)
(pow.f64 (/.f64 10 (sqrt.f64 (/.f64 (/.f64 i n) (*.f64 n (log.f64 (/.f64 i n)))))) 2)
(pow.f64 (cbrt.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))))) 3)
(pow.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n))))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 i n) (log.f64 (/.f64 i n))) (*.f64 n 100)) -1)
(neg.f64 (*.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i)) (neg.f64 n)))
(neg.f64 (*.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (/.f64 n (neg.f64 i))))
(neg.f64 (*.f64 (*.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i)) (neg.f64 n)) 1))
(neg.f64 (*.f64 1 (*.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i)) (neg.f64 n))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n -100)) (/.f64 i n)))
(sqrt.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n))))) 2))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)) 1)))
(cbrt.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 3) (pow.f64 (/.f64 i n) 3)))
(expm1.f64 (log1p.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))))))
(exp.f64 (log.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))))) 1))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)) 1))
Outputs
(+.f64 (log.f64 i) (log.f64 (/.f64 1 n)))
(log.f64 (/.f64 i n))
(+.f64 (log.f64 i) (log.f64 (/.f64 1 n)))
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(log.f64 (/.f64 i n))
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(log.f64 (/.f64 i n))
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(log.f64 (/.f64 i n))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))
(log.f64 (/.f64 i n))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))
(log.f64 (/.f64 i n))
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(*.f64 (*.f64 (/.f64 (*.f64 n 100) (pow.f64 (cbrt.f64 i) 2)) (log.f64 (/.f64 i n))) (/.f64 n (cbrt.f64 i)))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 1) (neg.f64 i)) (neg.f64 n))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 1) (/.f64 i 1)) n)
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 1) (/.f64 i (sqrt.f64 n))) (sqrt.f64 n))
(*.f64 (sqrt.f64 n) (*.f64 100 (*.f64 (*.f64 (log.f64 (/.f64 i n)) (/.f64 n i)) (sqrt.f64 n))))
(*.f64 (*.f64 (log.f64 (/.f64 i n)) (/.f64 n i)) (*.f64 100 (*.f64 (sqrt.f64 n) (sqrt.f64 n))))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 1) (/.f64 i (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))
(*.f64 (*.f64 100 (*.f64 (log.f64 (/.f64 i n)) (/.f64 n i))) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n)))
(*.f64 (cbrt.f64 n) (*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i)))))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 1) -1) (/.f64 n (neg.f64 i)))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (sqrt.f64 (/.f64 i n))) 1) (sqrt.f64 (/.f64 n i)))
(*.f64 (/.f64 n (/.f64 (sqrt.f64 (/.f64 i n)) (log.f64 (/.f64 i n)))) (*.f64 100 (sqrt.f64 (/.f64 n i))))
(*.f64 (*.f64 100 (*.f64 (/.f64 n (sqrt.f64 (/.f64 i n))) (log.f64 (/.f64 i n)))) (sqrt.f64 (/.f64 n i)))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (sqrt.f64 (/.f64 i n))) (sqrt.f64 i)) (sqrt.f64 n))
(*.f64 (sqrt.f64 n) (/.f64 (*.f64 n (*.f64 100 (log.f64 (/.f64 i n)))) (*.f64 (sqrt.f64 i) (sqrt.f64 (/.f64 i n)))))
(/.f64 (*.f64 100 (*.f64 (/.f64 n (sqrt.f64 (/.f64 i n))) (log.f64 (/.f64 i n)))) (/.f64 (sqrt.f64 i) (sqrt.f64 n)))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (sqrt.f64 (/.f64 i n))) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 n)))
(*.f64 (/.f64 (*.f64 n (*.f64 100 (log.f64 (/.f64 i n)))) (*.f64 (sqrt.f64 (neg.f64 i)) (sqrt.f64 (/.f64 i n)))) (sqrt.f64 (neg.f64 n)))
(/.f64 (*.f64 100 (*.f64 (/.f64 n (sqrt.f64 (/.f64 i n))) (log.f64 (/.f64 i n)))) (/.f64 (sqrt.f64 (neg.f64 i)) (sqrt.f64 (neg.f64 n))))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) 1) (cbrt.f64 (/.f64 n i)))
(*.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 (/.f64 i n)) 2) (*.f64 100 (log.f64 (/.f64 i n))))) (cbrt.f64 (/.f64 n i)))
(*.f64 (*.f64 n (/.f64 (*.f64 100 (log.f64 (/.f64 i n))) (pow.f64 (cbrt.f64 (/.f64 i n)) 2))) (cbrt.f64 (/.f64 n i)))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 i)) (cbrt.f64 n))
(*.f64 (cbrt.f64 n) (/.f64 (*.f64 n (*.f64 100 (log.f64 (/.f64 i n)))) (*.f64 (cbrt.f64 i) (pow.f64 (cbrt.f64 (/.f64 i n)) 2))))
(/.f64 (*.f64 n (/.f64 (*.f64 100 (log.f64 (/.f64 i n))) (pow.f64 (cbrt.f64 (/.f64 i n)) 2))) (/.f64 (cbrt.f64 i) (cbrt.f64 n)))
(*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (neg.f64 i))) (cbrt.f64 (neg.f64 n)))
(*.f64 (/.f64 (*.f64 n (*.f64 100 (log.f64 (/.f64 i n)))) (*.f64 (cbrt.f64 (neg.f64 i)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2))) (cbrt.f64 (neg.f64 n)))
(*.f64 (*.f64 (/.f64 n (cbrt.f64 (neg.f64 i))) (/.f64 (*.f64 100 (log.f64 (/.f64 i n))) (pow.f64 (cbrt.f64 (/.f64 i n)) 2))) (cbrt.f64 (neg.f64 n)))
(pow.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n))))) 1)
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(pow.f64 (/.f64 10 (sqrt.f64 (/.f64 (/.f64 i n) (*.f64 n (log.f64 (/.f64 i n)))))) 2)
(pow.f64 (/.f64 10 (sqrt.f64 (/.f64 (/.f64 (/.f64 i n) n) (log.f64 (/.f64 i n))))) 2)
(pow.f64 (cbrt.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))))) 3)
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(pow.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n))))) 3) 1/3)
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(pow.f64 (/.f64 (/.f64 (/.f64 i n) (log.f64 (/.f64 i n))) (*.f64 n 100)) -1)
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(neg.f64 (*.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i)) (neg.f64 n)))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(neg.f64 (*.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) (/.f64 n (neg.f64 i))))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(neg.f64 (*.f64 (*.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i)) (neg.f64 n)) 1))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(neg.f64 (*.f64 1 (*.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i)) (neg.f64 n))))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n -100)) (/.f64 i n)))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(sqrt.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n))))) 2))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 100 (/.f64 n i)) n)) 2))
(sqrt.f64 (pow.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i)))) 2))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)) 1)))
(log1p.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i))))
(cbrt.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n))))) 3))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100)) 3) (pow.f64 (/.f64 i n) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 100 (log.f64 (/.f64 i n)))) 3) (pow.f64 (/.f64 i n) 3)))
(expm1.f64 (log1p.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))))))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(exp.f64 (log.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))))))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(exp.f64 (*.f64 (log.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))))) 1))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))) i)
(*.f64 n (*.f64 (log.f64 (/.f64 i n)) (*.f64 100 (/.f64 n i))))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)) 1))
(log1p.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i)) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (pow.f64 (pow.f64 (/.f64 i n) n) 100) (/.f64 n i))))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.13%
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100)
0.32%
(*.f64 (/.f64 1 n) i)
1.2%
(+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))
11.73%
(pow.f64 (*.f64 (/.f64 1 n) i) n)
Compiler

Compiled 87 to 58 computations (33.3% saved)

series6.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite225.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1560×associate-/r*
1086×associate-/l*
518×distribute-rgt-in
474×distribute-lft-in
430×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01363
128463
2366363
Stop Event
node limit
Counts
3 → 173
Calls
Call 1
Inputs
(pow.f64 (*.f64 (/.f64 1 n) i) n)
(+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 i n) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 i n) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 i n) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 i n) n)) (sqrt.f64 (pow.f64 (/.f64 i n) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 i n) n)) (cbrt.f64 (pow.f64 (/.f64 i n) (+.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 i n) (+.f64 n n))) (cbrt.f64 (pow.f64 (/.f64 i n) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 n) (pow.f64 (/.f64 i n) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 i n)) n) (pow.f64 (sqrt.f64 (/.f64 i n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 i n)) 2) n) (pow.f64 (cbrt.f64 (/.f64 i n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 i n) (+.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 i n) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 i n) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 i n) (*.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 i n) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 n (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 n (log.f64 (/.f64 i n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 i n) n)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 i n) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 i n) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 i n) n))) (/.f64 (pow.f64 (/.f64 i n) (+.f64 n n)) (-.f64 -1 (pow.f64 (/.f64 i n) n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (exp.f64 (log1p.f64 (pow.f64 (/.f64 i n) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 i n) n) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify131.0ms (0.7%)

Algorithm
egg-herbie
Rules
1410×associate-+r+
730×associate-/l*
626×+-commutative
580×associate-/l/
506×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05269849
114129265
263949265
Stop Event
node limit
Counts
245 → 274
Calls
Call 1
Inputs
1
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(+.f64 1 (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (*.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)))))
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(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(exp.f64 (*.f64 n (+.f64 (log.f64 i) (log.f64 (/.f64 1 n)))))
(exp.f64 (*.f64 n (+.f64 (log.f64 i) (log.f64 (/.f64 1 n)))))
(exp.f64 (*.f64 n (+.f64 (log.f64 i) (log.f64 (/.f64 1 n)))))
(exp.f64 (*.f64 n (+.f64 (log.f64 i) (log.f64 (/.f64 1 n)))))
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))
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(-.f64 (pow.f64 (/.f64 i n) n) 1)
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(/.f64 (/.f64 100 (/.f64 i (-.f64 1 (pow.f64 (/.f64 i n) (+.f64 n n))))) (-.f64 -1 (pow.f64 (/.f64 i n) n)))
(/.f64 (/.f64 100 (/.f64 i (+.f64 -1 (pow.f64 (/.f64 i n) (*.f64 n 3))))) (+.f64 (+.f64 1 (pow.f64 (/.f64 i n) (+.f64 n n))) (pow.f64 (/.f64 i n) n)))
(/.f64 (/.f64 100 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1)))) (/.f64 i (sqrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1))))
(/.f64 (/.f64 100 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1)) 2))) (/.f64 i (cbrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1))))
(/.f64 (/.f64 100 (/.f64 (sqrt.f64 i) 1)) (/.f64 (sqrt.f64 i) (+.f64 (pow.f64 (/.f64 i n) n) -1)))
(/.f64 (/.f64 100 (/.f64 (sqrt.f64 i) (sqrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1)))) (/.f64 (sqrt.f64 i) (sqrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1))))
(/.f64 (/.f64 100 (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1)) 2))) (/.f64 (sqrt.f64 i) (cbrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1))))
(/.f64 (/.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 2) 1)) (/.f64 (cbrt.f64 i) (+.f64 (pow.f64 (/.f64 i n) n) -1)))
(/.f64 (/.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1)))) (/.f64 (cbrt.f64 i) (sqrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1))))
(/.f64 (/.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1)) 2))) (/.f64 (cbrt.f64 i) (cbrt.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1))))
(/.f64 (/.f64 (*.f64 100 (-.f64 1 (pow.f64 (/.f64 i n) n))) 1) (neg.f64 i))
(/.f64 (/.f64 (*.f64 100 (-.f64 1 (pow.f64 (/.f64 i n) n))) -1) i)
(/.f64 (/.f64 (*.f64 100 (-.f64 1 (pow.f64 (/.f64 i n) n))) (sqrt.f64 i)) (neg.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (*.f64 100 (-.f64 1 (pow.f64 (/.f64 i n) n))) (pow.f64 (cbrt.f64 i) 2)) (neg.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (*.f64 100 (-.f64 1 (pow.f64 (/.f64 i n) n))) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (*.f64 100 (-.f64 1 (pow.f64 (/.f64 i n) n))) (*.f64 (cbrt.f64 (neg.f64 i)) (cbrt.f64 (neg.f64 i)))) (cbrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (*.f64 100 (-.f64 1 (pow.f64 (/.f64 i n) n))) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 (*.f64 100 (-.f64 1 (pow.f64 (/.f64 i n) n))) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 i n) n)) 100) 1) (neg.f64 i))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 i n) n)) 100) -1) i)
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 i n) n)) 100) (sqrt.f64 i)) (neg.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 i n) n)) 100) (pow.f64 (cbrt.f64 i) 2)) (neg.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 i n) n)) 100) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 i n) n)) 100) (*.f64 (cbrt.f64 (neg.f64 i)) (cbrt.f64 (neg.f64 i)))) (cbrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 i n) n)) 100) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 i n) n)) 100) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 (sqrt.f64 i) 100)) 1) (sqrt.f64 i))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 (sqrt.f64 i) 100)) (cbrt.f64 i)) (cbrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 (sqrt.f64 i) 100)) (sqrt.f64 (sqrt.f64 i))) (sqrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 (sqrt.f64 i) 100)) (sqrt.f64 (pow.f64 (cbrt.f64 i) 2))) (sqrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) 1) (cbrt.f64 i))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (sqrt.f64 (cbrt.f64 i))) (sqrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (cbrt.f64 (sqrt.f64 i))) (cbrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.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 (pow.f64 (/.f64 i n) n) -1) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (cbrt.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) 1) (neg.f64 i))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) -1) i)
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) (sqrt.f64 i)) (neg.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) (pow.f64 (cbrt.f64 i) 2)) (neg.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.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 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(pow.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) i) 2) 10000))
(log.f64 (pow.f64 (exp.f64 100) (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) i)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i))))
(exp.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i))))
Outputs
1
(+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(+.f64 1 (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i))))
(fma.f64 n (log.f64 (/.f64 i n)) 1)
(+.f64 1 (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (*.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)))))
(+.f64 1 (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 (*.f64 1/2 (*.f64 n n)) (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2))))
(+.f64 (fma.f64 n (log.f64 (/.f64 i n)) 1) (*.f64 (pow.f64 (log.f64 (/.f64 i n)) 2) (*.f64 1/2 (*.f64 n n))))
(+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 n 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (*.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2))))))
(+.f64 1 (fma.f64 1/6 (*.f64 (pow.f64 n 3) (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3)) (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 (*.f64 1/2 (*.f64 n n)) (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2)))))
(+.f64 1 (fma.f64 1/6 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 (/.f64 i n)) 3)) (fma.f64 n (log.f64 (/.f64 i n)) (*.f64 (pow.f64 (log.f64 (/.f64 i n)) 2) (*.f64 1/2 (*.f64 n n))))))
(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(pow.f64 (/.f64 i n) n)
(exp.f64 (*.f64 n (+.f64 (log.f64 i) (log.f64 (/.f64 1 n)))))
(pow.f64 (/.f64 i n) n)
(exp.f64 (*.f64 n (+.f64 (log.f64 i) (log.f64 (/.f64 1 n)))))
(pow.f64 (/.f64 i n) n)
(exp.f64 (*.f64 n (+.f64 (log.f64 i) (log.f64 (/.f64 1 n)))))
(pow.f64 (/.f64 i n) n)
(exp.f64 (*.f64 n (+.f64 (log.f64 i) (log.f64 (/.f64 1 n)))))
(pow.f64 (/.f64 i n) n)
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))
(pow.f64 (/.f64 i n) n)
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))
(pow.f64 (/.f64 i n) n)
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))
(pow.f64 (/.f64 i n) n)
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))
(pow.f64 (/.f64 i n) 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 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))
(pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))
(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 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))
(pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))
(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 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))
(pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))
(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 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))
(pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))
(*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))
(*.f64 n (log.f64 (/.f64 i n)))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (*.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2))))
(fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 (*.f64 1/2 (*.f64 n n)) (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2)))
(fma.f64 n (log.f64 (/.f64 i n)) (*.f64 (pow.f64 (log.f64 (/.f64 i n)) 2) (*.f64 1/2 (*.f64 n n))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 n 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (*.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)))))
(fma.f64 1/6 (*.f64 (pow.f64 n 3) (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3)) (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 (*.f64 1/2 (*.f64 n n)) (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2))))
(fma.f64 1/6 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 (/.f64 i n)) 3)) (fma.f64 n (log.f64 (/.f64 i n)) (*.f64 (pow.f64 (log.f64 (/.f64 i n)) 2) (*.f64 1/2 (*.f64 n n)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 n 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 n 4) (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (*.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2))))))
(fma.f64 1/6 (*.f64 (pow.f64 n 3) (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3)) (fma.f64 1/24 (*.f64 (pow.f64 n 4) (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4)) (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 (*.f64 1/2 (*.f64 n n)) (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2)))))
(fma.f64 1/6 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 (/.f64 i n)) 3)) (fma.f64 1/24 (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 (/.f64 i n)) 4)) (fma.f64 n (log.f64 (/.f64 i n)) (*.f64 (pow.f64 (log.f64 (/.f64 i n)) 2) (*.f64 1/2 (*.f64 n n))))))
(-.f64 (pow.f64 (/.f64 i n) n) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (pow.f64 (/.f64 i n) n) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (pow.f64 (/.f64 i n) n) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (pow.f64 (/.f64 i n) n) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (pow.f64 (/.f64 i n) n) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (pow.f64 (/.f64 i n) n) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (pow.f64 (/.f64 i n) n) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (pow.f64 (/.f64 i n) n) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 1 n)) (log.f64 i)))) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 1 n)) (log.f64 i)))) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 1 n)) (log.f64 i)))) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (exp.f64 (*.f64 n (+.f64 (log.f64 (/.f64 1 n)) (log.f64 i)))) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)
(+.f64 -1 (pow.f64 (/.f64 i n) n))
(-.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 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))
(expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))
(-.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 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))
(expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))
(-.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 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))
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(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (sqrt.f64 (cbrt.f64 i))) (sqrt.f64 (cbrt.f64 i)))
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (cbrt.f64 (sqrt.f64 i))) (cbrt.f64 (sqrt.f64 i)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (*.f64 (cbrt.f64 (sqrt.f64 i)) (cbrt.f64 (sqrt.f64 i))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) (pow.f64 (cbrt.f64 i) 2)) (*.f64 (cbrt.f64 (sqrt.f64 i)) (cbrt.f64 (sqrt.f64 i))))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.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 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (cbrt.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 (cbrt.f64 i)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) (/.f64 (pow.f64 (cbrt.f64 i) 2) 100)) (*.f64 (cbrt.f64 (cbrt.f64 i)) (cbrt.f64 (pow.f64 (cbrt.f64 i) 2))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) (pow.f64 (cbrt.f64 i) 2)) (*.f64 (cbrt.f64 (cbrt.f64 i)) (cbrt.f64 (pow.f64 (cbrt.f64 i) 2))))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) 1) (neg.f64 i))
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) -1) i)
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) (sqrt.f64 i)) (neg.f64 (sqrt.f64 i)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) (*.f64 (sqrt.f64 i) (/.f64 (sqrt.f64 i) 100)))
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) (sqrt.f64 i)) (sqrt.f64 i))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) (pow.f64 (cbrt.f64 i) 2)) (neg.f64 (cbrt.f64 i)))
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) (sqrt.f64 (neg.f64 i))) (sqrt.f64 (neg.f64 i)))
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) (*.f64 (cbrt.f64 (neg.f64 i)) (cbrt.f64 (neg.f64 i)))) (cbrt.f64 (neg.f64 i)))
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) (neg.f64 (sqrt.f64 i))) (sqrt.f64 i))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) (*.f64 (sqrt.f64 i) (/.f64 (sqrt.f64 i) 100)))
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) (sqrt.f64 i)) (sqrt.f64 i))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 100 (pow.f64 (/.f64 i n) n)) -100)) (neg.f64 (pow.f64 (cbrt.f64 i) 2))) (cbrt.f64 i))
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(pow.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i)) 1)
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i))) 2)
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i))) 3)
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(pow.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i)) 3) 1/3)
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) i) 2) 10000))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i) 2) 10000))
(log.f64 (pow.f64 (exp.f64 100) (/.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) i)))
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i)))))
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i)) 3))
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i))))
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(exp.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i))))
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i))) 1))
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (pow.f64 (/.f64 i n) n) -1) (/.f64 100 i))))
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))
(/.f64 (fma.f64 (pow.f64 (/.f64 i n) n) 100 -100) i)

eval373.0ms (2.1%)

Compiler

Compiled 28111 to 15299 computations (45.6% saved)

prune332.0ms (1.9%)

Pruning

56 alts after pruning (50 fresh and 6 done)

PrunedKeptTotal
New1311141325
Fresh113647
Picked101
Done268
Total1325561381
Error
0.92%
Counts
1381 → 56
Alt Table
Click to see full alt table
StatusErrorProgram
45.35%
(fma.f64 100 (/.f64 (*.f64 1/3 (*.f64 i i)) n) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
54.5%
(fma.f64 100 (*.f64 n (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))))) (*.f64 100 (+.f64 n (*.f64 n (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))))
45.15%
(fma.f64 100 (*.f64 n (*.f64 1/3 (*.f64 (/.f64 (/.f64 i n) n) i))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
92.13%
(pow.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n))))) 3) 1/3)
86.81%
(pow.f64 (/.f64 (/.f64 (/.f64 i n) (log.f64 (/.f64 i n))) (*.f64 n 100)) -1)
72.11%
(pow.f64 (*.f64 n (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 i n) n) 1) i) 100)) 1)
86.41%
(/.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) 3) (/.f64 i n))
88.18%
(/.f64 (+.f64 (*.f64 (*.f64 n 100) (neg.f64 (log.f64 n))) (*.f64 (*.f64 n 100) (log.f64 i))) (/.f64 i n))
88.17%
(/.f64 (*.f64 (*.f64 n 100) (-.f64 (neg.f64 (neg.f64 (log.f64 i))) (log.f64 n))) (/.f64 i n))
72.38%
(/.f64 (*.f64 n (/.f64 (+.f64 (*.f64 (exp.f64 i) 100) -100) i)) 1)
44.51%
(/.f64 (*.f64 n (/.f64 (*.f64 100 i) i)) 1)
73.73%
(/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i 100))
87.78%
(/.f64 (*.f64 100 (+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))) (/.f64 i n))
89.06%
(/.f64 (*.f64 100 (+.f64 (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (pow.f64 n 3) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))))))) (/.f64 i n))
78.56%
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
86.08%
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n))))) (/.f64 i n))
88.17%
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))
86.34%
(/.f64 (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))) (/.f64 i n))
50.69%
(/.f64 (*.f64 100 i) (/.f64 i n))
24.75%
(/.f64 n (/.f64 (/.f64 i (expm1.f64 i)) 100))
30.07%
(/.f64 n (/.f64 (+.f64 1 (*.f64 i -1/2)) 100))
30.06%
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
44.51%
(/.f64 n 1/100)
29.44%
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
44.6%
(/.f64 100 (/.f64 1 n))
29.9%
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
45.16%
(+.f64 (*.f64 i -50) (*.f64 100 n))
44.98%
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
86.33%
(*.f64 (/.f64 (*.f64 (*.f64 n (log.f64 (/.f64 i n))) -100) -1) (/.f64 n i))
86.43%
(*.f64 (/.f64 (*.f64 n 100) (/.f64 i n)) (log.f64 (/.f64 i n)))
43.78%
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
43.65%
(*.f64 (/.f64 -100 (/.f64 i (neg.f64 n))) (expm1.f64 i))
86.36%
(*.f64 (*.f64 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i) n) 100)
44.27%
(*.f64 (*.f64 n (/.f64 100 i)) (expm1.f64 i))
86.33%
(*.f64 (*.f64 n (log.f64 (/.f64 i n))) (*.f64 100 (/.f64 n i)))
86.34%
(*.f64 (*.f64 n 100) (*.f64 (log.f64 (/.f64 i n)) (/.f64 n i)))
93.6%
(*.f64 (*.f64 50/3 n) (*.f64 i i))
94.19%
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 (*.f64 i i) 50/3)))
72.12%
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (/.f64 i n) n))))
93.6%
(*.f64 n (*.f64 (*.f64 i i) 50/3))
94.04%
(*.f64 n (*.f64 50 i))
44.39%
(*.f64 n 100)
86.32%
(*.f64 100 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))) (/.f64 (/.f64 i n) n)))
32.14%
(*.f64 100 (+.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))
50.83%
(*.f64 100 (+.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i)) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) n))
44.81%
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))))
54.5%
(*.f64 100 (+.f64 n (*.f64 n (+.f64 (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3))))))))))
72.08%
(*.f64 100 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i)))
79.97%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 n)) n) (*.f64 (log.f64 (neg.f64 i)) n))) i)))
80.01%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 n))) 2) (cbrt.f64 (log.f64 (/.f64 -1 n))) (log.f64 (neg.f64 i))))) i)))
95.56%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 i))))))) i)))
95.57%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (/.f64 -1 i)))) (sqrt.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 i n))))) i)))
95.58%
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (*.f64 i (/.f64 1 n))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (/.f64 -1 i)))) (sqrt.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 i))))))) i)))
24.84%
(*.f64 100 (*.f64 n (*.f64 (/.f64 1 i) (expm1.f64 i))))
94.04%
(*.f64 50 (*.f64 n i))
90.31%
(exp.f64 (log.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))))
Compiler

Compiled 984 to 690 computations (29.9% saved)

regimes283.0ms (1.6%)

Counts
97 → 4
Calls
Call 1
Inputs
(*.f64 n 100)
(/.f64 n 1/100)
(*.f64 50 (*.f64 n i))
(*.f64 n (*.f64 50 i))
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (*.f64 50/3 n) (*.f64 i i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i 1/2))))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(/.f64 n (/.f64 (+.f64 1 (*.f64 i -1/2)) 100))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n (/.f64 (*.f64 100 i) i)) 1)
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 (*.f64 i i) 50/3)))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))))
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 100 (*.f64 n (/.f64 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) i)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(/.f64 (*.f64 100 (+.f64 (+.f64 (+.f64 1 i) (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)))) -1)) (/.f64 i n))
(*.f64 100 (+.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 100 (+.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i)) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) n))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 (*.f64 n (/.f64 100 i)) (expm1.f64 i))
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 n (/.f64 (/.f64 i (expm1.f64 i)) 100))
(/.f64 (*.f64 (expm1.f64 i) (*.f64 100 n)) i)
(*.f64 (/.f64 -100 (/.f64 i (neg.f64 n))) (expm1.f64 i))
(*.f64 100 (*.f64 n (*.f64 (/.f64 1 i) (expm1.f64 i))))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 (expm1.f64 i))) n)
(/.f64 (*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i)) 1)
(/.f64 100 (/.f64 i (+.f64 (*.f64 (exp.f64 i) n) (neg.f64 n))))
(*.f64 (*.f64 n 100) (*.f64 (log.f64 (/.f64 i n)) (/.f64 n i)))
(*.f64 (*.f64 n (log.f64 (/.f64 i n))) (*.f64 100 (/.f64 n i)))
(*.f64 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))) 100)
(*.f64 (*.f64 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i) n) 100)
(*.f64 (/.f64 (*.f64 n 100) (/.f64 i n)) (log.f64 (/.f64 i n)))
(/.f64 (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))) (/.f64 i n))
(/.f64 (*.f64 n (/.f64 (+.f64 (*.f64 (exp.f64 i) 100) -100) i)) 1)
(*.f64 100 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (/.f64 i n) n))))
(*.f64 (/.f64 (*.f64 (*.f64 n (log.f64 (/.f64 i n))) -100) -1) (/.f64 n i))
(*.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 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i 100))
(fma.f64 100 (/.f64 (*.f64 1/3 (*.f64 i i)) n) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
(fma.f64 100 (*.f64 n (*.f64 1/3 (*.f64 (/.f64 (/.f64 i n) n) i))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
(fma.f64 100 (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log.f64 (/.f64 i n)))) i)))
(*.f64 100 (*.f64 n (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) i)))
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))
(pow.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (*.f64 n (log.f64 (/.f64 i n))))) -1)
(pow.f64 (/.f64 (/.f64 (/.f64 i n) (log.f64 (/.f64 i n))) (*.f64 n 100)) -1)
(*.f64 100 (+.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))
(/.f64 (*.f64 100 (*.f64 n (*.f64 (log.f64 (cbrt.f64 (/.f64 i n))) 3))) (/.f64 i n))
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n))))) (/.f64 i n))
(/.f64 (*.f64 (*.f64 n 100) (-.f64 (neg.f64 (neg.f64 (log.f64 i))) (log.f64 n))) (/.f64 i n))
(pow.f64 (*.f64 n (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 i n) n) 1) i) 100)) 1)
(*.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))
(pow.f64 (*.f64 n (*.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 1 n) i) n)) i) 100)) 1)
(*.f64 100 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))) (/.f64 (/.f64 i n) n)))
(/.f64 (+.f64 (*.f64 (*.f64 n 100) (neg.f64 (log.f64 n))) (*.f64 (*.f64 n 100) (log.f64 i))) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 n (+.f64 (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3))))))))))
(exp.f64 (log.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n))))))
(/.f64 (*.f64 (*.f64 100 n) (fma.f64 -1 (log.f64 n) (log.f64 i))) (/.f64 i n))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (log.f64 (/.f64 i n)) 100))) 3) (/.f64 i n))
(pow.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n))))) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 (*.f64 n 100) i) (log.f64 (/.f64 i n)))) 3) 1/3)
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 -1 n)) (log.f64 (neg.f64 i))))) i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) i)))
(/.f64 (*.f64 100 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (/.f64 i n))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 n)) n) (*.f64 (log.f64 (neg.f64 i)) n))) i)))
(fma.f64 100 (*.f64 n (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))))) (*.f64 100 (+.f64 n (*.f64 n (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (exp.f64 (log.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i)))))) i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 n) i)))))) i)))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) 100)
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 n) i))) 3))) i)))
(*.f64 (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (pow.f64 (pow.f64 (*.f64 n (log.f64 (*.f64 (/.f64 1 n) i))) 3) 1/3)) i)))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) 100)
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 i))))))) i)))
(/.f64 (*.f64 100 (+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))) (/.f64 i n))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 n))) 2) (cbrt.f64 (log.f64 (/.f64 -1 n))) (log.f64 (neg.f64 i))))) i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (/.f64 -1 i)))) (sqrt.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 i n))))) i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (*.f64 i (/.f64 1 n))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (/.f64 -1 i)))) (sqrt.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 i))))))) i)))
(/.f64 (*.f64 100 (+.f64 (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (pow.f64 n 3) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))))))) (/.f64 i n))
Outputs
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log.f64 (/.f64 i n)))) i)))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
Calls

4 calls:

137.0ms
n
68.0ms
i
24.0ms
(/.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
15.66%2i
14.51%4n
14.55%3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
14.55%3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 1515 to 880 computations (41.9% saved)

bsearch186.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
69.0ms
6.883751118171246e-44
6.232324789258441e-42
49.0ms
8.71198156803797e-286
1.0809981411535908e-277
68.0ms
-5.338837903804616e-105
-3.345536133550007e-110
Results
107.0ms192×body1024valid
23.0ms250×body256invalid
21.0ms28×body2048valid
19.0ms86×body512valid
10.0ms94×body256valid
Compiler

Compiled 646 to 469 computations (27.4% saved)

regimes175.0ms (1%)

Counts
59 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(/.f64 n 1/100)
(*.f64 50 (*.f64 n i))
(*.f64 n (*.f64 50 i))
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (*.f64 50/3 n) (*.f64 i i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i 1/2))))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(/.f64 n (/.f64 (+.f64 1 (*.f64 i -1/2)) 100))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n (/.f64 (*.f64 100 i) i)) 1)
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 (*.f64 i i) 50/3)))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))))
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 100 (*.f64 n (/.f64 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) i)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(/.f64 (*.f64 100 (+.f64 (+.f64 (+.f64 1 i) (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)))) -1)) (/.f64 i n))
(*.f64 100 (+.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 100 (+.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i)) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) n))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 (*.f64 n (/.f64 100 i)) (expm1.f64 i))
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 n (/.f64 (/.f64 i (expm1.f64 i)) 100))
(/.f64 (*.f64 (expm1.f64 i) (*.f64 100 n)) i)
(*.f64 (/.f64 -100 (/.f64 i (neg.f64 n))) (expm1.f64 i))
(*.f64 100 (*.f64 n (*.f64 (/.f64 1 i) (expm1.f64 i))))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 (expm1.f64 i))) n)
(/.f64 (*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i)) 1)
(/.f64 100 (/.f64 i (+.f64 (*.f64 (exp.f64 i) n) (neg.f64 n))))
(*.f64 (*.f64 n 100) (*.f64 (log.f64 (/.f64 i n)) (/.f64 n i)))
(*.f64 (*.f64 n (log.f64 (/.f64 i n))) (*.f64 100 (/.f64 n i)))
(*.f64 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))) 100)
(*.f64 (*.f64 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i) n) 100)
(*.f64 (/.f64 (*.f64 n 100) (/.f64 i n)) (log.f64 (/.f64 i n)))
(/.f64 (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))) (/.f64 i n))
(/.f64 (*.f64 n (/.f64 (+.f64 (*.f64 (exp.f64 i) 100) -100) i)) 1)
(*.f64 100 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (/.f64 i n) n))))
(*.f64 (/.f64 (*.f64 (*.f64 n (log.f64 (/.f64 i n))) -100) -1) (/.f64 n i))
(*.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 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i 100))
(fma.f64 100 (/.f64 (*.f64 1/3 (*.f64 i i)) n) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
(fma.f64 100 (*.f64 n (*.f64 1/3 (*.f64 (/.f64 (/.f64 i n) n) i))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
(fma.f64 100 (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
Outputs
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i 100))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
Calls

4 calls:

85.0ms
n
43.0ms
i
17.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
16.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
16.96%2i
15.01%4n
14.55%3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
14.55%3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 728 to 421 computations (42.2% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8994473870.57539
NaN
0.0ms
-0.0
9.992540809761958e-251
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes168.0ms (0.9%)

Counts
55 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(/.f64 n 1/100)
(*.f64 50 (*.f64 n i))
(*.f64 n (*.f64 50 i))
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (*.f64 50/3 n) (*.f64 i i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i 1/2))))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(/.f64 n (/.f64 (+.f64 1 (*.f64 i -1/2)) 100))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n (/.f64 (*.f64 100 i) i)) 1)
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 (*.f64 i i) 50/3)))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))))
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 100 (*.f64 n (/.f64 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) i)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(/.f64 (*.f64 100 (+.f64 (+.f64 (+.f64 1 i) (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)))) -1)) (/.f64 i n))
(*.f64 100 (+.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 100 (+.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i)) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) n))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 (*.f64 n (/.f64 100 i)) (expm1.f64 i))
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 n (/.f64 (/.f64 i (expm1.f64 i)) 100))
(/.f64 (*.f64 (expm1.f64 i) (*.f64 100 n)) i)
(*.f64 (/.f64 -100 (/.f64 i (neg.f64 n))) (expm1.f64 i))
(*.f64 100 (*.f64 n (*.f64 (/.f64 1 i) (expm1.f64 i))))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 (expm1.f64 i))) n)
(/.f64 (*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i)) 1)
(/.f64 100 (/.f64 i (+.f64 (*.f64 (exp.f64 i) n) (neg.f64 n))))
(*.f64 (*.f64 n 100) (*.f64 (log.f64 (/.f64 i n)) (/.f64 n i)))
(*.f64 (*.f64 n (log.f64 (/.f64 i n))) (*.f64 100 (/.f64 n i)))
(*.f64 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))) 100)
(*.f64 (*.f64 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i) n) 100)
(*.f64 (/.f64 (*.f64 n 100) (/.f64 i n)) (log.f64 (/.f64 i n)))
(/.f64 (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))) (/.f64 i n))
(/.f64 (*.f64 n (/.f64 (+.f64 (*.f64 (exp.f64 i) 100) -100) i)) 1)
(*.f64 100 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i)))
(*.f64 n (*.f64 (/.f64 100 i) (+.f64 -1 (pow.f64 (/.f64 i n) n))))
(*.f64 (/.f64 (*.f64 (*.f64 n (log.f64 (/.f64 i n))) -100) -1) (/.f64 n i))
(*.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))
Outputs
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i)))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
Calls

4 calls:

79.0ms
n
44.0ms
i
16.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
15.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
16.96%2i
15.01%4n
14.55%3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
14.55%3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 633 to 362 computations (42.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8994473870.57539
NaN
0.0ms
-0.0
9.992540809761958e-251
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes118.0ms (0.7%)

Counts
49 → 4
Calls
Call 1
Inputs
(*.f64 n 100)
(/.f64 n 1/100)
(*.f64 50 (*.f64 n i))
(*.f64 n (*.f64 50 i))
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (*.f64 50/3 n) (*.f64 i i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i 1/2))))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(/.f64 n (/.f64 (+.f64 1 (*.f64 i -1/2)) 100))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n (/.f64 (*.f64 100 i) i)) 1)
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 (*.f64 i i) 50/3)))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))))
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 100 (*.f64 n (/.f64 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) i)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(/.f64 (*.f64 100 (+.f64 (+.f64 (+.f64 1 i) (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)))) -1)) (/.f64 i n))
(*.f64 100 (+.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 100 (+.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i)) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) n))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 (*.f64 n (/.f64 100 i)) (expm1.f64 i))
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 n (/.f64 (/.f64 i (expm1.f64 i)) 100))
(/.f64 (*.f64 (expm1.f64 i) (*.f64 100 n)) i)
(*.f64 (/.f64 -100 (/.f64 i (neg.f64 n))) (expm1.f64 i))
(*.f64 100 (*.f64 n (*.f64 (/.f64 1 i) (expm1.f64 i))))
(*.f64 (/.f64 (/.f64 100 i) (/.f64 1 (expm1.f64 i))) n)
(/.f64 (*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i)) 1)
(/.f64 100 (/.f64 i (+.f64 (*.f64 (exp.f64 i) n) (neg.f64 n))))
(*.f64 (*.f64 n 100) (*.f64 (log.f64 (/.f64 i n)) (/.f64 n i)))
(*.f64 (*.f64 n (log.f64 (/.f64 i n))) (*.f64 100 (/.f64 n i)))
(*.f64 (*.f64 (/.f64 n i) (*.f64 n (log.f64 (/.f64 i n)))) 100)
(*.f64 (*.f64 (/.f64 (*.f64 n (log.f64 (/.f64 i n))) i) n) 100)
(*.f64 (/.f64 (*.f64 n 100) (/.f64 i n)) (log.f64 (/.f64 i n)))
(/.f64 (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))) (/.f64 i n))
(/.f64 (*.f64 n (/.f64 (+.f64 (*.f64 (exp.f64 i) 100) -100) i)) 1)
Outputs
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
Calls

2 calls:

70.0ms
n
37.0ms
i
Results
ErrorSegmentsBranch
16.96%2i
15.01%4n
Compiler

Compiled 516 to 299 computations (42.1% saved)

bsearch154.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
68.0ms
6.883751118171246e-44
6.232324789258441e-42
39.0ms
2.7286868869757486e-269
3.7121480496581845e-265
46.0ms
-7.657622629668577e-179
-1.9493996542100963e-181
Results
93.0ms190×body1024valid
21.0ms226×body256invalid
12.0ms115×body256valid
11.0ms17×body2048valid
11.0ms46×body512valid
Compiler

Compiled 529 to 415 computations (21.6% saved)

regimes67.0ms (0.4%)

Counts
30 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(/.f64 n 1/100)
(*.f64 50 (*.f64 n i))
(*.f64 n (*.f64 50 i))
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (*.f64 50/3 n) (*.f64 i i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i 1/2))))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(/.f64 n (/.f64 (+.f64 1 (*.f64 i -1/2)) 100))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n (/.f64 (*.f64 100 i) i)) 1)
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 (*.f64 i i) 50/3)))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(/.f64 (*.f64 100 (+.f64 (+.f64 1 i) -1)) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))
(*.f64 100 (+.f64 n (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (*.f64 n i))))
(*.f64 (+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) 100)
(*.f64 100 (*.f64 n (/.f64 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) i)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(/.f64 (*.f64 100 (+.f64 (+.f64 (+.f64 1 i) (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)))) -1)) (/.f64 i n))
(*.f64 100 (+.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 100 (+.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i i)) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) n))
Outputs
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
Calls

2 calls:

47.0ms
n
13.0ms
i
Results
ErrorSegmentsBranch
29.9%1i
26.58%3n
Compiler

Compiled 326 to 210 computations (35.6% saved)

bsearch89.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
2.7286868869757486e-269
3.7121480496581845e-265
48.0ms
-7.657622629668577e-179
-1.9493996542100963e-181
Results
48.0ms138×body1024valid
14.0ms157×body256invalid
11.0ms19×body2048valid
7.0ms71×body256valid
4.0ms28×body512valid
Compiler

Compiled 406 to 327 computations (19.5% saved)

regimes46.0ms (0.3%)

Counts
20 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(/.f64 n 1/100)
(*.f64 50 (*.f64 n i))
(*.f64 n (*.f64 50 i))
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (*.f64 50/3 n) (*.f64 i i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i 1/2))))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(/.f64 n (/.f64 (+.f64 1 (*.f64 i -1/2)) 100))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 (*.f64 n (/.f64 (*.f64 100 i) i)) 1)
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 (*.f64 i i) 50/3)))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
Outputs
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
(/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
Calls

2 calls:

33.0ms
n
9.0ms
i
Results
ErrorSegmentsBranch
30.06%1i
26.79%3n
Compiler

Compiled 152 to 97 computations (36.2% saved)

bsearch87.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
2.7286868869757486e-269
3.7121480496581845e-265
45.0ms
-7.657622629668577e-179
-1.9493996542100963e-181
Results
45.0ms133×body1024valid
15.0ms159×body256invalid
11.0ms18×body2048valid
7.0ms67×body256valid
6.0ms38×body512valid
Compiler

Compiled 374 to 303 computations (19% saved)

regimes19.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 n 100)
(/.f64 n 1/100)
(*.f64 50 (*.f64 n i))
(*.f64 n (*.f64 50 i))
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (*.f64 50/3 n) (*.f64 i i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i 1/2))))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(/.f64 n (/.f64 (+.f64 1 (*.f64 i -1/2)) 100))
Outputs
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
Calls

2 calls:

8.0ms
i
8.0ms
n
Results
ErrorSegmentsBranch
30.06%1i
30.06%1n
Compiler

Compiled 112 to 71 computations (36.6% saved)

regimes24.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(/.f64 n 1/100)
(*.f64 50 (*.f64 n i))
(*.f64 n (*.f64 50 i))
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (*.f64 50/3 n) (*.f64 i i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
(/.f64 100 (/.f64 i (*.f64 n i)))
Outputs
(*.f64 n 100)
(/.f64 100 (/.f64 i (*.f64 n i)))
(+.f64 (*.f64 i -50) (*.f64 100 n))
Calls

2 calls:

16.0ms
n
6.0ms
i
Results
ErrorSegmentsBranch
44.39%1i
41.92%3n
Compiler

Compiled 71 to 43 computations (39.4% saved)

bsearch74.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
43.0ms
2.7286868869757486e-269
3.7121480496581845e-265
31.0ms
-3.303561157577146e-276
-1.9477502339580044e-277
Results
28.0ms99×body1024valid
20.0ms219×body256invalid
10.0ms103×body256valid
9.0ms17×body2048valid
3.0ms21×body512valid
Compiler

Compiled 294 to 219 computations (25.5% saved)

regimes22.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(/.f64 n 1/100)
(*.f64 50 (*.f64 n i))
(*.f64 n (*.f64 50 i))
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (*.f64 50/3 n) (*.f64 i i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 100/3 (/.f64 n (*.f64 i i)))
Outputs
(*.f64 n 100)
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(+.f64 (*.f64 i -50) (*.f64 100 n))
Calls

2 calls:

15.0ms
n
5.0ms
i
Results
ErrorSegmentsBranch
44.39%1i
42.02%3n
Compiler

Compiled 64 to 40 computations (37.5% saved)

bsearch99.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
2.7286868869757486e-269
3.7121480496581845e-265
54.0ms
-2.0841061827506966e-233
-8.424859499809663e-250
Results
42.0ms143×body1024valid
24.0ms264×body256invalid
15.0ms26×body2048valid
9.0ms89×body256valid
5.0ms30×body512valid
Compiler

Compiled 342 to 255 computations (25.4% saved)

regimes20.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(/.f64 n 1/100)
(*.f64 50 (*.f64 n i))
(*.f64 n (*.f64 50 i))
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (*.f64 50/3 n) (*.f64 i i))
Outputs
(*.f64 n 100)
(*.f64 n (*.f64 (*.f64 i i) 50/3))
(*.f64 n 100)
Calls

2 calls:

13.0ms
n
5.0ms
i
Results
ErrorSegmentsBranch
44.39%1i
42.03%3n
Compiler

Compiled 50 to 32 computations (36% saved)

bsearch91.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
43.0ms
2.7286868869757486e-269
3.7121480496581845e-265
48.0ms
-2.0841061827506966e-233
-8.424859499809663e-250
Results
43.0ms144×body1024valid
19.0ms210×body256invalid
9.0ms16×body2048valid
8.0ms83×body256valid
7.0ms45×body512valid
Compiler

Compiled 310 to 231 computations (25.5% saved)

regimes16.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(/.f64 n 1/100)
(*.f64 50 (*.f64 n i))
(*.f64 n (*.f64 50 i))
(/.f64 100 (/.f64 1 n))
Outputs
(*.f64 n 100)
(*.f64 50 (*.f64 n i))
(*.f64 n 100)
Calls

2 calls:

11.0ms
n
4.0ms
i
Results
ErrorSegmentsBranch
44.39%1i
42.05%3n
Compiler

Compiled 29 to 20 computations (31% saved)

bsearch86.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
48.0ms
2.7286868869757486e-269
3.7121480496581845e-265
38.0ms
-1.9477502339580044e-277
-2.171604060529829e-282
Results
30.0ms105×body1024valid
27.0ms296×body256invalid
12.0ms121×body256valid
10.0ms18×body2048valid
4.0ms28×body512valid
Compiler

Compiled 260 to 202 computations (22.3% saved)

regimes7.0ms (0%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

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

2 calls:

3.0ms
n
3.0ms
i
Results
ErrorSegmentsBranch
44.39%1i
44.39%1n
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify17.0ms (0.1%)

Algorithm
egg-herbie
Rules
34×*-commutative
12×+-commutative
if-if-or-not
sub-neg
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118966
1156966
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 n -2326917010141675/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i)))) (if (<=.f64 n 6131221430890659/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log.f64 (/.f64 i n)))) i))) (if (<=.f64 n 4707826301540011/784637716923335095479473677900958302012794430558004314112) (/.f64 n (+.f64 1/100 (*.f64 i -1/200))) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 10000000000) (/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i 100)) (/.f64 n (+.f64 1/100 (*.f64 i -1/200)))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 10000000000) (*.f64 100 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))) (/.f64 n (+.f64 1/100 (*.f64 i -1/200)))))
(if (<=.f64 n -56939258907925/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) (if (<=.f64 n 816842784198001/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n)) (if (<=.f64 n 4707826301540011/784637716923335095479473677900958302012794430558004314112) (/.f64 n (+.f64 1/100 (*.f64 i -1/200))) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))))))
(if (<=.f64 n -56939258907925/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))) (if (<=.f64 n 816842784198001/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n)) (/.f64 n (+.f64 1/100 (*.f64 i -1/200)))))
(if (<=.f64 n -8596368114099035/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992) (/.f64 n (+.f64 1/100 (*.f64 i -1/200))) (if (<=.f64 n 7260824748426675/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296) (/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n)) (/.f64 n (+.f64 1/100 (*.f64 i -1/200)))))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
(if (<=.f64 n -5862780909258239/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (*.f64 n 100) (if (<=.f64 n 9003422688049077/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 100 (/.f64 i (*.f64 n i))) (+.f64 (*.f64 i -50) (*.f64 100 n))))
(if (<=.f64 n -5038209258419659/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (*.f64 n 100) (if (<=.f64 n 816842784198001/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (*.f64 n (*.f64 (*.f64 i i) 50/3)) (+.f64 (*.f64 i -50) (*.f64 100 n))))
(if (<=.f64 n -2027029543777269/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624) (*.f64 n 100) (if (<=.f64 n 7986907223269343/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592) (*.f64 n (*.f64 (*.f64 i i) 50/3)) (*.f64 n 100)))
(if (<=.f64 n -5388768835743743/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (*.f64 n 100) (if (<=.f64 n 6273352582640647/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (*.f64 50 (*.f64 n i)) (*.f64 n 100)))
(*.f64 n 100)
Outputs
(if (<=.f64 n -2326917010141675/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (/.f64 100 (/.f64 i (*.f64 n (expm1.f64 i)))) (if (<=.f64 n 6131221430890659/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log.f64 (/.f64 i n)))) i))) (if (<=.f64 n 4707826301540011/784637716923335095479473677900958302012794430558004314112) (/.f64 n (+.f64 1/100 (*.f64 i -1/200))) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 10000000000) (/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i 100)) (/.f64 n (+.f64 1/100 (*.f64 i -1/200)))))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)) 0) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)) 10000000000) (/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1)) (/.f64 i 100)) (/.f64 n (+.f64 1/100 (*.f64 i -1/200)))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 10000000000) (*.f64 100 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))) (/.f64 n (+.f64 1/100 (*.f64 i -1/200)))))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)) 0) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)) 10000000000) (*.f64 100 (*.f64 n (/.f64 (+.f64 -1 (pow.f64 (/.f64 i n) n)) i))) (/.f64 n (+.f64 1/100 (*.f64 i -1/200)))))
(if (<=.f64 n -56939258907925/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) (if (<=.f64 n 816842784198001/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n)) (if (<=.f64 n 4707826301540011/784637716923335095479473677900958302012794430558004314112) (/.f64 n (+.f64 1/100 (*.f64 i -1/200))) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))))))
(if (<=.f64 n -56939258907925/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) (if (<=.f64 n 816842784198001/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (/.f64 0 (/.f64 i n)) (if (<=.f64 n 4707826301540011/784637716923335095479473677900958302012794430558004314112) (/.f64 n (+.f64 1/100 (*.f64 i -1/200))) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))))))
(if (<=.f64 n -56939258907925/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))) (if (<=.f64 n 816842784198001/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n)) (/.f64 n (+.f64 1/100 (*.f64 i -1/200)))))
(if (<=.f64 n -56939258907925/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) -1/2))) (if (<=.f64 n 816842784198001/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (/.f64 0 (/.f64 i n)) (/.f64 n (+.f64 1/100 (*.f64 i -1/200)))))
(if (<=.f64 n -8596368114099035/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992) (/.f64 n (+.f64 1/100 (*.f64 i -1/200))) (if (<=.f64 n 7260824748426675/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296) (/.f64 (*.f64 100 (+.f64 1 -1)) (/.f64 i n)) (/.f64 n (+.f64 1/100 (*.f64 i -1/200)))))
(if (or (<=.f64 n -8596368114099035/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992) (not (<=.f64 n 7260824748426675/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296))) (/.f64 n (+.f64 1/100 (*.f64 i -1/200))) (/.f64 0 (/.f64 i n)))
(/.f64 n (+.f64 1/100 (*.f64 i -1/200)))
(if (<=.f64 n -5862780909258239/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (*.f64 n 100) (if (<=.f64 n 9003422688049077/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 100 (/.f64 i (*.f64 n i))) (+.f64 (*.f64 i -50) (*.f64 100 n))))
(if (<=.f64 n -5862780909258239/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (*.f64 n 100) (if (<=.f64 n 9003422688049077/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 100 (/.f64 i (*.f64 n i))) (+.f64 (*.f64 n 100) (*.f64 i -50))))
(if (<=.f64 n -5038209258419659/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (*.f64 n 100) (if (<=.f64 n 816842784198001/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (*.f64 n (*.f64 (*.f64 i i) 50/3)) (+.f64 (*.f64 i -50) (*.f64 100 n))))
(if (<=.f64 n -5038209258419659/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (*.f64 n 100) (if (<=.f64 n 816842784198001/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (*.f64 n (*.f64 (*.f64 i i) 50/3)) (+.f64 (*.f64 n 100) (*.f64 i -50))))
(if (<=.f64 n -2027029543777269/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624) (*.f64 n 100) (if (<=.f64 n 7986907223269343/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592) (*.f64 n (*.f64 (*.f64 i i) 50/3)) (*.f64 n 100)))
(if (<=.f64 n -5388768835743743/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (*.f64 n 100) (if (<=.f64 n 6273352582640647/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (*.f64 50 (*.f64 n i)) (*.f64 n 100)))
(if (<=.f64 n -5388768835743743/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (*.f64 n 100) (if (<=.f64 n 6273352582640647/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944) (*.f64 (*.f64 n i) 50) (*.f64 n 100)))
(*.f64 n 100)
Compiler

Compiled 386 to 257 computations (33.4% saved)

soundness715.0ms (4%)

Algorithm
10×egg-herbie
Rules
1572×associate-+l-
1300×associate-+r-
1228×associate-*r/
1228×associate-*r/
1228×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01243
13143
27039
317139
450839
5205539
6646939
071118496
1215017400
01243
13143
27039
317139
450839
5205539
6646939
071118496
1215017400
058916131
1155714363
2649714333
01243
13143
27039
317139
450839
5205539
6646939
071118496
1215017400
06147782
117587450
277907450
01243
13143
27039
317139
450839
5205539
6646939
071118496
1215017400
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 809 to 532 computations (34.2% saved)

end127.0ms (0.7%)

Compiler

Compiled 364 to 219 computations (39.8% saved)

Profiling

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