Details

Time bar (total: 10.1s)

analyze998.0ms (9.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%84.3%3.2%7
19.5%76.5%4%8
29.3%59.7%11%9
33.4%54.2%12.4%10
38.6%44.1%17.3%11
40.8%40.7%18.5%12
43.4%35%21.6%13
44.6%33.1%22.3%14
Compiler

Compiled 18 to 12 computations (33.3% saved)

sample6.6s (64.7%)

Results
2.9s1826×body2048valid
2.1s2657×body1024valid
525.0ms1230×body512valid
272.0ms1939×body128valid
171.0ms169×body1024invalid
149.0ms568×body256valid
129.0ms244×body512invalid
119.0ms552×body128invalid
89.0ms36×body4096valid
50.0ms141×body256invalid
29.0ms21×body2048invalid
Compiler

Compiled 36 to 24 computations (33.3% saved)

preprocess26.0ms (0.3%)

Algorithm
egg-herbie
Rules
530×times-frac_binary64
481×associate-*l*_binary64
456×associate-*r*_binary64
361×associate-/l*_binary64
242×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01744
14844
212340
332940
4105040
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 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)))
(*.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 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) 1) (/.f64 n i)))
(*.f64 100 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) -1) n) i))
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) -1) (/.f64 n i)))
(*.f64 i (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100) n))
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify20.0ms (0.2%)

Algorithm
egg-herbie
Rules
701×fma-def_binary64
558×associate-/r/_binary64
482×associate-/r*_binary64
406×associate-/l/_binary64
237×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01122
12922
26820
317220
452920
5236020
Stop Event
node limit
Counts
1 → 2
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 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)))
(/.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))

prune7.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
44.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
44.1b
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
44.3b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Compiler

Compiled 97 to 63 computations (35.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)
0.0b
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
1.2b
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
7.8b
(pow.f64 (+.f64 1 (/.f64 i n)) n)

series53.0ms (0.5%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
9.0ms
n
@0
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
7.0ms
n
@inf
(pow.f64 (+.f64 1 (/.f64 i n)) n)
5.0ms
n
@0
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
4.0ms
n
@0
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)
3.0ms
i
@-inf
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))

rewrite69.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
319×prod-diff_binary64
240×fma-def_binary64
224×expm1-udef_binary64
224×log1p-udef_binary64
129×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261
126261
2341661
Stop Event
node limit
Counts
4 → 97
Calls
Call 1
Inputs
(pow.f64 (+.f64 1 (/.f64 i n)) n)
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (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 (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 (pow.f64 1 n) (pow.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 *.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 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 (pow.f64 (+.f64 1 (/.f64 i n)) n) 3))))) (#(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 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 +.f64 -100 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) 1) -100)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) 2) (cbrt.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) (sqrt.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) 3) -1000000) (fma.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) (-.f64 10000 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -10000) (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 100))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) n) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (neg.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)) 2) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (+.f64 1 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(pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)) 1))))))

simplify112.0ms (1.1%)

Algorithm
egg-herbie
Rules
390×times-frac_binary64
302×*-commutative_binary64
290×+-commutative_binary64
262×fma-def_binary64
221×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08698241
132668094
Stop Event
node limit
Counts
193 → 256
Calls
Call 1
Inputs
1
(+.f64 1 i)
(-.f64 (+.f64 1 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))) (*.f64 1/2 (/.f64 (pow.f64 i 2) n)))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 1 (+.f64 i (+.f64 (*.f64 1/2 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/2 (/.f64 (pow.f64 i 3) n))))
(exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i))))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) i) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 2))) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i))))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 2))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) i) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 n 6) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 3))) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i))))))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 n 5) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 3))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 2)))))
(exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) i) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) i) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n)))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) i) (+.f64 (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n)) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 n 6) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 3))))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 n 5) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 3)))))
1
(-.f64 (+.f64 1 (*.f64 n (log.f64 i))) (*.f64 n (log.f64 n)))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 (log.f64 n) 2))) (+.f64 1 (+.f64 (*.f64 (log.f64 i) n) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 i) 2) (pow.f64 n 2))))))) (+.f64 (*.f64 (pow.f64 n 2) (*.f64 (log.f64 i) (log.f64 n))) (*.f64 n (log.f64 n))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 (log.f64 n) 2))) (+.f64 (/.f64 (pow.f64 n 2) i) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 i) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (log.f64 i) 3) (pow.f64 n 3))) (+.f64 (*.f64 (log.f64 i) n) (+.f64 (*.f64 1/2 (*.f64 (log.f64 i) (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 2)))) (/.f64 (*.f64 (log.f64 i) (pow.f64 n 3)) i)))))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 i) 2) (*.f64 (pow.f64 n 3) (log.f64 n)))) (+.f64 (/.f64 (*.f64 (pow.f64 n 3) (log.f64 n)) i) (+.f64 (*.f64 (log.f64 i) (*.f64 (pow.f64 n 2) (log.f64 n))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))) (*.f64 n (log.f64 n))))))))
(exp.f64 i)
(-.f64 (exp.f64 i) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 2)) n)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 i 4) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (exp.f64 i) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 i 3) (exp.f64 i)) (pow.f64 n 2))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 3)) (pow.f64 n 2))) (+.f64 (exp.f64 i) (*.f64 1/8 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 4)) (pow.f64 n 2))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 i 4) (exp.f64 i)) (pow.f64 n 3))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 i 6) (exp.f64 i)) (pow.f64 n 3))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 i 5) (exp.f64 i)) (pow.f64 n 3)))))))
(exp.f64 i)
(-.f64 (exp.f64 i) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 2)) n)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 i 4) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (exp.f64 i) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 i 3) (exp.f64 i)) (pow.f64 n 2))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 3)) (pow.f64 n 2))) (+.f64 (exp.f64 i) (*.f64 1/8 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 4)) (pow.f64 n 2))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 i 4) (exp.f64 i)) (pow.f64 n 3))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 i 6) (exp.f64 i)) (pow.f64 n 3))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 i 5) (exp.f64 i)) (pow.f64 n 3)))))))
(*.f64 100 i)
(-.f64 (+.f64 (*.f64 100 i) (*.f64 50 (pow.f64 i 2))) (*.f64 50 (/.f64 (pow.f64 i 2) n)))
(-.f64 (+.f64 (*.f64 50/3 (pow.f64 i 3)) (+.f64 (*.f64 100 i) (+.f64 (*.f64 50 (pow.f64 i 2)) (*.f64 100/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))))) (+.f64 (*.f64 50 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (/.f64 (pow.f64 i 3) n))))
(-.f64 (+.f64 (*.f64 50/3 (pow.f64 i 3)) (+.f64 (*.f64 275/6 (/.f64 (pow.f64 i 4) (pow.f64 n 2))) (+.f64 (*.f64 25/6 (pow.f64 i 4)) (+.f64 (*.f64 100 i) (+.f64 (*.f64 50 (pow.f64 i 2)) (*.f64 100/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))))))) (+.f64 (*.f64 25 (/.f64 (pow.f64 i 4) n)) (+.f64 (*.f64 50 (/.f64 (pow.f64 i 3) n)) (+.f64 (*.f64 25 (/.f64 (pow.f64 i 4) (pow.f64 n 3))) (*.f64 50 (/.f64 (pow.f64 i 2) n))))))
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) i)) (*.f64 100 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))))) (+.f64 100 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 2)))))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 3))) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (pow.f64 n 6) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 3))) (*.f64 100 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))))))) (+.f64 100 (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 5) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 3))) (*.f64 50 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) (pow.f64 i 2))))))
(-.f64 (*.f64 100 (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) i)) (*.f64 100 (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n)))) 100)
(-.f64 (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) i)) (*.f64 100 (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))))) (+.f64 100 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 2)))))
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100
(-.f64 (+.f64 100 (*.f64 50 i)) (*.f64 50 (/.f64 i n)))
(-.f64 (+.f64 100 (+.f64 (*.f64 50 i) (+.f64 (*.f64 50/3 (pow.f64 i 2)) (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
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(/.f64 (-.f64 (*.f64 100 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) 100) i)
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(*.f64 -1 (/.f64 (-.f64 100 (*.f64 100 (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n)))) i))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 2))) (*.f64 100 (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n)) i))) (*.f64 100 (/.f64 1 i)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 2))) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 3))) (*.f64 100 (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n)) i)))) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 3))) (*.f64 100 (/.f64 1 i))))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 2))) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 3))) (+.f64 (*.f64 100/3 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 4))) (+.f64 (*.f64 100 (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n)) i)) (*.f64 50/3 (/.f64 (*.f64 (pow.f64 n 6) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 4))))))) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 1 i)) (*.f64 50 (/.f64 (*.f64 (pow.f64 n 5) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))) (pow.f64 i 4))))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (log.f64 i)) (*.f64 100 (log.f64 n)))) i)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 i)) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 (log.f64 i) 2) (pow.f64 n 2)) i)) (+.f64 (*.f64 100 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (*.f64 50 (/.f64 (*.f64 (pow.f64 n 2) (pow.f64 (log.f64 n) 2)) i))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (log.f64 i) (*.f64 (pow.f64 n 2) (log.f64 n))) i)) (*.f64 100 (/.f64 (*.f64 n (log.f64 n)) i))))
(-.f64 (+.f64 (*.f64 50 (/.f64 (*.f64 (log.f64 i) (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 2))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (log.f64 i) (pow.f64 n 3)) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 i)) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 2) (pow.f64 (log.f64 i) 2)) i)) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (pow.f64 (log.f64 i) 3) (pow.f64 n 3)) i)) (+.f64 (*.f64 100 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (*.f64 50 (/.f64 (*.f64 (pow.f64 n 2) (pow.f64 (log.f64 n) 2)) i)))))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (log.f64 n)) (pow.f64 i 2))) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 3)) i)) (+.f64 (*.f64 50 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (*.f64 (log.f64 i) (log.f64 n))) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 (log.f64 i) 2) (*.f64 (pow.f64 n 3) (log.f64 n))) i)) (*.f64 100 (/.f64 (*.f64 n (log.f64 n)) i))))))))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (log.f64 i)) (pow.f64 i 2))) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 3) (*.f64 (log.f64 i) (pow.f64 (log.f64 n) 2))) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 4) (log.f64 n)) (pow.f64 i 3))) (+.f64 (*.f64 50 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 n 4) (pow.f64 i 4))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 i)) i)) (+.f64 (*.f64 25/6 (/.f64 (*.f64 (pow.f64 (log.f64 i) 4) (pow.f64 n 4)) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 2) (pow.f64 (log.f64 i) 2)) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 2) (pow.f64 (log.f64 n) 2)) i)) (+.f64 (*.f64 25 (/.f64 (*.f64 (pow.f64 (log.f64 i) 2) (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 n) 2))) i)) (+.f64 (*.f64 25/6 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 n) 4)) i)) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 3)) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 (log.f64 i) 2) (pow.f64 n 4)) (pow.f64 i 2))) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 n) 2)) (pow.f64 i 2))) (*.f64 100 (/.f64 (pow.f64 n 2) (pow.f64 i 2))))))))))))))))) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (log.f64 i) (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 n) 3))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (log.f64 i) (*.f64 (pow.f64 n 4) (log.f64 n))) (pow.f64 i 2))) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (pow.f64 (log.f64 i) 3) (*.f64 (pow.f64 n 4) (log.f64 n))) i)) (+.f64 (*.f64 50 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 (log.f64 i) 2) (log.f64 n))) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (log.f64 i) (pow.f64 n 4)) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (log.f64 n)) (pow.f64 i 2))) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 3)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (*.f64 (log.f64 i) (log.f64 n))) i)) (*.f64 100 (/.f64 (*.f64 n (log.f64 n)) i))))))))))))
(/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)
(-.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (exp.f64 i) i) n)) (*.f64 100 (/.f64 1 i))))
(-.f64 (+.f64 (*.f64 100/3 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (*.f64 25/2 (/.f64 (*.f64 (pow.f64 i 3) (exp.f64 i)) (pow.f64 n 2))))) (+.f64 (*.f64 100 (/.f64 1 i)) (*.f64 50 (/.f64 (*.f64 i (exp.f64 i)) n))))
(-.f64 (+.f64 (*.f64 25/2 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 3)) (pow.f64 n 2))) (+.f64 (*.f64 100/3 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 2)) (pow.f64 n 2))) (*.f64 100 (/.f64 (exp.f64 i) i)))) (+.f64 (*.f64 25/12 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 5)) (pow.f64 n 3))) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 4)) (pow.f64 n 3))) (+.f64 (*.f64 100 (/.f64 1 i)) (+.f64 (*.f64 25 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 3)) (pow.f64 n 3))) (*.f64 50 (/.f64 (*.f64 i (exp.f64 i)) n)))))))
(/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)
(-.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (exp.f64 i) i) n)) (*.f64 100 (/.f64 1 i))))
(-.f64 (+.f64 (*.f64 100/3 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (*.f64 25/2 (/.f64 (*.f64 (pow.f64 i 3) (exp.f64 i)) (pow.f64 n 2))))) (+.f64 (*.f64 100 (/.f64 1 i)) (*.f64 50 (/.f64 (*.f64 i (exp.f64 i)) n))))
(-.f64 (+.f64 (*.f64 25/2 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 3)) (pow.f64 n 2))) (+.f64 (*.f64 100/3 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 2)) (pow.f64 n 2))) (*.f64 100 (/.f64 (exp.f64 i) i)))) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (pow.f64 i 4) (exp.f64 i)) (pow.f64 n 3))) (+.f64 (*.f64 100 (/.f64 1 i)) (+.f64 (*.f64 25 (/.f64 (*.f64 (pow.f64 i 3) (exp.f64 i)) (pow.f64 n 3))) (+.f64 (*.f64 25/12 (/.f64 (*.f64 (pow.f64 i 5) (exp.f64 i)) (pow.f64 n 3))) (*.f64 50 (/.f64 (*.f64 i (exp.f64 i)) n)))))))
Outputs
1
(+.f64 1 i)
(-.f64 (+.f64 1 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))) (*.f64 1/2 (/.f64 (pow.f64 i 2) n)))
(+.f64 1 (-.f64 (+.f64 i (*.f64 1/2 (*.f64 i i))) (*.f64 1/2 (/.f64 (*.f64 i i) n))))
(+.f64 (+.f64 (+.f64 1 i) (*.f64 1/2 (*.f64 i i))) (*.f64 (/.f64 (*.f64 i i) n) -1/2))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 1 (+.f64 i (+.f64 (*.f64 1/2 (pow.f64 i 2)) (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/2 (/.f64 (pow.f64 i 3) n))))
(-.f64 (fma.f64 1/6 (pow.f64 i 3) (+.f64 1 (+.f64 i (fma.f64 1/2 (*.f64 i i) (*.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n))))))) (*.f64 1/2 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 (pow.f64 i 3) n))))
(+.f64 (fma.f64 1/6 (pow.f64 i 3) (+.f64 (+.f64 1 i) (fma.f64 1/2 (*.f64 i i) (/.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 n n))))) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 (pow.f64 i 3) n))))
(exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))
(pow.f64 (exp.f64 n) (-.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 i))))
(pow.f64 (exp.f64 n) (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)))
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i)))))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 1 n)) (log.f64 (/.f64 1 i))))))
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(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (log.f64 i)) (pow.f64 i 2))) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 3) (*.f64 (log.f64 i) (pow.f64 (log.f64 n) 2))) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 4) (log.f64 n)) (pow.f64 i 3))) (+.f64 (*.f64 50 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 n 4) (pow.f64 i 4))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (log.f64 i)) i)) (+.f64 (*.f64 25/6 (/.f64 (*.f64 (pow.f64 (log.f64 i) 4) (pow.f64 n 4)) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 2) (pow.f64 (log.f64 i) 2)) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 2) (pow.f64 (log.f64 n) 2)) i)) (+.f64 (*.f64 25 (/.f64 (*.f64 (pow.f64 (log.f64 i) 2) (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 n) 2))) i)) (+.f64 (*.f64 25/6 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 n) 4)) i)) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 3)) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 (log.f64 i) 2) (pow.f64 n 4)) (pow.f64 i 2))) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 n) 2)) (pow.f64 i 2))) (*.f64 100 (/.f64 (pow.f64 n 2) (pow.f64 i 2))))))))))))))))) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (log.f64 i) (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 n) 3))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (log.f64 i) (*.f64 (pow.f64 n 4) (log.f64 n))) (pow.f64 i 2))) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (pow.f64 (log.f64 i) 3) (*.f64 (pow.f64 n 4) (log.f64 n))) i)) (+.f64 (*.f64 50 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 50 (/.f64 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 (log.f64 i) 2) (log.f64 n))) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (log.f64 i) (pow.f64 n 4)) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (log.f64 n)) (pow.f64 i 2))) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 3)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (*.f64 (log.f64 i) (log.f64 n))) i)) (*.f64 100 (/.f64 (*.f64 n (log.f64 n)) i))))))))))))
(-.f64 (fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (log.f64 i))) (fma.f64 50 (/.f64 (log.f64 i) (/.f64 i (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 2)))) (fma.f64 50 (/.f64 (pow.f64 n 4) (/.f64 (pow.f64 i 3) (log.f64 n))) (fma.f64 50 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 100/3 (/.f64 (pow.f64 n 4) (pow.f64 i 4)) (fma.f64 100 (/.f64 n (/.f64 i (log.f64 i))) (fma.f64 25/6 (/.f64 (pow.f64 (log.f64 i) 4) (/.f64 i (pow.f64 n 4))) (fma.f64 50 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (log.f64 i) 2))) (fma.f64 50 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (log.f64 n) 2))) (fma.f64 25 (/.f64 (pow.f64 (log.f64 i) 2) (/.f64 i (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 n) 2)))) (fma.f64 25/6 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 n) 4)) i) (fma.f64 50/3 (/.f64 (pow.f64 (log.f64 i) 3) (/.f64 i (pow.f64 n 3))) (fma.f64 50 (/.f64 (pow.f64 (log.f64 i) 2) (/.f64 (*.f64 i i) (pow.f64 n 4))) (fma.f64 50 (/.f64 (pow.f64 n 4) (/.f64 (*.f64 i i) (pow.f64 (log.f64 n) 2))) (*.f64 100 (/.f64 (*.f64 n n) (*.f64 i i))))))))))))))))) (fma.f64 50/3 (/.f64 (log.f64 i) (/.f64 i (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 n) 3)))) (fma.f64 100 (/.f64 (log.f64 i) (/.f64 (*.f64 i i) (*.f64 (pow.f64 n 4) (log.f64 n)))) (fma.f64 50/3 (/.f64 (pow.f64 (log.f64 i) 3) (/.f64 i (*.f64 (pow.f64 n 4) (log.f64 n)))) (fma.f64 50 (/.f64 (pow.f64 n 3) (pow.f64 i 3)) (fma.f64 50 (/.f64 (pow.f64 n 3) (/.f64 i (*.f64 (log.f64 n) (pow.f64 (log.f64 i) 2)))) (fma.f64 50 (/.f64 (log.f64 i) (/.f64 (pow.f64 i 3) (pow.f64 n 4))) (fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (log.f64 n))) (fma.f64 50/3 (/.f64 (pow.f64 n 3) (/.f64 i (pow.f64 (log.f64 n) 3))) (*.f64 100 (+.f64 (/.f64 (log.f64 i) (/.f64 i (*.f64 (*.f64 n n) (log.f64 n)))) (/.f64 n (/.f64 i (log.f64 n))))))))))))))
(-.f64 (fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (log.f64 i))) (fma.f64 50 (/.f64 (*.f64 (*.f64 (pow.f64 n 3) (log.f64 i)) (pow.f64 (log.f64 n) 2)) i) (fma.f64 50 (*.f64 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (log.f64 n)) (fma.f64 50 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 100/3 (/.f64 (pow.f64 n 4) (pow.f64 i 4)) (fma.f64 100 (*.f64 (/.f64 n i) (log.f64 i)) (fma.f64 25/6 (*.f64 (/.f64 (pow.f64 (log.f64 i) 4) i) (pow.f64 n 4)) (fma.f64 50 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (log.f64 i) 2))) (fma.f64 50 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (log.f64 n) 2)) (fma.f64 25 (*.f64 (/.f64 (pow.f64 (log.f64 i) 2) i) (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 n) 2))) (fma.f64 25/6 (*.f64 (/.f64 (pow.f64 n 4) i) (pow.f64 (log.f64 n) 4)) (fma.f64 50/3 (*.f64 (/.f64 (pow.f64 n 3) i) (pow.f64 (log.f64 i) 3)) (fma.f64 50 (*.f64 (/.f64 (pow.f64 n 4) i) (/.f64 (pow.f64 (log.f64 i) 2) i)) (fma.f64 50 (*.f64 (/.f64 (pow.f64 n 4) (*.f64 i i)) (pow.f64 (log.f64 n) 2)) (*.f64 100 (*.f64 (/.f64 n i) (/.f64 n i))))))))))))))))) (fma.f64 50/3 (*.f64 (/.f64 (log.f64 i) i) (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 n) 3))) (fma.f64 100 (/.f64 (log.f64 i) (*.f64 (/.f64 i (pow.f64 n 4)) (/.f64 i (log.f64 n)))) (fma.f64 50/3 (/.f64 (pow.f64 (log.f64 i) 3) (/.f64 i (*.f64 (pow.f64 n 4) (log.f64 n)))) (fma.f64 50 (/.f64 (pow.f64 n 3) (pow.f64 i 3)) (fma.f64 50 (/.f64 (pow.f64 (log.f64 i) 2) (/.f64 i (*.f64 (pow.f64 n 3) (log.f64 n)))) (fma.f64 50 (*.f64 (/.f64 (log.f64 i) (pow.f64 i 3)) (pow.f64 n 4)) (fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (log.f64 n)) (fma.f64 50/3 (*.f64 (/.f64 (pow.f64 n 3) i) (pow.f64 (log.f64 n) 3)) (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (log.f64 n)) (*.f64 (/.f64 (*.f64 n n) i) (*.f64 (log.f64 i) (log.f64 n))))))))))))))
(/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)
(/.f64 (fma.f64 100 (exp.f64 i) -100) i)
(/.f64 (fma.f64 (exp.f64 i) 100 -100) i)
(-.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (exp.f64 i) i) n)) (*.f64 100 (/.f64 1 i))))
(-.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (fma.f64 50 (/.f64 i (/.f64 n (exp.f64 i))) (/.f64 100 i)))
(-.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (fma.f64 50 (*.f64 (/.f64 i n) (exp.f64 i)) (/.f64 100 i)))
(-.f64 (+.f64 (*.f64 100/3 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (*.f64 25/2 (/.f64 (*.f64 (pow.f64 i 3) (exp.f64 i)) (pow.f64 n 2))))) (+.f64 (*.f64 100 (/.f64 1 i)) (*.f64 50 (/.f64 (*.f64 i (exp.f64 i)) n))))
(-.f64 (fma.f64 25/2 (/.f64 (pow.f64 i 3) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 100/3 (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) (*.f64 n n)) (*.f64 100 (/.f64 (exp.f64 i) i)))) (fma.f64 50 (/.f64 i (/.f64 n (exp.f64 i))) (/.f64 100 i)))
(-.f64 (fma.f64 100/3 (*.f64 (/.f64 (*.f64 i i) n) (/.f64 (exp.f64 i) n)) (fma.f64 100 (/.f64 (exp.f64 i) i) (*.f64 (/.f64 (pow.f64 i 3) (/.f64 (*.f64 n n) (exp.f64 i))) 25/2))) (fma.f64 50 (*.f64 (/.f64 i n) (exp.f64 i)) (/.f64 100 i)))
(-.f64 (+.f64 (*.f64 25/2 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 3)) (pow.f64 n 2))) (+.f64 (*.f64 100/3 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 2)) (pow.f64 n 2))) (*.f64 100 (/.f64 (exp.f64 i) i)))) (+.f64 (*.f64 25/12 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 5)) (pow.f64 n 3))) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 4)) (pow.f64 n 3))) (+.f64 (*.f64 100 (/.f64 1 i)) (+.f64 (*.f64 25 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 3)) (pow.f64 n 3))) (*.f64 50 (/.f64 (*.f64 i (exp.f64 i)) n)))))))
(-.f64 (fma.f64 25/2 (/.f64 (pow.f64 i 3) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 100/3 (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) (*.f64 n n)) (*.f64 100 (/.f64 (exp.f64 i) i)))) (fma.f64 25/12 (/.f64 (exp.f64 i) (/.f64 (pow.f64 n 3) (pow.f64 i 5))) (fma.f64 50/3 (/.f64 (pow.f64 i 4) (/.f64 (pow.f64 n 3) (exp.f64 i))) (+.f64 (/.f64 100 i) (fma.f64 25 (/.f64 (pow.f64 i 3) (/.f64 (pow.f64 n 3) (exp.f64 i))) (/.f64 (*.f64 50 (*.f64 i (exp.f64 i))) n))))))
(-.f64 (fma.f64 100/3 (*.f64 (/.f64 (*.f64 i i) n) (/.f64 (exp.f64 i) n)) (fma.f64 100 (/.f64 (exp.f64 i) i) (*.f64 (/.f64 (pow.f64 i 3) (/.f64 (*.f64 n n) (exp.f64 i))) 25/2))) (fma.f64 25/12 (*.f64 (/.f64 (pow.f64 i 5) (pow.f64 n 3)) (exp.f64 i)) (fma.f64 50/3 (*.f64 (/.f64 (pow.f64 i 4) (pow.f64 n 3)) (exp.f64 i)) (+.f64 (/.f64 100 i) (fma.f64 25 (*.f64 (/.f64 (pow.f64 i 3) (pow.f64 n 3)) (exp.f64 i)) (*.f64 50 (*.f64 (/.f64 i n) (exp.f64 i))))))))
(/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)
(/.f64 (fma.f64 100 (exp.f64 i) -100) i)
(/.f64 (fma.f64 (exp.f64 i) 100 -100) i)
(-.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (+.f64 (*.f64 50 (/.f64 (*.f64 (exp.f64 i) i) n)) (*.f64 100 (/.f64 1 i))))
(-.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (fma.f64 50 (/.f64 i (/.f64 n (exp.f64 i))) (/.f64 100 i)))
(-.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (fma.f64 50 (*.f64 (/.f64 i n) (exp.f64 i)) (/.f64 100 i)))
(-.f64 (+.f64 (*.f64 100/3 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (*.f64 25/2 (/.f64 (*.f64 (pow.f64 i 3) (exp.f64 i)) (pow.f64 n 2))))) (+.f64 (*.f64 100 (/.f64 1 i)) (*.f64 50 (/.f64 (*.f64 i (exp.f64 i)) n))))
(-.f64 (fma.f64 25/2 (/.f64 (pow.f64 i 3) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 100/3 (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) (*.f64 n n)) (*.f64 100 (/.f64 (exp.f64 i) i)))) (fma.f64 50 (/.f64 i (/.f64 n (exp.f64 i))) (/.f64 100 i)))
(-.f64 (fma.f64 100/3 (*.f64 (/.f64 (*.f64 i i) n) (/.f64 (exp.f64 i) n)) (fma.f64 100 (/.f64 (exp.f64 i) i) (*.f64 (/.f64 (pow.f64 i 3) (/.f64 (*.f64 n n) (exp.f64 i))) 25/2))) (fma.f64 50 (*.f64 (/.f64 i n) (exp.f64 i)) (/.f64 100 i)))
(-.f64 (+.f64 (*.f64 25/2 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 3)) (pow.f64 n 2))) (+.f64 (*.f64 100/3 (/.f64 (*.f64 (exp.f64 i) (pow.f64 i 2)) (pow.f64 n 2))) (*.f64 100 (/.f64 (exp.f64 i) i)))) (+.f64 (*.f64 50/3 (/.f64 (*.f64 (pow.f64 i 4) (exp.f64 i)) (pow.f64 n 3))) (+.f64 (*.f64 100 (/.f64 1 i)) (+.f64 (*.f64 25 (/.f64 (*.f64 (pow.f64 i 3) (exp.f64 i)) (pow.f64 n 3))) (+.f64 (*.f64 25/12 (/.f64 (*.f64 (pow.f64 i 5) (exp.f64 i)) (pow.f64 n 3))) (*.f64 50 (/.f64 (*.f64 i (exp.f64 i)) n)))))))
(-.f64 (fma.f64 25/2 (/.f64 (pow.f64 i 3) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 100/3 (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) (*.f64 n n)) (*.f64 100 (/.f64 (exp.f64 i) i)))) (fma.f64 50/3 (/.f64 (pow.f64 i 4) (/.f64 (pow.f64 n 3) (exp.f64 i))) (+.f64 (/.f64 100 i) (fma.f64 25 (/.f64 (pow.f64 i 3) (/.f64 (pow.f64 n 3) (exp.f64 i))) (fma.f64 25/12 (/.f64 (exp.f64 i) (/.f64 (pow.f64 n 3) (pow.f64 i 5))) (/.f64 (*.f64 50 (*.f64 i (exp.f64 i))) n))))))
(-.f64 (fma.f64 100/3 (*.f64 (/.f64 (*.f64 i i) n) (/.f64 (exp.f64 i) n)) (fma.f64 100 (/.f64 (exp.f64 i) i) (*.f64 (/.f64 (pow.f64 i 3) (/.f64 (*.f64 n n) (exp.f64 i))) 25/2))) (fma.f64 50/3 (*.f64 (/.f64 (pow.f64 i 4) (pow.f64 n 3)) (exp.f64 i)) (+.f64 (/.f64 100 i) (fma.f64 25 (*.f64 (/.f64 (pow.f64 i 3) (pow.f64 n 3)) (exp.f64 i)) (fma.f64 25/12 (*.f64 (/.f64 (pow.f64 i 5) (pow.f64 n 3)) (exp.f64 i)) (*.f64 50 (*.f64 (/.f64 i n) (exp.f64 i))))))))

prune329.0ms (3.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New24016256
Fresh101
Picked101
Done000
Total24216258
Error
2.5b
Counts
258 → 16
Alt Table
StatusErrorProgram
44.1b
(/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))
55.1b
(*.f64 (/.f64 (*.f64 n n) i) (*.f64 100 (-.f64 (log.f64 i) (log.f64 n))))
30.7b
(*.f64 100 n)
55.3b
(*.f64 n (/.f64 (-.f64 (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 i) 2)) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 3)) (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 n) 2)) (fma.f64 100 (/.f64 (*.f64 n n) i) (fma.f64 100 (*.f64 n (log.f64 i)) (fma.f64 50 (*.f64 (*.f64 (pow.f64 n 3) (log.f64 i)) (pow.f64 (log.f64 n) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 i)) 100))))))) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 3)) (fma.f64 50 (*.f64 (pow.f64 n 3) (*.f64 (log.f64 n) (pow.f64 (log.f64 i) 2))) (fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 n)) (fma.f64 100 (*.f64 (*.f64 n n) (*.f64 (log.f64 i) (log.f64 n))) (fma.f64 50 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (*.f64 n 100) (log.f64 n)))))))) i))
31.6b
(*.f64 n (+.f64 100 (+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))))
58.5b
(-.f64 (fma.f64 100/3 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 25/2 (*.f64 (/.f64 (exp.f64 i) n) (pow.f64 i 3)) (/.f64 (*.f64 100 (*.f64 n (exp.f64 i))) i))) (fma.f64 100 (/.f64 n i) (*.f64 50 (*.f64 i (exp.f64 i)))))
49.7b
(+.f64 (*.f64 100 (-.f64 (*.f64 (/.f64 n i) (exp.f64 i)) (/.f64 n i))) (*.f64 -50 (*.f64 i (exp.f64 i))))
44.1b
(*.f64 n (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) 3) -1000000) (fma.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) (-.f64 10000 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100)))) i))
47.8b
(/.f64 (fma.f64 (exp.f64 i) 100 -100) (/.f64 i n))
47.7b
(/.f64 (*.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) n) i)
53.0b
(*.f64 -1 (/.f64 (-.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))))) i))
55.5b
(+.f64 (fma.f64 50 (*.f64 (/.f64 (pow.f64 n 3) i) (pow.f64 (log.f64 i) 2)) (fma.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (log.f64 i)) (fma.f64 100 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 50 (*.f64 (/.f64 (pow.f64 n 3) i) (pow.f64 (log.f64 n) 2)))))) (*.f64 -100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (*.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (*.f64 n n) i) (log.f64 n)))))
31.6b
(+.f64 (fma.f64 50/3 (*.f64 (*.f64 i i) n) (fma.f64 100 n (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 (*.f64 50 n) i)))) (*.f64 -50 (+.f64 i (*.f64 i i))))
54.2b
(*.f64 n (*.f64 (/.f64 n i) (*.f64 100 (-.f64 (log.f64 i) (log.f64 n)))))
47.7b
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i))
54.2b
(*.f64 n (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 50 (*.f64 n n)) (+.f64 (pow.f64 (log.f64 i) 2) (pow.f64 (log.f64 n) 2))) (*.f64 100 (+.f64 (*.f64 n (log.f64 i)) (/.f64 (*.f64 n n) i)))) (*.f64 -100 (*.f64 (log.f64 n) (+.f64 n (*.f64 (*.f64 n n) (log.f64 i)))))) i))
Compiler

Compiled 13827 to 8555 computations (38.1% saved)

localize2.0ms (0%)

prune24.0ms (0.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01515
Picked011
Done000
Total01616
Error
2.5b
Counts
16 → 16
Alt Table
StatusErrorProgram
44.1b
(/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))
55.1b
(*.f64 (/.f64 (*.f64 n n) i) (*.f64 100 (-.f64 (log.f64 i) (log.f64 n))))
30.7b
(*.f64 100 n)
55.3b
(*.f64 n (/.f64 (-.f64 (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 i) 2)) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 3)) (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 n) 2)) (fma.f64 100 (/.f64 (*.f64 n n) i) (fma.f64 100 (*.f64 n (log.f64 i)) (fma.f64 50 (*.f64 (*.f64 (pow.f64 n 3) (log.f64 i)) (pow.f64 (log.f64 n) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 i)) 100))))))) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 3)) (fma.f64 50 (*.f64 (pow.f64 n 3) (*.f64 (log.f64 n) (pow.f64 (log.f64 i) 2))) (fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 n)) (fma.f64 100 (*.f64 (*.f64 n n) (*.f64 (log.f64 i) (log.f64 n))) (fma.f64 50 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (*.f64 n 100) (log.f64 n)))))))) i))
31.6b
(*.f64 n (+.f64 100 (+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))))
58.5b
(-.f64 (fma.f64 100/3 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 25/2 (*.f64 (/.f64 (exp.f64 i) n) (pow.f64 i 3)) (/.f64 (*.f64 100 (*.f64 n (exp.f64 i))) i))) (fma.f64 100 (/.f64 n i) (*.f64 50 (*.f64 i (exp.f64 i)))))
49.7b
(+.f64 (*.f64 100 (-.f64 (*.f64 (/.f64 n i) (exp.f64 i)) (/.f64 n i))) (*.f64 -50 (*.f64 i (exp.f64 i))))
44.1b
(*.f64 n (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) 3) -1000000) (fma.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) (-.f64 10000 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100)))) i))
47.8b
(/.f64 (fma.f64 (exp.f64 i) 100 -100) (/.f64 i n))
47.7b
(/.f64 (*.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) n) i)
53.0b
(*.f64 -1 (/.f64 (-.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))))) i))
55.5b
(+.f64 (fma.f64 50 (*.f64 (/.f64 (pow.f64 n 3) i) (pow.f64 (log.f64 i) 2)) (fma.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (log.f64 i)) (fma.f64 100 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 50 (*.f64 (/.f64 (pow.f64 n 3) i) (pow.f64 (log.f64 n) 2)))))) (*.f64 -100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (*.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (*.f64 n n) i) (log.f64 n)))))
31.6b
(+.f64 (fma.f64 50/3 (*.f64 (*.f64 i i) n) (fma.f64 100 n (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 (*.f64 50 n) i)))) (*.f64 -50 (+.f64 i (*.f64 i i))))
54.2b
(*.f64 n (*.f64 (/.f64 n i) (*.f64 100 (-.f64 (log.f64 i) (log.f64 n)))))
47.7b
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i))
54.2b
(*.f64 n (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 50 (*.f64 n n)) (+.f64 (pow.f64 (log.f64 i) 2) (pow.f64 (log.f64 n) 2))) (*.f64 100 (+.f64 (*.f64 n (log.f64 i)) (/.f64 (*.f64 n n) i)))) (*.f64 -100 (*.f64 (log.f64 n) (+.f64 n (*.f64 (*.f64 n n) (log.f64 i)))))) i))
Compiler

Compiled 1081 to 672 computations (37.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.1b
(*.f64 n (+.f64 100 (+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))))
4.0b
(+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))
4.8b
(+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
6.8b
(/.f64 (*.f64 i i) n)

series20.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
i
@inf
(/.f64 (*.f64 i i) n)
2.0ms
n
@inf
(/.f64 (*.f64 i i) n)
2.0ms
i
@inf
(+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
1.0ms
i
@0
(+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
1.0ms
n
@0
(+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))

rewrite55.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
239×add-sqr-sqrt_binary64
228×*-un-lft-identity_binary64
228×pow1_binary64
226×add-exp-log_binary64
226×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020104
1471100
Stop Event
node limit
Counts
4 → 87
Calls
Call 1
Inputs
(/.f64 (*.f64 i i) n)
(+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))
(*.f64 n (+.f64 100 (+.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n))))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 i (/.f64 n i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i i) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 i (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 i (/.f64 n i)) 2)) (cbrt.f64 (/.f64 i (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 i (/.f64 n i))) (sqrt.f64 (/.f64 i (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (/.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 i (/.f64 n i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 i (/.f64 n i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 i (/.f64 n i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (*.f64 i i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 i (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 i (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 i (/.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 i i) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 i (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 i (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 i (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 i (/.f64 n i))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))) 2) (cbrt.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))) (sqrt.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) 3) -125000)) (+.f64 (pow.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))) 2) (-.f64 (pow.f64 (*.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n))) 2) (*.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))) (*.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))) 2) (pow.f64 (*.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n))) 2)) (-.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))) (*.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) -50 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))) (*.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n))) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)))) 2) (cbrt.f64 (*.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)))) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))) 2) (cbrt.f64 (fma.f64 50 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simplify58.0ms (0.6%)

Algorithm
egg-herbie
Rules
532×cancel-sign-sub-inv_binary64
475×fma-neg_binary64
362×fma-def_binary64
185×sub-neg_binary64
180×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0652028
12161925
26811716
322891644
Stop Event
node limit
Counts
183 → 128
Calls
Call 1
Inputs
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(/.f64 (pow.f64 i 2) n)
(*.f64 i (-.f64 50 (*.f64 50 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(-.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 50/3 (pow.f64 i 2)) (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 50/3 (pow.f64 i 2)) (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(-.f64 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(-.f64 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(/.f64 i n)
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(/.f64 (pow.f64 i 2) n)
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(/.f64 (pow.f64 i 2) n)
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(-.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 100 n) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 100 n) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(*.f64 n (+.f64 100 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100 n) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100 n) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100 n) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(*.f64 n (+.f64 100 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100 n) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100 n) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100 n) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(*.f64 100 n)
(-.f64 (+.f64 (*.f64 100 n) (*.f64 50 (*.f64 n i))) (*.f64 50 i))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100 n) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100 n) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n)))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 100 n) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 100 n) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n)))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 100 n) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 100 n) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
Outputs
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(/.f64 (pow.f64 i 2) n)
(/.f64 (*.f64 i i) n)
(/.f64 i (/.f64 n i))
(*.f64 (/.f64 i n) i)
(*.f64 i (-.f64 50 (*.f64 50 (/.f64 1 n))))
(*.f64 i (-.f64 50 (/.f64 50 n)))
(*.f64 i (+.f64 50 (/.f64 -50 n)))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(+.f64 (fma.f64 i 50 (fma.f64 (*.f64 i i) 50/3 (*.f64 (/.f64 100/3 n) (/.f64 (*.f64 i i) n)))) (*.f64 -50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (/.f64 (*.f64 i -50) n)))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 100/3 (*.f64 n n)))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(+.f64 (fma.f64 i 50 (fma.f64 (*.f64 i i) 50/3 (*.f64 (/.f64 100/3 n) (/.f64 (*.f64 i i) n)))) (*.f64 -50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (/.f64 (*.f64 i -50) n)))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 100/3 (*.f64 n n)))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(+.f64 (fma.f64 i 50 (fma.f64 (*.f64 i i) 50/3 (*.f64 (/.f64 100/3 n) (/.f64 (*.f64 i i) n)))) (*.f64 -50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (/.f64 (*.f64 i -50) n)))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 100/3 (*.f64 n n)))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n))))
(*.f64 (*.f64 i i) (+.f64 50/3 (-.f64 (/.f64 100/3 (*.f64 n n)) (/.f64 50 n))))
(*.f64 (*.f64 i i) (+.f64 (/.f64 100/3 (*.f64 n n)) (-.f64 50/3 (/.f64 50 n))))
(*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n)))))
(*.f64 (*.f64 i i) (+.f64 50/3 (+.f64 (/.f64 100/3 (*.f64 n n)) (/.f64 -50 n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(+.f64 (fma.f64 i 50 (fma.f64 (*.f64 i i) 50/3 (*.f64 (/.f64 100/3 n) (/.f64 (*.f64 i i) n)))) (*.f64 -50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (/.f64 (*.f64 i -50) n)))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 100/3 (*.f64 n n)))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(+.f64 (fma.f64 i 50 (fma.f64 (*.f64 i i) 50/3 (*.f64 (/.f64 100/3 n) (/.f64 (*.f64 i i) n)))) (*.f64 -50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (/.f64 (*.f64 i -50) n)))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 100/3 (*.f64 n n)))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(+.f64 (fma.f64 i 50 (fma.f64 (*.f64 i i) 50/3 (*.f64 (/.f64 100/3 n) (/.f64 (*.f64 i i) n)))) (*.f64 -50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (/.f64 (*.f64 i -50) n)))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 100/3 (*.f64 n n)))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n))))
(*.f64 (*.f64 i i) (+.f64 50/3 (-.f64 (/.f64 100/3 (*.f64 n n)) (/.f64 50 n))))
(*.f64 (*.f64 i i) (+.f64 (/.f64 100/3 (*.f64 n n)) (-.f64 50/3 (/.f64 50 n))))
(*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n)))))
(*.f64 (*.f64 i i) (+.f64 50/3 (+.f64 (/.f64 100/3 (*.f64 n n)) (/.f64 -50 n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(+.f64 (fma.f64 i 50 (fma.f64 (*.f64 i i) 50/3 (*.f64 (/.f64 100/3 n) (/.f64 (*.f64 i i) n)))) (*.f64 -50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (/.f64 (*.f64 i -50) n)))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 100/3 (*.f64 n n)))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(+.f64 (fma.f64 i 50 (fma.f64 (*.f64 i i) 50/3 (*.f64 (/.f64 100/3 n) (/.f64 (*.f64 i i) n)))) (*.f64 -50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (/.f64 (*.f64 i -50) n)))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 100/3 (*.f64 n n)))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(+.f64 (fma.f64 i 50 (fma.f64 (*.f64 i i) 50/3 (*.f64 (/.f64 100/3 n) (/.f64 (*.f64 i i) n)))) (*.f64 -50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (/.f64 (*.f64 i -50) n)))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 100/3 (*.f64 n n)))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 (/.f64 100/3 n) (/.f64 (*.f64 i i) n))
(*.f64 (/.f64 i (/.f64 n i)) (/.f64 100/3 n))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(-.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n))) (*.f64 50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 -50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(+.f64 (*.f64 (/.f64 i (/.f64 n i)) (-.f64 (/.f64 100/3 n) 50)) (/.f64 (*.f64 i -50) n))
(fma.f64 (*.f64 (/.f64 i n) i) (+.f64 (/.f64 100/3 n) -50) (/.f64 (*.f64 i -50) n))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 50/3 (pow.f64 i 2)) (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(+.f64 (fma.f64 i 50 (fma.f64 (*.f64 i i) 50/3 (*.f64 (/.f64 100/3 n) (/.f64 (*.f64 i i) n)))) (*.f64 -50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (/.f64 (*.f64 i -50) n)))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 100/3 (*.f64 n n)))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 50/3 (pow.f64 i 2)) (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(+.f64 (fma.f64 i 50 (fma.f64 (*.f64 i i) 50/3 (*.f64 (/.f64 100/3 n) (/.f64 (*.f64 i i) n)))) (*.f64 -50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (/.f64 (*.f64 i -50) n)))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 100/3 (*.f64 n n)))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 50 i (*.f64 (*.f64 i i) 50/3))
(fma.f64 (*.f64 i i) 50/3 (*.f64 i 50))
(*.f64 i (+.f64 50 (*.f64 i 50/3)))
(-.f64 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (*.f64 (*.f64 i i) 50/3)) (*.f64 50 (+.f64 (/.f64 (*.f64 i i) n) (/.f64 i n))))
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(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100 n) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (fma.f64 100 n (fma.f64 50/3 (*.f64 (*.f64 i i) n) (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 50 (*.f64 i n))))) (*.f64 50 (+.f64 i (*.f64 i i))))
(+.f64 (+.f64 (*.f64 n (+.f64 (fma.f64 (*.f64 i i) 50/3 (*.f64 i 50)) 100)) (*.f64 (/.f64 (*.f64 i i) n) 100/3)) (*.f64 -50 (fma.f64 i i i)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (/.f64 i (/.f64 n i)) 100/3)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (/.f64 i (/.f64 n 100/3)) i)))
(*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n)))))
(*.f64 (*.f64 (*.f64 i i) n) (+.f64 50/3 (-.f64 (/.f64 100/3 (*.f64 n n)) (/.f64 50 n))))
(*.f64 (+.f64 (/.f64 100/3 (*.f64 n n)) (-.f64 50/3 (/.f64 50 n))) (*.f64 (*.f64 i i) n))
(*.f64 i (*.f64 (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n)))) n))
(*.f64 (*.f64 i i) (*.f64 n (+.f64 50/3 (+.f64 (/.f64 100/3 (*.f64 n n)) (/.f64 -50 n)))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (fma.f64 50/3 (*.f64 (*.f64 i i) n) (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 50 (*.f64 i n)))) (*.f64 50 (+.f64 i (*.f64 i i))))
(+.f64 (+.f64 (*.f64 (/.f64 (*.f64 i i) n) 100/3) (*.f64 n (fma.f64 (*.f64 i i) 50/3 (*.f64 i 50)))) (*.f64 -50 (fma.f64 i i i)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (*.f64 i (+.f64 50 (*.f64 i 50/3))) (*.f64 (/.f64 i (/.f64 n i)) 100/3)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (*.f64 i (+.f64 50 (*.f64 i 50/3))) (*.f64 (/.f64 i (/.f64 n 100/3)) i)))
(-.f64 (+.f64 (*.f64 100 n) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (fma.f64 100 n (fma.f64 50/3 (*.f64 (*.f64 i i) n) (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 50 (*.f64 i n))))) (*.f64 50 (+.f64 i (*.f64 i i))))
(+.f64 (+.f64 (*.f64 n (+.f64 (fma.f64 (*.f64 i i) 50/3 (*.f64 i 50)) 100)) (*.f64 (/.f64 (*.f64 i i) n) 100/3)) (*.f64 -50 (fma.f64 i i i)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (/.f64 i (/.f64 n i)) 100/3)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (/.f64 i (/.f64 n 100/3)) i)))
(-.f64 (+.f64 (*.f64 100 n) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (fma.f64 100 n (fma.f64 50/3 (*.f64 (*.f64 i i) n) (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 50 (*.f64 i n))))) (*.f64 50 (+.f64 i (*.f64 i i))))
(+.f64 (+.f64 (*.f64 n (+.f64 (fma.f64 (*.f64 i i) 50/3 (*.f64 i 50)) 100)) (*.f64 (/.f64 (*.f64 i i) n) 100/3)) (*.f64 -50 (fma.f64 i i i)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (/.f64 i (/.f64 n i)) 100/3)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (/.f64 i (/.f64 n 100/3)) i)))
(*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n)))))
(*.f64 (*.f64 (*.f64 i i) n) (+.f64 50/3 (-.f64 (/.f64 100/3 (*.f64 n n)) (/.f64 50 n))))
(*.f64 (+.f64 (/.f64 100/3 (*.f64 n n)) (-.f64 50/3 (/.f64 50 n))) (*.f64 (*.f64 i i) n))
(*.f64 i (*.f64 (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n)))) n))
(*.f64 (*.f64 i i) (*.f64 n (+.f64 50/3 (+.f64 (/.f64 100/3 (*.f64 n n)) (/.f64 -50 n)))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (fma.f64 50/3 (*.f64 (*.f64 i i) n) (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 50 (*.f64 i n)))) (*.f64 50 (+.f64 i (*.f64 i i))))
(+.f64 (+.f64 (*.f64 (/.f64 (*.f64 i i) n) 100/3) (*.f64 n (fma.f64 (*.f64 i i) 50/3 (*.f64 i 50)))) (*.f64 -50 (fma.f64 i i i)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (*.f64 i (+.f64 50 (*.f64 i 50/3))) (*.f64 (/.f64 i (/.f64 n i)) 100/3)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (*.f64 i (+.f64 50 (*.f64 i 50/3))) (*.f64 (/.f64 i (/.f64 n 100/3)) i)))
(-.f64 (+.f64 (*.f64 100 n) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (fma.f64 100 n (fma.f64 50/3 (*.f64 (*.f64 i i) n) (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 50 (*.f64 i n))))) (*.f64 50 (+.f64 i (*.f64 i i))))
(+.f64 (+.f64 (*.f64 n (+.f64 (fma.f64 (*.f64 i i) 50/3 (*.f64 i 50)) 100)) (*.f64 (/.f64 (*.f64 i i) n) 100/3)) (*.f64 -50 (fma.f64 i i i)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (/.f64 i (/.f64 n i)) 100/3)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (/.f64 i (/.f64 n 100/3)) i)))
(-.f64 (+.f64 (*.f64 100 n) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i))))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (fma.f64 100 n (fma.f64 50/3 (*.f64 (*.f64 i i) n) (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 50 (*.f64 i n))))) (*.f64 50 (+.f64 i (*.f64 i i))))
(+.f64 (+.f64 (*.f64 n (+.f64 (fma.f64 (*.f64 i i) 50/3 (*.f64 i 50)) 100)) (*.f64 (/.f64 (*.f64 i i) n) 100/3)) (*.f64 -50 (fma.f64 i i i)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (/.f64 i (/.f64 n i)) 100/3)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (/.f64 i (/.f64 n 100/3)) i)))

prune140.0ms (1.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1262128
Fresh11314
Picked101
Done011
Total12816144
Error
2.5b
Counts
144 → 16
Alt Table
StatusErrorProgram
48.2b
(exp.f64 (log.f64 (*.f64 n (+.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))) 100))))
55.5b
(+.f64 (fma.f64 50 (*.f64 (/.f64 (pow.f64 n 3) i) (pow.f64 (log.f64 i) 2)) (fma.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (log.f64 i)) (fma.f64 100 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 50 (*.f64 (/.f64 (pow.f64 n 3) i) (pow.f64 (log.f64 n) 2)))))) (*.f64 -100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (*.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (*.f64 n n) i) (log.f64 n)))))
44.1b
(/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))
55.1b
(*.f64 (/.f64 (*.f64 n n) i) (*.f64 100 (-.f64 (log.f64 i) (log.f64 n))))
30.7b
(*.f64 100 n)
55.3b
(*.f64 n (/.f64 (-.f64 (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 i) 2)) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 3)) (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 n) 2)) (fma.f64 100 (/.f64 (*.f64 n n) i) (fma.f64 100 (*.f64 n (log.f64 i)) (fma.f64 50 (*.f64 (*.f64 (pow.f64 n 3) (log.f64 i)) (pow.f64 (log.f64 n) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 i)) 100))))))) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 3)) (fma.f64 50 (*.f64 (pow.f64 n 3) (*.f64 (log.f64 n) (pow.f64 (log.f64 i) 2))) (fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 n)) (fma.f64 100 (*.f64 (*.f64 n n) (*.f64 (log.f64 i) (log.f64 n))) (fma.f64 50 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (*.f64 n 100) (log.f64 n)))))))) i))
49.7b
(+.f64 (*.f64 100 (-.f64 (*.f64 (/.f64 n i) (exp.f64 i)) (/.f64 n i))) (*.f64 -50 (*.f64 i (exp.f64 i))))
44.1b
(*.f64 n (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) 3) -1000000) (fma.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) (-.f64 10000 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100)))) i))
47.8b
(/.f64 (fma.f64 (exp.f64 i) 100 -100) (/.f64 i n))
47.7b
(/.f64 (*.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) n) i)
53.0b
(*.f64 -1 (/.f64 (-.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))))) i))
31.6b
(fma.f64 n 100 (*.f64 n (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))
54.2b
(*.f64 n (*.f64 (/.f64 n i) (*.f64 100 (-.f64 (log.f64 i) (log.f64 n)))))
47.7b
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i))
54.2b
(*.f64 n (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 50 (*.f64 n n)) (+.f64 (pow.f64 (log.f64 i) 2) (pow.f64 (log.f64 n) 2))) (*.f64 100 (+.f64 (*.f64 n (log.f64 i)) (/.f64 (*.f64 n n) i)))) (*.f64 -100 (*.f64 (log.f64 n) (+.f64 n (*.f64 (*.f64 n n) (log.f64 i)))))) i))
58.5b
(-.f64 (fma.f64 100/3 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 25/2 (*.f64 (/.f64 (exp.f64 i) n) (pow.f64 i 3)) (/.f64 (*.f64 100 (*.f64 n (exp.f64 i))) i))) (fma.f64 100 (/.f64 n i) (*.f64 50 (*.f64 i (exp.f64 i)))))
Compiler

Compiled 5201 to 2654 computations (49% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 100/3 (pow.f64 (/.f64 i n) 2))
3.2b
(*.f64 n (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))
4.0b
(+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n))
4.8b
(fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))

series13.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
i
@inf
(fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))
1.0ms
i
@0
(fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))
1.0ms
i
@-inf
(fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))
1.0ms
n
@0
(*.f64 100/3 (pow.f64 (/.f64 i n) 2))
1.0ms
i
@0
(*.f64 100/3 (pow.f64 (/.f64 i n) 2))

rewrite54.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
205×add-sqr-sqrt_binary64
195×pow1_binary64
194×*-un-lft-identity_binary64
192×add-log-exp_binary64
192×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019100
141691
Stop Event
node limit
Counts
4 → 115
Calls
Call 1
Inputs
(fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))
(+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n))
(*.f64 n (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))
(*.f64 100/3 (pow.f64 (/.f64 i n) 2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i))) n) (*.f64 (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)))) (*.f64 n (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 n (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 n (fma.f64 -50 (*.f64 (/.f64 i n) (+.f64 1 i)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100/3 (pow.f64 (/.f64 i n) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100/3 (pow.f64 (/.f64 i n) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100/3 (pow.f64 (/.f64 i n) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 i n) (sqrt.f64 100/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000/9 (pow.f64 (/.f64 i n) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100/3) (pow.f64 (/.f64 i n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100/3 (pow.f64 (/.f64 i n) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 100/3 (pow.f64 (/.f64 i n) 2))) 1))))))

simplify56.0ms (0.6%)

Algorithm
egg-herbie
Rules
676×associate-*l*_binary64
436×fma-neg_binary64
435×cancel-sign-sub-inv_binary64
263×fma-def_binary64
172×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0582136
11792047
25151851
317721779
Stop Event
node limit
Counts
211 → 151
Calls
Call 1
Inputs
(*.f64 i (-.f64 50 (*.f64 50 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(-.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 50/3 (pow.f64 i 2)) (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 50/3 (pow.f64 i 2)) (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(-.f64 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(-.f64 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(/.f64 i n)
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(/.f64 (pow.f64 i 2) n)
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(/.f64 (pow.f64 i 2) n)
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(/.f64 (+.f64 i (pow.f64 i 2)) n)
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(-.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(*.f64 n (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 50 (*.f64 n i))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(*.f64 n (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 50 (*.f64 n i))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(*.f64 i (-.f64 (*.f64 50 n) 50))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n)))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n)))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
Outputs
(*.f64 i (-.f64 50 (*.f64 50 (/.f64 1 n))))
(*.f64 i (-.f64 50 (/.f64 50 n)))
(*.f64 i (+.f64 50 (/.f64 -50 n)))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n))))
(*.f64 (*.f64 i i) (+.f64 50/3 (-.f64 (/.f64 100/3 (*.f64 n n)) (/.f64 50 n))))
(*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (-.f64 50/3 (/.f64 50 n)))))
(*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n)))))
(*.f64 i (*.f64 i (-.f64 (/.f64 (/.f64 100/3 n) n) (+.f64 (/.f64 50 n) -50/3))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(*.f64 (pow.f64 i 2) (-.f64 (+.f64 50/3 (*.f64 100/3 (/.f64 1 (pow.f64 n 2)))) (*.f64 50 (/.f64 1 n))))
(*.f64 (*.f64 i i) (+.f64 50/3 (-.f64 (/.f64 100/3 (*.f64 n n)) (/.f64 50 n))))
(*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (-.f64 50/3 (/.f64 50 n)))))
(*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n)))))
(*.f64 i (*.f64 i (-.f64 (/.f64 (/.f64 100/3 n) n) (+.f64 (/.f64 50 n) -50/3))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(-.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(+.f64 (*.f64 (*.f64 (/.f64 i n) i) (-.f64 (/.f64 100/3 n) 50)) (*.f64 i (/.f64 -50 n)))
(fma.f64 (*.f64 i (/.f64 i n)) (+.f64 (/.f64 100/3 n) -50) (*.f64 i (/.f64 -50 n)))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 50/3 (pow.f64 i 2)) (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 50/3 (pow.f64 i 2)) (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 50 i (*.f64 (*.f64 i i) 50/3))
(fma.f64 i 50 (*.f64 i (*.f64 i 50/3)))
(*.f64 i (+.f64 50 (*.f64 i 50/3)))
(-.f64 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (*.f64 (*.f64 i i) 50/3)) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(fma.f64 i 50 (fma.f64 (*.f64 i i) 50/3 (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i))))))
(fma.f64 -50 (+.f64 (/.f64 i n) (*.f64 (/.f64 i n) i)) (*.f64 i (+.f64 50 (*.f64 i 50/3))))
(fma.f64 i (+.f64 50 (*.f64 i 50/3)) (*.f64 (/.f64 -50 n) (fma.f64 i i i)))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 50 i (*.f64 (*.f64 i i) 50/3))
(fma.f64 i 50 (*.f64 i (*.f64 i 50/3)))
(*.f64 i (+.f64 50 (*.f64 i 50/3)))
(-.f64 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (*.f64 (*.f64 i i) 50/3)) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(fma.f64 i 50 (fma.f64 (*.f64 i i) 50/3 (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i))))))
(fma.f64 -50 (+.f64 (/.f64 i n) (*.f64 (/.f64 i n) i)) (*.f64 i (+.f64 50 (*.f64 i 50/3))))
(fma.f64 i (+.f64 50 (*.f64 i 50/3)) (*.f64 (/.f64 -50 n) (fma.f64 i i i)))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(-.f64 (+.f64 (*.f64 50 i) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 50/3 (pow.f64 i 2)))) (+.f64 (*.f64 50 (/.f64 i n)) (*.f64 50 (/.f64 (pow.f64 i 2) n))))
(-.f64 (fma.f64 50 i (fma.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 (*.f64 i i) 50/3))) (*.f64 50 (+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))))
(+.f64 (fma.f64 i 50 (fma.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 i (*.f64 i 50/3)))) (*.f64 -50 (+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))))
(fma.f64 i 50 (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 100/3 (*.f64 n n)) (+.f64 50/3 (/.f64 -50 n))))) (*.f64 i (/.f64 -50 n))))
(fma.f64 i 50 (fma.f64 i (*.f64 i (+.f64 50/3 (/.f64 (/.f64 100/3 n) n))) (*.f64 (/.f64 -50 n) (fma.f64 i i i))))
(/.f64 i n)
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))
(+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))
(+.f64 (/.f64 i n) (*.f64 (/.f64 i n) i))
(+.f64 (/.f64 i n) (*.f64 i (/.f64 i n)))
(+.f64 (/.f64 i n) (/.f64 (pow.f64 i 2) n))
(+.f64 (/.f64 i n) (/.f64 (*.f64 i i) n))
(+.f64 (/.f64 i n) (/.f64 i (/.f64 n i)))
(+.f64 (/.f64 i n) (*.f64 (/.f64 i n) i))
(+.f64 (/.f64 i n) (*.f64 i (/.f64 i n)))
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(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (*.f64 i (+.f64 50 (*.f64 i 50/3))) (*.f64 100/3 (*.f64 (/.f64 i n) i))))
(+.f64 (*.f64 i (+.f64 (*.f64 50 (-.f64 n i)) -50)) (*.f64 (*.f64 i i) (+.f64 (/.f64 100/3 n) (*.f64 n 50/3))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (fma.f64 50/3 (*.f64 n (*.f64 i i)) (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 50 (*.f64 i n)))) (*.f64 50 (+.f64 i (*.f64 i i))))
(+.f64 (+.f64 (*.f64 100/3 (/.f64 i (/.f64 n i))) (*.f64 n (fma.f64 i 50 (*.f64 i (*.f64 i 50/3))))) (*.f64 -50 (fma.f64 i i i)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (*.f64 i (+.f64 50 (*.f64 i 50/3))) (*.f64 100/3 (*.f64 (/.f64 i n) i))))
(+.f64 (*.f64 i (+.f64 (*.f64 50 (-.f64 n i)) -50)) (*.f64 (*.f64 i i) (+.f64 (/.f64 100/3 n) (*.f64 n 50/3))))
(-.f64 (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 100/3 (/.f64 (pow.f64 i 2) n)) (*.f64 50 (*.f64 n i)))) (+.f64 (*.f64 50 i) (*.f64 50 (pow.f64 i 2))))
(-.f64 (fma.f64 50/3 (*.f64 n (*.f64 i i)) (fma.f64 100/3 (/.f64 (*.f64 i i) n) (*.f64 50 (*.f64 i n)))) (*.f64 50 (+.f64 i (*.f64 i i))))
(+.f64 (+.f64 (*.f64 100/3 (/.f64 i (/.f64 n i))) (*.f64 n (fma.f64 i 50 (*.f64 i (*.f64 i 50/3))))) (*.f64 -50 (fma.f64 i i i)))
(fma.f64 -50 (fma.f64 i i i) (fma.f64 n (*.f64 i (+.f64 50 (*.f64 i 50/3))) (*.f64 100/3 (*.f64 (/.f64 i n) i))))
(+.f64 (*.f64 i (+.f64 (*.f64 50 (-.f64 n i)) -50)) (*.f64 (*.f64 i i) (+.f64 (/.f64 100/3 n) (*.f64 n 50/3))))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))
(*.f64 100/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 100/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 100/3 (*.f64 (/.f64 i n) (/.f64 i n)))

prune147.0ms (1.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1510151
Fresh01414
Picked011
Done011
Total15116167
Error
2.5b
Counts
167 → 16
Alt Table
StatusErrorProgram
48.2b
(exp.f64 (log.f64 (*.f64 n (+.f64 (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2))))) 100))))
55.5b
(+.f64 (fma.f64 50 (*.f64 (/.f64 (pow.f64 n 3) i) (pow.f64 (log.f64 i) 2)) (fma.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (log.f64 i)) (fma.f64 100 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 50 (*.f64 (/.f64 (pow.f64 n 3) i) (pow.f64 (log.f64 n) 2)))))) (*.f64 -100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (*.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (*.f64 n n) i) (log.f64 n)))))
44.1b
(/.f64 n (/.f64 i (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))
55.1b
(*.f64 (/.f64 (*.f64 n n) i) (*.f64 100 (-.f64 (log.f64 i) (log.f64 n))))
30.7b
(*.f64 100 n)
55.3b
(*.f64 n (/.f64 (-.f64 (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 i) 2)) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 3)) (fma.f64 50 (*.f64 (*.f64 n n) (pow.f64 (log.f64 n) 2)) (fma.f64 100 (/.f64 (*.f64 n n) i) (fma.f64 100 (*.f64 n (log.f64 i)) (fma.f64 50 (*.f64 (*.f64 (pow.f64 n 3) (log.f64 i)) (pow.f64 (log.f64 n) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 i)) 100))))))) (fma.f64 50/3 (*.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 3)) (fma.f64 50 (*.f64 (pow.f64 n 3) (*.f64 (log.f64 n) (pow.f64 (log.f64 i) 2))) (fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (log.f64 n)) (fma.f64 100 (*.f64 (*.f64 n n) (*.f64 (log.f64 i) (log.f64 n))) (fma.f64 50 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (*.f64 n 100) (log.f64 n)))))))) i))
49.7b
(+.f64 (*.f64 100 (-.f64 (*.f64 (/.f64 n i) (exp.f64 i)) (/.f64 n i))) (*.f64 -50 (*.f64 i (exp.f64 i))))
44.1b
(*.f64 n (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) 3) -1000000) (fma.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) (-.f64 10000 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100)))) i))
47.8b
(/.f64 (fma.f64 (exp.f64 i) 100 -100) (/.f64 i n))
47.7b
(/.f64 (*.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) n) i)
53.0b
(*.f64 -1 (/.f64 (-.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 (/.f64 1 n))) (log.f64 (/.f64 -1 i))) n))))) i))
31.6b
(fma.f64 n 100 (*.f64 n (fma.f64 -50 (+.f64 (/.f64 i (/.f64 n i)) (/.f64 i n)) (fma.f64 50 i (fma.f64 50/3 (*.f64 i i) (*.f64 100/3 (pow.f64 (/.f64 i n) 2)))))))
54.2b
(*.f64 n (*.f64 (/.f64 n i) (*.f64 100 (-.f64 (log.f64 i) (log.f64 n)))))
47.7b
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i))
54.2b
(*.f64 n (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 50 (*.f64 n n)) (+.f64 (pow.f64 (log.f64 i) 2) (pow.f64 (log.f64 n) 2))) (*.f64 100 (+.f64 (*.f64 n (log.f64 i)) (/.f64 (*.f64 n n) i)))) (*.f64 -100 (*.f64 (log.f64 n) (+.f64 n (*.f64 (*.f64 n n) (log.f64 i)))))) i))
58.5b
(-.f64 (fma.f64 100/3 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 25/2 (*.f64 (/.f64 (exp.f64 i) n) (pow.f64 i 3)) (/.f64 (*.f64 100 (*.f64 n (exp.f64 i))) i))) (fma.f64 100 (/.f64 n i) (*.f64 50 (*.f64 i (exp.f64 i)))))
Compiler

Compiled 5618 to 3067 computations (45.4% saved)

regimes895.0ms (8.8%)

Accuracy

Total 9.0b remaining (75.2%)

Threshold costs 0b (0%)

Counts
127 → 3
Compiler

Compiled 3356 to 1884 computations (43.9% saved)

bsearch151.0ms (1.5%)

Algorithm
binary-search
Calls

2 calls:

79.0ms
i
69.0ms
i
Steps
ItersPointRange
2.7e-8
∈ [
4.941066273327125e-11
,
1.3010522078494585e-6
]
-8.5e-22
∈ [
-8.840889126750532e-22
,
-6.596375060768123e-24
]
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
10×*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053155
165155
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 i -2259687592834357/2658455991569831745807614120560689152) (/.f64 (fma.f64 (exp.f64 i) 100 -100) (/.f64 i n)) (if (<=.f64 i 8160249282398747/302231454903657293676544) (fma.f64 -50 (fma.f64 i i i) (fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (/.f64 i (/.f64 n 100/3)) i))) (*.f64 n (+.f64 (fma.f64 100 (*.f64 (/.f64 n i) (log.f64 i)) (fma.f64 50 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (log.f64 i) 2))) (fma.f64 100 (*.f64 (/.f64 n i) (/.f64 n i)) (*.f64 50 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (log.f64 n) 2)))))) (*.f64 -100 (+.f64 (*.f64 (/.f64 (*.f64 n n) i) (*.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 n i) (log.f64 n))))))))
Outputs
(if (<=.f64 i -2259687592834357/2658455991569831745807614120560689152) (/.f64 (fma.f64 (exp.f64 i) 100 -100) (/.f64 i n)) (if (<=.f64 i 8160249282398747/302231454903657293676544) (fma.f64 -50 (fma.f64 i i i) (fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 (/.f64 i (/.f64 n 100/3)) i))) (*.f64 n (+.f64 (fma.f64 100 (*.f64 (/.f64 n i) (log.f64 i)) (fma.f64 50 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (log.f64 i) 2))) (fma.f64 100 (*.f64 (/.f64 n i) (/.f64 n i)) (*.f64 50 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (log.f64 n) 2)))))) (*.f64 -100 (+.f64 (*.f64 (/.f64 (*.f64 n n) i) (*.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 n i) (log.f64 n))))))))
(if (<=.f64 i -2259687592834357/2658455991569831745807614120560689152) (/.f64 (fma.f64 (exp.f64 i) 100 -100) (/.f64 i n)) (if (<=.f64 i 8160249282398747/302231454903657293676544) (fma.f64 -50 (fma.f64 i i i) (fma.f64 n (fma.f64 i 50 (fma.f64 i (*.f64 i 50/3) 100)) (*.f64 i (/.f64 i (/.f64 n 100/3))))) (*.f64 n (+.f64 (fma.f64 100 (*.f64 (/.f64 n i) (log.f64 i)) (fma.f64 50 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (log.f64 i) 2))) (fma.f64 100 (*.f64 (/.f64 n i) (/.f64 n i)) (*.f64 50 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (log.f64 n) 2)))))) (*.f64 -100 (+.f64 (*.f64 (/.f64 (*.f64 n n) i) (*.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 n i) (log.f64 n))))))))

end303.0ms (3%)

Stop Event
fuel
Compiler

Compiled 757 to 459 computations (39.4% saved)

Profiling

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