Details

Time bar (total: 25.2s)

analyze341.0ms (1.4%)

Algorithm
1×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
Compiler

Compiled 18 to 12 computations (33.3% saved)

sample6.6s (26.2%)

Results
2.8s1802×body2048valid
2.1s2651×body1024valid
547.0ms2526×body256valid
396.0ms1248×body512valid
237.0ms187×body1024invalid
234.0ms1246×body256invalid
108.0ms252×body512invalid
67.0ms29×body4096valid
28.0ms22×body2048invalid

preprocess51.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
530×times-frac_binary64
476×associate-*l*_binary64
458×associate-*r*_binary64
360×associate-/l*_binary64
342×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01744
14844
212340
332940
4105740
5589040
022
Stop Event
1×saturated
1×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 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(*.f64 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 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100) (/.f64 n i))
(*.f64 i (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100) n))
(*.f64 (/.f64 i n) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify47.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
701×fma-def_binary64
561×associate-/r/_binary64
483×associate-/r*_binary64
476×associate-*l/_binary64
408×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01122
12922
26820
317220
453120
5239320
6726320
Stop Event
1×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 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))

eval1.0ms (0%)

Compiler

Compiled 31 to 19 computations (38.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
46.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶46.5b
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
▶46.3b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Compiler

Compiled 33 to 22 computations (33.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
✓0.9b
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
✓8.1b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓8.4b
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 58 to 29 computations (50% saved)

series32.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
i
@inf
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
4.0ms
n
@0
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
3.0ms
i
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
3.0ms
i
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
2.0ms
n
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))

rewrite250.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
722×prod-diff_binary64
659×log-prod_binary64
267×fma-def_binary64
250×egg-rr
221×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01164
125758
2376958
Stop Event
1×node limit
Counts
4 → 345
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
(pow.f64 (+.f64 1 (/.f64 i n)) n)
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Outputs
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simplify179.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
779×associate-/l*_binary64
588×associate-/r*_binary64
399×fma-def_binary64
263×+-commutative_binary64
239×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03655519
112215121
244624705
Stop Event
1×node limit
Counts
441 → 508
Calls
Call 1
Inputs
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
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1
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1
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i
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2)) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) 1)
(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(+.f64 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(-.f64 (exp.f64 i) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3)) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)))) 1)
(-.f64 (exp.f64 i) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (exp.f64 i) (*.f64 -1 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (pow.f64 n 3)))))) 1)
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
Outputs
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)
(fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 n (*.f64 n (+.f64 (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))) (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(fma.f64 n (fma.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))) n)
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(+.f64 n (fma.f64 n (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))) (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))))))))
(+.f64 n (*.f64 n (+.f64 (fma.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 11/24 (*.f64 n n)) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3))))))))
(+.f64 n (*.f64 n (+.f64 (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (+.f64 (/.f64 11/24 (*.f64 n n)) (/.f64 -1/4 n)) (/.f64 1/4 (pow.f64 n 3))))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))
(*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(*.f64 (/.f64 n i) (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1))
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
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i
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(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (fma.f64 -100 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))))) (*.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) 100))))
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (pow.f64 n 3) i)) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))))) (/.f64 (*.f64 n -100) (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))))))
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) i) (+.f64 (/.f64 (pow.f64 n 3) i) (/.f64 n (*.f64 (/.f64 i (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2))) i)))))) (*.f64 (/.f64 -100 (pow.f64 i 4)) (*.f64 (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6))) (*.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))))))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(*.f64 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) 100)
(*.f64 (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))) 100)
(*.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) 100)
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(*.f64 100 (fma.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))))
(*.f64 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))) 100)
(*.f64 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))) 100)
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))
(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i) (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 1/2 (pow.f64 i 3)))))))
(*.f64 100 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (fma.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))))))
(*.f64 100 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (fma.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3)))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))))
(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (fma.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i) (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 1/2 (pow.f64 i 3)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) i) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4))))))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))))))
(+.f64 (*.f64 100 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (fma.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))))) (*.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4)))))) (*.f64 (pow.f64 n 5) 100)))
(*.f64 100 (+.f64 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (+.f64 (/.f64 1/3 (pow.f64 i 4)) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (/.f64 1/2 (pow.f64 i 3)))))) (*.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3))))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i))
(fma.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100 (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i))))))
(fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (exp.f64 i) i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i)))))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (+.f64 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (*.f64 n n))))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (*.f64 n n)) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n))) (*.f64 (/.f64 n i) (expm1.f64 i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i))
(fma.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100 (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i))))))
(fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 -100 (/.f64 (exp.f64 i) (/.f64 (*.f64 i (*.f64 n n)) (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))))) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i)))))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (/.f64 -100 i) (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) n)))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (*.f64 (/.f64 (exp.f64 i) (*.f64 n (*.f64 n i))) (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/4 (pow.f64 i 4) (*.f64 1/6 (pow.f64 i 5))))) -100)))

localize36.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.9b
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
8.1b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓10.4b
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
Compiler

Compiled 49 to 25 computations (49% saved)

series56.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
41.0ms
n
@0
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
2.0ms
i
@-inf
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
2.0ms
i
@inf
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
1.0ms
n
@0
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
1.0ms
i
@-inf
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)

rewrite101.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
574×log-prod_binary64
320×pow2_binary64
316×prod-diff_binary64
244×fma-def_binary64
238×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
125934
2328534
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n i)) (*.f64 -100 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (cbrt.f64 (*.f64 i i))) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (neg.f64 n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 n i) 3) (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3) (pow.f64 (/.f64 n i) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 n i) 3) (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3) (pow.f64 (/.f64 n i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (/.f64 n i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n i) (*.f64 -100 (/.f64 n i)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -100 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1) -100)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2) (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 3) -1000000) (+.f64 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) (-.f64 10000 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) 10000) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 1))))))

simplify147.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
784×associate-/l*_binary64
584×associate-/r*_binary64
370×fma-def_binary64
331×associate-*l/_binary64
298×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03043043
110412849
239712649
Stop Event
1×node limit
Counts
111 → 146
Calls
Call 1
Inputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))))))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)))))) 100)
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))))) 100)
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
Outputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (fma.f64 -1 (log.f64 n) (log.f64 i)))) i)
(*.f64 100 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i))
(*.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))))))
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i)))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(fma.f64 100 (/.f64 (pow.f64 n 5) (/.f64 i (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i) (fma.f64 1/24 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i)))))))) (fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))))
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(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))))) 100)
(+.f64 (fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 -100 (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (/.f64 (pow.f64 i 3) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))))) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))))) -100)
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (fma.f64 100 (+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (*.f64 (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 -100 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (pow.f64 i 3)) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))))))))
(+.f64 -100 (+.f64 (*.f64 100 (+.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (*.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (+.f64 (/.f64 n (/.f64 i n)) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (*.f64 i i)))))) (*.f64 (/.f64 -100 (pow.f64 i 3)) (*.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))))))
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(*.f64 100 (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i))))
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(*.f64 100 (+.f64 (*.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i))) (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))))
(*.f64 100 (fma.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(*.f64 100 (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) n))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(fma.f64 100 (*.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i)))) (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i))))))
(*.f64 100 (+.f64 (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (fma.f64 (pow.f64 n 3) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))) (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(*.f64 100 (+.f64 (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) n))) (*.f64 (pow.f64 n 3) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))))
(fma.f64 100 (*.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i))) (fma.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i) (fma.f64 1/24 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i)))) (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))))))
(fma.f64 100 (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (*.f64 100 (+.f64 (fma.f64 (pow.f64 n 3) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (pow.f64 n 4) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (pow.f64 n 4) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 (pow.f64 n 3) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))) (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) n)))))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(+.f64 (*.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i)))) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (exp.f64 i)))) -100)
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100)))
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 -1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) -1/4))) (/.f64 (pow.f64 n 3) (exp.f64 i))) (exp.f64 i))))) -100)
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 100 (+.f64 (exp.f64 i) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (/.f64 (pow.f64 n 3) (exp.f64 i)))) (*.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i))))))
(+.f64 (fma.f64 100 (*.f64 (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (pow.f64 n 3)) 1) (exp.f64 i)) (*.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) -100))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(+.f64 (*.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i)))) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (exp.f64 i)))) -100)
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100)))
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (fma.f64 -100 (/.f64 (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (/.f64 (pow.f64 n 3) (exp.f64 i))) (*.f64 100 (exp.f64 i))))) -100)
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) (*.f64 -100 (/.f64 (exp.f64 i) (/.f64 (pow.f64 n 3) (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))))))))))
(+.f64 (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (/.f64 (/.f64 (pow.f64 n 3) (exp.f64 i)) -100)))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) -100))

eval504.0ms (2%)

Compiler

Compiled 29258 to 15410 computations (47.3% saved)

prune143.0ms (0.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New69721718
Fresh000
Picked101
Done101
Total69921720
Error
0b
Counts
720 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
17.6b
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
16.2b
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
▶32.0b
(*.f64 n 100)
49.5b
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
29.0b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
52.8b
(*.f64 100 (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
▶15.5b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
▶46.3b
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
22.7b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
36.0b
(*.f64 (/.f64 n i) (*.f64 100 i))
47.2b
(*.f64 100 (/.f64 (exp.f64 (log.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (/.f64 i n)))
46.5b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
59.4b
(*.f64 100 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
27.6b
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
34.2b
(*.f64 100 (/.f64 i (/.f64 i n)))
33.1b
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
▶44.7b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
35.3b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
17.6b
(+.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)))
▶33.1b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
51.1b
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
Compiler

Compiled 706 to 498 computations (29.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)
✓7.3b
(log1p.f64 (/.f64 i n))
✓8.8b
(*.f64 n (log1p.f64 (/.f64 i n)))
✓8.9b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
Compiler

Compiled 47 to 12 computations (74.5% saved)

series21.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
7.0ms
n
@0
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)
3.0ms
i
@-inf
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
1.0ms
n
@0
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
1.0ms
i
@inf
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
1.0ms
n
@-inf
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))

rewrite84.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
604×log-prod_binary64
334×pow-prod-down_binary64
271×pow2_binary64
216×pow-unpow_binary64
215×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01049
121249
2290549
Stop Event
1×node limit
Counts
4 → 135
Calls
Call 1
Inputs
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(*.f64 n (log1p.f64 (/.f64 i n)))
(log1p.f64 (/.f64 i n))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (log1p.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n)) 2)) (log.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 i n) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 i n) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 i n) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 i n) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (/.f64 i n) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 i n) 2) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 i n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 i n) 2))) (log.f64 (-.f64 1 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 i n))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 i n))) 2) (cbrt.f64 (log1p.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 i n))) (sqrt.f64 (log1p.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 i n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 i n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 i n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 i n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 i n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 i n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 i n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 i n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 i n)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 i n)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 i n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 i n))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10000 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 1) 1))))))

simplify108.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
746×associate-/r*_binary64
516×associate-*l/_binary64
509×fma-def_binary64
283×associate-/r/_binary64
262×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03704211
112493933
249633738
Stop Event
1×node limit
Counts
231 → 271
Calls
Call 1
Inputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
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(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))
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i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
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i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
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i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
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(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))
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(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))
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(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
(/.f64 i n)
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(+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))
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(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (/.f64 n i) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 i)))))))
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(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (+.f64 (log.f64 (neg.f64 (/.f64 1 n))) (/.f64 n i))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (+.f64 (log.f64 (neg.f64 (/.f64 1 n))) (/.f64 n i)))))
(+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))
(+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (/.f64 n i) (log.f64 i)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (/.f64 n i) (log.f64 i))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (/.f64 n i) (log.f64 i)))))
(/.f64 i n)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (/.f64 i n))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n))))
(/.f64 i n)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (/.f64 i n))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n))))
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3))) (+.f64 (*.f64 100 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))) (pow.f64 n 4))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (-.f64 (exp.f64 i) 1)))))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (-.f64 (exp.f64 i) 1)) (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (pow.f64 n 3))))))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))
(+.f64 (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))
(+.f64 (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))))
(+.f64 (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3))))))
(*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)))))
Outputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))))
(*.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))
(*.f64 100 (*.f64 (*.f64 (/.f64 n i) n) (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))))
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(fma.f64 100 (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (fma.f64 100 (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (*.f64 i i) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))))) (*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (pow.f64 i 3) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 4) 1/3)))))))))
(fma.f64 100 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (pow.f64 i 3)) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 (pow.f64 n 4) 1/3 (*.f64 (pow.f64 n 5) -1/2))))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 i i)) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))))))
(*.f64 100 (+.f64 (+.f64 (/.f64 (*.f64 n n) (/.f64 (/.f64 i (pow.f64 i n)) (pow.f64 n (neg.f64 n)))) (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (pow.f64 i 3)) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 (pow.f64 n 4) 1/3 (*.f64 (pow.f64 n 5) -1/2))))) (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) (*.f64 (/.f64 (/.f64 i (pow.f64 i n)) (pow.f64 n (neg.f64 n))) i)))))
(*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))
(*.f64 100 (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))
(*.f64 100 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))
(*.f64 100 (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)))
(*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))))
(*.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 n (/.f64 i n)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))
(*.f64 100 (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 n i) n) 1) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) -1))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))))
(fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i)))))
(*.f64 100 (+.f64 (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1) (*.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (+.f64 (*.f64 (/.f64 n i) n) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) (*.f64 i i))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)))))
(fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 -100 (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (/.f64 (pow.f64 i 3) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))))) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))))))
(fma.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (fma.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i))) (*.f64 -100 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (/.f64 (pow.f64 i 3) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))))))))
(+.f64 (*.f64 100 (+.f64 (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1) (*.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (+.f64 (*.f64 (/.f64 n i) n) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) (*.f64 i i)))))) (*.f64 -100 (/.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (/.f64 (pow.f64 i 3) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))))))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
✓0.0b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
✓0.1b
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
✓7.1b
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
Compiler

Compiled 70 to 52 computations (25.7% saved)

series12.0ms (0%)

Counts
4 → 63
Calls

24 calls:

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

rewrite89.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
710×log-prod_binary64
394×fma-def_binary64
366×pow2_binary64
253×pow1/3_binary64
252×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01358
129654
2399354
Stop Event
1×node limit
Counts
4 → 172
Calls
Call 1
Inputs
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 (/.f64 -1/2 n) (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n i) 1/2) (*.f64 (*.f64 n i) (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 n i)) (+.f64 1/2 (/.f64 -1/2 n)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 n i)) (+.f64 1/2 (/.f64 -1/2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 n i)) (+.f64 1/2 (/.f64 -1/2 n))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 n i)) (+.f64 1/2 (/.f64 -1/2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n i) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (+.f64 1/4 (fma.f64 (pow.f64 n -2) 1/4 (/.f64 1/4 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n i) (-.f64 1/4 (*.f64 (pow.f64 n -2) 1/4))) (+.f64 1/2 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 n i)) (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 n i) (*.f64 (/.f64 -1/2 n) (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n i) 1/2 (*.f64 (*.f64 n i) (/.f64 -1/2 n)))))))
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n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) n)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i) n)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n n)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 1 n)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2) (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n) (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (*.f64 (cbrt.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n) n)))) (#(struct:change 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egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 n i) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 n)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 n))) n)))))

simplify74.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
628×times-frac_binary64
543×fma-def_binary64
454×associate-/l*_binary64
356×associate-*l*_binary64
322×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040776
1104703
2265663
3825625
42744577
57939577
Stop Event
1×node limit
Counts
235 → 204
Calls
Call 1
Inputs
(*.f64 -1/2 i)
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 1/2 (*.f64 n i))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 1/2 (*.f64 n i))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 -1/2 (/.f64 i n))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 1/2 i)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 1/2 i)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 -50 i)
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1)))
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i))
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i))
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 -1/2 i)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(*.f64 (+.f64 1 (*.f64 1/2 i)) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -1/2 i) 1)))
(+.f64 (*.f64 -1/2 i) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))))
(+.f64 (*.f64 -1/2 i) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))))
(+.f64 (*.f64 -1/2 i) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))))
n
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
Outputs
(*.f64 -1/2 i)
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(*.f64 1/2 (*.f64 n i))
(*.f64 1/2 (*.f64 i n))
(*.f64 i (*.f64 1/2 n))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(*.f64 1/2 (*.f64 n i))
(*.f64 1/2 (*.f64 i n))
(*.f64 i (*.f64 1/2 n))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(*.f64 -1/2 (/.f64 i n))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 i)
(*.f64 i 1/2)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 i)
(*.f64 i 1/2)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 -50 i)
(*.f64 i -50)
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i))))
(*.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)))
(*.f64 n (*.f64 (fma.f64 i 1/2 1) 100))
(*.f64 n (*.f64 100 (fma.f64 i 1/2 1)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1)))
(*.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)))
(*.f64 n (*.f64 (fma.f64 i 1/2 1) 100))
(*.f64 n (*.f64 100 (fma.f64 i 1/2 1)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(*.f64 100 n)
(*.f64 n 100)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
(*.f64 i (*.f64 n (*.f64 100 (+.f64 1/2 (/.f64 -1/2 n)))))
(*.f64 i (*.f64 n (+.f64 50 (*.f64 100 (/.f64 -1/2 n)))))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
(*.f64 i (*.f64 n (*.f64 100 (+.f64 1/2 (/.f64 -1/2 n)))))
(*.f64 i (*.f64 n (+.f64 50 (*.f64 100 (/.f64 -1/2 n)))))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 n 100 (*.f64 i (+.f64 -50 (*.f64 n 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(*.f64 -1/2 i)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 (*.f64 i 1/2) 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 n (fma.f64 i 1/2 1)))
(+.f64 n (*.f64 i (fma.f64 1/2 n -1/2)))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 (*.f64 i 1/2) 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 n (fma.f64 i 1/2 1)))
(+.f64 n (*.f64 i (fma.f64 1/2 n -1/2)))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 (*.f64 i 1/2) 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 n (fma.f64 i 1/2 1)))
(+.f64 n (*.f64 i (fma.f64 1/2 n -1/2)))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(*.f64 (+.f64 1 (*.f64 1/2 i)) n)
(*.f64 n (+.f64 (*.f64 i 1/2) 1))
(*.f64 n (fma.f64 i 1/2 1))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 (*.f64 i 1/2) 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 n (fma.f64 i 1/2 1)))
(+.f64 n (*.f64 i (fma.f64 1/2 n -1/2)))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 (*.f64 i 1/2) 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 n (fma.f64 i 1/2 1)))
(+.f64 n (*.f64 i (fma.f64 1/2 n -1/2)))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 (*.f64 i 1/2) 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 n (fma.f64 i 1/2 1)))
(+.f64 n (*.f64 i (fma.f64 1/2 n -1/2)))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -1/2 i) 1)))
(*.f64 n (+.f64 (*.f64 i 1/2) 1))
(*.f64 n (fma.f64 i 1/2 1))
(+.f64 (*.f64 -1/2 i) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))))
(fma.f64 (+.f64 (*.f64 i 1/2) 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 n (fma.f64 i 1/2 1)))
(+.f64 n (*.f64 i (fma.f64 1/2 n -1/2)))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 (*.f64 -1/2 i) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))))
(fma.f64 (+.f64 (*.f64 i 1/2) 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 n (fma.f64 i 1/2 1)))
(+.f64 n (*.f64 i (fma.f64 1/2 n -1/2)))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 (*.f64 -1/2 i) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))))
(fma.f64 (+.f64 (*.f64 i 1/2) 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 n (fma.f64 i 1/2 1)))
(+.f64 n (*.f64 i (fma.f64 1/2 n -1/2)))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
n
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 100 (exp.f64 i))
✓0.0b
(*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100))
✓0.2b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
✓2.4b
(-.f64 (*.f64 100 (exp.f64 i)) 100)
Compiler

Compiled 35 to 21 computations (40% saved)

series27.0ms (0.1%)

Counts
4 → 16
Calls

18 calls:

TimeVariablePointExpression
19.0ms
n
@0
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
1.0ms
i
@-inf
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
1.0ms
i
@inf
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
1.0ms
n
@inf
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
1.0ms
i
@-inf
(-.f64 (*.f64 100 (exp.f64 i)) 100)

rewrite79.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
516×log-prod_binary64
395×exp-prod_binary64
313×pow-prod-down_binary64
259×pow2_binary64
182×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
119836
2268536
Stop Event
1×node limit
Counts
4 → 170
Calls
Call 1
Inputs
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100))
(*.f64 100 (exp.f64 i))
Outputs
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(log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 (fma.f64 100 (exp.f64 i) -100) n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 n) 1) (log.f64 (/.f64 i (fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n)) 1) (log.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n)) (*.f64 (log.f64 i) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n)) 1) (*.f64 (log.f64 i) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 100 (exp.f64 i) -100) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 100 (exp.f64 i)) n) (*.f64 -100 n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 100 (exp.f64 i))) (*.f64 n -100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) n)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) n))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1000000 (pow.f64 (exp.f64 i) 3) -1000000) n) (fma.f64 10000 (pow.f64 (exp.f64 i) 2) (fma.f64 (exp.f64 i) 10000 10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 10000 (pow.f64 (exp.f64 i) 2) -10000) n) (fma.f64 100 (exp.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (fma.f64 1000000 (pow.f64 (exp.f64 i) 3) -1000000)) (fma.f64 10000 (pow.f64 (exp.f64 i) 2) (fma.f64 (exp.f64 i) 10000 10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (fma.f64 10000 (pow.f64 (exp.f64 i) 2) -10000)) (fma.f64 100 (exp.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n))) 2)) (cbrt.f64 (log.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n)))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (exp.f64 i)) n (*.f64 -100 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n (*.f64 100 (exp.f64 i)) (*.f64 n -100))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 100 (exp.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (exp.f64 i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (exp.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (exp.f64 i)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (exp.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 100 (exp.f64 i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (exp.f64 i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10000 (pow.f64 (exp.f64 i) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (exp.f64 i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 (exp.f64 i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1000000 (pow.f64 (exp.f64 i) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 i (log1p.f64 99)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 i (log1p.f64 99))) 2)) (cbrt.f64 (+.f64 i (log1p.f64 99))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 i (log1p.f64 99)))) (sqrt.f64 (+.f64 i (log1p.f64 99))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (pow.f64 (exp.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (exp.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (exp.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1000000 (pow.f64 (exp.f64 i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (exp.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (exp.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 i (log1p.f64 99)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 i (log1p.f64 99)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (+.f64 i (log1p.f64 99))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (+.f64 i (log1p.f64 99))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (*.f64 3 i) (log.f64 1000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 i (log1p.f64 99)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 i (log1p.f64 99)) 3) 1/3))))))

simplify142.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
907×unswap-sqr_binary64
817×*-commutative_binary64
539×associate-*l*_binary64
502×distribute-rgt-out_binary64
424×sqr-pow_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051254
1152252
2402231
31239210
42996210
53883210
64408210
74525210
84664210
94840210
105456210
117199210
127586210
Stop Event
1×node limit
Counts
186 → 199
Calls
Call 1
Inputs
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 50 (pow.f64 i 2)))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (*.f64 50 (pow.f64 i 2))))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (+.f64 (*.f64 50 (pow.f64 i 2)) (*.f64 25/6 (pow.f64 i 4)))))
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(*.f64 100 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n (pow.f64 i 2))) (*.f64 100 (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 3))) (*.f64 100 (*.f64 n i))))
(+.f64 (*.f64 50 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 4))) (*.f64 100 (*.f64 n i)))))
100
(+.f64 (*.f64 100 i) 100)
(+.f64 (*.f64 100 i) (+.f64 100 (*.f64 50 (pow.f64 i 2))))
(+.f64 (*.f64 100 i) (+.f64 100 (+.f64 (*.f64 50/3 (pow.f64 i 3)) (*.f64 50 (pow.f64 i 2)))))
Outputs
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 50 (pow.f64 i 2)))
(fma.f64 100 i (*.f64 50 (*.f64 i i)))
(*.f64 i (+.f64 100 (*.f64 i 50)))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (*.f64 50 (pow.f64 i 2))))
(fma.f64 100 i (fma.f64 50/3 (pow.f64 i 3) (*.f64 50 (*.f64 i i))))
(fma.f64 100 i (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i 50/3))))
(*.f64 i (+.f64 (*.f64 i (+.f64 50 (*.f64 i 50/3))) 100))
(*.f64 i (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (+.f64 (*.f64 50 (pow.f64 i 2)) (*.f64 25/6 (pow.f64 i 4)))))
(fma.f64 100 i (fma.f64 50/3 (pow.f64 i 3) (fma.f64 50 (*.f64 i i) (*.f64 25/6 (pow.f64 i 4)))))
(fma.f64 100 i (fma.f64 25/6 (pow.f64 i 4) (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i 50/3)))))
(fma.f64 100 i (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i (+.f64 (*.f64 i 25/6) 50/3)))))
(fma.f64 100 i (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 i n) (*.f64 100 n))
(fma.f64 100 n (*.f64 50 (*.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 i n) (fma.f64 50/3 (*.f64 (*.f64 i i) n) (*.f64 100 n)))
(fma.f64 50 (*.f64 i n) (fma.f64 100 n (*.f64 (*.f64 50/3 (*.f64 i i)) n)))
(fma.f64 (*.f64 i i) (*.f64 50/3 n) (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 n (+.f64 (*.f64 i (+.f64 50 (*.f64 i 50/3))) 100))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(fma.f64 50 (*.f64 i n) (fma.f64 25/6 (*.f64 (pow.f64 i 3) n) (fma.f64 50/3 (*.f64 (*.f64 i i) n) (*.f64 100 n))))
(fma.f64 50 (*.f64 i n) (fma.f64 25/6 (*.f64 (pow.f64 i 3) n) (fma.f64 100 n (*.f64 (*.f64 50/3 (*.f64 i i)) n))))
(fma.f64 (pow.f64 i 3) (*.f64 25/6 n) (fma.f64 (*.f64 i i) (*.f64 50/3 n) (*.f64 n (+.f64 100 (*.f64 i 50)))))
(*.f64 n (+.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i 25/6) 50/3))) (+.f64 100 (*.f64 i 50))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6)))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 i (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(+.f64 (*.f64 50 (*.f64 n (pow.f64 i 2))) (*.f64 100 (*.f64 n i)))
(fma.f64 50 (*.f64 (*.f64 i i) n) (*.f64 100 (*.f64 i n)))
(fma.f64 100 (*.f64 i n) (*.f64 50 (*.f64 i (*.f64 i n))))
(*.f64 i (*.f64 n (+.f64 100 (*.f64 i 50))))
(+.f64 (*.f64 50 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 3))) (*.f64 100 (*.f64 n i))))
(fma.f64 50 (*.f64 (*.f64 i i) n) (fma.f64 50/3 (*.f64 (pow.f64 i 3) n) (*.f64 100 (*.f64 i n))))
(fma.f64 50 (*.f64 i (*.f64 i n)) (fma.f64 (*.f64 50/3 n) (pow.f64 i 3) (*.f64 100 (*.f64 i n))))
(fma.f64 100 (*.f64 i n) (*.f64 n (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i 50/3)))))
(*.f64 i (*.f64 n (+.f64 (*.f64 i (+.f64 50 (*.f64 i 50/3))) 100)))
(*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))))
(*.f64 (*.f64 i (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) n)
(+.f64 (*.f64 50 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 4))) (*.f64 100 (*.f64 n i)))))
(fma.f64 50 (*.f64 (*.f64 i i) n) (fma.f64 50/3 (*.f64 (pow.f64 i 3) n) (fma.f64 25/6 (*.f64 (pow.f64 i 4) n) (*.f64 100 (*.f64 i n)))))
(fma.f64 50 (*.f64 i (*.f64 i n)) (fma.f64 50/3 (*.f64 (pow.f64 i 3) n) (fma.f64 25/6 (*.f64 (pow.f64 i 4) n) (*.f64 100 (*.f64 i n)))))
(+.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i 50)))) (*.f64 n (fma.f64 50/3 (pow.f64 i 3) (*.f64 25/6 (pow.f64 i 4)))))
(*.f64 n (fma.f64 100 i (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i (+.f64 (*.f64 i 25/6) 50/3))))))
(*.f64 n (fma.f64 100 i (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))))
(*.f64 (fma.f64 100 i (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
100
(+.f64 (*.f64 100 i) 100)
(fma.f64 100 i 100)
(+.f64 (*.f64 100 i) (+.f64 100 (*.f64 50 (pow.f64 i 2))))
(+.f64 (fma.f64 100 i 100) (*.f64 50 (*.f64 i i)))
(fma.f64 100 i (fma.f64 50 (*.f64 i i) 100))
(fma.f64 100 i (fma.f64 i (*.f64 i 50) 100))
(fma.f64 i (*.f64 i 50) (fma.f64 100 i 100))
(+.f64 (*.f64 100 i) (+.f64 100 (+.f64 (*.f64 50/3 (pow.f64 i 3)) (*.f64 50 (pow.f64 i 2)))))
(+.f64 (fma.f64 100 i 100) (fma.f64 50/3 (pow.f64 i 3) (*.f64 50 (*.f64 i i))))
(+.f64 (fma.f64 50/3 (pow.f64 i 3) (*.f64 50 (*.f64 i i))) (fma.f64 100 i 100))
(fma.f64 100 i (fma.f64 i (*.f64 i 50) (fma.f64 50/3 (pow.f64 i 3) 100)))
(fma.f64 100 i (fma.f64 50/3 (pow.f64 i 3) (fma.f64 i (*.f64 i 50) 100)))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.9b
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
8.1b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓8.4b
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
Compiler

Compiled 46 to 24 computations (47.8% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite62.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
564×log-prod_binary64
328×prod-diff_binary64
305×pow2_binary64
215×pow-unpow_binary64
209×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
124320
2322520
Stop Event
1×node limit
Counts
1 → 49
Calls
Call 1
Inputs
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
Outputs
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(pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3) (pow.f64 (/.f64 i n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 n i))) 1))))))

simplify53.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
779×times-frac_binary64
678×distribute-rgt-in_binary64
676×distribute-lft-in_binary64
572×associate-/l*_binary64
445×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02221592
17161501
225821419
Stop Event
1×node limit
Counts
73 → 91
Calls
Call 1
Inputs
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))))))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
Outputs
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n))
(*.f64 100 (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(fma.f64 100 (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
(*.f64 100 (+.f64 (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n) (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(fma.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (/.f64 11/24 (*.f64 n n))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (pow.f64 i 3))) (fma.f64 100 (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n))))
(+.f64 (*.f64 100 (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)) (*.f64 (*.f64 100 n) (+.f64 (*.f64 (+.f64 1/24 (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))) (pow.f64 i 3)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))
(*.f64 100 (+.f64 (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n) (*.f64 n (*.f64 (*.f64 i i) (+.f64 (*.f64 i (+.f64 1/24 (+.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 -1/4 (pow.f64 n 3)) (/.f64 -1/4 n))))) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i)
(/.f64 n (/.f64 i (fma.f64 100 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) -100)))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) -100))
(*.f64 (/.f64 n i) (fma.f64 100 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) -100))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i))
(fma.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (*.f64 i i)) (/.f64 n (/.f64 i (fma.f64 100 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) -100))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)) (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) -100)))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 i n) (/.f64 (*.f64 i i) (pow.f64 n (neg.f64 n)))) (pow.f64 n 3)) (*.f64 (/.f64 n i) (fma.f64 100 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) -100)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))))
(+.f64 (fma.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (*.f64 i i)) (/.f64 n (/.f64 i (fma.f64 100 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) -100)))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)) (fma.f64 100 (/.f64 (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 n (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))) (pow.f64 i 3)) (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) -100))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 i n) (/.f64 (*.f64 i i) (pow.f64 n (neg.f64 n)))) (pow.f64 n 3)) (fma.f64 100 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))) (*.f64 (/.f64 n i) (fma.f64 100 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) -100))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(+.f64 (fma.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (*.f64 i i)) (/.f64 n (/.f64 i (fma.f64 100 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) -100)))) (*.f64 100 (+.f64 (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 1/3 (pow.f64 n 4))))))))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)) (fma.f64 100 (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 n (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))) (pow.f64 i 3)) (/.f64 (*.f64 n (fma.f64 1/6 (pow.f64 n 6) (fma.f64 1/3 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 5))))) (/.f64 (pow.f64 i 4) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))))) (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) -100))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 i n) (/.f64 (*.f64 i i) (pow.f64 n (neg.f64 n)))) (pow.f64 n 3)) (fma.f64 100 (+.f64 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))) (*.f64 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 1/3 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 5)))))) (*.f64 (/.f64 n i) (fma.f64 100 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) -100))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) -100))
(*.f64 (/.f64 n i) (fma.f64 100 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) -100))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (/.f64 (*.f64 n (fma.f64 100 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) -100)) i))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i)) (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) -100)))
(fma.f64 100 (/.f64 (pow.f64 n 3) (*.f64 (/.f64 (/.f64 i (pow.f64 (/.f64 -1 i) (neg.f64 n))) (pow.f64 (/.f64 -1 n) n)) i)) (*.f64 (/.f64 n i) (fma.f64 100 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) -100)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 100 (/.f64 (*.f64 n (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 3)) (/.f64 (*.f64 n (fma.f64 100 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) -100)) i)))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i)) (fma.f64 100 (/.f64 (*.f64 n (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2))) (/.f64 (pow.f64 i 3) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) -100))))
(+.f64 (*.f64 (/.f64 n i) (fma.f64 100 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) -100)) (*.f64 100 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) i) (+.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (/.f64 (*.f64 i i) n))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (+.f64 (fma.f64 100 (/.f64 (*.f64 n (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 3)) (/.f64 (*.f64 n (fma.f64 100 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) -100)) i)) (*.f64 -100 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))))))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i)) (fma.f64 100 (/.f64 (*.f64 n (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2))) (/.f64 (pow.f64 i 3) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (fma.f64 -100 (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6))))) (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) -100)))))
(+.f64 (fma.f64 -100 (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6))))) (*.f64 (/.f64 n i) (fma.f64 100 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) -100))) (*.f64 100 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) i) (+.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (/.f64 (*.f64 i i) n))))))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))))
(*.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))))
(*.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) i) (pow.f64 n 3))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) i) (pow.f64 n 3)) (*.f64 (/.f64 (pow.f64 n 4) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (+.f64 (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)) (/.f64 -1/2 (*.f64 i i)))))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 -1/2 (*.f64 i i))))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(fma.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i) (fma.f64 1/24 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) i) (fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) i) (pow.f64 n 3)) (*.f64 (/.f64 (pow.f64 n 4) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (+.f64 (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)) (/.f64 -1/2 (*.f64 i i)))))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 -1/2 (*.f64 i i)))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 (/.f64 1/2 i) i)))))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (/.f64 (*.f64 i (*.f64 n n)) (exp.f64 i))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))))
(+.f64 (*.f64 (*.f64 (/.f64 (exp.f64 i) i) 100) (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (*.f64 n n)))) (fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 -100 (/.f64 (exp.f64 i) (/.f64 (*.f64 i (*.f64 n n)) (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 -100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 -100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/4 (pow.f64 i 4) (*.f64 1/6 (pow.f64 i 5)))) i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))))

eval559.0ms (2.2%)

Compiler

Compiled 22634 to 13963 computations (38.3% saved)

prune163.0ms (0.6%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New88017897
Fresh13316
Picked101
Done134
Total89523918
Error
0b
Counts
918 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
▶62.1b
(*.f64 i -50)
47.2b
(/.f64 (*.f64 (expm1.f64 (exp.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 100) (/.f64 i n))
✓32.0b
(*.f64 n 100)
▶33.1b
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
29.0b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
32.7b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
46.3b
(/.f64 (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100) (/.f64 i n))
▶46.5b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
32.7b
(*.f64 n (+.f64 100 (*.f64 i 50)))
59.4b
(*.f64 100 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
32.7b
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
✓44.7b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
49.3b
(/.f64 (*.f64 n (-.f64 100 100)) i)
34.2b
(/.f64 (*.f64 100 i) (/.f64 i n))
27.7b
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
32.6b
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
17.6b
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
44.6b
(*.f64 (/.f64 n 1) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
33.0b
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 i (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))
✓15.5b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
52.8b
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))
▶16.1b
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
▶34.7b
(/.f64 (*.f64 n (*.f64 100 i)) i)
Compiler

Compiled 636 to 452 computations (28.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
✓0.2b
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))
7.3b
(log1p.f64 (/.f64 i n))
8.8b
(*.f64 n (log1p.f64 (/.f64 i n)))
Compiler

Compiled 52 to 16 computations (69.2% saved)

series10.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
i
@-inf
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))
1.0ms
n
@0
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))
1.0ms
i
@inf
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))
1.0ms
n
@inf
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))
1.0ms
n
@0
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)

rewrite73.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
650×log-prod_binary64
385×pow-prod-down_binary64
303×pow2_binary64
244×pow-unpow_binary64
224×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01137
123937
2322437
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 100 i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 100 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 100 i)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 100 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)) 10) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)) 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 1 (*.f64 i -1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 1) (/.f64 100 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2) 1) (/.f64 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n (log1p.f64 (/.f64 i n)))) 1/100)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i -1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 3) (pow.f64 (*.f64 i 1/100) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) (/.f64 100 i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) (/.f64 100 i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 n) (/.f64 100 i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 n) (/.f64 100 i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 i 1/100) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (*.f64 i 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (*.f64 i -1/100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) i) 1/100)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1) (*.f64 i 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (cbrt.f64 (*.f64 (*.f64 i i) 1/10000))) (cbrt.f64 (*.f64 i 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (*.f64 (sqrt.f64 i) 1/10)) (*.f64 (sqrt.f64 i) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) n) (*.f64 i -1/100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (*.f64 i -1/100))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 i 1/100) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 n) (/.f64 100 i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 100 i) n))) 1))))))

simplify93.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
891×associate-/l*_binary64
688×associate-/r*_binary64
446×associate-*l/_binary64
358×fma-def_binary64
260×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02883125
19962912
239342751
Stop Event
1×node limit
Counts
124 → 158
Calls
Call 1
Inputs
(*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))))))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)))
(+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 (pow.f64 n 2) i))) (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n))))
(+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 3) i))))))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)))
(+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 (pow.f64 n 2) i))) (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n))))
(+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 3) i))))))
100
(+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 100 (+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))) (+.f64 100 (+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))))
(*.f64 100 (/.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 3))) (*.f64 100 (/.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 4))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 3))) (*.f64 100 (/.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) i)))))
(*.f64 100 (/.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1) i))
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(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1) i)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 4))))))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
Outputs
(*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(/.f64 (*.f64 100 (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))) i)
(*.f64 100 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))))
(*.f64 100 (+.f64 (/.f64 n (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 (*.f64 n n) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 n (*.f64 n (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)))))))
(fma.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (+.f64 (/.f64 (log.f64 i) (*.f64 i i)) (*.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i)))) (/.f64 1/2 (pow.f64 i 3)))) (*.f64 100 (+.f64 (/.f64 n (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 (*.f64 n n) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 n (*.f64 n (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))))) (*.f64 (pow.f64 n 3) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))))))
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100
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(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (/.f64 i (pow.f64 (/.f64 -1 n) n))) (/.f64 (pow.f64 n 3) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (*.f64 100 (+.f64 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (pow.f64 n 3) i)) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (/.f64 i (pow.f64 (/.f64 -1 n) n))) (+.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (/.f64 (*.f64 i i) n))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (fma.f64 -100 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))))) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) i))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (pow.f64 n 3) i)) (fma.f64 100 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (fma.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 -100 (/.f64 n (/.f64 (/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))))))
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (/.f64 i (pow.f64 (/.f64 -1 n) n))) (+.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (/.f64 (*.f64 i i) n)))))) (*.f64 -100 (/.f64 n (/.f64 (/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 -1/6 (pow.f64 n 6) (*.f64 1/2 (pow.f64 n 5))))) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))))))

localize4.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 n (*.f64 100 i))
✓14.6b
(/.f64 (*.f64 n (*.f64 100 i)) i)
Compiler

Compiled 20 to 12 computations (40% saved)

series15.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
n
@inf
(*.f64 n (*.f64 100 i))
4.0ms
i
@inf
(*.f64 n (*.f64 100 i))
2.0ms
i
@-inf
(/.f64 (*.f64 n (*.f64 100 i)) i)
1.0ms
n
@0
(/.f64 (*.f64 n (*.f64 100 i)) i)
0.0ms
n
@-inf
(/.f64 (*.f64 n (*.f64 100 i)) i)

rewrite56.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
829×pow1_binary64
776×add-log-exp_binary64
776×log1p-expm1-u_binary64
776×expm1-log1p-u_binary64
761×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115017
2203017
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(/.f64 (*.f64 n (*.f64 100 i)) i)
(*.f64 n (*.f64 100 i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 n i) (*.f64 100 i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 1 (*.f64 1/100 (/.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (*.f64 (*.f64 100 i) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 i) (*.f64 n (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (*.f64 100 i)) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 n i) (*.f64 100 i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 n i) (*.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 100 i))) 2) (*.f64 (cbrt.f64 (*.f64 n (*.f64 100 i))) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))) 2) (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 n (*.f64 100 i))) (*.f64 (sqrt.f64 (*.f64 n (*.f64 100 i))) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))) (sqrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (neg.f64 (*.f64 100 i))) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (*.f64 n (*.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n 1) (/.f64 (*.f64 100 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 i) 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (*.f64 100 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 100 i))) 2) 1) (/.f64 (cbrt.f64 (*.f64 n (*.f64 100 i))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 100 i))) 1) (/.f64 (sqrt.f64 (*.f64 n (*.f64 100 i))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n 100) 1) (/.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 100 i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 i) (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 n (*.f64 100 i)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 100 i))) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 100 i))) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (*.f64 n (*.f64 100 i))) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n 100) (pow.f64 (cbrt.f64 i) 2)) (/.f64 i (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (sqrt.f64 i)) (/.f64 (*.f64 100 i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 i) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (*.f64 n (*.f64 100 i)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 100 i))) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (*.f64 n (*.f64 100 i))) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n 100) (sqrt.f64 i)) (/.f64 i (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 n i) (*.f64 100 i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 n i) (*.f64 100 i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 n (*.f64 100 i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 n (*.f64 100 i)) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 n i) (*.f64 100 i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 n i) (*.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 n i) (*.f64 100 i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 100 i)) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 n i) (*.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 n i) (*.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 n i) (*.f64 100 i))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 n (*.f64 100 i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (*.f64 100 i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (*.f64 100 i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (*.f64 100 i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (*.f64 100 i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (*.f64 100 i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 i) 100) n))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (*.f64 100 i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (*.f64 100 i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 100 i) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (*.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (*.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (*.f64 100 i))))))))

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07264
111264
217264
318264
Stop Event
1×saturated
Counts
106 → 61
Calls
Call 1
Inputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
Outputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
✓0.1b
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
✓7.1b
(*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
Compiler

Compiled 56 to 42 computations (25% saved)

series9.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
i
@-inf
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
1.0ms
i
@inf
(*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
1.0ms
n
@-inf
(*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
1.0ms
n
@inf
(*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
1.0ms
n
@0
(*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))

rewrite86.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
823×prod-diff_binary64
650×log-prod_binary64
473×fma-def_binary64
242×expm1-udef_binary64
242×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01345
129341
2392041
Stop Event
1×node limit
Counts
3 → 172
Calls
Call 1
Inputs
(*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
Outputs
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simplify76.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1083×fma-def_binary64
549×distribute-rgt-neg-out_binary64
302×distribute-frac-neg_binary64
298×fma-neg_binary64
284×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030900
173820
2184820
3583746
41818680
54411680
66038680
Stop Event
1×node limit
Counts
244 → 200
Calls
Call 1
Inputs
(*.f64 -1/2 i)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(*.f64 (+.f64 1 (*.f64 1/2 i)) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(*.f64 (+.f64 1 (*.f64 1/2 i)) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 -1/2 (/.f64 i n))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 1/2 i)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 1/2 i)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 -50 i)
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
Outputs
(*.f64 -1/2 i)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(*.f64 (+.f64 1 (*.f64 1/2 i)) n)
(*.f64 (+.f64 1 (*.f64 i 1/2)) n)
(*.f64 (fma.f64 i 1/2 1) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(*.f64 (+.f64 1 (*.f64 1/2 i)) n)
(*.f64 (+.f64 1 (*.f64 i 1/2)) n)
(*.f64 (fma.f64 i 1/2 1) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i n))
(*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))
(*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i n))
(*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(fma.f64 (+.f64 1 (*.f64 i 1/2)) n (*.f64 -1/2 i))
(fma.f64 (fma.f64 i 1/2 1) n (*.f64 -1/2 i))
(fma.f64 -1/2 i (*.f64 (fma.f64 i 1/2 1) n))
(fma.f64 i (fma.f64 1/2 n -1/2) n)
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
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(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
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(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
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(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
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(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 -1/2 (/.f64 i n))
(*.f64 i (/.f64 -1/2 n))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 i)
(*.f64 i 1/2)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
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(*.f64 (fma.f64 i (fma.f64 1/2 n -1/2) n) 100)
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(fma.f64 i -50 (*.f64 (fma.f64 i 1/2 1) (*.f64 n 100)))
(fma.f64 (fma.f64 i 1/2 1) (*.f64 n 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(fma.f64 n (fma.f64 i 50 100) (/.f64 i -1/50))
(*.f64 (fma.f64 i (fma.f64 1/2 n -1/2) n) 100)
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 (*.f64 n 100) (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))
(*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 n 100))
(*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 n 100)))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 100 (*.f64 (+.f64 1 (*.f64 i 1/2)) n) (*.f64 i -50))
(fma.f64 i -50 (*.f64 (fma.f64 i 1/2 1) (*.f64 n 100)))
(fma.f64 (fma.f64 i 1/2 1) (*.f64 n 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(fma.f64 n (fma.f64 i 50 100) (/.f64 i -1/50))
(*.f64 (fma.f64 i (fma.f64 1/2 n -1/2) n) 100)
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 100 (*.f64 (+.f64 1 (*.f64 i 1/2)) n) (*.f64 i -50))
(fma.f64 i -50 (*.f64 (fma.f64 i 1/2 1) (*.f64 n 100)))
(fma.f64 (fma.f64 i 1/2 1) (*.f64 n 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(fma.f64 n (fma.f64 i 50 100) (/.f64 i -1/50))
(*.f64 (fma.f64 i (fma.f64 1/2 n -1/2) n) 100)
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 100 (*.f64 (+.f64 1 (*.f64 i 1/2)) n) (*.f64 i -50))
(fma.f64 i -50 (*.f64 (fma.f64 i 1/2 1) (*.f64 n 100)))
(fma.f64 (fma.f64 i 1/2 1) (*.f64 n 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(fma.f64 n (fma.f64 i 50 100) (/.f64 i -1/50))
(*.f64 (fma.f64 i (fma.f64 1/2 n -1/2) n) 100)
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 (*.f64 n 100) (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))
(*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 n 100))
(*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 n 100)))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 100 (*.f64 (+.f64 1 (*.f64 i 1/2)) n) (*.f64 i -50))
(fma.f64 i -50 (*.f64 (fma.f64 i 1/2 1) (*.f64 n 100)))
(fma.f64 (fma.f64 i 1/2 1) (*.f64 n 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(fma.f64 n (fma.f64 i 50 100) (/.f64 i -1/50))
(*.f64 (fma.f64 i (fma.f64 1/2 n -1/2) n) 100)
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 100 (*.f64 (+.f64 1 (*.f64 i 1/2)) n) (*.f64 i -50))
(fma.f64 i -50 (*.f64 (fma.f64 i 1/2 1) (*.f64 n 100)))
(fma.f64 (fma.f64 i 1/2 1) (*.f64 n 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(fma.f64 n (fma.f64 i 50 100) (/.f64 i -1/50))
(*.f64 (fma.f64 i (fma.f64 1/2 n -1/2) n) 100)
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 100 (*.f64 (+.f64 1 (*.f64 i 1/2)) n) (*.f64 i -50))
(fma.f64 i -50 (*.f64 (fma.f64 i 1/2 1) (*.f64 n 100)))
(fma.f64 (fma.f64 i 1/2 1) (*.f64 n 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(fma.f64 n (fma.f64 i 50 100) (/.f64 i -1/50))
(*.f64 (fma.f64 i (fma.f64 1/2 n -1/2) n) 100)

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.9b
(+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)
8.1b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓10.4b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
Compiler

Compiled 60 to 32 computations (46.7% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite90.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
707×prod-diff_binary64
690×log-prod_binary64
370×fma-def_binary64
250×expm1-udef_binary64
250×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01334
129534
2403534
Stop Event
1×node limit
Counts
2 → 123
Calls
Call 1
Inputs
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)
Outputs
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simplify81.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
784×associate-/l*_binary64
584×associate-/r*_binary64
370×fma-def_binary64
331×associate-*l/_binary64
298×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03043043
110412849
239712649
Stop Event
1×node limit
Counts
171 → 206
Calls
Call 1
Inputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))))))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)))))) 100)
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))))) 100)
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
Outputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (fma.f64 -1 (log.f64 n) (log.f64 i)))) i)
(*.f64 100 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i))
(*.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))))))
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(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 -1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) -1/4))) (/.f64 (pow.f64 n 3) (exp.f64 i))) (exp.f64 i))))) -100)
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 100 (+.f64 (exp.f64 i) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (/.f64 (pow.f64 n 3) (exp.f64 i)))) (*.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i))))))
(+.f64 (fma.f64 100 (*.f64 (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (pow.f64 n 3)) 1) (exp.f64 i)) (*.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) -100))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(+.f64 (*.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i)))) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (exp.f64 i)))) -100)
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100)))
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (fma.f64 -100 (/.f64 (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (/.f64 (pow.f64 n 3) (exp.f64 i))) (*.f64 100 (exp.f64 i))))) -100)
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) (*.f64 -100 (/.f64 (exp.f64 i) (/.f64 (pow.f64 n 3) (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))))))))))
(+.f64 (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (/.f64 (/.f64 (pow.f64 n 3) (exp.f64 i)) -100)))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) -100))

eval389.0ms (1.5%)

Compiler

Compiled 21542 to 13374 computations (37.9% saved)

prune151.0ms (0.6%)

Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New77812790
Fresh21315
Picked011
Done347
Total78330813
Error
0b
Counts
813 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
✓62.1b
(*.f64 i -50)
47.2b
(/.f64 (*.f64 (expm1.f64 (exp.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 100) (/.f64 i n))
✓32.0b
(*.f64 n 100)
29.0b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
18.6b
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
33.0b
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 i (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))
▶16.4b
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n))
47.5b
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i)) n)
✓15.5b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
32.0b
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
32.7b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
▶34.7b
(*.f64 (/.f64 1 i) (*.f64 n (*.f64 100 i)))
46.3b
(/.f64 (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100) (/.f64 i n))
✓46.5b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
32.7b
(*.f64 n (+.f64 100 (*.f64 i 50)))
59.4b
(*.f64 100 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
32.7b
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
▶21.2b
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
49.3b
(/.f64 (*.f64 n (-.f64 100 100)) i)
39.9b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 n i) (*.f64 100 i)) 3))
34.2b
(/.f64 (*.f64 100 i) (/.f64 i n))
27.7b
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
▶32.6b
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
32.8b
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
17.6b
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
✓34.7b
(/.f64 (*.f64 n (*.f64 100 i)) i)
36.3b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))) 3)
32.1b
(*.f64 n (*.f64 (*.f64 100 i) (/.f64 1 i)))
47.6b
(exp.f64 (log.f64 (*.f64 (/.f64 n i) (*.f64 100 i))))
▶49.8b
(/.f64 (exp.f64 (log.f64 (*.f64 n (*.f64 100 i)))) i)
Compiler

Compiled 769 to 547 computations (28.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (*.f64 i 1/100) n)
7.3b
(log1p.f64 (/.f64 i n))
8.8b
(*.f64 n (log1p.f64 (/.f64 i n)))
✓9.0b
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n))
Compiler

Compiled 46 to 16 computations (65.2% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
n
@0
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n))
1.0ms
i
@0
(/.f64 (*.f64 i 1/100) n)
1.0ms
i
@-inf
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n))
1.0ms
i
@inf
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n))
0.0ms
i
@-inf
(/.f64 (*.f64 i 1/100) n)

rewrite73.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
682×log-prod_binary64
381×pow-prod-down_binary64
304×pow2_binary64
248×pow-unpow_binary64
233×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
123627
2328027
Stop Event
1×node limit
Counts
2 → 99
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n))
(/.f64 (*.f64 i 1/100) n)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (*.f64 100 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)))) (cbrt.f64 (pow.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100))) 2)) (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (*.f64 100 (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)))) (sqrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (*.f64 100 (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 1 (/.f64 (*.f64 i -1/100) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 i 1/100)) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2) (*.f64 i 1/100)) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (*.f64 i 1/100)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (*.f64 (/.f64 i n) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (*.f64 (/.f64 i n) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 i n) 1/100)) -2) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (cbrt.f64 (*.f64 (/.f64 i n) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 i n) 1/100)) 2)) (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 i n) 1/100)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (cbrt.f64 (*.f64 (/.f64 i n) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 i n) 1/100) -1/2) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (sqrt.f64 (*.f64 (/.f64 i n) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 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simplify59.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
801×times-frac_binary64
707×distribute-rgt-in_binary64
705×distribute-lft-in_binary64
593×associate-/l*_binary64
246×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02221764
17281651
228051563
Stop Event
1×node limit
Counts
147 → 140
Calls
Call 1
Inputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
Outputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(*.f64 100 (/.f64 (*.f64 (*.f64 n n) (fma.f64 -1 (log.f64 n) (log.f64 i))) i))
(*.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))))
(*.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (/.f64 (*.f64 (*.f64 n n) (fma.f64 -1 (log.f64 n) (log.f64 i))) i)))
(*.f64 100 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))))
(*.f64 100 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))
(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (+.f64 (/.f64 (log.f64 i) (*.f64 i i)) (*.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i)))) (/.f64 1/2 (pow.f64 i 3)))) (/.f64 (*.f64 (*.f64 n n) (fma.f64 -1 (log.f64 n) (log.f64 i))) i))))
(*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (fma.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (/.f64 (log.f64 n) i) i)) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))))))
(*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (fma.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3)))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))))
(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (fma.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (+.f64 (/.f64 (log.f64 i) (*.f64 i i)) (*.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i)))) (/.f64 1/2 (pow.f64 i 3)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) i) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4))))))) (/.f64 (*.f64 (*.f64 n n) (fma.f64 -1 (log.f64 n) (log.f64 i))) i)))))
(fma.f64 100 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (/.f64 (log.f64 n) i) i)) (/.f64 -1/2 (pow.f64 i 3)))) (fma.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (+.f64 (/.f64 1/3 (pow.f64 i 4)) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (/.f64 1/2 (pow.f64 i 3)))))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))))))
(*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (+.f64 (*.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3))))) (fma.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (+.f64 (/.f64 1/3 (pow.f64 i 4)) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (/.f64 1/2 (pow.f64 i 3)))))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))))
(fma.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)) (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 n (/.f64 i (expm1.f64 i))))))
(fma.f64 100 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (exp.f64 i) i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 n (/.f64 i (expm1.f64 i)))))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (exp.f64 i) i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (*.f64 n n)) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))))
(fma.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)) (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 n (/.f64 i (expm1.f64 i))))))
(fma.f64 100 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 -100 (/.f64 (exp.f64 i) (/.f64 (*.f64 (*.f64 n n) i) (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))))) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 n (/.f64 i (expm1.f64 i)))))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 -100 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (*.f64 n n))))))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n))
(*.f64 100 (fma.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) n))
(*.f64 100 (fma.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n)) n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(fma.f64 100 (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)))
(*.f64 100 (+.f64 (fma.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) n) (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))) i) (-.f64 1/2 (/.f64 1/2 n)))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(fma.f64 100 (*.f64 n (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))))) (fma.f64 100 (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))) (*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n))))
(+.f64 (*.f64 100 (fma.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) n)) (*.f64 (*.f64 100 n) (+.f64 (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))))) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))
(*.f64 100 (+.f64 (*.f64 n (*.f64 (*.f64 i i) (+.f64 (*.f64 (+.f64 1/24 (+.f64 (-.f64 (/.f64 11/24 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 -1/4 n))) i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))))) (fma.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n)) n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(*.f64 100 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))
(*.f64 100 (+.f64 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1)) (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 i n) (/.f64 i (pow.f64 n (neg.f64 n)))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (*.f64 100 (+.f64 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))) (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (/.f64 n (/.f64 (/.f64 (pow.f64 i 3) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 i n) (/.f64 i (pow.f64 n (neg.f64 n))))) (*.f64 (/.f64 n i) (+.f64 (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1) (*.f64 (/.f64 (pow.f64 i n) (/.f64 i (pow.f64 n (neg.f64 n)))) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))) (*.f64 100 (+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (/.f64 (*.f64 (*.f64 n (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 4) 1/3)))) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (pow.f64 i 4))))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)) (*.f64 100 (+.f64 (/.f64 n (/.f64 (/.f64 (pow.f64 i 3) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))))) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 n (fma.f64 1/6 (pow.f64 n 6) (fma.f64 (pow.f64 n 5) -1/2 (*.f64 (pow.f64 n 4) 1/3))))) (pow.f64 i 4))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 i n) (/.f64 i (pow.f64 n (neg.f64 n))))) (+.f64 (*.f64 (/.f64 n i) (+.f64 (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1) (*.f64 (/.f64 (pow.f64 i n) (/.f64 i (pow.f64 n (neg.f64 n)))) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i)))) (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 (pow.f64 n 4) 1/3 (*.f64 (pow.f64 n 5) -1/2))))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))
(*.f64 100 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))
(*.f64 100 (+.f64 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) i)))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (/.f64 i (pow.f64 (/.f64 -1 n) n))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (*.f64 100 (+.f64 (/.f64 (*.f64 n (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 3)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) i))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i)) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (/.f64 n (/.f64 (/.f64 (pow.f64 i 3) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (/.f64 i (pow.f64 (/.f64 -1 n) n))) (+.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) (/.f64 (*.f64 i i) n))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 100 (/.f64 (*.f64 n (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 3)) (fma.f64 -100 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))))) (*.f64 100 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) i)))))
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i)) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (/.f64 n (/.f64 (/.f64 (pow.f64 i 3) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))))) (*.f64 -100 (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))))))
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (/.f64 i (pow.f64 (/.f64 -1 n) n))) (+.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) (/.f64 (*.f64 i i) n)))))) (*.f64 -100 (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))))))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))
(*.f64 1/100 (/.f64 i n))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 21 to 14 computations (33.3% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite54.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
911×pow1_binary64
855×add-log-exp_binary64
855×log1p-expm1-u_binary64
855×expm1-log1p-u_binary64
840×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0810
11788
223498
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i -50) (*.f64 100 n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 100 n) (*.f64 i -50))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 100 n) 1) (*.f64 (*.f64 i -50) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 100 n (*.f64 i -50))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 100 n) 3) (pow.f64 (*.f64 i -50) 3)) (+.f64 (*.f64 (*.f64 100 n) (*.f64 100 n)) (-.f64 (*.f64 (*.f64 i -50) (*.f64 i -50)) (*.f64 (*.f64 100 n) (*.f64 i -50)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 100 n) (*.f64 100 n)) (*.f64 (*.f64 i -50) (*.f64 i -50))) (-.f64 (*.f64 100 n) (*.f64 i -50)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 3) -1/8)) 100) (fma.f64 n n (*.f64 (*.f64 -1/2 i) (-.f64 (*.f64 -1/2 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 n n) (*.f64 (*.f64 i i) 1/4)) 100) (+.f64 n (*.f64 1/2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (+.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 3) -1/8))) (fma.f64 n n (*.f64 (*.f64 -1/2 i) (-.f64 (*.f64 -1/2 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (-.f64 (*.f64 n n) (*.f64 (*.f64 i i) 1/4))) (+.f64 n (*.f64 1/2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 100 n (*.f64 i -50)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 100 n (*.f64 i -50)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 100 n (*.f64 i -50))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 (fma.f64 -1/2 i n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 100 n (*.f64 i -50)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 100 n (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 100 n (*.f64 i -50)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 100 n (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 100 n (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 100 n (*.f64 i -50))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 100 n (*.f64 i -50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n 100 (*.f64 i -50))))))

simplify10.0ms (0%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
2×*-commutative_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09168
113168
215168
Stop Event
1×saturated
Counts
46 → 27
Calls
Call 1
Inputs
(*.f64 -50 i)
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(*.f64 100 n)
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(*.f64 100 n)
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(*.f64 100 n)
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(*.f64 -50 i)
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(*.f64 -50 i)
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(+.f64 (*.f64 100 n) (*.f64 -50 i))
Outputs
(*.f64 -50 i)
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(fma.f64 -50 i (*.f64 100 n))
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(fma.f64 -50 i (*.f64 100 n))
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(fma.f64 -50 i (*.f64 100 n))
(*.f64 100 n)
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(fma.f64 -50 i (*.f64 100 n))
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(fma.f64 -50 i (*.f64 100 n))
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(fma.f64 -50 i (*.f64 100 n))
(*.f64 100 n)
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(fma.f64 -50 i (*.f64 100 n))
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(fma.f64 -50 i (*.f64 100 n))
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(fma.f64 -50 i (*.f64 100 n))
(*.f64 100 n)
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(fma.f64 -50 i (*.f64 100 n))
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(fma.f64 -50 i (*.f64 100 n))
(+.f64 (*.f64 -50 i) (*.f64 100 n))
(fma.f64 -50 i (*.f64 100 n))
(*.f64 -50 i)
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(fma.f64 -50 i (*.f64 100 n))
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(fma.f64 -50 i (*.f64 100 n))
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(fma.f64 -50 i (*.f64 100 n))
(*.f64 -50 i)
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(fma.f64 -50 i (*.f64 100 n))
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(fma.f64 -50 i (*.f64 100 n))
(+.f64 (*.f64 100 n) (*.f64 -50 i))
(fma.f64 -50 i (*.f64 100 n))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 n (*.f64 100 i))
✓14.7b
(*.f64 (/.f64 1 i) (*.f64 n (*.f64 100 i)))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite55.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
869×pow1_binary64
807×add-log-exp_binary64
807×log1p-expm1-u_binary64
807×expm1-log1p-u_binary64
791×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
118410
2221710
Stop Event
1×node limit
Counts
1 → 27
Calls
Call 1
Inputs
(*.f64 (/.f64 1 i) (*.f64 n (*.f64 100 i)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 i 100) (/.f64 n i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 i (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i (*.f64 i 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i 100) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (*.f64 n 100)) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 i (*.f64 n 100))) 2) (/.f64 i (cbrt.f64 (*.f64 i (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 i (*.f64 n 100))) (/.f64 i (sqrt.f64 (*.f64 i (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n 100) (/.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 i (*.f64 n 100))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 i (*.f64 n 100)) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 i (*.f64 n 100)) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 i (*.f64 n 100)) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 i (*.f64 n 100))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 i (*.f64 n 100)) -1) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 i 100) (/.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 i 100) (/.f64 n i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 i 100) (/.f64 n i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 i 100) (/.f64 n i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 i 100) (/.f64 n i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 n i)) (*.f64 i 100)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 i 100) (/.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 i (*.f64 n 100)) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 i -2) i) (pow.f64 (*.f64 i (*.f64 n 100)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 i (*.f64 n 100)) 3) (/.f64 (pow.f64 i -2) i)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 i 100) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 i 100) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 i 100) (/.f64 n i))))))))

simplify8.0ms (0%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
1596
Stop Event
1×saturated
Counts
51 → 28
Calls
Call 1
Inputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
Outputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(expm1.f64 i)
✓0.0b
(*.f64 n (expm1.f64 i))
✓8.4b
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
Compiler

Compiled 22 to 10 computations (54.5% saved)

series15.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite64.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
821×pow1_binary64
764×add-log-exp_binary64
764×log1p-expm1-u_binary64
764×expm1-log1p-u_binary64
748×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
116921
2208021
Stop Event
1×node limit
Counts
3 → 54
Calls
Call 1
Inputs
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 n (expm1.f64 i))
(expm1.f64 i)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (expm1.f64 i)) (*.f64 i 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 100 (*.f64 n (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 100 (*.f64 n (expm1.f64 i)))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -100 (*.f64 n (expm1.f64 i))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (expm1.f64 i)) -100) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 n) (expm1.f64 i)) (/.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 100 i) 3) (pow.f64 (*.f64 n (expm1.f64 i)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 3) (pow.f64 (/.f64 100 i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (expm1.f64 i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (expm1.f64 i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (expm1.f64 i))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 i) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 i)) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (cbrt.f64 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 i)) (sqrt.f64 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 i) 3) 1) (+.f64 (*.f64 (exp.f64 i) (exp.f64 i)) (+.f64 1 (*.f64 (exp.f64 i) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) 1) (+.f64 (exp.f64 i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 i)))))))

simplify74.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
748×distribute-rgt-out_binary64
643×times-frac_binary64
612×associate-*l*_binary64
540×distribute-lft-in_binary64
430×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049579
1139575
2373559
31285543
43797543
55892543
Stop Event
1×node limit
Counts
114 → 80
Calls
Call 1
Inputs
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n i)
(+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2)))))
(+.f64 (*.f64 1/24 (*.f64 n (pow.f64 i 4))) (+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
i
(+.f64 i (*.f64 1/2 (pow.f64 i 2)))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 1/24 (pow.f64 i 4)) (*.f64 1/2 (pow.f64 i 2)))))
(-.f64 (exp.f64 i) 1)
(-.f64 (exp.f64 i) 1)
(-.f64 (exp.f64 i) 1)
(-.f64 (exp.f64 i) 1)
(-.f64 (exp.f64 i) 1)
(-.f64 (exp.f64 i) 1)
(-.f64 (exp.f64 i) 1)
(-.f64 (exp.f64 i) 1)
Outputs
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 n i) (*.f64 100 n))
(fma.f64 100 n (*.f64 i (*.f64 n 50)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 100 n (*.f64 n (*.f64 (*.f64 i i) 50/3))))
(fma.f64 (*.f64 i i) (*.f64 n 50/3) (*.f64 n (+.f64 100 (*.f64 50 i))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 100 n (*.f64 n (*.f64 (*.f64 i i) 50/3)))))
(fma.f64 (pow.f64 i 3) (*.f64 n 25/6) (fma.f64 (*.f64 i i) (*.f64 n 50/3) (*.f64 n (+.f64 100 (*.f64 50 i)))))
(*.f64 n (+.f64 (*.f64 i (+.f64 (*.f64 i 50/3) 50)) (+.f64 100 (*.f64 25/6 (pow.f64 i 3)))))
(*.f64 n (+.f64 100 (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 i (+.f64 50 (*.f64 i 50/3))))))
(*.f64 n (+.f64 100 (+.f64 (*.f64 50 i) (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n i)
(+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))
(fma.f64 n i (*.f64 (*.f64 1/2 n) (*.f64 i i)))
(fma.f64 n i (*.f64 (*.f64 i i) (*.f64 n 1/2)))
(*.f64 n (fma.f64 i (*.f64 i 1/2) i))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2)))))
(fma.f64 1/6 (*.f64 n (pow.f64 i 3)) (fma.f64 n i (*.f64 (*.f64 1/2 n) (*.f64 i i))))
(fma.f64 (*.f64 n (pow.f64 i 3)) 1/6 (fma.f64 n i (*.f64 (*.f64 i i) (*.f64 n 1/2))))
(fma.f64 n i (*.f64 n (*.f64 (*.f64 i i) (+.f64 1/2 (*.f64 i 1/6)))))
(*.f64 n (fma.f64 i (*.f64 i 1/2) (fma.f64 (pow.f64 i 3) 1/6 i)))
(*.f64 n (fma.f64 (pow.f64 i 3) 1/6 (fma.f64 i (*.f64 i 1/2) i)))
(+.f64 (*.f64 1/24 (*.f64 n (pow.f64 i 4))) (+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))))
(fma.f64 1/24 (*.f64 n (pow.f64 i 4)) (fma.f64 1/6 (*.f64 n (pow.f64 i 3)) (fma.f64 n i (*.f64 (*.f64 1/2 n) (*.f64 i i)))))
(fma.f64 1/24 (*.f64 n (pow.f64 i 4)) (fma.f64 (*.f64 n (pow.f64 i 3)) 1/6 (fma.f64 n i (*.f64 (*.f64 i i) (*.f64 n 1/2)))))
(+.f64 (*.f64 n (fma.f64 (pow.f64 i 3) 1/6 i)) (*.f64 n (fma.f64 i (*.f64 i 1/2) (*.f64 1/24 (pow.f64 i 4)))))
(*.f64 n (fma.f64 (pow.f64 i 3) 1/6 (fma.f64 i (*.f64 i 1/2) (fma.f64 1/24 (pow.f64 i 4) i))))
(*.f64 n (fma.f64 (pow.f64 i 3) 1/6 (fma.f64 1/24 (pow.f64 i 4) (fma.f64 i (*.f64 i 1/2) i))))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
i
(+.f64 i (*.f64 1/2 (pow.f64 i 2)))
(+.f64 i (*.f64 (*.f64 i i) 1/2))
(fma.f64 (*.f64 i i) 1/2 i)
(fma.f64 i (*.f64 i 1/2) i)
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(fma.f64 1/6 (pow.f64 i 3) (+.f64 i (*.f64 (*.f64 i i) 1/2)))
(fma.f64 (pow.f64 i 3) 1/6 (fma.f64 (*.f64 i i) 1/2 i))
(fma.f64 i (*.f64 i 1/2) (fma.f64 (pow.f64 i 3) 1/6 i))
(fma.f64 (pow.f64 i 3) 1/6 (fma.f64 i (*.f64 i 1/2) i))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 1/24 (pow.f64 i 4)) (*.f64 1/2 (pow.f64 i 2)))))
(fma.f64 1/6 (pow.f64 i 3) (+.f64 i (fma.f64 1/24 (pow.f64 i 4) (*.f64 (*.f64 i i) 1/2))))
(+.f64 (fma.f64 (pow.f64 i 3) 1/6 (fma.f64 (*.f64 i i) 1/2 i)) (*.f64 1/24 (pow.f64 i 4)))
(fma.f64 (pow.f64 i 3) 1/6 (fma.f64 i (*.f64 i 1/2) (fma.f64 1/24 (pow.f64 i 4) i)))
(fma.f64 (pow.f64 i 3) 1/6 (fma.f64 1/24 (pow.f64 i 4) (fma.f64 i (*.f64 i 1/2) i)))
(-.f64 (exp.f64 i) 1)
(expm1.f64 i)
(-.f64 (exp.f64 i) 1)
(expm1.f64 i)
(-.f64 (exp.f64 i) 1)
(expm1.f64 i)
(-.f64 (exp.f64 i) 1)
(expm1.f64 i)
(-.f64 (exp.f64 i) 1)
(expm1.f64 i)
(-.f64 (exp.f64 i) 1)
(expm1.f64 i)
(-.f64 (exp.f64 i) 1)
(expm1.f64 i)
(-.f64 (exp.f64 i) 1)
(expm1.f64 i)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 n (*.f64 100 i))
✓2.6b
(exp.f64 (log.f64 (*.f64 n (*.f64 100 i))))
✓10.1b
(/.f64 (exp.f64 (log.f64 (*.f64 n (*.f64 100 i)))) i)
✓11.9b
(log.f64 (*.f64 n (*.f64 100 i)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

series129.0ms (0.5%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
36.0ms
i
@0
(log.f64 (*.f64 n (*.f64 100 i)))
33.0ms
n
@0
(log.f64 (*.f64 n (*.f64 100 i)))
14.0ms
n
@-inf
(log.f64 (*.f64 n (*.f64 100 i)))
13.0ms
i
@-inf
(log.f64 (*.f64 n (*.f64 100 i)))
11.0ms
i
@inf
(log.f64 (*.f64 n (*.f64 100 i)))

rewrite64.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
871×pow1_binary64
811×add-log-exp_binary64
811×log1p-expm1-u_binary64
811×expm1-log1p-u_binary64
795×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
117326
2213926
Stop Event
1×node limit
Counts
3 → 104
Calls
Call 1
Inputs
(log.f64 (*.f64 n (*.f64 100 i)))
(/.f64 (exp.f64 (log.f64 (*.f64 n (*.f64 100 i)))) i)
(exp.f64 (log.f64 (*.f64 n (*.f64 100 i))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 100 i)) (log.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 n) (log.f64 (*.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 n 100)) (log.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 i (*.f64 n 100))) 2)) (log.f64 (cbrt.f64 (*.f64 i (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 i (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 i (*.f64 n 100)))) (log.f64 (sqrt.f64 (*.f64 i (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 i (*.f64 n 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 i (*.f64 n 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 i (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 i (*.f64 n 100)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 i (*.f64 n 100)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 i (*.f64 n 100)))) 2) (cbrt.f64 (log.f64 (*.f64 i (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 i (*.f64 n 100)))) (sqrt.f64 (log.f64 (*.f64 i (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log.f64 (*.f64 100 i)) 3)) (+.f64 (*.f64 (log.f64 n) (log.f64 n)) (-.f64 (*.f64 (log.f64 (*.f64 100 i)) (log.f64 (*.f64 100 i))) (*.f64 (log.f64 n) (log.f64 (*.f64 100 i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 n) (log.f64 n)) (*.f64 (log.f64 (*.f64 100 i)) (log.f64 (*.f64 100 i)))) (-.f64 (log.f64 n) (log.f64 (*.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 i (*.f64 n 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 i (*.f64 n 100))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 i (*.f64 n 100)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 i (*.f64 n 100)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 i (*.f64 n 100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 i (*.f64 n 100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 i (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 i (*.f64 n 100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 i (*.f64 n 100)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 i (*.f64 n 100)) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (*.f64 (*.f64 100 i) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 i) (*.f64 n (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (*.f64 n 100)) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i (*.f64 n 100)) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 i (*.f64 n 100)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 i (*.f64 n 100))) 2) (*.f64 (cbrt.f64 (*.f64 i (*.f64 n 100))) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)) 2) (cbrt.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 i (*.f64 n 100))) (*.f64 (sqrt.f64 (*.f64 i (*.f64 n 100))) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)) (sqrt.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 i) (neg.f64 n)) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (*.f64 i (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n 1) (/.f64 (*.f64 100 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 i) 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i (*.f64 n 100))) 2) 1) (/.f64 (cbrt.f64 (*.f64 i (*.f64 n 100))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 i (*.f64 n 100))) 1) (/.f64 (sqrt.f64 (*.f64 i (*.f64 n 100))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n 100) 1) (/.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 100 i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 i) (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 i (*.f64 n 100)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i (*.f64 n 100))) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 i (*.f64 n 100))) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (*.f64 i (*.f64 n 100))) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n 100) (pow.f64 (cbrt.f64 i) 2)) (/.f64 i (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (sqrt.f64 i)) (/.f64 (*.f64 100 i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 i) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (*.f64 i (*.f64 n 100)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i (*.f64 n 100))) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (*.f64 i (*.f64 n 100))) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n 100) (sqrt.f64 i)) (/.f64 i (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 i (*.f64 n 100)) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 i (*.f64 n 100)) i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 i (*.f64 n 100))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 i (*.f64 n 100)) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 i (*.f64 n 100)) i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 i (*.f64 n 100)) i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 i (*.f64 n 100)) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 i (*.f64 n 100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 i (*.f64 n 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (*.f64 100 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 i) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (*.f64 n 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 i (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 i (*.f64 n 100))) (pow.f64 (cbrt.f64 (*.f64 i (*.f64 n 100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 i (*.f64 n 100))) 2) (cbrt.f64 (*.f64 i (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 100 i)) 2) (*.f64 (cbrt.f64 (*.f64 100 i)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (*.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 i (*.f64 n 100))) (sqrt.f64 (*.f64 i (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 10 (sqrt.f64 i)) (*.f64 (*.f64 10 (sqrt.f64 i)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (*.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n 100) i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n i) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (pow.f64 (cbrt.f64 (*.f64 100 i)) 2)) (cbrt.f64 (*.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (*.f64 10 (sqrt.f64 i))) (*.f64 10 (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 i) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 i) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 n 100) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 n 100) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 n 100) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (*.f64 n 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (*.f64 n 100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i (*.f64 n 100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 i (*.f64 n 100))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 i (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 i (*.f64 n 100)))) 2)) (cbrt.f64 (log.f64 (*.f64 i (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 i (*.f64 n 100))))) (sqrt.f64 (log.f64 (*.f64 i (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 i (*.f64 n 100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 100) i) n))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i (*.f64 n 100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (*.f64 100 i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 100 i) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (*.f64 n 100))))))))

simplify82.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
552×fma-neg_binary64
404×fma-def_binary64
134×distribute-rgt-in_binary64
130×sub-neg_binary64
128×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037560
176552
2119552
3310552
4807552
51291552
61817552
72238552
82458552
92477552
Stop Event
1×saturated
Counts
176 → 112
Calls
Call 1
Inputs
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 i)) (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (*.f64 100 i)) (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (*.f64 100 i)) (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (*.f64 100 i)) (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -100 i)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -100 i)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -100 i)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -100 i)))
(+.f64 (log.f64 (*.f64 100 n)) (log.f64 i))
(+.f64 (log.f64 (*.f64 100 n)) (log.f64 i))
(+.f64 (log.f64 (*.f64 100 n)) (log.f64 i))
(+.f64 (log.f64 (*.f64 100 n)) (log.f64 i))
(+.f64 (log.f64 (*.f64 100 n)) (*.f64 -1 (log.f64 (/.f64 1 i))))
(+.f64 (log.f64 (*.f64 100 n)) (*.f64 -1 (log.f64 (/.f64 1 i))))
(+.f64 (log.f64 (*.f64 100 n)) (*.f64 -1 (log.f64 (/.f64 1 i))))
(+.f64 (log.f64 (*.f64 100 n)) (*.f64 -1 (log.f64 (/.f64 1 i))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (*.f64 -100 n)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (*.f64 -100 n)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (*.f64 -100 n)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (*.f64 -100 n)))
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 n i))
Outputs
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 i)) (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 i)) (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 i)) (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 i)) (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -100 i)))
(fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 i -100)))
(-.f64 (log.f64 (*.f64 i -100)) (log.f64 (/.f64 -1 n)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -100 i)))
(fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 i -100)))
(-.f64 (log.f64 (*.f64 i -100)) (log.f64 (/.f64 -1 n)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -100 i)))
(fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 i -100)))
(-.f64 (log.f64 (*.f64 i -100)) (log.f64 (/.f64 -1 n)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -100 i)))
(fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 i -100)))
(-.f64 (log.f64 (*.f64 i -100)) (log.f64 (/.f64 -1 n)))
(+.f64 (log.f64 (*.f64 100 n)) (log.f64 i))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 n)) (log.f64 i))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 n)) (log.f64 i))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 n)) (log.f64 i))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 n)) (*.f64 -1 (log.f64 (/.f64 1 i))))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 n)) (*.f64 -1 (log.f64 (/.f64 1 i))))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 n)) (*.f64 -1 (log.f64 (/.f64 1 i))))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (log.f64 (*.f64 100 n)) (*.f64 -1 (log.f64 (/.f64 1 i))))
(+.f64 (log.f64 (*.f64 100 i)) (log.f64 n))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (*.f64 -100 n)))
(fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 i -100)))
(-.f64 (log.f64 (*.f64 i -100)) (log.f64 (/.f64 -1 n)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (*.f64 -100 n)))
(fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 i -100)))
(-.f64 (log.f64 (*.f64 i -100)) (log.f64 (/.f64 -1 n)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (*.f64 -100 n)))
(fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 i -100)))
(-.f64 (log.f64 (*.f64 i -100)) (log.f64 (/.f64 -1 n)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (*.f64 -100 n)))
(fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 i -100)))
(-.f64 (log.f64 (*.f64 i -100)) (log.f64 (/.f64 -1 n)))
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)
(*.f64 100 (*.f64 n i))
(*.f64 100 (*.f64 i n))
(*.f64 (*.f64 100 i) n)

eval309.0ms (1.2%)

Compiler

Compiled 9563 to 5583 computations (41.6% saved)

prune135.0ms (0.5%)

Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New50612518
Fresh91120
Picked011
Done459
Total51929548
Error
0b
Counts
548 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
✓62.1b
(*.f64 i -50)
47.2b
(/.f64 (*.f64 (expm1.f64 (exp.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 100) (/.f64 i n))
32.7b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
✓32.0b
(*.f64 n 100)
39.4b
(cbrt.f64 (pow.f64 (/.f64 (*.f64 i (*.f64 n 100)) i) 3))
18.6b
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
33.0b
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 i (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))
✓16.4b
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n))
34.9b
(*.f64 (/.f64 100 i) (*.f64 n i))
32.7b
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
17.6b
(*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
47.5b
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i)) n)
✓15.5b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
32.6b
(+.f64 (*.f64 i -50) (*.f64 100 n))
21.0b
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
✓46.5b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
32.7b
(*.f64 n (+.f64 100 (*.f64 i 50)))
59.4b
(*.f64 100 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
49.3b
(/.f64 (*.f64 n (-.f64 100 100)) i)
27.9b
(/.f64 (expm1.f64 i) (/.f64 (*.f64 i 1/100) n))
34.2b
(/.f64 (*.f64 i 100) (/.f64 i n))
32.8b
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
36.3b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))) 3)
32.1b
(*.f64 n (*.f64 (*.f64 100 i) (/.f64 1 i)))
46.3b
(/.f64 (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100) (/.f64 i n))
21.0b
(/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i 1/100))
✓49.8b
(/.f64 (exp.f64 (log.f64 (*.f64 n (*.f64 100 i)))) i)
32.0b
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
48.7b
(exp.f64 (log.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)))
Compiler

Compiled 399 to 283 computations (29.1% saved)

regimes689.0ms (2.7%)

Counts
64 → 5
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(*.f64 (/.f64 100 i) (*.f64 n i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 (*.f64 i 100) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 n (-.f64 100 100)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (/.f64 1 i) (*.f64 n (*.f64 100 i)))
(*.f64 n (*.f64 (*.f64 100 i) (/.f64 1 i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 i (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(/.f64 (expm1.f64 i) (/.f64 (*.f64 i 1/100) n))
(/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i 1/100))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100) (/.f64 i n))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i)) n)
(exp.f64 (log.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)))
(exp.f64 (log.f64 (*.f64 (/.f64 n i) (*.f64 100 i))))
(/.f64 (exp.f64 (log.f64 (*.f64 n (*.f64 100 i)))) i)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 i (*.f64 n 100)) i) 3))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 n i) (*.f64 100 i)) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))) 3)
(*.f64 (/.f64 n 1) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
(*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
(+.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)))
(/.f64 (*.f64 (expm1.f64 (exp.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 100) (/.f64 i n))
(*.f64 100 (/.f64 (exp.f64 (log.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (/.f64 i n)))
(*.f64 100 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
Outputs
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
(/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))
Calls

4 calls:

402.0ms
i
195.0ms
n
25.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
23.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
4.2b5i
5.2b4n
4.5b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
4.5b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 784 to 435 computations (44.5% saved)

bsearch2.1s (8.4%)

Algorithm
4×binary-search
Steps
TimeLeftRight
53.0ms
13.637530997373108
6.202523125093322e+33
979.0ms
5.422324766272735e-116
9.463873858408141e-114
677.0ms
1.656792211520858e-238
8.282027324507792e-237
394.0ms
-3.6244638778639404e-63
-9.281580742100108e-70
Compiler

Compiled 634 to 449 computations (29.2% saved)

regimes452.0ms (1.8%)

Counts
51 → 5
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(*.f64 (/.f64 100 i) (*.f64 n i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 (*.f64 i 100) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 n (-.f64 100 100)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (/.f64 1 i) (*.f64 n (*.f64 100 i)))
(*.f64 n (*.f64 (*.f64 100 i) (/.f64 1 i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 i (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(/.f64 (expm1.f64 i) (/.f64 (*.f64 i 1/100) n))
(/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i 1/100))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100) (/.f64 i n))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i)) n)
(exp.f64 (log.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)))
(exp.f64 (log.f64 (*.f64 (/.f64 n i) (*.f64 100 i))))
(/.f64 (exp.f64 (log.f64 (*.f64 n (*.f64 100 i)))) i)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 i (*.f64 n 100)) i) 3))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 n i) (*.f64 100 i)) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))) 3)
(*.f64 (/.f64 n 1) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
(*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))
Outputs
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
(/.f64 (*.f64 n (-.f64 100 100)) i)
Calls

4 calls:

219.0ms
n
160.0ms
i
36.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
19.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
4.7b5i
4.8b5n
5.4b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
5.4b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 555 to 333 computations (40% saved)

bsearch1.2s (4.9%)

Algorithm
4×binary-search
Steps
TimeLeftRight
61.0ms
3.637462430178576e+35
8.792698789549845e+65
498.0ms
5.422324766272735e-116
9.463873858408141e-114
292.0ms
1.656792211520858e-238
8.282027324507792e-237
370.0ms
-3.6244638778639404e-63
-9.281580742100108e-70
Compiler

Compiled 760 to 548 computations (27.9% saved)

regimes270.0ms (1.1%)

Counts
49 → 5
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(*.f64 (/.f64 100 i) (*.f64 n i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 (*.f64 i 100) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 n (-.f64 100 100)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (/.f64 1 i) (*.f64 n (*.f64 100 i)))
(*.f64 n (*.f64 (*.f64 100 i) (/.f64 1 i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 i (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(/.f64 (expm1.f64 i) (/.f64 (*.f64 i 1/100) n))
(/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i 1/100))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100) (/.f64 i n))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i)) n)
(exp.f64 (log.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)))
(exp.f64 (log.f64 (*.f64 (/.f64 n i) (*.f64 100 i))))
(/.f64 (exp.f64 (log.f64 (*.f64 n (*.f64 100 i)))) i)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 i (*.f64 n 100)) i) 3))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 n i) (*.f64 100 i)) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))) 3)
(*.f64 (/.f64 n 1) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
(*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
Outputs
(*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
(/.f64 (*.f64 n (-.f64 100 100)) i)
Calls

4 calls:

115.0ms
n
100.0ms
i
20.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
18.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
4.9b5i
5.0b5n
6.6b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
6.6b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 529 to 326 computations (38.4% saved)

bsearch1.3s (5.3%)

Algorithm
4×binary-search
Steps
TimeLeftRight
62.0ms
3.637462430178576e+35
8.792698789549845e+65
533.0ms
5.422324766272735e-116
9.463873858408141e-114
360.0ms
1.656792211520858e-238
8.282027324507792e-237
386.0ms
-3.6244638778639404e-63
-9.281580742100108e-70
Compiler

Compiled 760 to 548 computations (27.9% saved)

regimes198.0ms (0.8%)

Counts
48 → 3
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(*.f64 (/.f64 100 i) (*.f64 n i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 (*.f64 i 100) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 n (-.f64 100 100)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (/.f64 1 i) (*.f64 n (*.f64 100 i)))
(*.f64 n (*.f64 (*.f64 100 i) (/.f64 1 i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 i (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(/.f64 (expm1.f64 i) (/.f64 (*.f64 i 1/100) n))
(/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i 1/100))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100) (/.f64 i n))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i)) n)
(exp.f64 (log.f64 (/.f64 (*.f64 i (*.f64 n 100)) i)))
(exp.f64 (log.f64 (*.f64 (/.f64 n i) (*.f64 100 i))))
(/.f64 (exp.f64 (log.f64 (*.f64 n (*.f64 100 i)))) i)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 i (*.f64 n 100)) i) 3))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 n i) (*.f64 100 i)) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (*.f64 100 i))) 3)
(*.f64 (/.f64 n 1) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
Outputs
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(/.f64 (*.f64 n (-.f64 100 100)) i)
Calls

4 calls:

77.0ms
i
69.0ms
n
18.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
18.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
11.1b3i
11.8b3n
16.0b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
16.0b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 516 to 320 computations (38% saved)

bsearch430.0ms (1.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
142.0ms
5.344169217507564e-11
2.4195474635221983e-7
288.0ms
1.656792211520858e-238
8.282027324507792e-237
Compiler

Compiled 190 to 143 computations (24.7% saved)

regimes111.0ms (0.4%)

Counts
31 → 4
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(*.f64 (/.f64 100 i) (*.f64 n i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 (*.f64 i 100) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 n (-.f64 100 100)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (/.f64 1 i) (*.f64 n (*.f64 100 i)))
(*.f64 n (*.f64 (*.f64 100 i) (/.f64 1 i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 i (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(/.f64 (expm1.f64 i) (/.f64 (*.f64 i 1/100) n))
(/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i 1/100))
Outputs
(/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i 1/100))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(/.f64 (*.f64 n (-.f64 100 100)) i)
Calls

2 calls:

53.0ms
n
51.0ms
i
Results
ErrorSegmentsBranch
10.7b4i
11.9b4n
Compiler

Compiled 304 to 200 computations (34.2% saved)

bsearch889.0ms (3.5%)

Algorithm
3×binary-search
Steps
TimeLeftRight
128.0ms
5.344169217507564e-11
2.4195474635221983e-7
260.0ms
1.656792211520858e-238
8.282027324507792e-237
501.0ms
-1.0892235139817969e-123
-3.8658448068351135e-130
Compiler

Compiled 415 to 314 computations (24.3% saved)

regimes111.0ms (0.4%)

Counts
30 → 4
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(*.f64 (/.f64 100 i) (*.f64 n i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 (*.f64 i 100) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 n (-.f64 100 100)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (/.f64 1 i) (*.f64 n (*.f64 100 i)))
(*.f64 n (*.f64 (*.f64 100 i) (/.f64 1 i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 i (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(/.f64 (expm1.f64 i) (/.f64 (*.f64 i 1/100) n))
Outputs
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(/.f64 (*.f64 n (-.f64 100 100)) i)
Calls

2 calls:

53.0ms
n
50.0ms
i
Results
ErrorSegmentsBranch
10.7b4i
11.9b4n
Compiler

Compiled 296 to 197 computations (33.4% saved)

bsearch994.0ms (4%)

Algorithm
3×binary-search
Steps
TimeLeftRight
209.0ms
5.344169217507564e-11
2.4195474635221983e-7
285.0ms
1.656792211520858e-238
8.282027324507792e-237
500.0ms
-1.0892235139817969e-123
-3.8658448068351135e-130
Compiler

Compiled 415 to 314 computations (24.3% saved)

regimes163.0ms (0.6%)

Counts
28 → 4
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(*.f64 (/.f64 100 i) (*.f64 n i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 (*.f64 i 100) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 n (-.f64 100 100)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (/.f64 1 i) (*.f64 n (*.f64 100 i)))
(*.f64 n (*.f64 (*.f64 100 i) (/.f64 1 i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 i (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
Outputs
(/.f64 (*.f64 n (-.f64 100 100)) i)
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(/.f64 (*.f64 n (-.f64 100 100)) i)
Calls

2 calls:

86.0ms
i
63.0ms
n
Results
ErrorSegmentsBranch
21.0b4i
23.5b3n
Compiler

Compiled 280 to 188 computations (32.9% saved)

bsearch599.0ms (2.4%)

Algorithm
3×binary-search
Steps
TimeLeftRight
135.0ms
5.344169217507564e-11
2.4195474635221983e-7
266.0ms
1.656792211520858e-238
8.282027324507792e-237
198.0ms
-0.05819920201995809
-1.6142020119269003e-13
Compiler

Compiled 442 to 345 computations (21.9% saved)

regimes72.0ms (0.3%)

Counts
23 → 4
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(*.f64 (/.f64 100 i) (*.f64 n i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 (*.f64 i 100) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 n (-.f64 100 100)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (/.f64 1 i) (*.f64 n (*.f64 100 i)))
(*.f64 n (*.f64 (*.f64 100 i) (/.f64 1 i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
Outputs
(/.f64 (*.f64 n (-.f64 100 100)) i)
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n)))))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(/.f64 (*.f64 n (-.f64 100 100)) i)
Calls

2 calls:

37.0ms
i
29.0ms
n
Results
ErrorSegmentsBranch
21.0b4i
23.5b3n
Compiler

Compiled 191 to 123 computations (35.6% saved)

bsearch528.0ms (2.1%)

Algorithm
3×binary-search
Steps
TimeLeftRight
135.0ms
5.344169217507564e-11
2.4195474635221983e-7
294.0ms
1.656792211520858e-238
8.282027324507792e-237
99.0ms
-71721270756315350.0
-53557768012151300.0
Compiler

Compiled 278 to 211 computations (24.1% saved)

regimes73.0ms (0.3%)

Counts
20 → 4
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(*.f64 (/.f64 100 i) (*.f64 n i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 (*.f64 i 100) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 n (-.f64 100 100)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (*.f64 n 100) (*.f64 i (/.f64 1 i)))
(*.f64 (/.f64 1 i) (*.f64 n (*.f64 100 i)))
(*.f64 n (*.f64 (*.f64 100 i) (/.f64 1 i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
Outputs
(/.f64 (*.f64 n (-.f64 100 100)) i)
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 (*.f64 n (*.f64 100 i)) i)
(/.f64 (*.f64 n (-.f64 100 100)) i)
Calls

2 calls:

35.0ms
i
29.0ms
n
Results
ErrorSegmentsBranch
21.0b4i
23.5b3n
Compiler

Compiled 158 to 100 computations (36.7% saved)

bsearch465.0ms (1.8%)

Algorithm
3×binary-search
Steps
TimeLeftRight
124.0ms
5.344169217507564e-11
2.4195474635221983e-7
249.0ms
1.656792211520858e-238
8.282027324507792e-237
91.0ms
-71721270756315350.0
-53557768012151300.0
Compiler

Compiled 262 to 199 computations (24% saved)

regimes36.0ms (0.1%)

Counts
9 → 4
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(*.f64 (/.f64 100 i) (*.f64 n i))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(/.f64 (*.f64 i 100) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 n (-.f64 100 100)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
Outputs
(/.f64 (*.f64 n (-.f64 100 100)) i)
(+.f64 (*.f64 i -50) (*.f64 100 n))
(*.f64 (/.f64 100 i) (*.f64 n i))
(/.f64 (*.f64 n (-.f64 100 100)) i)
Calls

2 calls:

20.0ms
i
14.0ms
n
Results
ErrorSegmentsBranch
21.0b4i
23.5b3n
Compiler

Compiled 63 to 41 computations (34.9% saved)

bsearch465.0ms (1.8%)

Algorithm
3×binary-search
Steps
TimeLeftRight
125.0ms
5.344169217507564e-11
2.4195474635221983e-7
249.0ms
1.656792211520858e-238
8.282027324507792e-237
91.0ms
-71721270756315350.0
-53557768012151300.0
Compiler

Compiled 262 to 199 computations (24% saved)

regimes29.0ms (0.1%)

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

2 calls:

16.0ms
i
12.0ms
n
Results
ErrorSegmentsBranch
23.0b4i
25.0b3n
Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch705.0ms (2.8%)

Algorithm
3×binary-search
Steps
TimeLeftRight
139.0ms
1.9879147768837652e-39
1.7782607592568984e-35
250.0ms
1.656792211520858e-238
8.282027324507792e-237
316.0ms
-3.6244638778639404e-63
-9.281580742100108e-70
Compiler

Compiled 362 to 262 computations (27.6% saved)

regimes18.0ms (0.1%)

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

2 calls:

10.0ms
n
7.0ms
i
Results
ErrorSegmentsBranch
30.2b2i
30.4b3n
Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch250.0ms (1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
250.0ms
1.656792211520858e-238
8.282027324507792e-237
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes7.0ms (0%)

Accuracy

Total -30.2b remaining (-94.4%)

Threshold costs -30.2b (-94.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
Outputs
(*.f64 n 100)
Calls

2 calls:

3.0ms
n
3.0ms
i
Results
ErrorSegmentsBranch
32.0b1i
32.0b1n
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify29.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
23×*-commutative_binary64
6×+-commutative_binary64
2×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108786
1137786
2141786
3143786
4144786
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 i -6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n)) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 3188570148238937/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (*.f64 n (*.f64 100 i)) i) (if (<=.f64 i 1000) (*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))))))
(if (<=.f64 i -6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n)) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 3188570148238937/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (*.f64 n (*.f64 100 i)) i) (if (<=.f64 i 379999999999999995459488839572127744) (*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 (*.f64 n (-.f64 100 100)) i)))))
(if (<=.f64 i -6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 3188570148238937/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (*.f64 n (*.f64 100 i)) i) (if (<=.f64 i 379999999999999995459488839572127744) (*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 (*.f64 n (-.f64 100 100)) i)))))
(if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) (/.f64 (*.f64 n (-.f64 100 100)) i)))
(if (<=.f64 i -1577879649798847/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i 1/100)) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) (/.f64 (*.f64 n (-.f64 100 100)) i))))
(if (<=.f64 i -1577879649798847/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) (/.f64 (*.f64 n (-.f64 100 100)) i))))
(if (<=.f64 i -8358680908399641/144115188075855872) (/.f64 (*.f64 n (-.f64 100 100)) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 n (*.f64 100 i)) i) (/.f64 (*.f64 n (-.f64 100 100)) i))))
(if (<=.f64 i -71000000000000000) (/.f64 (*.f64 n (-.f64 100 100)) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 n (*.f64 100 i)) i) (/.f64 (*.f64 n (-.f64 100 100)) i))))
(if (<=.f64 i -71000000000000000) (/.f64 (*.f64 n (-.f64 100 100)) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (+.f64 (*.f64 i -50) (*.f64 100 n)) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 n (*.f64 100 i)) i) (/.f64 (*.f64 n (-.f64 100 100)) i))))
(if (<=.f64 i -71000000000000000) (/.f64 (*.f64 n (-.f64 100 100)) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (+.f64 (*.f64 i -50) (*.f64 100 n)) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (*.f64 (/.f64 100 i) (*.f64 n i)) (/.f64 (*.f64 n (-.f64 100 100)) i))))
(if (<=.f64 i -6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 (*.f64 i 100) (/.f64 i n)) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (+.f64 (*.f64 i -50) (*.f64 100 n)) (if (<=.f64 i 6547527335242445/374144419156711147060143317175368453031918731001856) (*.f64 (/.f64 100 i) (*.f64 n i)) (/.f64 (*.f64 i 100) (/.f64 i n)))))
(if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 n 100) (*.f64 (/.f64 100 i) (*.f64 n i)))
(*.f64 n 100)
(*.f64 i -50)
Outputs
(if (<=.f64 i -6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n)) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 3188570148238937/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (*.f64 n (*.f64 100 i)) i) (if (<=.f64 i 1000) (*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))))))
(if (<=.f64 i -6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n)) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 3188570148238937/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (*.f64 n (*.f64 i 100)) i) (if (<=.f64 i 1000) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))) (/.f64 (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 i n))))))
(if (<=.f64 i -6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n)) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 3188570148238937/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (*.f64 n (*.f64 100 i)) i) (if (<=.f64 i 379999999999999995459488839572127744) (*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 (*.f64 n (-.f64 100 100)) i)))))
(if (<=.f64 i -6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i 1/100) n)) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 3188570148238937/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (*.f64 n (*.f64 i 100)) i) (if (<=.f64 i 379999999999999995459488839572127744) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))) (/.f64 (*.f64 n 0) i)))))
(if (<=.f64 i -6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 3188570148238937/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (/.f64 (*.f64 n (*.f64 100 i)) i) (if (<=.f64 i 379999999999999995459488839572127744) (*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 (*.f64 n (-.f64 100 100)) i)))))
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(if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 n (/.f64 (expm1.f64 i) (/.f64 i 100))) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) (/.f64 (*.f64 n 0) i)))
(if (<=.f64 i -1577879649798847/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i 1/100)) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) (/.f64 (*.f64 n (-.f64 100 100)) i))))
(if (<=.f64 i -1577879649798847/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i 1/100)) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) (/.f64 (*.f64 n 0) i))))
(if (<=.f64 i -1577879649798847/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) (/.f64 (*.f64 n (-.f64 100 100)) i))))
(if (<=.f64 i -1577879649798847/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) (/.f64 (*.f64 n 0) i))))
(if (<=.f64 i -8358680908399641/144115188075855872) (/.f64 (*.f64 n (-.f64 100 100)) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 n (*.f64 100 i)) i) (/.f64 (*.f64 n (-.f64 100 100)) i))))
(if (<=.f64 i -8358680908399641/144115188075855872) (/.f64 (*.f64 n 0) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (+.f64 (/.f64 -1/2 n) 1/2))))) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 n (*.f64 i 100)) i) (/.f64 (*.f64 n 0) i))))
(if (<=.f64 i -71000000000000000) (/.f64 (*.f64 n (-.f64 100 100)) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 n (*.f64 100 i)) i) (/.f64 (*.f64 n (-.f64 100 100)) i))))
(if (<=.f64 i -71000000000000000) (/.f64 (*.f64 n 0) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 100 (*.f64 n (+.f64 1 (*.f64 i (/.f64 -1/2 n))))) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 n (*.f64 i 100)) i) (/.f64 (*.f64 n 0) i))))
(if (<=.f64 i -71000000000000000) (/.f64 (*.f64 n (-.f64 100 100)) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (+.f64 (*.f64 i -50) (*.f64 100 n)) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 n (*.f64 100 i)) i) (/.f64 (*.f64 n (-.f64 100 100)) i))))
(if (<=.f64 i -71000000000000000) (/.f64 (*.f64 n 0) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (+.f64 (*.f64 i -50) (*.f64 n 100)) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (/.f64 (*.f64 n (*.f64 i 100)) i) (/.f64 (*.f64 n 0) i))))
(if (<=.f64 i -71000000000000000) (/.f64 (*.f64 n (-.f64 100 100)) i) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (+.f64 (*.f64 i -50) (*.f64 100 n)) (if (<=.f64 i 8356095265176317/154742504910672534362390528) (*.f64 (/.f64 100 i) (*.f64 n i)) (/.f64 (*.f64 n (-.f64 100 100)) i))))
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(if (<=.f64 i -6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 (*.f64 i 100) (/.f64 i n)) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (+.f64 (*.f64 i -50) (*.f64 100 n)) (if (<=.f64 i 6547527335242445/374144419156711147060143317175368453031918731001856) (*.f64 (/.f64 100 i) (*.f64 n i)) (/.f64 (*.f64 i 100) (/.f64 i n)))))
(if (<=.f64 i -6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 (*.f64 i 100) (/.f64 i n)) (if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (+.f64 (*.f64 i -50) (*.f64 n 100)) (if (<=.f64 i 6547527335242445/374144419156711147060143317175368453031918731001856) (*.f64 (/.f64 100 i) (*.f64 i n)) (/.f64 (*.f64 i 100) (/.f64 i n)))))
(if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 n 100) (*.f64 (/.f64 100 i) (*.f64 n i)))
(if (<=.f64 i 2429374103481523/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (*.f64 n 100) (*.f64 (/.f64 100 i) (*.f64 i n)))
(*.f64 n 100)
(*.f64 i -50)
Compiler

Compiled 562 to 364 computations (35.2% saved)

soundness260.0ms (1%)

Algorithm
3×egg-herbie
Rules
1083×fma-def_binary64
746×associate-/r*_binary64
701×fma-def_binary64
561×associate-/r/_binary64
549×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030900
173820
2184820
3583746
41818680
54411680
66038680
01122
12922
26820
317220
453120
5239320
6726320
03704211
112493933
249633738
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 349 to 252 computations (27.8% saved)

end175.0ms (0.7%)

Compiler

Compiled 536 to 321 computations (40.1% saved)

Profiling

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